Marangoni Convection Heat and Mass Transport of Power-Law Fluid in Porous Medium with Heat Generation and Chemical Reaction

2016 ◽  
Vol 38 (6) ◽  
pp. 641-652 ◽  
Author(s):  
Liancun Zheng ◽  
Chengru Jiao ◽  
Yanhai Lin ◽  
Lianxi Ma
2019 ◽  
Vol 11 (10) ◽  
pp. 168781401988377 ◽  
Author(s):  
Shakeel Ahmad ◽  
Muhammad Farooq ◽  
Aisha Anjum ◽  
Nazir Ahmad Mir

In this communication, attention is paid to analyze theoretically the influence of the temperature-dependent binary chemical reaction for hydro-magnetic viscous fluid flow, flowing through the porous medium due to the squeezing phenomenon. For better understanding of variations in the processes of convective heat and mass transport, Arrhenius activation energy is also accounted. The equations governing the flow, heat, and mass are altered into non-linear differential system (ordinary differential equation) by means of suitable conversion methods. Efficient convergent technique is employed to compute resulting non-linear system. The solutions thus acquired are utilized to interrogate the behavior of the physical operating variables on flow velocity, fluid temperature, and fluid concentration. Coefficient of skin friction and rate of heat and mass transport are graphically elaborated. From the graphs, it is concluded that the temperature of fluid dominates against activation energy parameter [Formula: see text] and reaction parameter [Formula: see text]. However, an opposite trend is noted for concentration field. Moreover, temperature field and fluid concentration are incremented for dominant thermal and solutal Biot numbers, respectively. This analysis has the industrial processes which include engine cooling system, polymer industry, lubrication mechanisms, design of cooling and heating systems, molding of plastic sheets, designing porous surfaces to decrease drag, optimizing oil/gas production, in the domain of engineering (i.e. chemical, biomedical, geothermal etc.), chemical or nuclear system, cooling process in nuclear reaction, biochemical process, bimolecular reaction, and polymeric flows which is electrically conducted can be restrained and managed by exploiting the magnetic field. Encouraged by such physical situations, the proposed analysis is accomplished.


2010 ◽  
Vol 15 (2) ◽  
pp. 139-154 ◽  
Author(s):  
A. J. Chamkha ◽  
A. M. Aly ◽  
M. A. Mansour

A numerical solution is presented for unsteady coupled heat and mass transfer by natural convection from a non-Newtonian power-law fluid flow past a vertical plate embedded in a non-Darcian porous medium in the presence of viscous dissipation and chemical reaction effects. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme. The solutions at each time step have been found to reach the steady state solution properly. The numerical results are presented in tabular and graphical form to show the effects of material parameters of the problem on the solution.


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