scholarly journals Classification and evolution of bifurcation curves for a porous-medium combustion problem with large activation energy

2020 ◽  
Vol 0 (0) ◽  
pp. 1-24
Author(s):  
Kuo-Chih Hung ◽  
◽  
Shin-Hwa Wang ◽  
Author(s):  
A. Al-Zubaidi ◽  
Mubbashar Nazeer ◽  
S. Saleem ◽  
Farooq Hussain ◽  
Fayyaz Ahmad

This paper numerically simulates the nanofluid flow over a thermally expanding Riga plate. Buongiorno model for nanofluid is employed to investigate the contribution of Brownian motion and thermophoretic force on the nanoflow. Magnetohydrodynamics (MHD) of viscous nanofluid through a porous medium is characterized with the help of Darcy–Forchheimer’s model. In addition, the simultaneous effects of activation energy and chemical reaction have been incorporated. Moreover, highly nonlinear coupled differential equations are formulated which highlight the influence of viscous dissipation and heat generation. A numerical solution is achieved with the help of the Range–Kutta fourth-order (RK4) method combined with the shooting technique. Finally, the role of emerging parameters is studied via performing the numerical simulation which reveals that the momentum boundary layer of nanofluid shrinks due to the porous medium. Whereas, thermal boundary layer expands for all variables, except for the Prandtl number. Finally, mass transfer rated suffers due to Schmidt number.


2020 ◽  
Vol 297 ◽  
pp. 111905 ◽  
Author(s):  
M. Ijaz Khan ◽  
Sidra Afzal ◽  
T. Hayat ◽  
M. Waqas ◽  
A. Alsaedi

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.


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