Analysis of Magnetohydrodynamic (MHD) Nanofluid Flow with Heat and Mass Transfer Over a Porous Stretching Sheet

AbstractThis work investigates a three-dimensional Magnetohydrodynamic (MHD) nanofluid flow with heat and mass transfer over a porous stretching sheet. Firstly, partial differential equations are transformed into coupled non-linear ordinary differential equations through a similarity variables transformation and solved by Galerkin Finite Element Methods (FEM). The effects of thermal radiation, viscous dissipation and chemical reaction on the fluid flow are considered. The behaviour and properties of pertinent flow parameters on the velocity, temperature and concentration profiles are presented and discussed graphically. The effects of the friction coefficient parameter, Nusselt and Sherhood numbers are also shown and considered using tables. The work is in good agreement in comparison with the recent work in literature.

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Numerical investigation of three-dimensional nanofluid flow with heat and mass transfer on a nonlinearly stretching sheet using the barycentric functions

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-03-2020-0135 ◽

2020 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Soraya Torkaman ◽

Ghasem Barid Loghmani ◽

Mohammad Heydari ◽

Abdul-Majid Wazwaz

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Stretching Sheet ◽

Volume Fraction ◽

Three Dimensional ◽

Operational Matrices ◽

Nanofluid Flow ◽

Content Type ◽

Nonlinearly Stretching Sheet

Purpose The purpose of this paper is to investigate a three-dimensional boundary layer flow with considering heat and mass transfer on a nonlinearly stretching sheet by using a novel operational-matrix-based method. Design/methodology/approach The partial differential equations that governing the problem are converted into the system of nonlinear ordinary differential equations (ODEs) with considering suitable similarity transformations. A direct numerical method based on the operational matrices of integration and product for the linear barycentric rational basic functions is used to solve the nonlinear system of ODEs. Findings Graphical and tabular results are provided to illustrate the effect of various parameters involved in the problem on the velocity profiles, temperature distribution, nanoparticle volume fraction, Nusselt and Sherwood number and skin friction coefficient. Comparison between the obtained results, numerical results based on the Maple's dsolve (type = numeric) command and previous existing results affirms the efficiency and accuracy of the proposed method. Originality/value The motivation of the present study is to provide an effective computational method based on the operational matrices of the barycentric cardinal functions for solving the problem of three-dimensional nanofluid flow with heat and mass transfer. The convergence analysis of the presented scheme is discussed. The benefit of the proposed method (PM) is that, without using any collocation points, the governing equations are converted to the system of algebraic equations.

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A new algorithm for internal heat generation in nanofluid flow due to a stretching sheet in a porous medium

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-10-2012-0224 ◽

2014 ◽

Vol 24 (5) ◽

pp. 1020-1043 ◽

Cited By ~ 8

Author(s):

P.K. Kameswaran ◽

Z.G. Makukula ◽

P. Sibanda ◽

S.S. Motsa ◽

P.V.S.N. Murthy

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Exact Solutions ◽

Heat And Mass Transfer ◽

Hypergeometric Series ◽

Stretching Sheet ◽

Internal Heat ◽

Internal Heat Generation ◽

Nanofluid Flow ◽

Content Type

Purpose – The purpose of this paper is to study heat and mass transfer in copper-water and silver-water nanofluid flow over stretching sheet placed in saturated porous medium with internal heat generation or absorption. The authors further introduce a new algorithm for solving heat transfer problems in fluid mechanics. The model used for the nanofluid incorporates the nanoparticle volume fraction parameter and a consideration of the chemical reaction effects among other features. Design/methodology/approach – The partial differential equations for heat and mass transfer in copper-water and silver-water nanofluid flow over stretching sheet were transformed into a system of nonlinear ordinary differential equations. Exact solutions for the boundary layer equations were obtained in terms of a confluent hypergeometric series. A novel spectral relaxation method (SRM) is used to obtain numerical approximations of the governing differential equations. The exact solutions are used to test the convergence and accuracy of the SRM. Findings – Results were obtained for the fluid properties as well as the skin friction, and the heat and mass transfer rates. The results are compared with limiting cases from previous studies and they show that the proposed technique is an efficient numerical algorithm with assured convergence that serves as an alternative to numerical methods for solving nonlinear boundary value problems. Originality/value – A new algorithm is used for the first time in this paper. In addition, new exact solutions for the energy and mass transport equations have been obtained in terms of a confluent hypergeometric series.

