M E 4210 Lecture Notes - Lecture 5: Litre, Thermal Conductivity, Fourier Number
14 Jan 2016
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Document Summary
When the flow of heat is described as transient, it means that the heat transfer in unsteady; i. e. , t/ t 0. In such case, the temperature, t, is a function of the time, t, in addition to any other spatial coordinate; that is, the temperature varies with time and location. For 1-d, transient conduction in the x-direction with constant k and without heat generation, the heat conduction equation is written as. A transient system can be either: at a uniform temperature lumped system with t = t(t) only, at a non-uniform temperature spatial temperature variation is present due to conduction within the body; t = t(x,t). Consider the cooling of a hot metal object in a liquid bath as shown below. In lumped system analysis, the major assuption is: Within the solid object, qcond is very small compared to qconv surrounding the object; in other words, Recall the general energy balance on an object is given by.
