scholarly journals Effects of Viscous and Joules Dissipation on MHD Flow, Heat and Mass Transfer past a Stretching Porous Surface Embedded in a Porous Medium

2009 ◽  
Vol 14 (3) ◽  
pp. 303-314 ◽  
Author(s):  
S. P. Anjali Devi ◽  
B. Ganga
Keyword(s):  
Porous Medium ◽  
Magnetic Parameter ◽  
Transverse Velocity ◽  
Longitudinal Velocity ◽  
Mhd Flow ◽  
Analytic Solutions ◽  
Skin Friction Coefficient ◽  
Porous Surface ◽  
Suction Parameter ◽  
Confluent Hypergeometric Functions

This paper investigates the influence of both viscous and joules dissipation on the problem of magnetohydrodynamic flow past a stretching porous surface embedded in a porous medium. Analytic solutions of the resulting nonlinear non-homogeneous boundary value problem in the case when the plate stretches with a velocity varying linearly with distance, expressed in terms of confluent hypergeometric functions, are presented for the case of prescribed surface temperature. Numerical calculations have been carried out for various values of suction parameter, magnetic field, Prandtl number, Eckert number and Schmidt number. The results show that increases in magnetic parameter decrease both the dimensionless transverse velocity, longitudinal velocity and also the skin friction coefficient. Also, formation of thin boundary layer is observed for higher value of magnetic parameter.

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.

scholarly journals MHD Flow of Micropolar Fluid via Porous Medium Within the Rotating Frame of Reference

2021 ◽  
Vol 8 (1) ◽  
pp. 25-32
Author(s):  
Sachidananda Sahoo ◽  
Kishore Kumar Prusty ◽  
Satyaranjan Mishra
Keyword(s):  
Porous Medium ◽  
Micropolar Fluid ◽  
Fluid Motion ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Rotating Frame ◽  
Fluid Concentration ◽  
Constant Suction ◽  
Flow Phenomena ◽  
First Order Chemical Reaction

The present study reveals the heat and mass transfer on the MHD flow of micropolar fluid in a porous medium within a rotating frame. In order to facilitate osillatory plate velocity with constant suction and first order chemical reaction has been considered. Using small perturbation approximation, the governing non-dimensional equations are solved. The influence of pertinent physical quantities on the flow phenomena have been presented graphically. The skin friction coefficient, wall couple stress, Nusselt and Sherwood number have also computed for different flow parameters and have presented in table. In the study, the applied magnetic field sets in to produce the resistive force i.e. the Lorentz force that resists the fluid motion throughout the domain. Attenuation in the Prandtl number is because of the slower thermal diffusivity resulted in a sharp reduction in the thermal boundary layer thickness. The retardation in the polar fluid concentration is greater in amount for the influence of heavier species.

scholarly journals EFFECT OF CHEMICAL REACTION ON MHD FLOW OF A VISCO-ELASTIC (WALTER'S LIQUID MODEL-B) FLUID THROUGH POROUS MEDIUM WITH HEAT SOURCE

2013 ◽  
Vol 8 (1) ◽  
pp. 721-729
Author(s):  
Ruchi Chaturvedi ◽  
Dr.R.K. Shrivatav ◽  
Dr.Mohd Salim Ahemad
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Chemical Reaction ◽  
Magnetic Parameter ◽  
Fluid Velocity ◽  
Mhd Flow ◽  
Vertical Axis ◽  
Reaction Parameter ◽  
Liquid Model ◽  
Chemical Reaction Parameter

In this paper we have studied and discussed the problem of unsteady flow of a visco-elastic (walter’s liquid model B) fluid through porous medium in presence of a heat source and a uniform magnetic field with effect of chemical reaction parameter. The effect of chemical reaction parameter g, porous parameter K and magnetic parameter on fluid velocity, temperature and concentration with respect to vertical axis Y and time t are discussed graphically.

On the Analytic Solution of Magnetohydrodynamic (MHD) Flow by a Moving Wedge in Porous Medium

2018 ◽  
Vol 389 ◽  
pp. 128-137 ◽  
Author(s):  
Hamza Berrehal ◽  
Abdelaziz Maougal ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Porous Medium ◽  
Nonlinear Boundary ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Governing Equations ◽  
Third Order ◽  
Moving Wedge ◽  
Optimal Homotopy Asymptotic Method ◽  
Layer Flow ◽  
Similarity Method

This paper is devoted to find analytic approximate solution by optimal homotopy asymptotic method (OHAM) for the problem of nonlinear boundary layer flow. Two-dimensional magneto-hydrodynamic (MHD) flow of a viscous fluid over a moving wedge in porous medium with suction/injection is investigated. Governing equations are transformed by similarity method into a third order Falkner-Skan equation and solved analytically using OHAM. This approach is highly efficient, ensuring a very rapid convergence of the solution only after one iteration. Graphical results are presented to discuss the effects of various parameters on velocity profiles. Further, the skin friction coefficient is also tabulated and compared with the corresponding results available in literature. Our results were found in an excellent agreement.

