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I have questions regarding boundary conditions (BCs) when the k-e model is used.

1. No-slip wall BC: What are the boundary conditions for the k-e equations here? I read somewhere k is zero at walls. But if either one is zero, then singularity occurs due to the and terms. But obviously the solver doesn't blow up or anything. So what is happening here?

2. Heat flux BC: When I specify a fixed heat flux at a wall boundary, the laminar flux equation is . k_thermal is the conductivity. But since the k-e equation uses a turbulent thermal conductivity in the energy equation, what is k_thermal in this case? For analysis, I need to know at the boundary which is the reason I need the k_thermal.

Thanks a lot in advance for your input and thoughts.