Showing papers by "Oluwole Daniel Makinde published in 2000"
TL;DR: In this article, the steady flow of a viscous incompressible fluid in a diverging symmetrical channel is examined and the solutions are expanded into Taylor series with respect to the corresponding Reynolds number and the bifurcation study is perfomed.
Abstract: The two-dimensional steady flow of a viscous incompressible fluid in a diverging symmetrical channel is examined. The paper exploits a new series summation and improvement technique (i.e. Drazin and Tourigny, 1996). The solutions are expanded into Taylor series with respect to the corresponding Reynolds number and the bifurcation study is perfomed. Parameter ranges for the Reynolds number, where no, one or two solutions of the given type exist, are computed. Quaestiones Mathematicae 23(2000), 45–57
6 citations
TL;DR: In this paper, a fluid with viscosity which depends on temperature and concentration is placed between two infinite parallel plates moving relative to each other with constant velocity, and the fluid equations of continuity, momentum, energy and concentration are obtained and solved analytically.
Abstract: A fluid with viscosity which depends on temperature and concentration is placed between two infinite parallel plates moving relative to each other with constant velocity. On the basis of certain simplifying assumptions, the fluid equations of continuity, momentum, energy and concentration are obtained and solved analytically. A non-linear integro-differential equation is derived which governs the fluid velocity component parallel to the walls and a parameter perturbation technique is suggested and utilized for its solution. Using the Padé approximants technique, the series summation and improvement is performed. The effect of viscosity variation due to variation in temperature and concentration on the fluid flow is discussed quantitatively. Quaestiones Mathematicae 23(2000), 59–66
2 citations