Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid

Abstract

In this paper, effects of variable viscosity with heat transfer on solid particle motion of dusty Jeffrey fluid model through a planar channel has been examined. The governing flow problem for fluid phase and dusty phase is formulated with the help of momentum and energy equation. The resulting coupled ordinary differential equations have been solved analytically and closed form solutions are presented. The influence of all the physical parameters are sketched for velocity profile, pressure rise and temperature profile. Numerical computation is used to evaluate the expression for pressure rise. The present analysis is also presented for Newtonian fluid by taking λ 1 → 0 as a special case of our study. It is found that due to the influence of variable viscosity, the fluid velocity changes in the center of the channel and shows opposite behavior near the walls. It is also found that temperature profile increases for larger values of Prandtl number (Pr) and Eckert number (Ec).

Heat transfer analysis in magnetohydrodynamic flow of solid particles in non-Newtonian Ree-Eyring fluid due to peristaltic wave in a channel

“…According to the best of author's knowledge, no such attempt has been made on solid particle-fluid of dusty MHD Ree-Eyring fluid under the effects of heat transfer. Some more pertinent studies on particlefluid with peristaltic flow can found in [23][24][25][26][27][28].…”

Heat transfer and inclined magnetic field analysis on peristaltically induced motion of small particles

“…Ellahi et al [13] examined the combined effects of heat and mass transfer on peristaltic motion of viscous fluid through a non-uniform rectangular duct. Few more data on the current theory are available in [14][15][16].…”

MHD free convection in a vertical slit micro-channel with super-hydrophobic slip and temperature jump: non-linear Boussinesq approximation approach

“…Jha and Gwandu [16] extended the work of Wang and Ng [15] by considering electrically conducting fluid in the presence of transverse magnetic field. Bhatti and Zeeshan [17] analysed the hydrodynamics and heat transfer of dust-particle-containing fluid with variable viscosity in a rectangular horizontal channel. Their major findings include: (1) the velocity profile diminishes as a result of the influence of particle volume fraction (2) the temperature profile is a decreasing function of volume fraction.…”