Series solution of unsteady MHD oblique stagnation point flow of copper-water nanofluid flow towards Riga plate

Heliyon. 2020 Oct 12;6(10):e04689. doi: 10.1016/j.heliyon.2020.e04689. eCollection 2020 Oct.

Abstract

This article concentrates on the non-Newtonian fluid flow over the oscillating surface. The rate of heat conduction of the fluid is enhanced by taking nanofluids in it. The two-phase nanofluid flow model is revealed. The flow is explored in the existence of oblique stagnation point flow. The analysis is incorporated for the Riga plate in the existence of an oblique stagnation point. Riga plate is well-known as an electromagnetic actuator contains permanent magnets and a spanwise aligned array of alternating electrodes attached on a plane surface. The dimensional equations satisfying the stated assumptions of the fluid flow are presented utilizing the Navier-Stokes equation. Fourier law is incorporated in the evaluation of heat flux. The analysis is examined in the fixed frame of reference. The obtained partial differential equation will be critically examined suitable similarity transformation will be chosen to convert these flow developed equations into higher non-linear ordinary differential equations (ODE) and these equations of motion are tackled by mathematical techniques like bvp4c method in Maple. From this study, it is determined that due to the effect of the Riga parameter the velocity field enhances, and also due to the effects of Casson parameter the velocity field increases. The effect of immerging of parameters is mentioned by tables and graphs. Moreover, the flow behavior is also confirmed by streamlines. The Casson fluid parameter makes to get faster the fluid velocity. The system heats up by the impact of Joule heating and dissipation.

Keywords: Fixed frame; Mechanical engineering; Non-Newtonian nanofluid flow; Riga plate; Series solution; Two phase flow model; Vacillating plate.

Publication types

  • Review