# Solutions to the Equations Governing Convective Flow of Two Viscous Immiscible Dusty and Pure Fluids in a Vertical Corrugated Wall and a Parallel Flat Wall

## Abstract

This paper presents the solutions to the equations governing convective flow and heat transfer of two viscous immiscible dusty and pure fluids confined between a vertical corrugated wall and a parallel flat wall. The nonlinear partial differential equations governing the flow have been reduced to nonlinear ordinary differential equations using the regular perturbation method. The transformed nonlinear ordinary differential equations have been solved numerically using the linear approximation theorem. The effects of the governing parameters on the velocity and temperature fields for the two fluids and the dust particles have been obtained and graphically represented using Matlab.

Keywords:
Immiscible fluids, dusty fluid, perturbation method, corrugated wall.

## Article Details

How to Cite
Musau, W. K., Kimathi, G., & Songa, C. (2019). Solutions to the Equations Governing Convective Flow of Two Viscous Immiscible Dusty and Pure Fluids in a Vertical Corrugated Wall and a Parallel Flat Wall. Asian Journal of Probability and Statistics, 4(3), 1-12. https://doi.org/10.9734/ajpas/2019/v4i330117
Section
Original Research Article

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