scholarly journals Thermal Radiation Interaction with Unsteady MHD Flow Past a Vertical Porous Plate Immersed in a Porous Medium

1970 ◽  
Vol 3 (1) ◽  
pp. 7-14 ◽  
Author(s):  
Md Abdus Samad ◽  
Mohammad Mansur-Rahman
Keyword(s):  
Porous Medium ◽  
Thermal Radiation ◽  
Porous Plate ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Time Dependent ◽  
Viscous Drag ◽  
Integration Scheme ◽  
Convection Flow ◽  
Similarity Parameter

A study of unsteady MHD free convection flow through a porous vertical flat plate immersed in a porous medium in presence of magnetic field with radiation has been analyzed. Introducing a time dependent suction to the plate, a similarity procedure has been adopted by taking a time dependent similarity parameter. In this analysis we consider a Darcy-Forchhemier model and the corresponding momentum and energy equations have been solved numerically, for cooling and heating of the plate by employing Nachtsheim-Swigert iteration technique along with the sixth order Runge-Kutta integration scheme. Non-dimensional velocity and temperature profiles are then presented graphically for different values of the parameter entering into the problem. During the process of numerical computations the skin-friction coefficient (viscous drag) and the rate of heat transfer (Nusselt number), which are of physical interest, are sorted out and presented in the form of tables. Keywords: Thermal radiation, MHD, Unsteady, Suction, Porous medium   DOI: 10.3329/jname.v3i1.924Journal of Naval Architecture and Marine Engineering 3(2006) 7-14

scholarly journals Magnetohydrodynamic Three Dimensional Flow and Heat Transfer Past a Vertical Porous Plate Through a Porous Medium with Periodic Suction

1970 ◽  
Vol 46 (4) ◽  
pp. 465-474 ◽  
Author(s):  
SS Das ◽  
M Mitra ◽  
PK Mishra
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Flow Field ◽  
Prandtl Number ◽  
Skin Friction ◽  
Magnetic Parameter ◽  
Three Dimensional ◽  
Three Dimensional Flow ◽  
Suction Parameter ◽  
Permeability Parameter

This paper analyzes the effect of magnetic field and the permeability of the medium on the three dimensional flow of a viscous incompressible electrically conducting fluid through a porous medium bounded by an infinite vertical porous plate in presence of periodic suction and a transverse magnetic field. The governing equations for the velocity and temperature of the flow field are solved employing perturbation technique and the effects of the pertinent parameters such as magnetic parameter (M), suction parameter (α), permeability parameter (Kp), Reynolds number (Re) and Prandtl number (Pr) on the velocity field, temperature field, skin friction and the rate of heat transfer are discussed with the help of figures and tables. It is observed that both magnetic parameter and the permeability parameter have accelerating effect on the velocity of the flow field. The effect of growing Prandtl number/suction parameter/ Reynolds number is to enhance the temperature of the flow field at all points while a growing magnetic parameter has retarding effect on the temperature field. The magnetic parameter increases the x-component of skin friction and reduces the magnitude of z-component of skin friction at the wall while the permeability parameter shows the reverse effect on both the components of skin friction. The rate of heat transfer at the wall grows as we increase the magnetic parameter or suction parameter or Prandtl number in the flow field and the effect reverses with the increase of the permeability parameter. Key words: MHD; Three dimensional flow; Heat transfer; Vertical plate; Porous medium; Periodic suction   DOI: http://dx.doi.org/10.3329/bjsir.v46i4.9593 BJSIR 2011; 46(4): 465-474

Unsteady MHD Flow of Radiating and Rotating Fluid with Hall Current and Thermal Diffusion Past a Moving Plate in a Porous Medium

2018 ◽  
Vol 389 ◽  
pp. 71-85
Author(s):  
Oluwole Daniel Makinde ◽  
Venkateswarlu Malapati ◽  
R.L. Monaledi
Keyword(s):  
Porous Medium ◽  
Hall Current ◽  
Chemical Species ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Fluid Temperature ◽  
Species Concentration ◽  
Moving Plate ◽  
Laplace Transform Technique ◽  
Layer Flow

The paper examines the combined effects of Hall current, buoyancy forces, thermal radiation, thermo-diffusion and fluid rotation on an unsteady hydromagmetic boundary layer flow with heat and mass transfer over an impulsively moving vertical plate embedded in a porous medium. Base on some realistic simplified assumptions, the governing equations of momentum, energy and chemical species concentration are obtained and tackled analytically using Laplace transform technique. The numerical values of primary and secondary fluid velocities, fluid temperature and species concentration are displayed graphically while those of skin friction coefficient, Nusselt number and Sherwood number are presented in tabular form for different values of pertinent flow parameters.

