MHD radiative flow of Williamson nanofluid along stretching sheet in a porous medium with convective boundary conditions

2021 ◽  
pp. 095440892110580
Author(s):  
Imran Ullah
Keyword(s):  
Porous Medium ◽  
Boundary Conditions ◽  
Stretching Sheet ◽  
Convection Flow ◽  
Convective Boundary Conditions ◽  
Nanoparticle Concentration ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Heating And Cooling ◽  
The Impact

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.

scholarly journals Effects of Non-Darcy Mixed Convection Over a Horizontal Cone With Different Convective Boundary Conditions Incorporating Gyrotactic Microorganisms On Dispersion

2021 ◽  
Author(s):  
M. Ferdows ◽  
Bader Alshuraiaan ◽  
Nayema Islam Nima
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Mixed Convection ◽  
Biot Number ◽  
Nonlinear Partial Differential Equations ◽  
Convection Flow ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Strong Conclusion

Abstract This paper discusses an investigation of the influence of dispersion impact on mixed convection flow over a horizontal cone within a non-Darcy porous medium subjected to convective boundary conditions. By imposing appropriate similarity transformations, the nonlinear partial differential equations governing flow, temperature, concentration, and microbe fields are reduced to a system of ordinary differential equations, which are then solved using the MATLAB BVP4C function. In a few circumstances, the research is brought to a strong conclusion by comparing the findings of the current study to previously published works. Mixed convection parameter λ, buoyancy parameters N1,N2, Lewis parameter Le, bioconvection lewis parameter Lb, Bioconvection peclet number Pe, Biot number Bi, Biot number of Mass transfer Bi,m and also Biot number of motile microorganism transfer Bi,n are all numerically calculated for various values of the dimensionless parameters of the problem. The results also reveal that, in the presence of dispersion effects, these parameters greatly influence the heat, mass, and motile microorganism transfer rates, as well as the corresponding velocity, temperature, concentration, and motile microorganism profiles.

scholarly journals Soret and Dufour effects on chemically reacting mixed convection flow in an annulus with Navier slip and convective boundary conditions

2019 ◽  
Vol 4 (2) ◽  
pp. 475-488
Author(s):  
K. Kaladhar ◽  
E. Komuraiah ◽  
K. Madhusudhan Reddy
Keyword(s):  
Fluid Flow ◽  
Boundary Conditions ◽  
Mixed Convection ◽  
Chemical Reaction ◽  
Outer Cylinder ◽  
Convection Flow ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Cylindrical Annulus ◽  
The Impact

AbstractThis analysis is to study the incompressible mixed convection laminar Newtonian flow through concentric cylindrical annulus associated with slip and convective boundary conditions. This presentation considered the cross diffusions and chemical reaction effects also. The fluid flow in an annulus is due to the rotation of the outer cylinder with constant velocity. The analysis of such kind of fluid flow is governed by nonlinear partial differential equations. The governing system of equations were mapped into dimensionless system with appropriate transformations. The system has been solved using Homotopy Analysis Method (HAM). The influence of Soret, Dufour, slip parameter and the chemical reaction parameter on velocity, temperature and concentration are investigated, and presented through plots. The maximum values of slip leads to increase in velocity and temperature profiles. Further the impact of boundary conditions on velocity, temperature and concentration are also presented.

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