Anum Shafiq

Effect of Joule heating and thermal radiation in flow of third grade fluid over radiative surface.

This article addresses the boundary layer flow and heat transfer in third grade fluid over an unsteady permeable stretching sheet. The transverse magnetic and electric fields in the momentum equations are considered. Thermal boundary layer equation includes both viscous and Ohmic dissipations. The related nonlinear partial differential system is reduced first into ordinary differential system and then solved for the series solutions. The dependence of velocity and temperature profiles on the various parameters are shown and discussed by sketching graphs. Expressions of skin friction coefficient and local Nusselt number are calculated and analyzed. Numerical values of skin friction coefficient and Nusselt number are tabulated and examined. It is observed that both velocity and temperature increases in presence of electric field. Further the temperature is increased due to the radiation parameter. Thermal boundary layer thickness increases by increasing Eckert number.

Magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks

This paper investigates magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks. The governing partial differential equations are transformed into ordinary differential equations by similarity transformations. The resulting non-linear problem is solved by a homotopy analysis method (HAM). The effects of dimensionless parameters on the radial and axial components of the velocity are illustrated through plots. The skin-friction coefficients at the upper and lower disks are tabulated for various values of the dimensionless physical parameters.

Marangoni mixed convection flow with Joule heating and nonlinear radiation

Marangoni mixed convective flow of Casson fluid in a thermally stratified medium is addressed. Flow analysis has been carried out in presence of inclined magnetic field. Heat transfer analysis is discussed in the presence of viscous dissipation, Joule heating and nonlinear thermal radiation. The governing nonlinear partial differential equations are first converted into ordinary differential systems and then developed the convergent series solutions. Flow pattern with the influence of pertinent parameters namely the magnetic parameter, Casson fluid parameter, temperature ratio parameter, stratification parameter, Prandtl number, Eckert number and radiation parameter is investigated. Expression of local Nusselt number is computed and analyzed. It is found that the Nusselt number decreases by increasing magnetic parameter, temperature ratio parameter, angle of inclination and stratification parameter. Moreover the effect of buoyancy parameter on the velocity distribution is opposite in both the opposing and assisting flow phenomena. Thermal field and associated layer thickness are enhanced for larger radiation parameter.

Radiative Squeezing Flow of Second Grade Fluid with Convective Boundary Conditions

Influence of magnetohydrodynamic (MHD) flow between two parallel disks is considered. Heat transfer analysis is disclosed due to thermal radiation and convective boundary condition. Appropriate transformations are invoked to obtain the ordinary differential system. This system is solved using homotopic approach. Convergence of the obtained solution is discussed. Variations of embedded parameters into the governing problems are graphically discussed. Skin friction coefficient and Nusselt number are numerically computed and analyzed. It is noticed that temperature profile is increasing function of radiation parameter.

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Abstract This work studies the flow of Walters-B fluid over a stretching surface with Newtonian heating. The governing partial differential equations are first simplified through boundary layer approximations and then reduced into ordinary differential equations by using the appropriate substitutions. The resulting problems have been solved for the series solutions by a homotopic approach. Convergence analysis is performed and appropriate values are determined by plotting the so-called ℏ-curves. Graphical results for the dimensionless velocity and temperature are presented and discussed for various physical parameters. In addition, the expressions of skin friction coefficient and the local Nusselt number are presented. The dimensionless expressions of wall shear stress and wall mass flux are analysed graphically and numerically.

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

The present work is focused on behavioral characteristics of gyrotactic microorganisms to describe their role in heat and mass transfer in the presence of magnetohydrodynamic (MHD) forces in Powell-Eyring nanofluids. Implications concerning stretching sheet with respect to velocity, temperature, nanoparticle concentration and motile microorganism density were explored to highlight influential parameters. Aim of utilizing microorganisms was primarily to stabilize the nanoparticle suspension due to bioconvection generated by the combined effects of buoyancy forces and magnetic field. Influence of Newtonian heating was also analyzed by taking into account thermophoretic mechanism and Brownian motion effects to insinuate series solutions mediated by homotopy analysis method (HAM). Mathematical model captured the boundary layer regime that explicitly involved contemporary non linear partial differential equations converted into the ordinary differential equations. To depict nanofluid flow characteristics, pert...

CATTANEO–CHRISTOV HEAT FLUX MODEL FOR SQUEEZED FLOW OF THIRD GRADE FLUID

This paper addresses the squeezed flow of third grade fluid between two parallel disks. Heat transfer in present flow is characterized by Cattaneo–Christov theory. Thermal relaxation time effects on the boundary layer is examined. Suitable transformations are invoked for a system of ordinary differential equations. Convergent series solutions are thus obtained using homotopic approach. Influences of different parameters on the velocity and temperature profile are discussed.