Open Access

ARTICLE

NEW SIMILARITY SOLUTION OF MICROPOLAR FLUID FLOW PROBLEM OVER AN UHSPR IN THE PRESENCE OF QUARTIC KIND OF AUTOCATALYTIC CHEMICAL REACTION

O. K. Koriko, I. L. Animasaun^*

Department of Mathematical Sciences, Federal University of Technology, Akure, PMB 704, Nigeria

* Corresponding Author: Email: .

Frontiers in Heat and Mass Transfer 2017, 8, 1-13. https://doi.org/10.5098/hmt.8.26

Abstract

The motion of air (i.e fluid) in which tiny particle rotates past a pointed surface of a rocket (as in space science), over a bonnet of a car and past a pointed surface of an aircraft is of important to experts in all these fields. Geometrically, all the domains of fluid flow in all these cases can be referred to as the upper horizontal surface of a paraboloid of revolution (uhspr). Meanwhile, the solution of the corresponding partial differential equation is an open question due to unavailability of suitable similarity variable to non-dimensionalize the angular momentum equation. This article unravels the nature of skin friction coefficient, heat transfer rate, velocity, temperature, concentration of homogeneous bulk fluid and heterogeneous catalyst which exists on a stretchable surface which is neither a perfect horizontal/vertical nor inclined/cone. Theory of similarity solution was adopted to obtain the similarity variable suitable to scale the proposed angular momentum equation. These equations along with the boundary conditions are solved numerically using Runge-Kutta technique along with shooting method. The similarity variable successfully nondimensionalized and parameterized the angular momentum for boundary layer flow past uhspr. Temperature dependent dynamic viscosity parameter increases vertical velocity near a free stream but reduces micro-rotation near uhspr. Effect of thermal radiation parameter on temperature profile and heat transfer rate can be greatly influenced by thickness parameter.

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