scholarly journals Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Talha Anwar ◽  
Poom Kumam ◽  
Wiboonsak Watthayu
Keyword(s):  
Shear Stress ◽  
Magnetic Parameter ◽  
Casson Fluid ◽  
Radiative Flux ◽  
Convection Flow ◽  
Suction Parameter ◽  
Electrically Conducting ◽  
Graphical Comparison ◽  
Variable Wall ◽  
Heat Injection

AbstractUnsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. Thermal radiation flux and heat injection/suction terms are also incorporated in the energy equation. The electrically conducting fluid is flowing through a porous material and these phenomena are governed by partial differential equations. After employing some adequate dimensionless variables, the solutions are evaluated by dint of Laplace transform. In addition, the physical contribution of substantial parameters such as Grashof number, radiation parameter, heat injection/suction parameter, porosity parameter, Prandtl number, and magnetic parameter is appropriately elucidated with the aid of graphical and tabular illustrations. The expressions for skin friction and Nusselt number are also derived to observe wall shear stress and rate of heat transfer. A graphical comparison between solutions corresponding to ramped and constant conditions at the wall is also provided. It is observed that graphs of the solutions computed under constant conditions are always superior with respect to graphs of ramped conditions. The magnetic field decelerates the flow, whereas the radiative flux leads to an upsurge in the flow. Furthermore, the shear stress is a decreasing function of the magnetic parameter.

scholarly journals Effects of arbitrary shear stress on unsteady free convection flow of Casson fluid past a vertical plate

2017 ◽  
Vol 7 ◽  
pp. 3301-3306 ◽  
Author(s):  
Arshad Khan ◽  
Ilyas Khan ◽  
Asma Khalid ◽  
Sharidan Shafie
Keyword(s):  
Shear Stress ◽  
Free Convection ◽  
Vertical Plate ◽  
Casson Fluid ◽  
Convection Flow ◽  
Free Convection Flow

scholarly journals On a Homotopy Perturbation Treatment of Steady Laminar Forced Convection Flow over a Nonlinearly Stretching Porous Sheet

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Nemat Dalir ◽  
Salman Nourazar
Keyword(s):  
Boundary Layer ◽  
Shear Stress ◽  
Forced Convection ◽  
Convection Flow ◽  
Surface Shear Stress ◽  
Surface Shear ◽  
Suction Parameter ◽  
Sheet Surface ◽  
Homotopy Perturbation ◽  
Laminar Forced Convection

The steady two-dimensional laminar forced convection boundary layer flow of an incompressible viscous Newtonian fluid over a nonlinearly stretching porous (permeable) sheet with suction is considered. The sheet’s permeability is also considered to be nonlinear. The boundary layer equations are transformed by similarity transformations to a nonlinear ordinary differential equation (ODE). Then the homotopy perturbation method (HPM) is used to solve the resultant nonlinear ODE. The dimensionless entrainment parameter and the dimensionless sheet surface shear stress are obtained for various values of the suction parameter and the nonlinearity factor of sheet stretching and permeability. The results indicate that the dimensionless sheet surface shear stress decreases with the increase of suction parameter. The results of present HPM solution are compared to the values obtained in a previous study by the homotopy analysis method (HAM). The HPM results show that they are in good agreement with the HAM results within 2% error.

Hydromagnetic Convective Diffusion Between Parallel Plates With Suction

1985 ◽  
Vol 52 (1) ◽  
pp. 213-215
Author(s):  
N. Annapurna ◽  
A. S. Gupta ◽  
B. S. Dandapat
Keyword(s):  
Schmidt Number ◽  
Magnetic Parameter ◽  
Convective Diffusion ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Longitudinal Diffusion ◽  
Suction Parameter ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Uniform Wall

This paper presents an analytical solution for the dispersion of a solute in an electrically conducting fluid flowing between parallel plates with a transverse magnetic field and uniform wall suction. For fixed values of the suction parameter P and Schmidt number Sc, the longitudinal diffusion coefficient K decreases rapidly with increase in the magnetic parameter M. Further, for fixed M and Sc, it is found that K increases with increasing P. The effect of variation of Sc on K is found to be very small.

scholarly journals Mathematical Modelling on an Electrically Conducting Fluid Flow in an Inclined Permeable Tube with Multiple Stenoses

2019 ◽  
Vol 9 (1) ◽  
pp. 3915-3921
Keyword(s):  
Shear Stress ◽  
Brownian Motion ◽  
Fluid Flow ◽  
Magnetic Parameter ◽  
Conducting Fluid ◽  
Grashof Number ◽  
Electrically Conducting ◽  
Permeability Constant ◽  
Coupled Equations ◽  
Electrically Conducting Fluid

