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9/12/2014 1 UNSTEADY HEAT CONDUCTION IN SOLIDS WITH NEGLIGIBLE SURFACE RESISTANCE UNSTEADY HEAT CONDUCTION IN SOLIDS WITH NEGLIGIBLE SURFACE RESISTANCE L The controlling differential equation is Let Differential equation becomes Assuming a product solution

Unsteady Heat Transfer

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Aerospace Engineering fundamentals

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Page 1: Unsteady Heat Transfer

9/12/2014

1

UNSTEADY HEAT CONDUCTION IN SOLIDS WITH NEGLIGIBLE SURFACE RESISTANCEUNSTEADY HEAT CONDUCTION IN SOLIDS WITH NEGLIGIBLE SURFACE RESISTANCE

L

The controlling differential equation is

Let

Differential equation becomes

Assuming a product solution

Page 2: Unsteady Heat Transfer

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Page 3: Unsteady Heat Transfer

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UNSTEADY HEAT CONDUCTION IN SOLIDS WITH CONSIDERABLE CONDUCTION & UNSTEADY HEAT CONDUCTION IN SOLIDS WITH CONSIDERABLE CONDUCTION & SURFACE RESISTANCESURFACE RESISTANCE

Let

Page 4: Unsteady Heat Transfer

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Solution is of the form

Page 5: Unsteady Heat Transfer

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Page 6: Unsteady Heat Transfer

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HEISLER CHARTSHEISLER CHARTS

Midplane temperature

Temperature distribution

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Heat transfer (from H. Gröber et al.)

Cylinder

Centerline temperature

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