Darcy–Forchheimer MHD Couple Stress 3D Nanofluid over an Exponentially Stretching Sheet through Cattaneo–Christov Convective Heat Flux with Zero Nanoparticles Mass Flux Conditions

Abstract

In the last decade, nanoparticles have provided numerous challenges in the field of science. The nanoparticles suspended in various base fluids can transform the flow of fluids and heat transfer characteristics. In this research work, the mathematical model is offered to present the 3D magnetohydrodynamics Darcy–Forchheimer couple stress nanofluid flow over an exponentially stretching sheet. Joule heating and viscous dissipation impacts are also discussed in this mathematical model. To examine the relaxation properties, the proposed model of Cattaneo–Christov is supposed. For the first time, the influence of temperature exponent is scrutinized via this research article. The designed system of partial differential equations (PDE’s) is transformed to set of ordinary differential equations (ODE’s) by using similarity transformations. The problem is solved analytically via homotopy analysis technique. Effects of dimensionless couple stress, magnetic field, ratio of rates, porosity, and coefficient of inertia parameters on the fluid flow in x- and y-directions have been examined in this work. The augmented ratio of rates parameter upsurges the velocity profile in the x-direction. The augmented magnetic field, porosity parameter, coefficient of inertia, and couple stress parameter diminishes the velocity field along the x-direction. The augmented magnetic field, porosity parameter, coefficient of inertia, ratio of rates parameter, and couple stress parameter reduces the velocity field along the y-axis. The influences of time relaxation, Prandtl number, and temperature exponent on temperature profile are also discussed. Additionally, the influences of thermophoresis parameter, Schmidt number, Brownian motion parameter, and temperature exponent on fluid concentration are explained in this work. For engineering interests, the impacts of parameters on skin friction and Nusselt number are accessible through tables.

Comparative analysis of magnetized partially ionized copper, copper oxide–water and kerosene oil nanofluid flow with Cattaneo–Christov heat flux

“…Shah et al 23 discussed the micropolar Casson ferrofluid flow with an effective thermal conductivity model and CC heat flux model over a stretching surface. The 3D MHD Darcy-Forchheimer nanofluid through an exponentially stretching sheet with CC heat flux model and zero mass flux conditions of nanoparticles is scrutinized by Ahmed et al 24 . Rasool et al 25 analyzed the CC theory of mass and heat flux within Darcy-Forchheimer porous media through a non-linear stretching surface.…”

“…The 3D MHD Darcy-Forchheimer nanofluid through an exponentially stretching sheet with CC heat flux model and zero mass flux conditions of nanoparticles is scrutinized by Ahmed et al . 24 . Rasool et al .…”

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

“…Asadollahi et al [40] deliberated the phase change of a fluid in a square microchannel. The most relevant and new studied studies can be reads in Ellahi et al [41][42][43], Bhatti et al [44], Ameen et al [45], Vo et al [46], Ahmad et al [47], Sheikholeslami et al [48], Ali et al [49], and Ullah et al [50].…”

Soret and Dufour effects between two rectangular plane walls with heat source/sink

“…To obtain the analytical solution of Equations to , we use HAM and the results obtained from HAM are compared with numerical results obtained by using the parallel shooting method. Many problems in mathematics are complex in nature and to find the exact solution is almost very difficult or even impossible.…”