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Mechanics of Fluids

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680 Appendix 4: Algebraic symbols<br />

Table A4.1 (contd.)<br />

Symbol Definition Dimensional<br />

formula<br />

c average clearance in journal bearing [L]<br />

c velocity (celerity) <strong>of</strong> wave propagation [LT−1 ]<br />

cf cp<br />

local skin friction coefficient<br />

specific heat capacity at constant<br />

pressure<br />

[1]<br />

[L2T−2�−1 ]<br />

cν specific heat capacity at constant<br />

volume (i.e. at constant density)<br />

[L2T−2�−1 ]<br />

D drag force [MLT −2 ]<br />

D diameter, especially <strong>of</strong> piston or rotor [L]<br />

Di vortex or induced drag [MLT −2 d diameter, especially <strong>of</strong> pipe<br />

]<br />

[L]<br />

E modulus <strong>of</strong> elasticity [ML−1T−2 ]<br />

E energy <strong>of</strong> system [ML2T−2 ]<br />

E specific energy in open channel,<br />

h + u2 /2g<br />

[L]<br />

e internal energy divided by mass [L2T−2 ]<br />

e eccentricity <strong>of</strong> journal bearing [L]<br />

F a force [MLT −2 ]<br />

F force divided by length in<br />

two-dimensional flow<br />

[MT −2 ]<br />

Fr Froude number, u/(gl) 1/2 [1]<br />

f friction factor [1]<br />

g gravitational acceleration [LT −2 ]<br />

H total head [L]<br />

H upstream surface level above crest <strong>of</strong> [L]<br />

notch or weir<br />

Hm manometric head <strong>of</strong> pump [L]<br />

h depth below free surface <strong>of</strong> liquid [L]<br />

h head <strong>of</strong> liquid [L]<br />

h clearance in bearing [L]<br />

h depth <strong>of</strong> flow in open channel [L]<br />

h specific enthalpy = e + p/ϱ [L2T−2 ]<br />

hf hi hl i<br />

head lost to friction<br />

inertia head<br />

head lost<br />

energy gradient in open channel<br />

[L]<br />

[L]<br />

[L]<br />

[1]<br />

K a constant<br />

K bulk modulus <strong>of</strong> elasticity [ML−1T−2 ]<br />

K ′ effective bulk modulus <strong>of</strong> fluid in elastic<br />

pipe<br />

[ML−1T−2 ]<br />

Ks isentropic bulk modulus [ML−1T−2 ]<br />

k a constant<br />

k head loss coefficient [1]<br />

k Kozeny function [1]<br />

k radius <strong>of</strong> gyration [L]<br />

k roughness size [L]<br />

L length <strong>of</strong> journal bearing [L]<br />

L lift force [MLT −2 ]<br />

l a length [L]

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