This research article investigates the impacts of magnetohydrodynamics (MHD), nonlinear thermal radiation, Darcy‐Forchheimer porous medium, viscous dissipation, first‐order velocity slip, and convective boundary condition on the entropy generation optimization in flow of non‐Newtonian fluid (Williamson fluid) towards a flat and stretchable surface. A general entropy equation is derived for thermal heat irreversibility, porosity irreversibility, Joule heating irreversibility, and fluid friction irreversibility. The bvp4c (built‐in‐shooting) technique is utilized to solve the governing equations for the entropy generation. Our obtained results highlight that enhancement in the thermal radiation and magnetic causes an abrupt change in the entropy generation rate. Moreover, the heat transfer rate and velocity gradient (skin friction) are calculated numerically subject to pertinent parameter, and the results are displayed in tabular form.
Soret and Dufour effects on MHD flow of Williamson fluid between two rotating disks are examined. Impacts of stratification, viscous dissipation and activation energy are also considered. Bejan number and entropy generation for stratified flow is discussed. The governing PDE's are converted into ODE's by using Von Kármán transformations. Convergent solution of complicated ODE's is found by homotopic procedure. The results of physical quantities are discussed through plots and numerical values. It is noted that axial and radial velocities are more for greater Weissenberg number. Temperature and concentration profiles are decreasing functions of thermal and solutal stratification parameters respectively. Entropy and Bejan number show the opposite trends for higher Weissenberg number and Brinkman number. .pk (S. Qayyum)Corresponding author Tel.: +92 51 90642172. It is known fact that mass transfer in mixture exists in view of species concentration difference. These species of different concentration transport themselves in a mixture from a higher concentration region to lower concentration region. Moreover, activation energy is minimum quantity of energy which must possessed by reactants before occurrence of specified chemical reaction. The process followed by chemical reaction with activation energy to mass transfer is usually used in food processing, geothermal reservoirs, chemical engineering etc. Convected binary mixture flow in a porous space with activation energy is investigated by Bestman
.Unsteady radiative flow in presence of chemical reaction is discussed by Makinde et al. 19 . Unsteady rotating flow with activation energy and chemical reaction is described by Awad et al.
This article examines the performance of squeeze film properties in various finite plates lubricated with couple-stress fluid and subjected to a transverse magnetic field and surface roughness. On the basis of Stokes couple-stress fluid theory and Christensen's stochastic model are used to derive a modified Reynolds equation. The squeeze film pressure and workload were calculated using the resultant equation with boundary conditions. The study found that the bearing systems with surface roughness performed better than those with a smooth surface when a magnetic field was present. Additionally, the presence of viscosity variation resulted in a significant increase in the workload of finite plates compared to nonviscosity variation cases. The study also revealed that the load was reduced in the presence of porosity compared to the non-porous case.
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