alleryStart learning →The full 3-D unsteady heat-diffusion equation (with internal heat generation $\dot{q}$) is:
A$\nabla T = 0$
B$\rho c_p \partial T/\partial t = k\nabla^2 T + \dot{q}$
C$\partial T/\partial t = -k\nabla T$
D$T = e^{-t}$
Answer & Solution
Correct answer: B. $\rho c_p \partial T/\partial t = k\nabla^2 T + \dot{q}$
**General heat-diffusion:** $\rho c_p \partial T/\partial t = k \nabla^2 T + \dot{q}$.
Requires SIX boundary conditions (two per spatial dimension) and ONE initial condition for the transient response.
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