Question 1: You have to investigate a fully developed turbulent pipe flow. In the system, there are following dimensiona

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Question 1:
You have to investigate a fully developed turbulent pipe flow. In the system, there are following dimensional parameters. Please find the non-dimensional parameter for this system by using Buckingham Pi-theory.
Fluid density ρ, fluid dynamical viscosity μ, thermal conductivity λ, thermal capacity cp, flow velocity u, temperature difference ΔT, pipe diameter d
Question 2:
There is another problem with natural convection. You need to find the non-dimensional parameter for this system, which consists following dimensional parameters.
Fluid density ρ, thermal conductivity λ, fluid viscosity μ, thermal capacity cp, temperature difference ΔT, product of gravity acceleration and thermal expansion coefficient gβ
Dr. Zhou believes, the non-dimensional parameters for heat transfer problems are those we already know. Please give the names of the parameter you have find.