M. Farooq

Thermal Radiation Effect in MHD Flow of Powell—Eyring Nanofluid Induced by a Stretching Cylinder

AbstractIn this paper, the steady magnetohydrodynamic (MHD) boundary layer flow of Powell—Eyring nanofluid over a stretching cylinder is discussed. Analysis is performed in the presence of thermal radiation. Variable temperature and concentration are assumed at the surface of cylinder. The arising governing equations of momentum, energy, and concentration are transformed into nonlinear ordinary differential equations by appropriate transformations. Convergent solutions of the governing equations are found. The behavior of pertinent parameters on the velocity, temperature, and concentration profiles are depicted graphically and analyzed comprehensively in detail. The presented results are also compared with the previous published work in the limiting sense.

Melting heat transfer in stagnation point flow of carbon nanotubes towards variable thickness surface

This work concentrates on the mathematical modeling for stagnation point flow of nanofluids over an impermeable stretching sheet with variable thickness. Carbon nanotubes [single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes (MWCNTs)] as the nanoparticles are utilized. Water and kerosene oil are taken as the base fluids. Heat transfer through melting effect is discussed. Transformation procedure is adapted to obtain the non-linear ordinary differential equations from the fundamental laws of mass, linear momentum and energy. The optimal values of convergence control parameters and corresponding individual and total residual errors for SWCNTs and MWCNTs are computed by means of homotopy analysis method (HAM) based BVPh 2.0. Characteristics of different involved parameters on the velocity, temperature, skin friction coefficient and Nusselt number are discussed. Higher velocity profile is observed for wall thickness parameter in case of water carbon nanotubes when compared with the kerosene o...

Magnetohydrodynamic Flow by a Stretching Cylinder with Newtonian Heating and Homogeneous-Heterogeneous Reactions.

This article examines the effects of homogeneous-heterogeneous reactions and Newtonian heating in magnetohydrodynamic (MHD) flow of Powell-Eyring fluid by a stretching cylinder. The nonlinear partial differential equations of momentum, energy and concentration are reduced to the nonlinear ordinary differential equations. Convergent solutions of momentum, energy and reaction equations are developed by using homotopy analysis method (HAM). This method is very efficient for development of series solutions of highly nonlinear differential equations. It does not depend on any small or large parameter like the other methods i. e., perturbation method, δ—perturbation expansion method etc. We get more accurate result as we increase the order of approximations. Effects of different parameters on the velocity, temperature and concentration distributions are sketched and discussed. Comparison of present study with the previous published work is also made in the limiting sense. Numerical values of skin friction coefficient and Nusselt number are also computed and analyzed. It is noticed that the flow accelerates for large values of Powell-Eyring fluid parameter. Further temperature profile decreases and concentration profile increases when Powell-Eyring fluid parameter enhances. Concentration distribution is decreasing function of homogeneous reaction parameter while opposite influence of heterogeneous reaction parameter appears.

Magnetohydrodynamic (MHD) flow of nanofluid with double stratification and slip conditions

ABSTRACT This paper concerns with the analysis of double stratification in magnetohydrodynamic (MHD) flow of nanofluid by a stretching cylinder. Brownian motion and thermophoresis effects are present in the transport equations. The flow is subjected to velocity, thermal and solutal slip conditions. Non-linear ordinary differential equations are obtained from the governing non-linear partial differential equations after using appropriate transformations. The resulting non-linear ordinary differential equations are solved for the convergent series solutions. The velocity, temperature and concentration profiles are illustrated for different emerging parameters. Velocity distribution decays for higher estimation of velocity slip parameter. Furthermore, temperature decreases and concentration enhances for higher values of thermal stratification parameter and thermophoresis parameter, respectively. Numerical results for the skin friction, Nusselt number and Sherwood number are also presented and examined. Comparison between the published limiting solutions and present results is found in an excellent agreement.

Mixed Convection Falkner–Skan Flow of a Maxwell Fluid

We performed a study for the effect of Newtonian heating on the nonsimilar mixed convection Falkner―Skan flow of a Maxwell fluid. Transformation procedure is adopted in obtaining the ordinary differential equations. Homotopic approach is adopted for the series solutions of velocity and temperature. Special emphasis is given to the effects of Prandtl number (Pr) and conjugate parameter (γ) which measure the strength of surface heating. It is observed that temperature and heat transfer rate are enhanced by increasing the conjugate parameter.

MHD FLOW OF POWELL-EYRING FLUID BY A STRETCHING CYLINDER WITH NEWTONIAN HEATING

This paper examines magnetohydrodynamic (MHD) flow of Powell-Eyring fluid by n a stretching cylinder with thermal radiation. Analysis has been presented n through inclined magnetic field. Characteristics of heat transfer are n analyzed with advanced boundary condition (i.e., Newtonian heating). Suitable n transformations convert the nonlinear partial differential equations to the n nonlinear ordinary differential equations. Convergent series solutions of n momentum and energy equations are developed. Effects of different pertinent n parameters on the velocity and temperature distributions are shown n graphically. Numerical values of the skin friction coefficient and Nusselt n number are also computed and analyzed. Comparison of the present study with n the previous published work is also examined. Higher values of fluid M and n curvature parameters show enhancement in the fluid velocity while opposite n behavior is observed for Hartman number and Suction parameter. Conjugate and n radiation parameters lead to an increase in temperature.

Magnetohydrodynamic flow of squeezed Maxwell nano-fluid with double stratification and convective conditions

This article is made to discuss the effect of magnetohydrodynamic on squeezing flow of the nanoparticles between two confined boundaries. Constitutive expressions are utilized for convectively heated Maxwell nano-fluid using Buongiorno’s model in the mathematical development of considered flow problem. Here system of transport equations incorporates the combined impacts of thermophoresis diffusion, Brownian diffusion, and double stratification. Non-linear coupled ordinary differential equations are transformed by employing suitable similar transformations. The formulated non-linear system is evaluated successfully via convergent approach, that is, Homotopy analysis method. The graphical analysis is carried out for different active physical flow parameters. Nusselt and Sherwood numbers are also treated graphically. The results portray that the velocity profile shows cross flow behavior for increasing values of material parameter. Moreover, for dominant values of Biot number, convective effects dominant on plate surface and help the temperature and nanoparticles concentration to increase rapidly near the surface.