MHD and Double Diffusion Effects on Heat and Mass Transfer in Non-Darcy Fluid Flows Over a Vertical Plate

2012 ◽  
Author(s):  
A. S. N. Murti ◽  
P. K. Kameswaran ◽  
T. Poorna Kantha ◽  
A. A. V. L. A. S. Acharyulu
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Vertical Plate ◽  
Fluid Flows ◽  
Double Diffusion ◽  
Integration Scheme ◽  
Physical Parameters ◽  
Transfer Rates ◽  
Linear Partial Differential Equations ◽  
Diffusion Effects

In the present paper we investigate double diffusion effects on mixed convective heat and mass transfer over a Newtonian vertical plate. Diffusion and chemical reaction terms are considered in the energy and concentration equations. A similarity transformation was used to convert governing non linear partial differential equations into ordinary. The dimensionless governing equations are solved numerically by using fourth-order Runge–Kutta integration scheme along with shooting technique. Detailed results for various physical parameters like velocity, temperature and concentration fields as well as the heat and mass transfer rates have been presented. In the absence of Magnetic and double diffusion effects our results are good in agreement with the results in the literature.

Nonlinear Computational Treatment for Couple Stress Fluid Flow with Cattaneo-Christov Double Diffusion and Homogeneous-Heterogeneous Reactions

2018 ◽  
Vol 17 (1) ◽  
Author(s):  
Tasawar Hayat ◽  
Tayyaba Ayub ◽  
Taseer Muhammad ◽  
Bashir Ahmad
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Couple Stress ◽  
Three Dimensional ◽  
Double Diffusion ◽  
Convergent Series ◽  
Heterogeneous Reactions ◽  
Optimal Homotopy Analysis Method ◽  
Transfer Rates

Abstract This paper addresses three-dimensional (3D) flow of couple stress material with Cattaneo-Christov double diffusion and homogeneous-heterogeneous reactions. A linear bi-directional stretchable surface is used to generate the flow. Thermal and concentration diffusions are considered by introducing Cattaneo-Christov heat and mass fluxes. Equal diffusion coefficients are considered for both auto catalyst and reactants. Boundary layer approach is used to simplify the governing system of partial differential equations. Suitable relations are used to nondimensionalize the boundary layer expressions. The valid convergent series solution are established by means of optimal homotopy analysis method (OHAM). The role of various pertinent parameters on the solutions are investigated through graphs. Moreover skin friction coefficients and heat and mass transfer rates are computed and analyzed. It is observed that heat and mass transfer rates are higher for larger thermal and concentration relaxation parameters.

scholarly journals Similarity Solutions for Hydromagnetic Free Convective Heat and Mass Transfer Flow along a Semi-Infinite Permeable Inclined Flat Plate with Heat Generation and Thermophoresis

2007 ◽  
Vol 12 (4) ◽  
pp. 433-445 ◽  
Author(s):  
M. S. Alam ◽  
M. M. Rahman ◽  
M. A. Sattar
Keyword(s):  
Mass Transfer ◽  
Flat Plate ◽  
Heat And Mass Transfer ◽  
Heat Generation ◽  
Particle Deposition ◽  
Skin Friction Coefficient ◽  
Similarity Solutions ◽  
Integration Scheme ◽  
Linear Partial Differential Equations ◽  
Transfer Flow

The problem of steady, two-dimensional, laminar, hydromagnetic flow with heat and mass transfer over a semi-infinite, permeable inclined flat plate in the presence of thermophoresis and heat generation is studied numerically. A similarity transformation is used to reduce the governing non-linear partial differential equations into ordinary ones. The obtained locally similar equations are then solved numerically by applying Nachtsheim-Swigert shooting iteration technique with sixth-order Runge-Kutta integration scheme. Comparisons with previously published work are performed and the results are found to be in very good agreement. Numerical results for the dimensionless velocity, temperature and concentration profiles as well as for the skin-friction coefficient, wall heat transfer and particle deposition rate are obtained and reported graphically for various values of the parameters entering into the problem.

scholarly journals MHD Peristaltic Transport of Bingham Blood Fluid with Heat and Mass Transfer Through a Non-Uniform Channel

2020 ◽  
Vol 77 (2) ◽  
pp. 145-159
Author(s):  
Nabil Tawfik Eldabe ◽  
Mohamed Abouzeid ◽  
Hamida A Shawky
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Perturbation Technique ◽  
Physical Parameters ◽  
Soret And Dufour Effects ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Uniform Channel ◽  
Homotopy Perturbation Technique

