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Heat Transfer: Theory and Problems by K. Mayilsamy, R. Rudramoorthy

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3

Transient Heat Conduction

In the case of transient heat conduction, the thermal boundary conditions are time-dependent. The mathematical model for a transient heat conduction problem includes the temperature distribution within the body and the thermal boundary conditions at the surface of the body.

3.1 LUMPED PARAMETER ANALYSIS

If a body at uniform temperature is suddenly exposed to a different temperature, then the temperature change in the interior of the body depends on the internal resistance to heat transfer and that at its surface. If the resistance at the surface is much greater than that within, then the internal body temperature will be nearly uniform. In transient heat conduction problems this situation can be encountered when the ...

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