(Difference between revisions)
 Revision as of 21:53, 10 December 2009 (view source)← Older edit Revision as of 06:49, 3 July 2010 (view source)Newer edit → Line 1: Line 1: - Our discussions thus far have been limited to the case that the temperature is not a function of time. For many applications, it is necessary to consider the variation of temperature with time. In this case, the energy equation for classical heat conduction, eq. $\rho {c_p}\frac{{\partial T}}{{\partial t}} = \nabla \cdot (k\nabla T) + q'''$ from [[Basics of heat conduction]], should be solved. If the thermal conductivity is independent from the temperature, the energy equation is reduced to eq. $\frac{1}{\alpha }\frac{{\partial T}}{{\partial t}} = {\nabla ^2}T + \frac{{q'''}}{k}$ from [[Basics of heat conduction]]. Analysis of transient heat conduction using lumped (zero-dimensional), one-dimensional, and multidimensional models will be presented in this section. + *[[Lumped analysis]] + *[[One-dimensional transient heat conduction in finite slab|finite slabs]] + *[[One-dimensional transient heat conduction in cylinder|cylinders]] + *[[One-dimensional transient heat conduction in sphere|spheres]] + *[[One-dimensional transient heat conduction in semi-infinite body|semi-infinite body]] + *[[Multidimensional transient heat conduction|multidimensional conduction]] ==References== ==References==