Magnetohydrodynamic flow of Williamson fluid in a microchannel for both horizontal and inclined loci with wall shear properties

Abstract

This study reports the flow of Williamson fluid in a microchannel, considering the effect of thermal radiation, heat source, slip regime, and convective boundary. The physical phenomenon is demonstrated by employing the Williamson model. The mathematical expressions are made dimensionless by using nondimensional quantities. The numerical approach called Runge–Kutta–Fehlberg scheme is hired to get the solution. The upshots of the pertinent flow parameter on physical features are visualized through graphs. It is established that the augmentation of Nusselt number has been achieved by increasing Weissenberg number and Reynolds number. In addition to this, it is emphasized that the reduction in the wall velocity gradient is obtained for a higher Weissenberg number.

Mixed Convection of Williamson Fluid along an Inclined Porous Microchannel with Chemical Reaction by taking Non-Constant Thermal Conductivity: An Entropy Analysis

“…The comparison of numerical values of velocity with the published work of Gireesha et al (18) and Makinde and Eegunjobi (27) .…”

“…The comparison ofnumerical values of velocity with the published work of Gireesha et al (18) and Makinde and Eegunjobi (27) y Makinde and Eegunjobi (27) Gireesha et al (18) Present study 0 0.0000000 0.0000000 0.000000 0.2 0.0711487 0.0711487 0.071149 0.4 0.0963903 0.1137694 0.113770 0.6 0.1215460 0.1215460 0.121550 0.8 0.0867637 0.0867637 0.086764 1 0.0000000 0.0000000 0.000000 the display of the numerical solution obtained for the velocity for the limiting case. The obtained results are in good agreement with theexisting studies Gireesha et al (18) and Makinde and Eegunjobi (27) . The result is obtained by maintaining We= λ C = λ =M=σ =ψ=0.…”

“…• The flow is carried out through the porous medium with the influence of magnetic field. Under the above mentioned conditions the momentum, temperature distribution and chemical reaction equations in dimensional form takes the form as below (5,18) :…”

“…A theoretical analysis of the Casson fluid flow along an inclined micro-annular channel is done by Idowu et al (17) . Gireesha et al (18) constructed a model which includes both inclined and horizontal convection of Williamson nano fluid and analysed the flow. Mohd et al (19) considered the flow of ferro fluid along a boundary layer and reported that Fe3O4-H2O has lower heat transfer rate than the Fe3O4-kerosene ferrofluid.…”

Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions

“…In Williamson fluid flow problem, researchers [33][34][35][36][37][38][39] used different similarity transformations to change governing nonlinear partial differential equations into ordinary differential equations. e literature survey shows that the Williamson fluid model is more effective than other models for studying pseudoplastic fluid, but the researcher studied locally similar Williamson fluid parameter.…”