scholarly journals Numerical Analysis of Three‐Dimensional MHD Nanofluid Flow over a Stretching Sheet with Convective Boundary Conditions through a Porous Medium

Author(s):  
Stanford Shateyi
Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 741 ◽  
Author(s):  
Anum Shafiq ◽  
Ghulam Rasool ◽  
Chaudry Masood Khalique

This article is concerned with the nanofluid flow in a rotating frame under the simultaneous effects of thermal slip and convective boundary conditions. Arrhenius activation energy is another important aspect of the present study. Flow phenomena solely rely on the Darcy–Forchheimer-type porous medium in three-dimensional space to tackle the symmetric behavior of viscous terms. The stretching sheet is assumed to drive the fluid. Buongiorno’s model is adopted to see the features of Brownian diffusion and thermophoresis on the basis of symmetry fundamentals. Governing equations are modeled and transformed into ordinary differential equations by suitable transformations. Solutions are obtained through the numerical RK45-scheme, reporting the important findings graphically. The outputs indicate that larger values of stretching reduce the fluid velocity. Both the axial and transverse velocity fields undergo much decline due to strong retardation produced by the Forchheimer number. The thermal radiation parameter greatly raises the thermal state of the field. The temperature field rises for a stronger reaction within the fluid flow, however reducing for an intensive quantity of activation energy. A declination in the concentration profile is noticed for stronger thermophoresis. The Forchheimer number and porosity factors result in the enhancement of the skin friction, while both slip parameters result in a decline of skin friction. The thermal slip factor results in decreasing both the heat and mass flux rates. The study is important in various industrial applications of nanofluids including the electro-chemical industry, the polymer industry, geophysical setups, geothermal setups, catalytic reactors, and many others.


Author(s):  
Imran Ullah

Fluid heating and cooling is significant in a variety of industries, including power generation and transportation. Improvements in the thermal conductivity of the base fluid can also help in heat transmission. For this purpose, the effects of magneto hydrodynamics (MHD) and thermal radiation on mixed convection flow of Williamson nanofluid across a stretched sheet embedded in a porous medium in the presence of slip and convective boundary conditions is investigated. The Boungiorno model is adopted to analyze the impact of various dimensionless parameters on velocity, temperature, and nanoparticle concentration in the presence of slip and convective boundary conditions. The nonlinear governing equations are non-dimensionalized using similarity transformations, and the Keller box technique is utilized to solve them numerically. The current code is validated by generating numerical results for wall shear stress and compared them to previously published results. The comparison demonstrates that the outcomes are extremely similar. The results reveal that in the presence of a porous media, raising the magnetic and slip parameters reduced the nanofluid's velocity. It is also noticed that by increasing the radiation parameter, the heat and mass transfer rates on the surface of the stretching sheet are improved. In the presence of convective boundary conditions, the effect of Brownian motion and thermophoresis parameters on nanoparticle concentration was observed to be more profound.


2020 ◽  
Vol 24 (5 Part A) ◽  
pp. 3047-3048
Author(s):  
Mohamed Awad

Discussion is presented on Hayat et al. [1]?s paper, where the researchers analyzed the MHD nanofluid flow past permeable stretching sheet. This discussion illustrates that there is a discrepancy in the coefficient of thermophoretic diffusion and coefficient of Brownian diffusion units utilizing the concentration and energy equations.


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