scholarly journals MHD Flow of a Micropolar Fluid past a Stretched Permeable Surface with Heat Generation or Absorption

2009 ◽  
Vol 14 (1) ◽  
pp. 27-40 ◽  
Author(s):  
M.-E. M. Khedr ◽  
A. J. Chamkha ◽  
M. Bayomi
Keyword(s):  
Differential Equations ◽  
Heat Generation ◽  
Micropolar Fluid ◽  
Radiation Effects ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Permeable Surface ◽  
Physical Parameters ◽  
Special Cases ◽  
Heat Generation Or Absorption

This work considers steady, laminar, MHD flow of a micropolar fluid past a stretched semi-infinite, vertical and permeable surface in the presence of temperature dependent heat generation or absorption, magnetic field and thermal radiation effects. A set of similarity parameters is employed to convert the governing partial differential equations into ordinary differential equations. The obtained self-similar equations are solved numerically by an efficient implicit, iterative, finite-difference method. The obtained results are checked against previously published work for special cases of the problem in order to access the accuarcy of the numerical method and found to be in excellent agreement. A parametric study illustrating the influence of the various physical parameters on the skin friction coefficient, microrotaion coefficient or wall couple stress as well as the wall heat transfer coefficient or Nusselt number is conducted. The obtained results are presented graphically and in tabular form and the physical aspects of the problem are discussed.

scholarly journals Analysis of a Chemically Reactive Mhd Flow With Heat and Mass Transfer Over a Permeable Surface

2019 ◽  
Vol 24 (1) ◽  
pp. 53-66
Author(s):  
O.J. Fenuga ◽  
S.J. Aroloye ◽  
A.O. Popoola
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Permeable Surface ◽  
Physical Parameters ◽  
Boundary Layer Equations ◽  
Special Cases ◽  
Momentum Boundary Layer

Abstract This paper investigates a chemically reactive Magnetohydrodynamics fluid flow with heat and mass transfer over a permeable surface taking into consideration the buoyancy force, injection/suction, heat source/sink and thermal radiation. The governing momentum, energy and concentration balance equations are transformed into a set of ordinary differential equations by method of similarity transformation and solved numerically by Runge- Kutta method based on Shooting technique. The influence of various pertinent parameters on the velocity, temperature, concentration fields are discussed graphically. Comparison of this work with previously published works on special cases of the problem was carried out and the results are in excellent agreement. Results also show that the thermo physical parameters in the momentum boundary layer equations increase the skin friction coefficient but decrease the momentum boundary layer. Fluid suction/injection and Prandtl number increase the rate of heat transfer. The order of chemical reaction is quite significant and there is a faster rate of mass transfer when the reaction rate and Schmidt number are increased.

Heat Transfer Analysis on Axisymmetric Mhd Flow of a Micropolar Fluid Between the Radially Stretching Sheets

2011 ◽  
Vol 27 (4) ◽  
pp. 607-617 ◽  
Author(s):  
T. Hayat ◽  
M. Nawaz ◽  
A. A. Hendi
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Micropolar Fluid ◽  
Axisymmetric Flow ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Heat Transfer Analysis ◽  
Physical Parameters ◽  
Local Skin ◽  
Homotopy Analysis

ABSTRACTThe effect of heat transfer on the axisymmetric flow of MHD micropolar fluid between two radially stretching sheets is described. The governing partial differential equations are reduced into the ordinary differential equations by using transformations. The resulting problems are solved by homotopy analysis method (HAM). Dimensionless velocities and temperature are plotted for the variation of influential parameters. The local skin friction coefficient, local couple stress coefficient and Nusselt number are tabulated with respect to the influence of several physical parameters.

