scholarly journals Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Kamran Ahmed ◽  
Tanvir Akbar ◽  
Taseer Muhammad
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Heterogeneous Reaction ◽  
Nonlinear Partial Differential Equations ◽  
Heterogeneous Reactions ◽  
Curved Surface ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Williamson Fluid ◽  
Nonlinear Stretching

This article is concerned with the fluid mechanics of MHD steady 2D flow of Williamson fluid over a nonlinear stretching curved surface in conjunction with homogeneous-heterogeneous reactions with convective boundary conditions. An effective similarity transformation is considered that switches the nonlinear partial differential equations riveted to ordinary differential equations. The governing nonlinear coupled differential equations are solved by using MATLAB bvp4c code. The physical features of nondimensional Williamson fluid parameter λ , power-law stretching index m , curvature parameter K , Schmidt number Sc , magnetic field parameter M , Prandtl number Pr , homogeneous reaction strength k 1 , heterogeneous reaction strength k 2 , and Biot number γ are presented through the graphs. The tabulated form of results is obtained for the skin friction coefficient. It is noted that both the homogeneous and heterogeneous reaction strengths reduced the concentration profile.

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 Magnetohydrodynamic flow of nanofluid over permeable stretching sheet with convective boundary conditions

2016 ◽  
Vol 20 (6) ◽  
pp. 1835-1845 ◽  
Author(s):  
Tasawar Hayat ◽  
Maria Imtiaz ◽  
Ahmed Alsaedi
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Mass Transfer Process ◽  
Convergent Series ◽  
Convective Boundary ◽  
Layer Flow ◽  
Type Boundary ◽  
Mhd Boundary Layer Flow

Analysis has been carried out for the magnetohydrodynamic (MHD) boundary layer flow of nanofluid. The flow is caused by a permeable stretching sheet. Convective type boundary conditions are employed in modeling the heat and mass transfer process. Appropriate transformations reduce the nonlinear partial differential equations to ordinary differential equations. The convergent series solutions are constructed. Graphical results of different parameters are discussed. The behaviors of Brownian motion and thermophoretic diffusion of nanoparticles have been examined. The dimensionless expressions of local Nusselt and local Sherwood numbers have been evaluated and discussed.

Homogeneous and Heterogeneous Reactions Effects in Flow with Joule Heating and Viscous Dissipation

2016 ◽  
Vol 33 (1) ◽  
pp. 77-86 ◽  
Author(s):  
T. Hayat ◽  
Z. Hussain ◽  
M. Farooq ◽  
A. Alsaedi
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Heterogeneous Reaction ◽  
Nonlinear Partial Differential Equations ◽  
Heterogeneous Reactions ◽  
Temperature Fields ◽  
Reaction Parameter ◽  
Homogeneous And Heterogeneous Reactions

AbstractThis work examines the magnetohydrodynamic (MHD) flow of second grade fluid due to a stretching cylinder with viscous dissipation. Advance heat transfer technique namely the Newtonian heating is employed to explore the characteristics of heat transfer phenomenon in the presence of Joule heating. Mass transfer is discussed with the combination of both homogeneous and heterogeneous reactions. Diffusion coefficients of species A and B are considered of the same size. Heat production due to chemical reaction is assumed negligible. Appropriate transformations are employed to convert the nonlinear partial differential equations to the nonlinear ordinary differential equations. Convergent solutions of momentum, energy and concentration equations are developed. Characteristics of different involved parameters on the velocity and temperature fields are shown graphically. Numerical values of skin friction coefficient and Nusselt number are computed and analyzed. Higher values of homogeneous reaction parameter results in the reduction of concentration profile while opposite behavior is observed for heterogeneous reaction parameter.

Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

2019 ◽  
Vol 6 (2) ◽  
Author(s):  
G. Manjunatha ◽  
C. Rajashekhar ◽  
K. V. Prasad ◽  
Hanumesh Vaidya ◽  
Saraswati
Keyword(s):  
Boundary Conditions ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Closed Form Solutions

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate with pressure rise and is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

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