Analytical/Numerical Study of Heat Transfer across a Single Infinite Longitudinal Row of Circular Cylinders

摘要

An integral approach to boundary layer analysis is employed to investigate the effects of the longitudinal pitch ratio on heat transfer from a longitudinal row of circular cylinders immersed in an infinite medium. The momentum equation is solved using the modified Von Karman-Pohlhausen method, which employs a fourth-order velocity profile within the hydrodynamic boundary layer. The potential flow velocity is obtained by complex potential theory outside the boundary layer. A third-order temperature profile is utilized in the thermal boundary layer to solve the energy integral equation for the isothermal boundary condition. Closed-form solution is obtained for the heat-transfer coefficient for a longitudinal row of circular cylinders immersed in an infinite medium. In the second part of this research activity, a numerical model based on computational fluid dynamics (CFD) is developed in order to validate the closed-form solution. The proposed numerical model has been successfully implemented for simulating the flow field over a longitudinal row of circular cylinders. Numerical simulations have been carried out for various values of the free-stream Reynolds number and longitudinal pitch ratio. Results obtained from the analytical and numerical models have been found to be in good agreement.