Handbook of Turbomachinery Second Edition Revised - Ventech!

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e provided in the simulation environment. It is a known that turbulent flow imposes a different momentum balance because of the existence of turbulent shear forces in addition to the shear forces due to molecular viscosity. Fluid elements also experience additional forces due to inherent periodic unsteadiness in the turbine. Thus the convective heat transfer to the surface is increased by the additional heat flux due to turbulence as well as inherent unsteadiness. To simulate the external convective heat transfer, the local Reynolds number at the inlet of the blade (or nozzle) is calculated under engine conditions. The same Reynolds number needs to be reproduced at the inlet of the hot cascade. The total pressure at the inlet section of the cascade can then be calculated in such a way that both the inlet Reynolds number and the Mach number values are matched for the prescribed cascade operating temperature. The geometric similarity condition or the characteristic length in the expression for the Nusselt and Reynolds numbers can be satisfied easily by using a full-scale model in the cascade test section. For the same Reynolds number in the turbine and hot cascade, by using the equation of state and the definition of the Mach number, the free-stream mass flux rate can be defined as rhcUhc ¼ mhc rturWtur ¼ mtur Phc pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi Ma ghcRhcThc RhcThc If the component simulated is a rotor blade, then Wtur corresponds to the relative velocity with respect to the rotor. The static pressure, Phc, and temperature Thc, values for the hot cascade can be replaced with the total quantities by using the isentropic relations. The expression for the total pressure of the hot cascade corresponding to an operator-selected cascade total temperature can then be obtained from Pohc ¼ mhcrturWtur qffiffiffiffiffi 1 þ ðghc 1Þ 2 Ma2 m turMa g hc Rhc ghc ghc 1 sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi Tohc ð1 þ ðghc 1Þ 2 Ma2Þ At this stage, turbine conditions including the local Mach and Reynolds numbers are known. The total temperature can easily be controlled by changing the combustor operating conditions. Calculation of the hot cascade total pressure requires an iterative procedure because the specific heat ratio and the gas constant in the hot cascade are not known initially. Although the static temperature in the cascade is not known yet also, the total temperature is defined. The specific heat ratio has some nonnegligible static temperature dependence. Since the hot cascade static temperature is not known initially, the fluid properties can be approximately evaluated at Copyright © 2003 Marcel Dekker, Inc.
the turbine static temperature (rotor exit). This approach allows the first approximate calculation of total pressure, static temperature, and static pressure in the hot cascade. At this step, there is some error in the three quantities calculated initially because of the first approximation made of the specific heat ratio and gas constant. The resulting hot cascade static temperature, Thc, is much more accurate than the first approximation, which is Thc ¼ Ttur. If one obtains the necessary properties with the new static temperature and recalculates the total pressure, static temperature, and static pressure in the hot cascade, the new result will be more accurate than the results obtained in the previous steps. If this process is repeated a few times until the properties converge to a stable value, an exact solution to the hot cascade total pressure can be obtained. Once the free-stream total temperature is chosen in the simulating experiment, the total coolant temperature is calculated by matching the ratio of total coolant to free-stream temperature of the engine. Although engine coolant flow rate is usually expressed as a fraction of the main-stream gas flow rate, different total temperature conditions existing in the turbine and the simulating experiment may result in significantly different values of the coolant mass flow rates when the coolant Reynolds number is kept the same for both the turbine and the simulator (hot cascade rig) due to coolant viscosity variation. Therefore, the ratio of the hot cascade coolant to freestream mass flow rate should be adjusted in such a way that it matches the coolant Reynolds number of the turbine. If the internal cooling passage is designed with a high coolant velocity, a match of the coolant local Mach number should be imposed. Application of actual airfoils (or their prototypes) in the hot cascade ensures similarity in the conduction heat transfer. Practically useful (for the final design) conjugate heat-transfer experimental data can be obtained when external and internal convective heat-transfer similarity is achieved in addition to similarity in the conduction heat transfer. Turbine Disc Experimental Boundary Conditions For the last 30 years there has been a growing interest in fluid mechanics and heat transfer for the rotating disc systems. Dorfman (1960) [130] published analytical solutions based on the Reynolds analogy, for the rotating disc– stator system. Most of the early experimental studies performed for simplified generic case (unbladed disc rotating in the unshrouded plenum) were redirected toward practical turbine disc–cooling application. Later studies have addressed effects of the preswirler, which feeds cooling air into the blade and disc rim seal to prevent disc plenum from hot gas ingress. Copyright © 2003 Marcel Dekker, Inc.
