Study of heat-transfer on the surface of a circular cylinder in flow using an immersed-boundary method

An immersed-boundary method, previously developed for flow-field simulation, is extended to study heat-transfer problems of flow over a circular cylinder. The Dirichlet-type isothermal temperature boundary conditions and the Neumann-type iso-heat-flux boundary conditions are both implemented. To verify the accuracy of the simulation method, L2-norm are computed to test the order of accuracy of the scheme. Numerical solutions are then further validated by comparing simulated temperature distributions and local convective-heat-transfer coefficients in flow over a stationary circular cylinder with data in the literature. Comparisons are made at different Reynolds-number flows and under different types of temperature boundary conditions. Finally, the effect of heat-transfer enhancement for flow over a transversely oscillating cylinder is investigated.