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Viscous Dissipation and Suction characteristics of Heat and Mass Transfer past a Stretching Sheet.

Turkish Journal of Computer and Mathematics Education (TURCOMAT) ◽

10.17762/turcomat.v12i1s.1948 ◽

2021 ◽

Vol 12 (1S) ◽

pp. 623-630

Author(s):

AlfunsaPrathiba, Et. al.

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Viscous Dissipation ◽

Schmidt Number ◽

Stretching Sheet ◽

Mhd Flow ◽

Skin Friction Coefficient ◽

Linear Ordinary Differential Equations ◽

Similarity Transformations

in this paper, we analyzed the effect of a suction and Soret number on heat and mass transfer Magneto Hydrodynamics (MHD) flow past an exponentially stretching sheet with the heat source/sink. Appropriate similarity transformations were employed to convert the governing partial differential equations to a set of highly non-linear ordinary differential equations, which was then solved numerically by Runga kutta sixth order method together with shooting technique. The Numerical results are obtained for the skin friction coefficient, Nusselt and Sherwood numbers for selected values of the governing parameters, such as the suction, magnetic field parameter , viscous dissipation parameter , heat generation parameter , Schmidt number , and the chemical reaction rate parameter . Besides, it is obtained that the concentration profile decreases with an increment of the Schmidt number. A comparison was made with a previous study available in the literature and we found that it is in a good agreement.

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Heat and Mass Transfer of Thermophoretic MHD Flow of Powell–Eyring Fluid over a Vertical Stretching Sheet in the Presence of Chemical Reaction and Joule Heating

International Journal of Chemical Reactor Engineering ◽

10.1515/ijcre-2014-0090 ◽

2015 ◽

Vol 13 (1) ◽

pp. 37-49 ◽

Cited By ~ 18

Author(s):

Najeeb Alam Khan ◽

Faqiha Sultan ◽

Nadeem Alam Khan

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Chemical Reaction ◽

Joule Heating ◽

Stretching Sheet ◽

Mhd Flow ◽

Radiation Chemical ◽

Linear Ordinary Differential Equations ◽

Non Linear

Abstract The present paper deals with the effect of surface heat and mass transfer on magnetohydrodynamic flow of Powell–Eyring fluid over a vertical stretching sheet. The effects of thermophoresis, Joule heating and chemical reaction are also considered. The governing non-linear partial differential equations of the model are transformed into coupled non-linear ordinary differential equations using a similarity transformation and solved numerically by Runge–Kutta method and analytically by homotopy analysis method (HAM). The convergence is carefully checked by plotting $$\hbar $$-curves. For different dimensionless parameters, numerical and analytical calculations are carried out and an investigation of the obtained results shows that the flow field is influenced considerably by the buoyancy ratio and thermal radiation, chemical reaction and magnetic field parameters. A totally analytical and consistently applicable solution is derived which agrees with numerical results.

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g-Jitter Induced Mixed Convection Flow of Heat and Mass Transfer Past an Inclined Stretching Sheet

Jurnal Teknologi ◽

10.11113/jt.v71.3611 ◽

2014 ◽

Vol 71 (1) ◽

Cited By ~ 1

Author(s):

Noraihan Afiqah Rawi ◽

Abdul Rahman Mohd Kasim ◽

Mukheta Isa ◽

Sharidan Shafie

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Mixed Convection ◽

Heat And Mass Transfer ◽

Stretching Sheet ◽

Convection Flow ◽

Convection Boundary Layer ◽

Keller Box Method ◽

Unsteady Mixed Convection ◽

Layer Flow

This paper studies unsteady mixed convection boundary layer flow of heat and mass transfer past an inclined stretching sheet associated with the effect of periodical gravity modulation or g-jitter. The temperature and concentration are assumed to vary linearly with x, where x is the distance along the plate. The governing partial differential equations are transformed to a set of coupled ordinary differential equations using non-similarity transformation and solved numerically by Keller-box method. Numerical results for velocity, temperature and concentration profiles as well as skin friction, Nusselt number and Sherwood number are presented and analyzed for different values of inclination angle parameter.

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Heat and Mass Transfer during Drying of Clay Ceramic Materials: A Three-Dimensional Analytical Study

Diffusion Foundations ◽

10.4028/www.scientific.net/df.10.93 ◽

2017 ◽

Vol 10 ◽

pp. 93-106 ◽

Cited By ~ 6

Author(s):

M.K. Teixeira de Brito ◽

D.B. Teixeira de Almeida ◽

A.G. Barbosa de Lima ◽

L. Almeida Rocha ◽

E. Santana de Lima ◽

...