Page 1 and 2:
D E K K E R Handbook of Turbomachin
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MECHANICAL ENGINEERING A Series of
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61 Computer-Aided Simulation in Rai
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127 Designing for Product Sound Qua
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Preface to the Second Edition The o
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Preface to the Second Edition Prefa
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Contributors Nathan G. Adams The Bo
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1 Introduction Earl Logan, Jr.*, an
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HISTORICAL BACKGROUND Earl Logan, J
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MECHANICAL AND THERMAL DESIGN CONSI
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Figure 1 Cross-section showing the
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Figure 2 Turboprop engine, TPE 331-
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Figure 4 Auxiliary power unit, APU1
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Durability. The mechanical and ther
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with time during flight. Such a typ
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experience and existing similar des
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adverse pressure gradient against w
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and its attachments. A substantial
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Figure 9 Typical high-pressure turb
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and the measurement of local heat-t
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due to cyclic operation. In additio
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the steady and transient conditions
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Table 3(a) Steps in a Three-Dimensi
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Figure 16 Schematic Goodman diagram
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occur due to particles of unburned
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pressures at critical points. These
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1. Ceramics are subject to ‘‘in
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with Transient Tests and Surface Co
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Overall engine performance goals tr
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Much of the complexity of turbomach
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End-wall boundary layers can also h
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pressure at the wake centerline. Th
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the same vaneless diffuser and shro
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from internal cooling passages, thr
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Further downstream, the wake was ev
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to its original position. This unst
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cooling film was found to trip the
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shroud static pressure and the exit
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stage in the design process allows
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Flow Physics Modeling Modeling of t
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passage to the next, assuming that
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The next step in modeling accuracy
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tend to be large, due to the necess
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Navier-Stokes equations are time-ma
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To satisfy these requirements, it i
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are discussed by a number of author
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source code, and to assign each seg
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selected locations in the flow path
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of the component designers must be
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Trends in Flow Modeling Capabilitie
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optimize the flow behavior. The eff
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20. D. Eckardt, ‘‘Flow Field An
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49. K. R. Kirtley, ‘‘An Algebra
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INTRODUCTION 3 Turbine Gas-Path Hea
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Figure 1 Maximum turbine rotor inle
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Figure 2 Intersecting S1 and S2 sur
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determination. Nothing in the simpl
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e well matched with the engine. The
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case different forms of the popular
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volume will be equal to the accumul
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Figure 9 Nusselt number vs. vane su
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Furthermore, to keep computer time
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Figure 12 Comparison of three turbu
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and small and cooled and uncooled t
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Figure 15 Miniature heat flux gauge
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Figure 17 Time resolved heat transf
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Figure 19 Surface pressure changes
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NONUNIFORM INLET FLOW All gas turbi
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Figure 22 Typical distributions of
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4. Better instrumentation for heat-
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24. R. H. Ni, ‘‘A Multiple Grid
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4 Selection of a Gas Turbine Coolin
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Re L ¼ rVL=m—Reynolds number bas
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(1,300 8F). But modern gas turbines
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during engine operation are compati
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Figure 3 Airfoil cooling techniques
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expected to increase this limit to
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1. Reduce the effect of main-stream
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P? is total inlet pressure. Tc=T? i
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thereby increasing both the skin-fr
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After four decades of advancement i
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correspondingly high coolant-side t
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component. Use of a hot cascade for
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nozzle vanes is limited by their ox
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Figure 9 Typical turbine hot sectio
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important factor to consider for tr
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Figure 10 Evolution of nozzle geome
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the exit of the combustor section f
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Figure 12 Inlet turbulence effect o
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in heat transfer as the Reynolds nu
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easonably well using correlations e
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in the section on blade cooling tha
