In this Equation, the density in the buoyancy force term conforms to the Boussinesq approximation, which can be considered to be a function of the temperature.
I have this information but i dont know I should use piecewise linear or another method for Boussinesq approximation.
Keyvan Nateghi If i understand your question correctly, you aim is to model natural convection using Boussinesq model avaliable in ANSYS Fluent. If that is the case, its constant density formulation and do provide the operating density equal to the one for lowest temperature you expect for the simulations.
Boussinesq approximation converts the delta density to delta temperature with constant density and beta value (you have this value). This approach works well for small change in density.
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