General heat conduction equation for isotropic solid - Heat Transfer

Q.  What is the general heat conduction equation which gives the temperature distribution and conduction heat flow in an isotropic solid?
Where,
q̇ = rate of heat generation
k = thermal conductivity
α = (k/ρc) thermal diffusivity
ρ = density of the element
c = specific heat of the element
- Published on 12 Aug 15

a. (∂T/∂x2) + (∂T/∂y2) + (∂T/∂z2) = (∂T/∂t)
b. (∂T/∂x2) + (∂T/∂y2) + (∂T/∂z2) = (1/α)(∂T/∂t)
c. (∂T/∂x2) + (∂T/∂y2) + (∂T/∂z2) + (q̇/k) = (∂T/∂t)
d. (∂T/∂x2) + (∂T/∂y2) + (∂T/∂z2) + (q̇/k) = (1/α)(∂T/∂t)

ANSWER: (∂T/∂x2) + (∂T/∂y2) + (∂T/∂z2) + (q̇/k) = (1/α)(∂T/∂t)

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