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mass flow rate (e.g., M ¼ 1 for a
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holes. Cooling hole pattern is an i
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coolant flow with the main stream,
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above equation assumes a constant f
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Figure 15 Definition of film-coolin
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Page 197 and 198: Three-Dimensional Effects The three
Page 199 and 200: In order to achieve the bulk metal
Page 201 and 202: coefficient is given by Nud ¼ hd=k
Page 203 and 204: Where G ¼ 2:24ðw=tÞ 0:1 ðReeÞ
Page 205 and 206: pressure drop. The 608/458 V-shaped
Page 207 and 208: Some of the studies have found that
Page 209 and 210: of the cooling air and the turning
Page 211 and 212: Figure 20 Impingement geometry defi
Page 213 and 214: correlated by Nu a d ¼ 0:63ðGd=m
Page 215 and 216: tangentially to the inner wall, beh
Page 217 and 218: The effectiveness of a suction surf
Page 219 and 220: vortex structure. Their studies sho
Page 221 and 222: Figure 23 Effect of preswirler pres
Page 223 and 224: component to the cooling air that c
Page 225 and 226: axial gap. A static pressure variat
Page 227 and 228: Weight, cost, and complexity constr
Page 229 and 230: Figure 28 Effectiveness of liner co
Page 231 and 232: thickness. A problem this poses is
Page 233 and 234: portion of the hole has been shown
Page 235 and 236: unacceptable engine performance pen
Page 237 and 238: analysis, in order to provide accur
Page 239 and 240: Figure 30 Application of PSP for fi
Page 241 and 242: thermocouple positioned close to th
Page 243 and 244: spray-painted black (Hallcrest, BB-
Page 245: Figure 32 Schematics of a hot casca
Page 249 and 250: Figure 33 Experimental rig for inve
Page 251 and 252: their color when exposed to higher
Page 253 and 254: margins defined within each discipl
Page 255 and 256: them. The larger gas-path divergenc
Page 257 and 258: Figure 36 Blade-cooling selection d
Page 259 and 260: 8. B. Barry, Turbine Blade Cooling:
Page 261 and 262: 40. A. K. Tolpadi and M. E. Crawfor
Page 263 and 264: 73. R. S. Abhari, ‘‘Comparison
Page 265 and 266: 106. J. M. Owen and R. H. Rogers, F
Page 267 and 268: 138. I. Egorov, G. Kretinin, I. Les
Page 269 and 270: integrity (stress levels) will have
Page 271 and 272: Figure 1 Instant entropy contours o
Page 273 and 274: Aerodynamic Interaction (Unsteady L
Page 275 and 276: Figure 3 Pitchwise time-averaged en
Page 277 and 278: The above considerations are all fo
Page 279 and 280: lades, the wavelength of the distur
Page 281 and 282: forcing and damping, and hence the
Page 283 and 284: frequency and its higher harmonics
Page 285 and 286: The two-cell pattern with a relativ
Page 287 and 288: Figure 9 Typical blade flutter boun
Page 289 and 290: field is generated to satisfy the t
Page 291 and 292: Figure 11 Instant static pressure c
Page 293 and 294: Figure 12 Calculated instantaneous
Page 295 and 296: Figure 14 Time-space static pressur
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one period Tp (neglecting change of
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It should be noted that the effects
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There are some further points to no
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Figure 17 Flow around an NACA-65 ai
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(11) for a simple case]: Where WA
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Regardless whether loosely coupled
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Several methods have been developed
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significant difference is introduce
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losses, but it may affect to a mini
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when we refine a mesh in an unstead
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8. W. S. Barankiewicz and M. D. Hat
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6 Fundamentals of Compressor Design
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Figure 3 AlliedSignal 331 turboprop
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each of the selected radii. The pro
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components of gas velocity upstream
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Observe that each of the curves for
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The conservation of angular momentu
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allowable static pressure ratio of
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Figure 7 Boundary layers and wakes
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component that is perpendicular to
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Figure 10 (a) Deflection of flow of
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increase in the downstream pressure
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Mach number at a compressor outlet
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Figure 12 Sketch of flow surface an
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useful shapes and orientations of b
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where G and oa are constant along a
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There is a good reason for this sit
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Projected Shape in Meridional Plane
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inherent flow range of the impeller
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compressors. Multistage centrifugal
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turbines. In these designs the high
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Corrections for Streamline Curvatur
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Preparation of Maps Once the losses
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that circumferential gradients meas
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Nastran, which was developed by NAS
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tests. One should take pains to pro
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e predicted in advance. Total press
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Cv Coefficient of heat at constant
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15. S. Lieblein, J. Basic Eng., Tra
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INTRODUCTION 7 Fundamentals of Turb
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Figure 1 Cross sections of generic
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espectively. Radial-inflow turbines
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Figure 4 Typical rotor blade shapes
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Figure 6 The expansion process acro
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the average for the gas flowing thr
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etween the velocity diagram and the
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gas dynamics relation p 00 p ¼ T 0
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Figure 9 Variations in turbine velo
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pressure, inlet losses are usually
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diffuser recovery, defined as Rp ¼
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different turbines easier, dimensio
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where and y ¼ T 0 in TSTD d ¼ p0
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sizing exercises where the details
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where Rth is the Reynolds number ba
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order to determine the overall turb
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The classical approach to satisfyin