MHD flow, under the kinetic postulate, of fluids that are initially liquid under thermal radiation effects

2019 ◽  
Vol 97 (6) ◽  
pp. 579-587
Author(s):  
Azad Hussain ◽  
Zainia Muneer ◽  
M.Y. Malik ◽  
Saadia Ghafoor
Keyword(s):  
Nusselt Number ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Radiation Effects ◽  
Shooting Method ◽  
Porous Plate ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Runge Kutta Method

The present study focuses on the non-Newtonian magnetohydrodynamic flow, under the kinetic postulate, of fluids that are initially liquid past a porous plate in the appearance of thermal radiation effects. Resemblance transfigurations are used to metamorphose the governing equations for temperature and velocity into a system of ordinary differential equations. We then solved these differential equations subject to convenient boundary conditions by using the shooting method along with the Runge–Kutta method. Heat transfer and characteristic flow results are acquired for different compositions of physical parameters. These results are extended graphically to demonstrate interesting attributes of the physics of the problem. Nusselt number and skin friction coefficients are also discussed via graphs and tables for different values of dimensionless parameters. Decline occurs in velocity profile due to escalating values of M. Temperature profile depicts growing behavior due to acceleration in the values of λ and M. Nusselt number and skin friction curves represent rising behavior according to their parameters.

scholarly journals Hall Current and Thermal Radiation Effects on Heat and Mass Transfer of Unsteady MHD Flow of a Viscoelastic Micropolar Fluid through a Porous Medium

2020 ◽  
Vol 68 (1) ◽  
pp. 1-10
Author(s):  
Lavanya
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Thermal Radiation ◽  
Micropolar Fluid ◽  
Radiation Effects ◽  
Hall Current ◽  
Perturbation Technique ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Governing Equations

The present paper is concerned to analyze the effect of hall current on heat and thermal radiation and mass transfer of unsteady MHD flow of a viscoelastic micropolar fluid through a porous medium with chemical reaction. The governing partial differential equations are transformed to dimensionless equations using dimensionless variables. The dimensionless governing equations are then solved analytically using perturbation technique. The effects of various governing parameters on the velocity, temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood number are shown in figures and tables and analyzed in detail.

Soret and dufour effects on MHD mixed convection heat and mass transfer in a micropolar fluid

2013 ◽  
Vol 3 (4) ◽  
Author(s):  
Darbhasayanam Srinivasacharya ◽  
Mendu Upendar
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Micropolar Fluid ◽  
Nonlinear Partial Differential Equations ◽  
Skin Friction Coefficient ◽  
Soret And Dufour Effects ◽  
Similarity Transformations ◽  
Special Cases

AbstractThis paper analyzes the flow, heat and mass transfer characteristics of the mixed convection on a vertical plate in a micropolar fluid in the presence of Soret and Dufour effects. A uniform magnetic field of magnitude is applied normal to the plate. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then solved numerically using the Keller-box method. The numerical results are compared and found to be in good agreement with previously published results as special cases of the present investigation. The rate of heat and mass transfer at the plate are presented graphically for various values of coupling number, magnetic parameter, Prandtl number, Schmidt number, Dufour and Soret numbers. In addition, the skin-friction coefficient, the wall couple stress are shown in a tabular form.

MHD Flow of a Jeffrey Fluid with Newtonian Heating

2015 ◽  
Vol 31 (3) ◽  
pp. 319-329 ◽  
Author(s):  
M. Farooq ◽  
N. Gull ◽  
A. Alsaedi ◽  
T. Hayat
Keyword(s):  
Differential Equations ◽  
Mhd Flow ◽  
Convergent Series ◽  
Skin Friction Coefficient ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Temperature Profiles ◽  
Linear Boundary ◽  
Newtonian Heating ◽  
Source Sink

ABSTRACTThe combined effects of Joule and Newtonian heating in magnetohydrodynamic (MHD) flow of Jeffrey fluid over a stretching cylinder with heat source/sink are addressed. Suitable transformations are considered to reduce the non-linear boundary layer partial differential equations into the ordinary differential equations. Convergent series solutions of the resulting dimensionless problems are obtained. Effects of emerging physical parameters on the velocity and temperature profiles are examined. Comparison between viscous and Jeffrey fluids for different cases of flat plate and cylinder is made. Numerical values of skin friction coefficient and local Nusselt number are tabulated and analyzed for different values of emerging parameters.