In the present work, the flow of non-Newtonian Bingham blood fluid through non-uniform channel is investigated. The fluid is electrically conducting, and the external uniform magnetic field is applied on this motion. The heat and mass transfer are taken in consideration, so, Soret and Dufour effects are studied. The problem is modulated mathematically by a system of non-linear partial differential equations which govern the velocity, temperature and concentration distributions. The system of these equations is simplified under the assumptions of long wavelength and low Reynolds number, then it is solved analytically by using homotopy perturbation technique. These distributions are obtained as a function of the physical parameters of the problem. The effects of these parameters on the obtained solutions are discussed numerically and illustrated graphically through a set of figures. These parameters play an important role to control the values of solutions. The used Bingham model is applicable for the physiological transportation of blood in arteries.

scholarly journals MHD Heat and Mass Transfer of Chemical Reaction Fluid Flow over a Moving Vertical Plate in Presence of Heat Source with Convective Surface Boundary Condition

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
B. R. Rout ◽  
S. K. Parida ◽  
S. Panda
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Boundary Condition ◽  
Heat Source ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Internal Heat ◽  
Integration Scheme ◽  
Physical Parameters ◽  
Surface Boundary

This paper aims to investigate the influence of chemical reaction and the combined effects of internal heat generation and a convective boundary condition on the laminar boundary layer MHD heat and mass transfer flow over a moving vertical flat plate. The lower surface of the plate is in contact with a hot fluid while the stream of cold fluid flows over the upper surface with heat source and chemical reaction. The basic equations governing the flow, heat transfer, and concentration are reduced to a set of ordinary differential equations by using appropriate transformation for variables and solved numerically by Runge-Kutta fourth-order integration scheme in association with shooting method. The effects of physical parameters on the velocity, temperature, and concentration profiles are illustrated graphically. A table recording the values of skin friction, heat transfer, and mass transfer at the plate is also presented. The discussion focuses on the physical interpretation of the results as well as their comparison with previous studies which shows good agreement as a special case of the problem.

scholarly journals Three Dimensional Magnetohydrodynamic Stretched Flow of Cross Nanofluids

2020 ◽  
Vol 89 (1-4) ◽  
pp. 28-35
Author(s):  
Ashok Misra ◽  
Soumyendra Mishra ◽  
Abdul Kaffoor Abdul Hakeem ◽  
Manoj Kumar Nayak
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Transverse Velocity ◽  
Three Dimensional ◽  
Viscous Drag ◽  
Integration Scheme ◽  
Solid Boundary ◽  
Physical Parameters ◽  
The Impact

The purpose of the present study is to analyze the flow, heat and mass transfer characteristics in the three dimensional magnetohydrodynamic stretched flow of Cross nanofluids. In the present study, Brownian movement, thermophoresis, thermal and solute convective boundary conditions are considered. With boundary layer approximation and self-similarity transformations, the non dimensional nonlinear governing equations are solved via shooting iteration technique together with 4th order Runge-Kutta integration scheme. The impact of developed physical parameters on velocity, temperature, concentration, surface viscous drag, heat and mass transfer rates has been examined via appropriate graphs and discussions. The numerical results indicate that uplift in the magnetic field strength and Weissenberg number diminishes the axial and transverse velocity fields. Further, the temperature ratio parameter brings about substantial improvement to the temperature and the related layer. The outcomes of the present study provide significant contribution to the controlled fluid motion and regulating the rate of heat transportation from the solid boundary into the boundary layer.

scholarly journals The motion of a non-Newtonian nanofluid over a semi-infinite moving vertical plate through porous medium with heat and mass transfer

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1311-1321
Author(s):  
Nabil El-Dabe ◽  
Mahmoud Gabr ◽  
Abd-Elhafez Elshekhipy ◽  
Sameh Zaher
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Uniform Magnetic Field ◽  
Vertical Plate ◽  
Hartmann Number ◽  
Physical Parameters ◽  
Material Parameters ◽  
External Cooling ◽  
External Uniform Magnetic Field

The motion of a non-Newtonian nanofluid over a semi-infinite moving vertical plate through porous medium stressed by an external uniform magnetic field with heat and mass transfer is investigated. The fluid under consideration obeys Eyring-Powell model. The effects of the physical parameters of the problem such as, permeability, chemical reaction as well as the fluid material parameters such as Hartmann number, Eckert number, and Reynolds number are discussed. The effects of external cooling (Gr > 0) of the plate by the free convection are considered. Graphical results are presented to highlight effects of various emerging parameters on velocity, temperature and concentration profiles.