The effect of electrically conducting fluid flow in an inclined tube with permeable walls and having multiple stenosis through porous medium was studied. The Homotopy Perturbation Method is used to calculate the phenomena of Nanoparticle and temperature of the coupled equations. The solutions have been analyzed on the basis of pressure drop, resistance to the flow and wall shear stress. It is identified that the heights of the stenosis, Thermophoresis parameter, local temperature Grashof number, local nanoparticle Grashof number, Magnetic parameter increases with the resistance to the flow and Brownian motion number, permeability constant decreases with resistance to the flow. It is remarkable that, the resistance to the flow is found increasing for the values of inclination and decreases for the values of . The observation also notes that, the shear stress at the wall is found increasing with the height of the stenosis, Inclination, Thermophoresis parameter, local nanoparticle Grashof number and Permeability constant, but found decreasing with Brownian motion parameter and Magnetic Parameter

scholarly journals MHD flow of longitudinal and torsional oscillations of a circular cylinder with suction in a couple stress fluid

2013 ◽  
Vol 18 (4) ◽  
pp. 1099-1114 ◽  
Author(s):  
G. Nagaraju ◽  
J.V. Ramana Murthy
Keyword(s):  
Circular Cylinder ◽  
Couple Stress ◽  
Magnetic Parameter ◽  
Mhd Flow ◽  
Couple Stress Fluid ◽  
Radial Magnetic Field ◽  
Suction Parameter ◽  
Torsional Oscillations ◽  
Electrically Conducting ◽  
Constant Suction

Abstract In this paper, we consider the flow an incompressible electrically conducting couple stress fluid generated by performing longitudinal and torsional oscillations of a porous circular cylinder subjected to constant suction/injection at the surface of the cylinder and in the presence of a radial magnetic field. A finite difference method is proposed to analyze the velocity components, in an infinite expansion of a couple stress fluid under vanishing couple stresses on the boundary. The effects of the magnetic parameter, couple stress parameter, Reynolds number, the ratio of couple stress viscosities parameter and suction parameter on velocity components and drag are discussed and shown graphically.

Entropy Optimization in Nonlinear Mixed Convective Flow of Nanomaterials Through Porous Space

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Tasawar Hayat ◽  
Ikram Ullah ◽  
Ahmad Alsaedi ◽  
Shaher Momani
Keyword(s):  
Convective Flow ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Porous Space ◽  
Arrhenius Activation Energy ◽  
Suction Parameter ◽  
Electrically Conducting ◽  
Entropy Optimization ◽  
Dimensionless Variables ◽  
Mixed Convective Flow

Abstract Our intention in this article is to investigate entropy optimization in nonlinear mixed convective unsteady magnetohydrodynamic flow of nanomaterials in porous space. An exponentially stretched sheet creates the liquid flow. Nanomaterial is considered electrically conducting. The concentration and energy expressions comprise viscous dissipation, Joule heating, thermophoresis and Brownian motion aspects. Arrhenius activation energy is considered. Computation of entropy generation based upon the second law of thermodynamics is made. Nonlinear partial expressions are obtained via suitable dimensionless variables. Resultant expressions are tackled by the OHAM technique. Features of numerous variables on entropy, temperature, velocity and concentration are graphically visualized. Skin friction and the temperature gradient at the surface are also elaborated. Comparative analysis is deliberated in tabulated form to validate the previously published outcomes. Velocity is reduced significantly via the suction parameter. The entropy rate increases for higher values of Brinkman, Biot and Hartmann numbers.

scholarly journals MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption

2020 ◽  
Vol 9 (1) ◽  
pp. 223-232 ◽  
Author(s):  
B.J. Gireesha ◽  
S. Sindhu
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Skin Friction ◽  
Interaction Parameter ◽  
Heat Generation ◽  
Velocity Slip ◽  
Casson Fluid ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Wall Interaction

AbstractThis study has been conducted to focus on natural convection flow of Casson fluid through an annular microchannel formed by two cylinders in the presence of magnetic field. The process of heat generation/absorption is taken into consideration. Combined effects of various parameters such as porous medium, velocity slip and temperature jump are considered. Solution of the present mathematical model is obtained numerically using fourth-fifth order Runge-Kutta-Fehlberg method. The flow velocity, thermal field, skin friction and Nusselt number are scrutinized with respect to the involved parameters of interest such as fluid wall interaction parameter, rarefaction parameter, Casson parameter and Darcy number with the aid of graphs. It is established that higher values of Casson parameter increases the skin friction coefficient. Further it is obtained that rate of heat transfer diminishes as fluid wall interaction parameter increases.

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.

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