Dynamic processes of quartic autocatalysis chemical reaction in Williamson nanofluid flow over a parabolic surface

Studying the dynamic processes of quartic autocatalysis chemical reactions in Williamson nanofluid flow over a parabolic surface is significant for optimizing and enhancing the efficiency of industrial and engineering systems involving complex fluid dynamics and chemical reactions. The investigation of the type of flow channel is very important. In the present problem, the motion is investigated on an upper horizontal surface of a paraboloid of revolution. The analysis is performed about the Williamson nanofluid flow with Cattaneo–Christov (C–C) heat flux, quartic autocatalysis chemical reaction and gyrotactic microorganisms motion past an upper horizontal surface of a paraboloid of revolution (uhspr). Similarity transformations are applied to get the non-dimensional equations in differential form. Homotopy Analysis Method (HAM) is operated for computing the solution. The solution is processed to obtain the results which have been shown through the graphs which note the effects of existing parameters on profiles. The computed results have a nice agreement with the published results. The investigations are about the upper horizontal surface of a paraboloid of revolution which has leading role in science, aerodynamics like surface of a rocket, bonnet of a car and pointed surface of a vehicle and airplane.