Insight into the Dynamics of Oldroyd-B Fluid Over an Upper Horizontal Surface of a Paraboloid of Revolution Subject to Chemical Reaction Dependent on the First-Order Activation Energy

In this study, the problem of two-dimensional non-Newtonian Oldroyd-B fluid flow over the upper horizontal paraboloid surface (UHPS) is investigated. The shape of a submarine, the bonnet of a car, the shape of the jet plane, and the shape of the upper pointed bullet are some daily life examples of the paraboloid surface. At a free stream, the Oldroyd-B fluid flow over UHPS is created by the reaction of the catalytic surface and the stretching between fluid layers. With the help of appropriate similarity parameters, the determining nonlinear coupled partial differential equations (PDE’s) are reduced into nonlinear coupled ordinary differential equations (ODE’s). The numerical solution of governing ODE’s is obtained by using the Runge–Kutta Fehlberg method associated with the shooting technique through MATLAB software. The numerical results are achieved for the velocity field, concentration, and temperature fields by varying different physical parameters like thickness parameter, reaction consumption parameter, fluid’s parameters, and velocity power index parameter. The obtained results are investigated numerically and graphically. The velocity field of fluid flow is a rising function of the thickness parameter. The temperature field is increasing with an extension in the quantity of the velocity index parameter. The concentration field is a growing function of the thickness parameter. The coefficient of local skin friction decreases due to the increment of the thickness parameter of the paraboloid surface.