scholarly journals Analytical Simulation for Magnetohydrodynamic Maxwell Fluid Flow Past an Exponentially Stretching Surface with First-Order Velocity Slip Condition

Coatings ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 1009
Author(s):  
Abdullah Dawar ◽  
Anwar Saeed ◽  
Zahir Shah ◽  
Wiyada Kumam ◽  
Saeed Islam ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Fluid Flow ◽  
Flow Problem ◽  
Velocity Slip ◽  
Maxwell Fluid ◽  
Darcy Number ◽  
Stretching Surface ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching ◽  
Brownian Motion Parameter

The study of fluid flow upon an exponentially stretching surface has significant importance due to its applications in technological phenomena at the industrial level. These applications include condensing process of fluid film, heat exchanger processes, extrusion of plastic sheet in aerodynamics, cooling process of metal sheet, and growth of crystals, etc. Keeping in view all these applications, in this paper, we have discussed the magnetohydrodynamic flow of Maxwell fluid past an exponentially stretching sheet. The stretching surface is considered to be slippery by imposing the velocity slip condition. The magnetic field impact is taken into consideration. Furthermore, heat radiation, Joule heating, Brownian motion, and thermophoresis are also considered. The modeled system is reduced to ordinary differential equations with the help of similarity variables. For the analytical solution, we have used the homotopy analysis method. Furthermore, HAM is compared with the shooting method and found to be in great agreement. The squared residual error of the fluid flow problem at 15th order of approximations for Newtonian and non-Newtonian cases has been investigated. It is found that the fluid flow problem converges quickly for the case of non-Newtonian fluid as compared to Newtonian fluid. In addition, the velocity profile increases while the thermal and concentration profiles reduce with greater values of Darcy number. The thermal profile is the increasing function of the Brownian motion parameter and Eckert number whereas the concentration profile is the reducing function of the Brownian motion parameter and Eckert number. With the augmentation in Darcy number, the permeability strength of porous medium increases which concludes the increasing conduct of thermal and mass transportation.

Unsteady Magnetohydrodynamic Flow Past a Slendering Stretching Surface with Thermophoresis and Brownian Motion

2018 ◽  
Vol 387 ◽  
pp. 653-665 ◽  
Author(s):  
G. Kumaran ◽  
Oluwole Daniel Makinde ◽  
R. Sivaraj
Keyword(s):  
Brownian Motion ◽  
Shooting Method ◽  
Flow Problem ◽  
Magnetohydrodynamic Flow ◽  
Concentration Profiles ◽  
Stretching Surface ◽  
Linear Flow ◽  
Flow Past ◽  
Source Sink ◽  
Brownian Motion Parameter

In this paper, we investigate the influence of non uniform heat source/sink and thermal radiation on magnetohydrodynamic flow past a slendering surface with the influence of thermophoresis and Brownian effects. The governing non-linear flow problem is solved numerically by the aid of RK based shooting method. Influence of dimensionless parameters on the velocity, temperature and concentration profiles are explored through graphical illustrations. Skin friction factor, Nusselt and Sherwood numbers are presented and discussed. Rising values of magnetic and thermophoresis parameters increase the thermal and concentration distributions. Boosting values of Brownian motion parameter enhance the Nusselt and Sherwood numbers.

scholarly journals Partial slip and thermal radiation effects on hydromagnetic flow over an exponentially stretching surface with suction or blowing

2018 ◽  
Vol 22 (2) ◽  
pp. 797-808 ◽  
Author(s):  
Santosh Chaudhary ◽  
Mohan Choudhary
Keyword(s):  
Thermal Radiation ◽  
Radiation Effects ◽  
Computational Simulation ◽  
Velocity Slip ◽  
Skin Friction Coefficient ◽  
Partial Slip ◽  
Slip Parameter ◽  
Stretching Surface ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching

This paper is devoted to analyze computational simulation to study the partial slip and thermal radiation effects on the flow of a viscous incompressible electrically conducting fluid through an exponentially stretching surface with suction or blowing in presence of magnetic field. Using suitable similarity variables, the non-linear boundary-layer PDE are converted to ODE and solved numerically by Runge-Kutta fourth order method in association with shooting technique. Effects of suction or blowing parameter, velocity slip parameter, magnetic parameter, thermal slip parameter, thermal radiation parameter, Prandtl number, and Eckert number are demonstrated graphically on velocity and temperature profiles while skin friction coefficient and surface heat transfer rate are presented numerically. Moreover, comparison of numerical results for non-magnetic case is made with previously published work under limiting cases.

scholarly journals MHD flow of Maxwell fluid with nanomaterials due to an exponentially stretching surface

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Umer Farooq ◽  
Dianchen Lu ◽  
Shahzad Munir ◽  
Muhammad Ramzan ◽  
Muhammad Suleman ◽  
...  
Keyword(s):  
Mhd Flow ◽  
Maxwell Fluid ◽  
Stretching Surface ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching

Unsteady mixed convection along a permeable exponentially stretching surface

2018 ◽  
Vol 28 (9) ◽  
pp. 1994-2011 ◽  
Author(s):  
Prabhugouda Mallanagouda Patil ◽  
Shashikant A.
Keyword(s):  
Fluid Flow ◽  
Mixed Convection ◽  
Skin Friction Coefficient ◽  
Governing Equations ◽  
Stretching Surface ◽  
Content Type ◽  
Linear Partial Differential Equations ◽  
Unsteady Mixed Convection ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching

Purpose The purpose of this paper is to consider the influence of slip flow and thermal jump and to investigate its effects on unsteady mixed convection along an exponentially stretching surface. It is also intended to explore the influence of suction/injection and volumetric heat source/sink on the fluid flow. Design/methodology/approach The assumed problem is modelled into governing equations which are dimensional non-linear partial differential equations in nature. To obtain solutions, initially the governing equations were made non-dimensional by the suitable non-similar transformations. Then, the dimensionless non-linear partial differential equations are linearized with the aid of Quasilinearization technique. The so obtained equations are discretized by the implicit finite difference method. Findings The detailed analysis of the considered problem displays that the non-similarity variable reduces the velocity and temperature profiles. For higher values of mixed convection parameter, the magnitude of velocity profile as well as the Nusselt number increase. The unsteady variable diminishes the fluid flow. The higher values of velocity ratio parameter reduce the skin-friction coefficient. Further, the magnitude of skin-friction coefficient and heat transfer rate are to minimize for increasing values of partial slip and thermal jump parameters, respectively. Volumetric heat source and injection parameters are to rise the flow behavior within the momentum and thermal boundary layers significantly. Originality/value To the best of authors’ knowledge, no such investigation has been found in the literature.

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