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

More documents

Recommendations

Info

LIST OF FIGURES Figure No. Page No. Chapter 1 Fig 1.1 Schematic of variation of Biot number in a slab 6 Chapter 3 Fig 3.1 Schematic of slab with boundary heat flux 19 Fig 3.2 Schematic of a tube with heat flux 23 Fig 3.3 Schematic of slab with heat generation 27 Fig 3.4 Schematic of tube with heat generation 31 Fig 3.5 Schematic of slab 36 Fig 3.6 Schematic of cylinder 39 Chapter 4 Fig 4.1 Average dimensionless temperature versus dimensionless time for slab, B=1 43 Fig 4.2 Average dimensionless temperature versus dimensionless time for slab, Q=1 44 Fig 4.3 Average dimensionless temperature versus dimensionless time for tube, B=1 45 Fig 4.4 Average dimensionless temperature versus dimensionless time for tube, Q=1 45 Fig4.5 Average dimensionless temperature versus dimensionless time in a slab with constant Biot number for different heat generation 46 ii
Fig4.6 Average dimensionless temperature versus dimensionless time in a slab with constant heat generation for different Biot number 47 Fig 4.7 Average dimensionless temperature versus dimensionless time in a tube with constant heat generation for different Biot number 48 Fig 4.8 Average dimensionless temperature versus dimensionless time in a tube with constant Biot number for different heat generation 48 Fig 4.9 Variation of average temperature with dimensionless time, for P=1 to 40 for a slab 49 Fig 4.10 Variation of average temperature with dimensionless time, for B=1 to 5 for a slab 50 Fig 4.11 Comparison of solutions of PAM, CLSA and Exact solution for a slab having internal heat generation 51 iii
Page 1 and 2: ANALYSIS OF TRANSIENT HEAT CONDUCTI
Page 3 and 4: National Institute of Technology Ro
Page 5 and 6: CONTENTS Abstract i List of Figures
Page 7: ABSTRACT Present work deals with th
Page 11 and 12: NOMENCLTURE B Biot Number k Thermal
Page 13 and 14: 1.1 GENERAL BACKGROUND CHAPTER 1 IN
Page 15 and 16: direction. When no single and domin
Page 17 and 18: though the atmosphere has already b
Page 19 and 20: 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 and 72:
CHAPTER 6 REFRENCES
Page 73 and 74:
12. O¨. Ercan Ataer, “An approxi
show all

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

Create successful ePaper yourself

Delete template?

Save as template?