Double Stratification in Flow by Curved Stretching Sheet With Thermal Radiation and Joule Heating

2017 ◽  
Vol 10 (2) ◽  
Author(s):  
Tasawar Hayat ◽  
Sumaira Qayyum ◽  
Maria Imtiaz ◽  
Ahmed Alsaedi
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Joule Heating ◽  
Radiation Effects ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Curvilinear Coordinates ◽  
Double Stratification ◽  
Curvature Parameter ◽  
Basic Equations

Magnetohydrodynamic (MHD) flow of viscous fluid by curved stretching surface is presented in this paper. Heat and mass transfer analysis is studied with double stratification and thermal radiation effects. Joule heating is also taken into consideration. Basic equations of flow problem are obtained using curvilinear coordinates. The partial differential equations are reduced to the nonlinear ordinary differential equations using suitable transformations. Graphical results are shown and analyzed for the effect of different parameters on fluid characteristics. It is noted that thermal and solutal stratification parameters have opposite effect on temperature and concentration distributions. Magnitude of pressure, skin friction coefficient, and Nusselt number decreases for larger curvature parameter.

scholarly journals Effects of Non-Uniform Heat Generation/Absorption and Radiation on Hydromagnetic Dissipative Flow over a Porous Nonlinear Stretching Surface with Heat and Mass Fluxes

2019 ◽  
Vol 24 (4) ◽  
pp. 36-52
Author(s):  
S.P. Anjali Devi ◽  
M. Agneeshwari
Keyword(s):  
Differential Equations ◽  
Heat Generation ◽  
Nonlinear Partial Differential Equations ◽  
Skin Friction Coefficient ◽  
Iteration Scheme ◽  
Published Data ◽  
Physical Parameters ◽  
Similarity Transformations ◽  
Uniform Heat ◽  
Nonlinear Stretching

Abstract Forced convective heat and mass transfer flow of hydromagnetic, radiating and dissipative fluid over a porous nonlinear stretching sheet in the presence of non-uniform heat generation/absorption is investigated numerically. The system of nonlinear partial differential equations governing the physical problem is reduced to nonlinear ordinary differential equations by means of suitable similarity transformations and are solved numerically using Nachtsheim Swigert shooting iteration scheme together with fourth order Runge Kutta method. The effects of various physical parameters on velocity, temperature and concentration distributions are depicted graphically. The important findings of this study exhibited that the effect of non-uniform heat generation/absorption parameter and radiation parameter have significant role in controlling thermal boundary layer thickness and temperature. Numerical values of the skin friction coefficient, temperature and concentration at the wall are shown in a tabular form. A comparison is made with previously published data which results in good agreement.

scholarly journals The Effects of MHD Flow and Heat Transfer for the UCM Fluid over a Stretching Surface in Presence of Thermal Radiation

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
M. Subhas Abel ◽  
Jagadish V. Tawade ◽  
Jyoti N. Shinde
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Mhd Flow ◽  
Maxwell Fluid ◽  
Skin Friction Coefficient ◽  
Temperature Fields ◽  
Physical Parameters ◽  
Flow And Heat Transfer ◽  
Ucm Fluid

An analysis is performed to investigate the effect of MHD and thermal radiation on the two-dimensional steady flow of an incompressible, upper-convected Maxwells (UCM) fluid in presence of external magnetic field. The governing system of partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and is solved numerically by efficient shooting technique. Velocity and temperature fields have been computed and shown graphically for various values of physical parameters. For a Maxwell fluid, a thinning of the boundary layer and a drop in wall skin friction coefficient is predicted to occur for the higher elastic number which agrees with the results of Hayat et al. 2007 and Sadeghy et al. 2006. The objective of the present work is to investigate the effect of elastic parameterβ, magnetic parameterMn, Eckert numberEc, Radiation parameterN,and Prandtl numberPron flow and heat transfer charecteristics.

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