Slot jet impingement on a cylinder

A finite difference scheme was employed to obtain numerical solutions for a slot jet impinging in crossflow on a cylinder. The basis of the method is an algebraic non-orthogonal coordinate transformation which maps the complex fluid domain onto a rectangle. The transformed equations and the entire discretization procedure were documented in an earlier paper which dealt with a general class of problems. Its adaptation to an example of a slot jet impingement on a cylinder is illustrated in this work. Representative results for the Nusselt number are plotted as a function of the Reynolds number with Prandtl number as a parameter. The agreement between the predictions of the present methodology and the experimental results is satisfactory, but there are marked deviations between the present numerical scheme and an alternative computation using the stepped-boundary approximations.