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clearance. Since tip clearance repr
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turbine with an effective diffuser,
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atio ðp 0 in =pdisÞ is 3. The sta
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Automation of Calculations and Trad
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and for the rotor Zrotor ¼ ð0:1Þ
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the energy extracted and the rotor
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RADIAL-INFLOW TURBINE SIZING Differ
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interpolations from existing design
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Glassman [1], the optimum ratio of
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design fault in the radial-inflow t
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[27]. In order to avoid manufacturi
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The rotor exit critical velocity is
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The hub-to-tip radius ratio at the
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REFERENCES 1. A. J. Glassman (ed.),
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8 Steam Turbines Thomas H. McCloske
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Figure 3 Reciprocating steam engine
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This process began in the 1920s, al
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First Law of Thermodynamics The fir
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the amount of fuel burned and the p
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Figure 7 Rankine cycle temperature-
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The Mollier diagram is quite useful
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Figure 10 Theoretical Rankine cycle
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stages of the turbine is at a highe
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calculate the relevant thermodynami
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Figure 14 Steam leakage losses for
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can reveal nozzle and/or blade eros
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Figure 17 Enlarged portion of the M
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Traditionally, pressures have been
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Figure 21 Wetness thermodynamic los
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Figure 23 Radial steam turbine flow
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Figure 25 Percentage stage reaction
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The power output of the stage can b
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the LP turbines is split into paral
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Turbine Inlet Two stages in particu
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of 20%, which would cause excessive
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Figure 30 Typical low-pressure stea
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ductility and poor toughness, since
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‘‘tramp’’ elements to minim
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End Seals End seals or packing glan
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Drains Condensate can form during s
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Figure 32 Steam turbine blade roots
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Figure 34 Cross-section view of thr
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Figure 36 Interblade shroud and Tie
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Where The influence of notch sensit
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Similarly, LP turbine blades are su
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those made of steel. Note, however,
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esult, significant attention must b
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Figure 38 Centrifugal stresses on a
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Figure 39 Centrifugal bending stres
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onto the rotating blade. These can
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Vortex shedding from blade trailing
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Figure 42 Torsional coupled vibrati
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Figure 44 Stall flutter of low-pres
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Start-Stop Transients/Overspeeds La
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(4) ellipiticity, such as caused by
Page 519 and 520:
Figure 47 Campbell diagram (frequen
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Furthermore, in practice each manuf
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Figure 49 Modal diameters of a low-
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Figure 51 Three-dimensional computa
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Figure 52 Converging wedge and resu
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value as the operating value of uv/
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Lubrication Supply System Design De
Page 533 and 534:
Figure 56 Steam turbine oil system
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The main oil reservoir is located b
Page 537 and 538:
Although a light oil does provide a
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temperatures are suspected as reaso
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There is no fixed or absolute value
Page 543 and 544:
pivots incorporated in this bearing
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covers and doors. Pipe scale, rust,
Page 547 and 548:
Figure 63 Mechanical hydraulic cont
Page 549 and 550:
Figure 64 Steam turbine electro-hyd
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Figure 65 Steam turbine electro-hyd
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generator rotor moment of inertia h
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the turbine against overspeed. This
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an additional electronic overspeed
Page 559 and 560:
Figure 68 Steam turbine protective
Page 561 and 562:
3. Need for better understanding of
Page 563 and 564:
REFERENCES 1. J. C. Zink, ‘‘Ste
Page 565 and 566:
No. TWDPS-1, The American Society o
Page 567 and 568:
58. A. V. Sarlashkar and T. C. T. L
Page 569 and 570:
81. IEEE Guide for Abnormal Frequen
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Atlanta, GA, Oct. 18-22, 1992, PWR-
Page 573 and 574:
Performance Enhancement Program, he
Page 575 and 576:
of the design process toward achiev
Page 577 and 578:
procedure capable of addressing mul
Page 579 and 580:
to achieve a specific target pressu
Page 581 and 582:
objective was to minimize the downs
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more closely represents the largest
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temperature by forming a thin film
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such as the one described here. For
Page 589 and 590:
k is the thermal conductivity of th
Page 591 and 592:
through finite differences. Mathema
Page 593 and 594:
Figure 4 Comparison of blade cross-
Page 595 and 596:
integration of multiple disciplines
Page 597 and 598:
17. S. S. Talya, ‘‘Multidiscipl
Page 599 and 600:
INTRODUCTION 10 Rotordynamic Consid
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Figure 1 (c) AlliedSignal 331 turbo
Page 603 and 604:
Figure 2 Rotor system displacements
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Figure 3 Elliptic lateral whirl. av
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vibration (either forward or backwa
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Figure 6 The Laval-Jeffcott rotor.
