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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.

current flow I, expressed as I (3–6) where R e L/s e A is the electric resistanceand V 1 V 2 is the voltage dif-ference across the resistance (s e is the electrical conductivity). Thus, the rate of heat transferthrough a layer corresponds to the electric current,the thermal resistancecorresponds to electrical resistance,and the temperature

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