ABSTRACT
This chapter considers various steady-state heat conduction problems. In such problems, the temperature distribution depends only on the space coordinates. The chapter explains lumped-heat-capacity systems where the elimination of the spatial variation of temperature considerably simplifies the problems. It also considers some representative nonperiodic heating and/or cooling problems and obtains solutions by the method of separation of variables. The chapter explores a periodic problem and introduces the concept of complex temperature. The lumped-heat-capacity method of analysis may be used if the authors can justify the assumption of uniform bar temperature at any time during the cooling process. In nonperiodic transient problems, the temperature at any point within the body under consideration changes as some nonlinear function of time. With periodic transient cases, the temperature undergoes a periodic change that is either regular or irregular, but is always cyclic.
