Bidirectional flow of MHD nanofluid with Hall current and Cattaneo-Christove heat flux toward the stretching surface

Abstract

Vacuum pump oil (VPO) is used as a lubricant in pumps of different machines. The rate of heat transport is a fundamental requirement of all phenomena. To enhance the rate of heat transmission and reduce the amount of energy consumed as a result of high temperatures. For this reason, the vacuum pump oil (VPO) is taken as a base fluid and Fe3O4 is the nanoparticles suspended in VPO. That’s why, the present study inspected the consequence of Hall current, Joule heating effect and variable thickness on these three-dimensional magnetohydrodynamics bidirectional flow of nanoliquid past on a stretchable sheet. Further, the Cattaneo-Christove heat flux and radiation impacts are also considered. The VPO−Fe3O4 nanofluid model is composed of momentum equations in x−direction, y−direction and temperature equations. The leading higher-order non-linear PDEs of the current study have been changed into non-linear ODEs with the implementation of appropriate similarity transformations. The procedure of the homotopy analysis method is hired on the resulting higher-order non-linear ODEs along with boundary conditions for the analytical solution. The significance of distinct flow parameters on the velocities in x−direction, y−direction and temperature profiles of the nanofluid have been encountered and briefly explained in a graphical form. Some important findings of the present modelling are that with the increment of nanoparticles volume fraction the nanofluid velocities in x−direction and y−direction are increased. It is also detected that higher estimations of magnetic field parameter, Prandtl number and thermal relaxation time parameter declined the nanofluid temperature. During this examination of the model, it is found that the Fe3O4-Vacuum pump oil (VPO) nanofluid enhanced the rate of heat transfer. Also, the vacuum pump oil (VPO) has many industrial and engineering applications. The current study will help to improve the rate of heat transmission by taking this into account due to which working machines will do better performance and the loss of useful energy will be decayed. Lastly, the skin friction coefficient and Nusselt number are also illustrated in a tabular form. Some major findings according to the numerical computation of the problem are that the enhancing estimations of magnetic parameter, nanoparticles volume fraction and wall thickness parameter augmented the skin friction coefficient in x−direction and Nusselt number. The reduction in skin friction coefficient of the nanofluid in y−direction is examined for Hall current and shape parameter.

Homotopic solution of the chemically reactive magnetohydrodynamic flow of a hybrid nanofluid over a rotating disk with Brownian motion and thermophoresis effects

“…The Maxwell nanofluid flow past a heated stretching sheet was scrutinized by Rasool et al [6]. Ramzan et al [7] examined the hybrid nanoliquid flow past a bidirectional extending sheet with Joule heating effect. In this analysis, they discovered that the nanofluid temperature is raised for the greater volume fraction of nanoparticles.…”

Radiative heat transport of Cattaneo‐Christov double diffusive Casson nanofluid flow between two rotating disks with Hall current and activation energy

“…Ramzan et al [34] studied magnetohydrodynamic bioconvective Williamson Ferro-nanofluid flow in a non-Darcy porous medium under the influence of magnetic dipole characteristics and activation energy. Ramzan et al [35] analyzed the bidirectional MHD Nanofluid flow past a stretching surface considering the influences of Hall current, thermal radiation, and the Cattaneo-Christove heat flux model. Ramzan et al [36] deliberated the Burger nanofluid flow past a stretching cylinder under the influences of convective heating and zero mass flux conditions.…”

Fully developed opposing mixed convection of a Jeffery tri‐hybrid nanofluid between two parallel inclined plates subjected to wall‐slip condition

“…Many investigations have been conducted on the behaviors of nanofluids combined the base fluids and single type of nanoparticles. Such nanofluids have exhibited a very promising applications in cooling and vehicle thermal management, microelectronics and improvement, and reduction in temperature and microchip technology [5][6][7][8][9]. In particular, Timofeeva et al [10] noticed that the viscosity of nanofluids varies with particle shapes and surface properties.…”