Finite-difference solution of steady two-dimensional boundary-layer equations with heat transfer

Citation

Mullainathan, M. (1980) Finite-difference solution of steady two-dimensional boundary-layer equations with heat transfer. Engineer's thesis, California Institute of Technology. doi:10.7907/rawg-2g03. https://resolver.caltech.edu/CaltechETD:etd-10102006-134715

Abstract

The incompressible boundary layer equations in two dimensions, with heat transfer have been solved numerically using three different methods and the results are compared. All three methods solve these equations when the pressure distribution is prescribed on the boundary, suction or blowing at the wall and the temperature distribution at the wall. The first method is the second-order Keller's box scheme and the second method is the fourth-order scheme using the Euler-Maclurin formula to replace an integral. The proposed third scheme is also a fourth-order scheme which uses a four point formula to replace an integral. All these schemes use a variable mesh in both coordinates. When the truncation error is specified the first scheme chooses an optimum spacing in the direction normal to the wall.

Thesis Files