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Analysis of the Error on Two Term Approximation

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3 29

3.1 29

3.2 31

3.2.1 31

3.2.2 33

3.2.2.1 33

3.2.2.2 35

3.2.2.3 37

4 38

4.1 38

4.1.1 41

4.1.2 43

4.1.3 45

4.2 47

4.3 60

4.3.1 65

5 69

70 71 72 73 74 APPEDICES

Analysis of the Error for Solid Sphere . . . . Correction Factor . . . .. . . .

Two Term Approximation Solution . . . . . . Analysis of the Error on Two Term Approximation . . . .

. . . . COCLUSIO

REFERECES

Analysis of the Error for Long Cylinder . . . . . .

EXACT AD APPROACH SOLUTIOS

Exact Solution of One Dimensional Transient Conduction Problem . . . Approximate Analytical and Graphical Solutions . . . . . . . One Term Approximation Solution . . . .

. . . . .

Transient Dimensionless Temperature Charts . . . . . . . Large Plane Wall Charts . . . .

. . .

Long Cylinder Charts . . . . . . .

Solid Sphere Charts . . . . . . .

RESULTS AD DISCUSSIO

Analysis of the Error on The One Term Approximation . . . . . . . Analysis of the Error for Plane Wall . . . .

.

APPENDIX A Findin of λn ın the exact solution for plane wall APPENDIX B Findin of λn ın the exact solution for long cylinder APPENDIX C Findin of λn ın the exact solution for solid sphere

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