analysis of transient heat conduction in different geometries - ethesis ...

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REFRENCES 1. P. Keshavarz and M. Taheri, “An improved lumped analysis for transient heat conduction by using the polynomial approximation method”, Heat Mass Transfer, 43, (2007), 1151– 1156 2. Jian Su, “Improved lumped models for asymmetric cooling of a long slab by heat convection”, Int. Comm. Heat Mass Transfer, 28, (2001), 973-983 3. Jian Su and Renato M. Cotta , “Improved lumped parameter formulation for simplified LWR thermohydraulic analysis”, Annals of Nuclear Energy, 28, (2001), 1019–1031 4. E.J. Correa and R.M. Cotta, “Enhanced lumped-differential formulations of diffusion Problems”, Applied Mathematical Modelling 22 (1998) 137-152 5. A.G. Ostrogorsky, “Transient heat conduction in spheres for Fo
12. O¨. Ercan Ataer, “An approximate method for transient behavior of finned-tube crossflow heat exchangers”, International Journal of Refrigeration, 27, (2004), 529–539 13. H. Sadat, “A second order model for transient heat conduction in a slab with convective boundary conditions, Applied Thermal Engineering, 26, (2006), 962–965 14. Evaldiney R. Monteiro a, Emanuel N. Macêdo b, João N.N. Quaresma b and Renato M. Cotta, “Integral transform solution for hyperbolic heat conduction in a finite slab”, International Communications in Heat and Mass Transfer, 36, (2009), 297–303 15. Jian Su, “Improved lumped models for trainsient radiative cooling of a sbherical body”,Int. Comn. Heat Mass Transfer, 31, (2004), 85-94 16. A. Shidfara, G.R. Karamalib and J. Damirchia, “An inverse heat conduction problem with a nonlinear source term”, Nonlinear Analysis, 65, (2006), 615–621 17. Shijun Liao a, Jian Su b and Allen T. Chwang, “Series solutions for a nonlinear model of combined convective and radiative cooling of a spherical body”, International Journal of Heat and Mass Transfer, 49, (2006), 2437–2445 18. F. de Monte, “Transient heat conduction in one-dimensional composite slab. A `natural' analytic approach”, International Journal of Heat and Mass Transfer, 43, (2000), 3607- 3619 19. Auro C. Pontedeiro a, Renato M. Cotta b and Jian Su, “Improved lumped model for thermal analysis of high burn-up nuclear fuel rods”, Progress in Nuclear Energy, 50, (2008), 767-773 20. M. D. Mikhailov and R. M. Cotta, “Steady-Periodic Hyperbolic heat conduction in a finite slab” Int. Comm. Heat Mass Transfer, 24, (1997), 725-731 21. Antonio campo and Rafael Villasenor, “Subregion of validity of the limped based model for trainsient, radiative cooling of spherical bodies to a zero temperature sink”, Int. Comm. Heat Mass Transfer, 23, (1996), 855-864 22. K.R. Lin, P.S. Wei and S.Y. Hsiao, “Unsteady heat conduction involving phase changes for an irregular bubble/particle entrapped in a solid during freezing – An extension of the heat-balance integral method”, International Journal of Heat and Mass Transfer, 52, (2009), 996–1004 56
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ANALYSIS OF TRANSIENT HEAT CONDUCTI
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National Institute of Technology Ro
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CONTENTS Abstract i List of Figures
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ABSTRACT Present work deals with th
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Fig4.6 Average dimensionless temper
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NOMENCLTURE B Biot Number k Thermal
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1.1 GENERAL BACKGROUND CHAPTER 1 IN
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direction. When no single and domin
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though the atmosphere has already b
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higher. When Biot number is more th
Page 21 and 22: 1.8 OBJECTIVE OF PRESENT WORK 1. An
Page 23 and 24: 2.1 INTRODUCTION CHAPTER 2 LITERATU
Page 25 and 26: A. G. Ostrogorsky [5] has used Lapl
Page 27 and 28: linear polynomial pieces which are
Page 29 and 30: error. In this case the approximate
Page 31 and 32: systems based on the flux formulati
Page 33 and 34: CHAPTER 3 THEORTICAL ANALYSIS OF CO
Page 35 and 36: equation. This can then be converte
Page 37 and 38: Based on the analysis a closed form
Page 39 and 40: a + 2a =−Bθ 1 2 Subtracting the
Page 41 and 42: ∂T 1 ∂ ⎛ m ∂T ⎞ = α r G
Page 43 and 44: Thus, a 2 Bθ =− 2 We can also wr
Page 45 and 46: We consider the heat conduction in
Page 47 and 48: Thus, a 1 = 0 (3.86) Applying secon
Page 49 and 50: θ = − τU e + V U ⎛ 2B ⎞ U =
Page 51 and 52: Differentiating the above equation
Page 53 and 54: 3.7 TRAINSIENT HEAT CONDUCTION IN C
Page 55 and 56: Thus a + 2a =−Bθ 1 2 a 2 Bθ =
Page 57 and 58: CHAPTER 4 RESULT AND DISCUSSION
Page 59 and 60: Dimensionless temperature (θ) 1000
Page 61 and 62: 4.2 HEAT GENERATION FOR BOTH SLAB A
Page 63 and 64: Dimensionless temperature (θ) 1.1
Page 65 and 66: Dimensionless temperature 1.0 0.8 0
Page 67 and 68: Table 4.2 Comparison of modified Bi
Page 69 and 70: 5.1 CONCLUSIONS CHAPTER 5 CONCLUSIO
Page 71: CHAPTER 6 REFRENCES
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