Significance of induced magnetic field and variable thermal conductivity on stagnation point flow of second grade fluid

2021 ◽  
Vol 28 (11) ◽  
pp. 3381-3390
Author(s):  
A. A. Khan ◽  
S. Ilyas ◽  
T. Abbas ◽  
R. Ellahi
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
Stagnation Point ◽  
Variable Thermal Conductivity ◽  
Stagnation Point Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Induced Magnetic Field ◽  
Grade Fluid

Dufour and Soret effects on Darcy-Forchheimer flow of second-grade fluid with the variable magnetic field and thermal conductivity

2020 ◽  
Vol 30 (9) ◽  
pp. 4331-4347 ◽  
Author(s):  
Ambreen A. Khan ◽  
S. Naeem ◽  
R. Ellahi ◽  
Sadiq M. Sait ◽  
K. Vafai
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Thermal Conductivity ◽  
Variable Magnetic Field ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Content Type ◽  
Grade Fluid ◽  
The Impact ◽  
Forchheimer Flow

Purpose This study aims to investigate the effect of two-dimensional Darcy-Forchheimer flow over second-grade fluid with linear stretching. Heat transfer through convective boundary conditions is taken into account. Design/methodology/approach Nonlinear coupled governing equations are tackled with a homotopy algorithm, while for numerical computation the computer software package BVPh 2.0 is used. The convergence analysis is also presented for the validation of analytical and numerical results. Findings Valuation for the impact of key parameters such as variable thermal conductivity, Dufour and Soret effects and variable magnetic field in an electrically conducted fluid on the velocity, concentration and temperature profiles are graphically illustrated. It is observed from the results that temperature distribution rises by Dufour number whereas concentration distribution rises by Soret number. The Forchheimer number and porosity parameter raise the skin friction coefficient. The permeable medium has a vital impact and can help in reining the rate of heat transfer. Practical implications The permeable medium has a vital impact and can help in reining the rate of heat transfer. Originality/value To the best of the authors’ knowledge, this study is reported for the first time.

Dufour and Soret Effects in an Axisymmetric Stagnation Point Flow of Second Grade Fluid with Newtonian Heating

2012 ◽  
Vol 29 (1) ◽  
pp. 27-34 ◽  
Author(s):  
M. Nawaz ◽  
A. Alsaedi ◽  
T. Hayat ◽  
M. S. Alhothauli
Keyword(s):  
Stagnation Point ◽  
Convergent Series ◽  
Stagnation Point Flow ◽  
Second Grade ◽  
Newtonian Heating ◽  
Second Grade Fluid ◽  
Soret And Dufour Effects ◽  
Mathematical Problems ◽  
Grade Fluid ◽  
Dufour Number

ABSTRACTThe problem of magnetohydrodyanmic stagnation point flow and heat transfer of second grade fluid past a radially stretching sheet is investigated. The flow problems are examined in the presence of Newtonian heating and Soret and Dufour effects. The relevant mathematical problems are developed through equations of continuity, momentum, energy and concentration. The reduced differential equations are solved for the convergent series solutions. In order to validate the homotopy analysis method (HAM), a comparative study between the present and previous results is made. It is observed that Dufour and Soret effects on temperature and concentration distributions are different. Qualitatively, the influence of Prandtl number on temperature and Schmidt number on concentration is similar. It is further noted that the diffusion of solute in second grade fluid is increasing function of Soret number whereas it decreases when Dufour number increases.

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