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STEADY HEAT CONDUCTION

STEADY heat CONDUCTIONIn heat transfer analysis, we are often interested in the rate of heat transferthrough a medium under STEADY conditions and surface temperatures. Suchproblems can be solved easily without involving any differential equationsby the introduction of the thermal resistance conceptin an analogous mannerto electrical circuit problems. In this case, the thermal resistance correspondsto electrical resistance, temperature difference corresponds to voltage, and theheat transfer rate corresponds to electric start this chapter with one-dimensional STEADY heat conductionin aplane wall, a cylinder, and a sphere, and develop relations for thermal resis-tancesin these geometries. We also develop thermal resistance relations forconvection and radiation conditions at the boundaries. We apply this conceptto heat CONDUCTION problems in multilayerplane walls, cylinders, and spheresand generalize it to systems that involve heat transfer in two or three dimen-sions.

For one-dimensional steady heat conduction through the wall, we have T(x). Then Fourier’s law of heat conduction for the wall can be expressed as cond, wall kA (W) (3–2) where the rate of conduction heat transfer cond, wall and the wall area A are Q dT dx Q Q dE wall dt Q Q £ Rate of heat transfer into the wall ≥ £ Rate of heat transfer ...

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