The full 3-D unsteady heat-diffusion equation (with internal heat gene…

Question

The full 3-D unsteady heat-diffusion equation (with internal heat generation $\dot{q}$) is:

Accepted Answer

B. {'text': '$\rho c_p \partial T/\partial t = k\nabla^2 T + \dot{q}$', 'label': 'B'}

General heat-diffusion: $ho c_p \partial T/\partial t = k 
abla^2 T + \dot{q}$. Requires SIX boundary conditions (two per spatial dimension) and ONE initial condition for the transient response.

Answer

{'text': '$\nabla T = 0$', 'label': 'A'}

Answer

{'text': '$\partial T/\partial t = -k\nabla T$', 'label': 'C'}

Answer

{'text': '$T = e^{-t}$', 'label': 'D'}