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Analytical Study ◽

Separation Of Variables ◽

Three Dimensional ◽

Ceramic Materials ◽

Governing Equations ◽

Convective Boundary ◽

Good Agreement

This work aims to study heat and mass transfer in solids with parallelepiped shape with particular reference to drying process. A transient three-dimensional mathematical model based on the Fick ́s and Fourier ́s Laws was developed to predict heat and mass transport in solids considering constant physical properties and convective boundary conditions at the surface of the solid. The analytical solution of the governing equations was obtained using the method of separation of variables. The study was applied in the drying of common ceramic bricks. Predicted results of the heating and drying kinetics and the moisture and temperature distributions inside the material during the process, are compared with experimental data and good agreement was obtained. It has been found that the vertices of the solid dry and heat first. This provokes thermal and hydric stresses inside the material, which may compromise the quality of the product after drying.

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MHD Slip Flow of Newtonian Fluid past a Stretching Sheet with Thermal Convective Boundary Condition, Radiation, and Chemical Reaction

Mathematical Problems in Engineering ◽

10.1155/2013/359817 ◽

2013 ◽

Vol 2013 ◽

pp. 1-12 ◽

Cited By ~ 1

Author(s):

Reda G. Abdel-Rahman

Keyword(s):

Mass Transfer ◽

Boundary Condition ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Heat And Mass Transfer ◽

Chemical Reaction ◽

Stretching Sheet ◽

Convective Boundary Condition ◽

Nonlinear Ordinary Differential Equations ◽

Convective Boundary

An analysis is carried out to study the problem of heat and mass transfer flow over a moving permeable flat stretching sheet in the presence of convective boundary condition, slip, radiation, heat generation/absorption, and first-order chemical reaction. The viscosity of fluid is assumed to vary linearly with temperature. Also the diffusivity is assumed to vary linearly with concentration. The governing partial differential equations have been reduced to the coupled nonlinear ordinary differential equations by using Lie group point of transformations. The system of transformed nonlinear ordinary differential equations is solved numerically using shooting techniques with fourth-order Runge-Kutta integration scheme. Comparison between the existing literature and the present study was carried out and found to be in excellent agreement. The effects of the various interesting parameters on the flow, heat, and mass transfer are analyzed and discussed through graphs in detail. The values of the local Nusselt number, the local skin friction, and the local Sherwood number for different physical parameters are also tabulated.

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Heat and Mass Transfer of a MHD Flows of An Oldroyd 8-Constant Nano-Fluid Through a Non-Darcy Porous Medium

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2017.6323 ◽

2017 ◽

Vol 14 (1) ◽

pp. 321-329

Author(s):

Abeer A Shaaban

Keyword(s):

Magnetic Field ◽

Mass Transfer ◽

Porous Medium ◽

Differential Equations ◽

Prandtl Number ◽

Heat And Mass Transfer ◽

Induced Magnetic Field ◽

Linear Ordinary Differential Equations ◽

Nano Fluid ◽

Non Linear

Explicit finite-difference method was used to obtain the solution of the system of the non-linear ordinary differential equations which transform from the non-linear partial differential equations. These equations describe the steady magneto-hydrodynamic flow of an oldroyd 8-constant non-Newtonian nano-fluid through a non-Darcy porous medium with heat and mass transfer. The induced magnetic field was taken into our consideration. The numerical formula of the velocity, the induced magnetic field, the temperature, the concentration, and the nanoparticle concentration distributions of the problem were illustrated graphically. The effect of the material parameters (α1 α2), Darcy number Da, Forchheimer number Fs, Magnetic Pressure number RH, Magnetic Prandtl number Pm, Prandtl number Pr, Radiation parameter Rn, Dufour number Nd, Brownian motion parameter Nb, Thermophoresis parameter Nt, Heat generation Q, Lewis number Le, and Sort number Ld on those formula were discussed specially in the case of pure Coutte flow (U0 = 1, d <inline-formula> <mml:math display="block"> <mml:mrow> <mml:mover accent="true"> <mml:mi>P</mml:mi> <mml:mo stretchy="true">^</mml:mo> </mml:mover> </mml:mrow> </mml:math> </inline-formula> /dx = 0). Also, an estimation of the global error for the numerical values of the solutions is calculated by using Zadunaisky technique.

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