Insight into the boundary layer flow of non-Newtonian Eyring-Powell fluid due to catalytic surface reaction on an upper horizontal surface of a paraboloid of revolution

Abstract

Bonnet of a car, the upper surface of a pointed bullet and upper surface of the pointed part of an aircraft are typical examples of an upper horizontal surface of a paraboloid of revolution (uhspr). However, the flow of some fluids past these kinds of objects fit the description of Eyring-Powell fluid flow. Theoretical investigation of two-dimensional Eyring-Powell fluid flow over such object which is neither cone/wedge nor horizontal/vertical is investigated. It is assumed that the flow of Eyring-Powell fluid is induced by catalytic surface reaction and stretching fluid layers at the free stream. The numerical solutions of the governing equation are obtained using classical fourth order Runge-Kutta scheme together with shooting techniques. The impacts of the most important parameters on the flow are presented. It is concluded that the maximum velocity of the flow is ascertained when the flow is characterized as Newtonian fluid flow. On the surface of uhspr, rapid increase and suppress in the temperature distribution and concentration with an increase in the magnitude of one of the Eyring-Powell fluid parameters are guaranteed. A significant fall in the local skin friction coefficients is ascertained due to rise in the magnitude of thickness parameter.