Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field

Abstract

Background: This paper explores the impact of thermal radiation on boundary layer flow of dusty hyperbolic tangent fluid over a stretching sheet in the presence of magnetic field. The flow is generated by the action of two equal and opposite. A uniform magnetic field is imposed along the y-axis and the sheet being stretched with the velocity along the x-axis. The number density is assumed to be constant and volume fraction of dust particles is neglected. The fluid and dust particles motions are coupled only through drag and heat transfer between them. Methods: The method of solution involves similarity transformation which reduces the partial differential equations into a non-linear ordinary differential equation. These non-linear ordinary differential equations have been solved by applying Runge-Kutta-Fehlberg forth-fifth order method (RKF45 Method) with help of shooting technique. Results: The velocity and temperature profile for each fluid and dust phase are aforethought to research the influence of assorted flow dominant parameters. The numerical values for skin friction coefficient and Nusselt number are maintained in Tables 3 and 4. The numerical results of a present investigation are compared with previous published results and located to be sensible agreement as shown in Tables 1 and 2. Conclusion: It is scrutinized that, the temperature profile and corresponding boundary layer thickness was depressed by uplifting the Prandtl number. Further, an increase in the thermal boundary layer thickness and decrease in momentum boundary layer thickness was observed for the increasing values of the magnetic parameter.

Unsteady MHD Tangent Hyperbolic Nanofluid Past a Wedge Filled with Gyrotactic Micro-Organism

“…Induced magnetic field is negligible due to the assumption of the small magnetic Reynolds number. Under the above assumptions, the governing equations of the above modeled problem are as follows [40][41][42][43][44][45][46][47][48][49][50]:…”

Non-Newtonian power-law fluids with variable magnetic field and slip conditions

“…Khan et al 29 studied the transfer of mass over chemicalized fourth grade communicate peristaltic transport in a curved channel. Kumar et al 30 determined the results of non-thermal radiation upon boundary layer flow of MHD tangent hyperbolic fluid which is dusty toward a stretching surface. Through a non-linearly stretching sheet with variable thermal conductivity, the flow and heat transfer of power-law fluids was investigated by Yang and Lin.…”

Numerical analysis of unsteady momentum and heat flow of dusty tangent hyperbolic fluid in three dimensions

“…Here we have considered the MHD, effect, joule heating and viscous dissipation with convective boundary conditions. Kumar et al 20 discussed the MhD flow of dusty tangent hyperbolic fluid under the effect of thermal radiations. Historically the front runner of the study of viscous dissipation in natural convection was Gebhart 21 .…”