\dfrac{\partial T}{\partial t}=\nabla cdot ( \nabla \lambda T))+ (\nabla \cdot v T)+H, T is the temperature, and H is the heat generation rate( source term). My question is whether H can be negative?
In energy conservation equation, the source term could be either positive or negative. If the magnitude of negative heat source exceeds the heat flow to the system, the temperature of the node will decrease.