Chemical Reaction Effect on MHD Flow of Casson Fluid with Porous Stretching Sheet

2018 ◽  
Vol 389 ◽  
pp. 100-109 ◽  
Author(s):  
Y. Hari Krishna ◽  
Gurrampati Venkata Ramana Reddy ◽  
Oluwole Daniel Makinde
Keyword(s):  
Stretching Sheet ◽  
Fluid Velocity ◽  
Mhd Flow ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Governing Equations ◽  
Suction Parameter ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Local Sherwood Number

In this analysis, the magnetohydrodynamic flow of a Casson fluid over a permeable stretching sheet in the presence of mass transfer is studied. Using similarity transformations, the governing equations are converted to ordinary differential equations and then solved through MATHEMATICA. The skin friction coefficient and local Sherwood number are analyzed through numerical values for various parameters of interest. The velocity and concentration profiles are illustrated for several pertinent flow parameters. We observed that the Casson parameter and Hartman number have similar effects on the velocity in a qualitative sense. We further analyzed that the concentration profile decreases rapidly in comparison to the fluid velocity when we increased the values of the suction parameter.

scholarly journals MHD Flow of Nanofluid with Homogeneous-Heterogeneous Reactions in a Porous Medium under the Influence of Second-Order Velocity Slip

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 220 ◽  
Author(s):  
Fahd Almutairi ◽  
S.M. Khaled ◽  
Abdelhalim Ebaid
Keyword(s):  
Porous Medium ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Volume Fraction ◽  
Heterogeneous Reaction ◽  
Mhd Flow ◽  
Velocity Slip ◽  
Skin Friction Coefficient ◽  
Second Order ◽  
Heterogeneous Reactions

The influence of second-order velocity slip on the MHD flow of nanofluid in a porous medium under the effects of homogeneous-heterogeneous reactions has been analyzed. The governing flow equation is exactly solved and compared with those in the literature for the skin friction coefficient in the absence of the second slip, where great differences have been observed. In addition, the effects of the permanent parameters on the skin friction coefficient, the velocity, and the concentration have been discussed in the presence of the second slip. As an important result, the behavior of the skin friction coefficient at various values of the porosity and volume fraction is changed from increasing (in the absence of the second slip) to decreasing (in the presence of the second slip), which confirms the importance of the second slip in modeling the boundary layer flow of nanofluids. In addition, five kinds of nanofluids have been investigated for the velocity profiles and it is found that the Ag-water nanofluid is the lowest. For only the heterogeneous reaction, the concentration equation has been exactly solved, while the numerical solution is applied in the general case. Accordingly, a reduction in the concentration occurs with the strengthening of the heterogenous reaction and also with the increase in the Schmidt parameter. Moreover, the Ag-water nanofluid is of lower concentration than the Cu-water nanofluid. This is also true for the general case, when both of the homogenous and heterogenous reactions take place.

Impact of oblique magnetic viscous dissipative transport on chemically reactive micro-rotations submerged in porous medium

2018 ◽  
Vol 96 (12) ◽  
pp. 1349-1358
Author(s):  
Zaffar Mehmood ◽  
Z. Iqbal ◽  
E.N. Maraj ◽  
Ehtsham Azhar
Keyword(s):  
Porous Medium ◽  
Nusselt Number ◽  
Friction Coefficient ◽  
Thermal Convection ◽  
Magnetic Parameter ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Viscoplastic Fluid ◽  
Medium Porosity ◽  
Weak Concentration

The present communication aims to investigate the influence of inclined magnetic field and Joule heating phenomenon in the presence of chemical reaction on micro-rotation of particles suspended in a viscoplastic fluid submerged in a porous medium. Casson fluid is considered as a viscoplastic fluid. Governing physical problem modeling and formulation is performed in the Cartesian coordinate system. A system of partial differential equations is reduced to a system of ordinary differential equations by means of suitable transformation. Nonlinear coupled system is solved numerically with the help of a shooting algorithm. Numerical investigation is carried out for strong and weak concentrations at the boundary. Emerging parameters’ effects on fluid micro-rotation velocities and temperature distribution are displayed and analyzed through graphs for strong and weak concentrations. Further, numerical values of skin friction coefficient and Nusselt number are tabulated for pertinent parameters. From the present analysis it is concluded that fluid decelerates with an increase in Casson fluid parameter, medium porosity, magnetic parameter, and inclination angle in both cases of strong concentration as well as weak concentration while it accelerates with the increase in micropolar parameter and Eckert number. Micro-rotation velocity seems to accelerate at the vicinity of stretching surface for β, K, γ, M, and Γ while it decelerates with the increase in Ec. Temperature rises with the increase in Eckert number, Biot number, inclination angle, magnetic parameter, and thermal convection parameter for strong and weak concentration. Skin friction coefficient increases with an increase in micropolar parameter, magnetic parameter, and medium porosity whereas it decreases with an increase in Casson fluid and thermal convection parameters. Nusselt number magnitude rises with an increase in K, Pr, and Bi, while it lessens with an increase in M, Ec, and γ.

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