Improved solutions to a micropolar fluid driven by a continuous porous plate

Abstract

The theory of micropolar fluids was formulated by Eringen. A similarity solution is used to investigate the flow of such a fluid driven by a continuous porous plate. Continuous surfaces are surfaces such as polymer sheets or filaments continuously drawn from a dye. Within the framework of the boundary‐layer theory, similarity transformation is used for the specific case when the wall velocity varies linearly with component. A physical characteristic of the fluid is used as a perturbation parameter to obtain a first estimate solution. Using a perturbation technique, analytical solutions for large transfer rates are presented. Then, a quasilinearization is used to obtain a complete solution. Good agreement is found between solutions obtained with these different methods and with the numerical data in Hassanien and Gorla (1990).

Citation

Desseaux, A. and Bellalij, M. (1999), "Improved solutions to a micropolar fluid driven by a continuous porous plate", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 9 No. 7, pp. 730-742. https://doi.org/10.1108/09615539910291109