Fluid Flow Around and Heat Transfer From Elliptical Cylinders: Analytical Approach (original) (raw)

2005, Journal of Thermophysics and Heat Transfer

An integral method of boundary-layer analysis is employed to derive closed-form expressions for the calculation of total drag and average heat transfer for flow across an elliptical cylinder under isothermal and isoflux thermal boundary conditions. The Von Kármán-Pohlhausen integral method is used to solve the momentum and energy equations for both thermal boundary conditions. A fourth-order velocity profile in the hydrodynamic boundary layer and a third-order temperature profile in the thermal boundary layer are used. The present results are in good agreement with existing experimental/numerical data and, in the limiting cases, can be used for circular cylinders and finite plates.