scholarly journals Effect of Chemical Reaction and Thermo-Diffusion in an Electrically Conducting Walters’ B Fluid over a Vertical Stretching Surface

2021 ◽  
Vol 65 (1) ◽  
pp. 36-44
Author(s):  
B.J. Akinbo ◽  
B.I. Olajuwon ◽  
I.A. Osinuga ◽  
S.I. Kuye
Keyword(s):  
Chemical Reaction ◽  
Heat Generation ◽  
Dimensionless Temperature ◽  
Electrically Conducting ◽  
Homotopy Analysis ◽  
Heat Parameter ◽  
Medium Porosity ◽  
Two Parameters ◽  
Walters B Fluid ◽  
Quiescent Fluid

In this article, the significance of chemical reaction and thermo-diffusion in Walters’ B fluid is examined with medium porosity under the influence of non-uniform heat generation\absorption. The nonlinear ordinary differential equations describing the flow are obtained via similarity variables and tackled by Homotopy Analysis Method. The results show among others that involvement of chemical reaction contributes to the shrinking of concentration buoyancy effect while dimensionless temperature overshoot with large values of convective heat parameter and heat generation\absorption which enable thermal potency to gain entrance to the quiescent-fluid, indicating that the two parameters can be used for drying of the components.

Hydromagnetic stagnation point flow of a micropolar viscoelastic fluid towards a stretching/shrinking sheet in the presence of heat generation

2014 ◽  
Vol 92 (10) ◽  
pp. 1113-1123 ◽  
Author(s):  
Z. Abbas ◽  
Mariam Sheikh ◽  
M. Sajid
Keyword(s):  
Heat Generation ◽  
Fluid Velocity ◽  
Shrinking Sheet ◽  
Series Solutions ◽  
Flow Equations ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Governing System ◽  
Homotopy Analysis ◽  
Analytical Series

In this article, the boundary layer two-dimensional Hiemenz flow and heat transfer for a micropolar, viscoelastic electrically conducting fluid over a shrinking/stretching sheet with heat generation is investigated. The governing system of flow equations is first reduced to coupled nonlinear ordinary differential equations by means of similarity transformations. A purely analytical series solutions of these equations is obtained in which domain (0 ≤ η ≤ ∞) using an analytic technique, namely, the homotopy analysis method. The convergence of the series solutions is discussed explicitly. The influences of an emerging parameters on the fluid velocity, microrotation velocity and temperature field are shown graphically and discussed in detail. The comparison of present results with the existing results is also given and found in excellent agreement.

scholarly journals Series Solution for Steady Heat Transfer in a Heat-Generating Fin with Convection and Radiation

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Fazle Mabood ◽  
Waqar A. Khan ◽  
Ahmad Izani Md Ismail
Keyword(s):  
Heat Transfer ◽  
Heat Generation ◽  
Transfer Problem ◽  
Dimensionless Temperature ◽  
Homotopy Analysis ◽  
Optimal Homotopy Asymptotic Method ◽  
Fifth Order ◽  
Surface Convection ◽  
Steady Heat ◽  
Generation Parameter

The steady heat transfer in a heat-generating fin with simultaneous surface convection and radiation is studied analytically using optimal homotopy asymptotic method (OHAM). The steady response of the fin depends on the convection-conduction parameter, radiation-conduction parameter, heat generation parameter, and dimensionless sink temperature. The heat transfer problem is modeled using two-point boundary value conditions. The results of the dimensionless temperature profile for different values of convection-conduction, radiation-conduction, heat generation, and sink temperature parameters are presented graphically and in tabular form. Comparison of the solution using OHAM with homotopy analysis method (HAM) andRunge-Kutta-Fehlberg fourth-fifth-ordernumerical method for various values of controlling parameters is presented. The comparison shows that the OHAM results are in excellent agreement with NM.

