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HEAT CONDUCTION EQUATION H

heat CONDUCTIONEQUATIONHeat transfer has directionas well as rate of heat conduc-tion in a specified direction is proportional to the temperature gradient,which is the rate of change in temperature with distance in that CONDUCTION in a medium, in general, is three-dimensional and time depen-dent, and the temperature in a medium varies with position as well as time, thatis,T T(x,y,z,t). heat CONDUCTION in a medium is said to be steadywhen thetemperature does not vary with time, and unsteadyor transientwhen it CONDUCTION in a medium is said to be one-dimensionalwhen CONDUCTION issignificant in one dimension only and negligible in the other two primary di-mensions,two-dimensionalwhen CONDUCTION in the third dimension is negligi-ble, and three-dimensionalwhen CONDUCTION in all dimensions is start this chapter with a description of steady, unsteady, and multidimen-sional heat CONDUCTION . Then we derive the differential EQUATION that governsheat CONDUCTION in a large plane wall, a long cylinder, and a sphere, and gener-alize the results to three-dimensional cases in rectangular, cylindrical, and spher-ical coordinates.

solids with temperature-dependent thermal conductivity. cengel_ch02.qxd 1/5/10 10:45 AM Page 63. 64 HEAT CONDUCTION EQUATION ... with time or time dependence. Therefore, the temperature or heat flux remains unchanged with time during steady heat transfer through a …

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