Unsteady Heat Transfer

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Aerospace Engineering fundamentals

Transcript of Unsteady Heat Transfer

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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

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

Let

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Solution is of the form

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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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