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are 1808 out of phase (i.e., the be
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this graph is quite simple; however
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included on these types of graphs b
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on the shaft is zero. Thus, the ste
Page 619 and 620:
are uðtÞ ¼e zeott uo cos ott þ
Page 621 and 622:
satisfies the inequality O < ot 1
Page 623 and 624:
Figure 16 Laval-Jeffcott rotor tran
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Figure 18 Whirl speed map: Laval-Je
Page 627 and 628:
Figure 20 Laval-Jeffcott rotor: ste
Page 629 and 630:
Figure 22 Typical precessional mode
Page 631 and 632:
Figure 24 Examples of flexible disk
Page 633 and 634:
ackward modes, however, involve con
Page 635 and 636:
Figure 29 Steady unbalance response
Page 637 and 638:
assist in attenuating high vibratio
Page 639 and 640:
properly sizing the damper, a highl
Page 641 and 642:
Figure 31 Gas turbine schematic and
Page 643 and 644:
Flexible Disk If the frequency of a
Page 645 and 646:
motion for each subsegment to form
Page 647 and 648:
Figure 35 Whirl speed map—straddl
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Figure 37 Rotor-bearing-support str
Page 651 and 652:
DESIGN STRATEGIES AND PROCEDURES Ro
Page 653 and 654:
Figure 38 Straddle mounted rotor. (
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Figure 39 Unbalance response: strad
Page 657 and 658:
Figure 40 Double overhung rotor—d
Page 659 and 660:
earing supports are reduced. The th
Page 661 and 662:
and also increases the critical spe
Page 663 and 664:
Examples of structure modes couplin
Page 665 and 666:
REFERENCES 1. D. Childs, Turbomachi
Page 667 and 668:
section is intended to place today
Page 669 and 670:
pressure-fed propellant systems. Hi
Page 671 and 672:
normally be considered a very small
Page 673 and 674:
increase of required suction perfor
Page 675 and 676:
displaced by the F-1 oxidizer pump
Page 677 and 678:
exposure may be subjected to imping
Page 679 and 680:
the exhaust duct. Sized to create s
Page 681 and 682:
excess of 6,000 psi for consumption
Page 683 and 684:
lifetime. With very few exceptions,
Page 685 and 686:
using hydrocarbon fuel combustion p
Page 687 and 688:
can yield noticeable savings in req
Page 689 and 690:
Figure 3 Rocket engine system schem
Page 691 and 692:
Figure 6 Staged combustion system,
Page 693 and 694:
each stage. The term C0 represents
Page 695 and 696:
Figure 10 Some representative turbo
Page 697 and 698:
emembered that the second (and any
Page 699 and 700:
the greatest demands on turbopump p
Page 701 and 702:
momentum exchange between working f
Page 703 and 704:
Figure 13 Arrangement of various tu
Page 705 and 706:
pressure levels. As long as combust
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Figure 14 Approxmate values of pump
Page 709 and 710:
liquid rocket engine systems, and e
Page 711 and 712:
above becomes a factor. This statem
Page 713 and 714:
We can then state (correctly) that,
Page 715 and 716:
Figure 15c Typical 2-D centrifugal
Page 717 and 718:
have seen that the flow rate throug
Page 719 and 720:
somewhat smaller magnitude of vecto
Page 721 and 722:
general indicator. Nss will give us
Page 723 and 724:
U ¼ rotor tangential velocity. By
Page 725 and 726:
and pump flow derived from the engi
Page 727 and 728:
In addition to shaft seals, shaft b
Page 729 and 730:
should be understood that the optim
Page 731 and 732:
stable operation is assured. In som
Page 733 and 734:
From Eq. (16) an impeller radial ou
Page 735 and 736:
Figure 18 Examples of centrifugal p
Page 737 and 738:
tional to clearance distance) with
Page 739 and 740:
I would like to conclude this secti
Page 741 and 742:
generally result in lower pump hydr
Page 743 and 744:
Figure 15h Cross-section of a typic
Page 745 and 746:
solutions of Eq. (7) for both stage
Page 747 and 748:
Figure 15k H-Q characteristics for
Page 749 and 750:
Figure 15l Typical inducer configur
Page 751 and 752:
camber) is proportionally lower. Th
Page 753 and 754:
Figure 22 Single-stage impulse turb
Page 755 and 756:
the velocity ratio K, but in somewh
Page 757 and 758:
~V and ~n ¼ fluid velocity and con
Page 759 and 760:
Fig. 25. The nature of the flow in
Page 761 and 762:
Although shrouded centrifugal impel
Page 763 and 764:
is a parasitic device, whose flow r
Page 765 and 766:
apidly than does the inducer thrust
Page 767 and 768:
Figure 30 LH2 turbopump rotor mecha