Soret and Dufour Effects on MHD Mixed Convection Flow over a Vertical Plate with Variable Fluid Properties

2018 ◽  
Vol 389 ◽  
pp. 1-17
Author(s):  
R. Suresh Babu ◽  
B. Rushi Kumar ◽  
P.A. Dinesh
Keyword(s):  
Mass Transfer ◽  
Fluid Flow ◽  
Numerical Computation ◽  
Heat And Mass Transfer ◽  
Vertical Plate ◽  
Convection Flow ◽  
Physical Parameters ◽  
Numerical Comparison ◽  
Variable Fluid Properties ◽  
Fluid Properties

A numerical computation has been carried out, to investigate the effects of Soret and Dufour numbers on mixed convective heat and mass transfer flow for a steady, two dimensional, incompressible, electrically conducting viscous fluid flow over a semi-infinite vertical plate in a saturated porous medium under the influence of magnetic field (Lorentz force) with variable fluid properties. The physical governing equations for the fluid flow represents in the nonlinear PDE's regime, which are reduced into a system of ODE's using similarity transformation. The numerical computation of shooting technique is adopted to analyze the nature of "velocity, temperature, concentration fields, skin friction, heat and mass transfer coefficients" graphically for uniform permeability (UP) as well as variable permeability (VP) and illustrated for various non-dimensional parameters of the physical model. The results of the numerical scheme are validated and a numerical comparison has been done for a particular case with the available literature in the absence of few physical parameters and found that in good agreement.

Unsteady MHD Free Convective Heat and Mass Transfer Flow Past a Vertical Porous Plate in the Presence of Radiation and Chemical Reaction

2017 ◽  
Vol 6 (10) ◽  
pp. 116
Author(s):  
J. Buggaramulu ◽  
M. Venkatakrishna ◽  
Y. Harikrishna
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Convective Heat ◽  
Chemical Reaction ◽  
Porous Plate ◽  
Physical Parameters ◽  
Governing Equations ◽  
Vertical Porous Plate ◽  
Flow Past ◽  
Transfer Flow

The objective of this paper is to analyze an unsteady MHD free convective heat and mass transfer boundary flow past a semi-infinite vertical porous plate immersed in a porous medium with radiation and chemical reaction. The governing equations of the flow field are solved numerical a two term perturbation method. The effects of the various parameters on the velocity, temperature and concentration profiles are presented graphically and values of skin-frication coefficient, Nusselt number and Sherwood number for various values of physical parameters are presented through tables.

scholarly journals Effects of Variable Transport Properties on Heat and Mass Transfer in MHD Bioconvective Nanofluid Rheology with Gyrotactic Microorganisms: Numerical Approach

Coatings ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 231
Author(s):  
Muhammad Awais ◽  
Saeed Ehsan Awan ◽  
Muhammad Asif Zahoor Raja ◽  
Nabeela Parveen ◽  
Wasim Ullah Khan ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Transport Properties ◽  
Heat And Mass Transfer ◽  
Group Analysis ◽  
Numerical Approach ◽  
Validity Of Results ◽  
Gyrotactic Microorganisms ◽  
Transfer Rates ◽  
Buongiorno’S Model ◽  
Density Distributions

Rheology of MHD bioconvective nanofluid containing motile microorganisms is inspected numerically in order to analyze heat and mass transfer characteristics. Bioconvection is implemented by combined effects of magnetic field and buoyancy force. Gyrotactic microorganisms enhance the heat and transfer as well as perk up the nanomaterials’ stability. Variable transport properties along with assisting and opposing flow situations are taken into account. The significant influences of thermophoresis and Brownian motion have also been taken by employing Buongiorno’s model of nanofluid. Lie group analysis approach is utilized in order to compute the absolute invariants for the system of differential equations, which are solved numerically using Adams-Bashforth technique. Validity of results is confirmed by performing error analysis. Graphical and numerical illustrations are prepared in order to get the physical insight of the considered analysis. It is observed that for controlling parameters corresponding to variable transport properties c2, c4, c6, and c8, the velocity, temperature, concentration, and bioconvection density distributions accelerates, respectively. While heat and mass transfer rates increases for convection parameter and bioconvection Rayleigh number, respectively.

Sign in / Sign up

Export Citation Format

Share Document