Unsteady Squeezing Flow and Mass Transfer in a Channel with Temporal Width

2018 ◽  
Vol 389 ◽  
pp. 86-99
Author(s):  
Kanakalata L. Ojha ◽  
R.N. Barik ◽  
G.C. Dash
Keyword(s):  
Magnetic Field ◽  
Chemical Reaction ◽  
Transverse Magnetic ◽  
Integration Scheme ◽  
Squeezing Flow ◽  
Time Varying ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Complex Boundary

An analysis is carried on an unsteady two-dimensional squeezing radiative flow of an incompressible, viscous, electrically conducting fluid in the presence of time-varying transverse magnetic field and chemical reaction. The crux of the analysis centres round, time-varying magnetic field, squeezing of the channel, chemical reaction of diffusing species and radiative heat transfer. These phenomena affect momentum, thermal energy and solutal transport mechanism significantly. The modified governing equations with complex boundary conditions contribute to intricacy of the solution. The Runge-Kutta sixth order integration scheme with shooting technique has been applied to solve the ordinary differential equations under similarity transformations. The analysis reveals that the numerical method applied in the present analysis is as effective and consistent as that of Homotopy Analysis Method (HAM). Further, it is interesting to note that the squeezing of the channel width acts adversely to the resistive force due to the presence of a magnetic field and hence suggests a controlling device to nullify the effect.

Effects of Heat Generation/Absorption on Magnetohydrodynamics Flow Over a Vertical Plate with Convective Boundary Condition

2021 ◽  
Author(s):  
Bayo Johnson Akinbo ◽  
Bakai Ishola Olajuwon
Keyword(s):  
Heat Generation ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Convective Boundary Condition ◽  
Physical Parameters ◽  
Weighted Residual Method ◽  
Convective Boundary ◽  
Linear Ordinary Differential Equations ◽  
Heat Parameter ◽  
Medium Porosity

Heat generation effect in a steady two-dimensional magnetohydrodynamics (MHD) flow over a moving vertical plate with a medium porosity has been studied. By similarity transformation variables, the coupled non-linear ordinary differential equations describing the model are obtained. The resulting equation is then solved, using Galerkin Weighted Residual Method (GWRM), where the effect of heat generation, Magnetic Parameter as well as other physical parameters encountered were examined and discussed. Some of the major findings were that increase in heat generation and convective heat parameter enhances the plate surface temperature as well as temperature field which allows the thermal effect to penetrate deeper into the quiescent fluid.

scholarly journals Homotopy Analysis Solution of Hydromagnetic Mixed Convection Flow Past an Exponentially Stretching Sheet with Hall Current

2012 ◽  
Vol 2012 ◽  
pp. 1-26 ◽  
Author(s):  
Mohamed Abd El-Aziz ◽  
Tamer Nabil
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Electrically Conducting ◽  
Hall Parameter ◽  
Homotopy Analysis ◽  
Continuous Sheet ◽  
Exponentially Stretching ◽  
The Magnetic Field

The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external strong uniform magnetic field is applied perpendicular to the sheet and the Hall effect is taken into consideration. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations using appropriate transformations and then solved analytically by the homotopy analysis method (HAM). The solution is found to be dependent on six governing parameters including the magnetic field parameterM, Hall parameterm, the buoyancy parameterξ, the radiation parameterR, the parameter of temperature distributiona, and Prandtl number Pr. A systematic study is carried out to illustrate the effects of these major parameters on the velocity and temperature distributions in the boundary layer, the skin-friction coefficients, and the local Nusselt number.

Chemical Reaction and Thermal Radiation Effects on MHD Mixed Convection over a Vertical Plate with Variable Fluid Properties

2018 ◽  
Vol 387 ◽  
pp. 332-342
Author(s):  
R. Suresh Babu ◽  
B. Rushi Kumar ◽  
Oluwole Daniel Makinde
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Numerical Comparison ◽  
Electrically Conducting ◽  
Fluid Properties ◽  
Integral Scheme ◽  
Dimensional Parameters ◽  
Homogeneous Chemical

This article investigates the magnetohydrodynamic mixed convective heat, and mass transfer flow of an incompressible, viscous, Boussinesq, electrically conducting fluid from a vertical plate in a sparsely packed porous medium in the presence of thermal radiation and an nth order homogeneous chemical reaction between the fluid and the diffusing species numerically. In this investigation, the fluid and porous properties like thermal and solutal diffusivity, permeability and porosity are all considered to be vary. The governing non-linear PDE's for the fluid flow are derived and transformed into a system of ODE's using an appropriate similarity transformation. The resultant equations are solved numerically using shooting technique and Runge-Kutta integral scheme with the help of Newton-Raphson algorithm in order to know the characteristics of the fluid for various non-dimensional parameters which are controlling the physical system graphically. The results of the numerical scheme are validated and a numerical comparison has been made with the available literature in the absence of some parameters and found that in good agreement. Nomenclature

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