Analytical and Numerical Solutions for Torsional Flow between Coaxial Discs with Heat Transfer

摘要: We consider nonisothermal torsional flow between two coaxial parallel plates with heat transfer at the upper rotating plate, constant temperature on lower stationary and no loss fluid-air interface. Viscous heating is modelled by a Nahme law exponential dependence temperature. Due to highly nonlinear nature of governing equations an exact solution not feasible. Therefore we solve problem using both numerical perturbation methods. Specifically, analytical solutions are obtained asymptotic expansions based aspect ratio Nahme–Griffith number, measure viscous heating, as parameters. The finite element method. Good agreement found in appropriate parameter range. In viscometric applications torque exerted fluid plate important quantity. For isothermal dimensionless can easily be calculate...