Numerical simulations reveal vorticity behavior in a buoyancy driven cavity, suggesting temperature-dependent viscosity impacts fluid dynamics.
The stream function-vorticity formulation of the Navier-Stokes equations is solved numerically for a buoyancy driven driven cavity. The method used consists of finite difference approximations of the vorticity transport equation which has been modified to accomodate viscosity gradients in the vorticity dissipation term. Three cases are investigated and each subjected to three levels of grid refinement.
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Raymond Horstman (1995) studied this question.
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