Page 769 and 770:
eplacement of a failed bearing with
Page 771 and 772:
shall see, contemporary rocket engi
Page 773 and 774:
needs of the aircraft gas turbine a
Page 775 and 776:
was increased due to engine upratin
Page 777 and 778:
12 Turbomachinery Performance Testi
Page 779 and 780:
istics. The more accurate the perfo
Page 781 and 782:
Inlet Distortion Most turbomachiner
Page 783 and 784:
Gas Thermodynamic Properties Turbom
Page 785 and 786:
ought to rest isentropically. Total
Page 787 and 788:
include not only the pressure chang
Page 789 and 790:
The circumferential placement of th
Page 791 and 792:
simply arithmetically averaging the
Page 793 and 794:
usually mounted in radial immersion
Page 795 and 796:
Figure 12(b) Radial flow angle prof
Page 797 and 798:
Figure 15 Wake rake total pressure
Page 799 and 800:
Figure 16 Blade-tip pressure traces
Page 801 and 802:
Figure 18 Typical test rig schemati
Page 803 and 804:
INSTRUMENTATION DESIGN CONSIDERATIO
Page 805 and 806:
Dynamic Pressure. Dynamic pressure
Page 807 and 808:
thermocouples. With care in constru
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Figure 24 Typical two-dimensional f
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Thermocouple lead wires should be i
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Corrected Flow The flow rates used
Page 815 and 816:
pressure ratio [15]. It can be calc
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SYMBOLS A Cross-section area Cd Dis
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INTRODUCTION 13 Automotive Supercha
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Figure 2 A Roots-type supercharger
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The supercharger was in routine use
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Table 1 Superchargers Versus Turboc
Page 827 and 828:
1960s, turbocharging was used by US
Page 829 and 830:
Roots Blower The Roots-type blower
Page 831 and 832:
speeds. The sound is caused by the
Page 833 and 834:
Figure 8b How the Ro-charger operat
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The vanes in many designs are preve
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Figure 11a Key components of the G-
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Figure 11c G-Lader supercharger is
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Figure 12b Schematic of centrifugal
Page 843 and 844:
Figure 14b Components of the typica
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Turbine Design The turbine housing
Page 847 and 848:
inertia of the wheel assembly. Mini
Page 849 and 850:
Figure 18 (a) Turbocharger compress
Page 851 and 852:
Theoretically this efficiency is: o
Page 853 and 854:
The overall turbine efficiency incl
Page 855 and 856:
adjust the spring force to vary the
Page 857 and 858:
Figure 22b Two vanes are used to pr
Page 859 and 860:
However, the temperature has to be
Page 861 and 862:
air can reduce carbon monoxide and
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Figure 25 (a) Schematic of the COMP
Page 865 and 866:
this plus the fact that the exhaust
Page 867 and 868:
14 Tesla Turbomachinery Warren Rice
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press at the time of the invention
Page 871 and 872:
can be made to simplify the equatio
Page 873 and 874:
comparison of the results of variou
Page 875 and 876:
y composing them of nested cones ra
Page 877 and 878:
26. E. Bakke, ‘‘Theoretical and
Page 879 and 880:
61. M. Piesche, ‘‘Investigation
Page 881 and 882:
15 Hydraulic Turbines V. Dakshina M
Page 883 and 884:
Table 1 Variables of Interest in Tu
Page 885 and 886:
Figure 1 Variation of impeller shap
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Figure 2 Flow and velocity componen
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Figure 3 Schematic diagram of Pelto
Page 891 and 892:
shown in Fig. 5(see KadambiandPrasa
Page 893 and 894:
classified according to the directi
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The manufacturers of hydraulic turb
Page 897 and 898:
The direction of the relative veloc
Page 899 and 900:
Table 3 Variation of Some Quantitie
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denoted by hd. Thus the efficiency
Page 903 and 904:
Figure 14 Draft tube setting. same
Page 905:
REFERENCES 1. J. J. Fritz, Small an
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Handbook of Turbomachinery Second Edition Revised - Ventech!

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