MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method

This study explains the impression of MHD Maxwell fluid with the presence of thermal radiation on a heated surface. The heat and mass transmission analysis is carried out with the available of Cattaneo–Christov dual diffusion. The derived PDE equations are renovated into ODE equations with the use of similarity variables. HAM technique is implemented for finding the solution. The importance of physical parameters of fluid velocity, temperature, concentration, skin friction, and heat and mass transfer rates are illustrated in graphs. We found that the fluid velocity declines with the presence of the magnetic field parameter. On the contrary, the liquid temperature enhances by increasing the radiation parameter. In addition, the fluid velocity is low, and temperature and concentration are high in Maxwell fluid compared to the viscous liquid.

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Mathematical analysis of heat and mass transfer in a Maxwell fluid

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406220976704 ◽

2020 ◽

pp. 095440622097670

Author(s):

Muhammad Naveed Khan ◽

Sohail Nadeem ◽

Shafiq Ahmad ◽

Anber Saleem

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Parabolic Equations ◽

Thermal Stratification ◽

Flow Model ◽

Stretching Sheet ◽

Mhd Flow ◽

Maxwell Fluid ◽

Variable Thermal Conductivity ◽

Deborah Number

The objective of current research is to analyze the MHD flow of a Maxwell fluid towards a stretching sheet with thermophoretic and stratification effects. The analysis of heat and mass transfer is presented in the presence of variable thermal conductivity and the Cattaneo-Christov theory. The Cattaneo-Christov theory is used instead of Fourier and Fick laws because Fourier and Fick's laws give parabolic equations, which propagate in the space with infinite speed. The under-consideration flow model is converted into a set of ordinary differential equations by using suitable transformation. The set of ODEs is numerically solved by adopting the bvp4c Matlab technique. Influences of emerging parameters on velocity profile, temperature, and concentration are discussed with graphs. It is observed that larger values of Deborah number induce a resistance, that declining the velocity of a fluid. Further, it is noticed that thermal stratification parameter and concentration stratification parameter reduce the temperature and concentration distribution.

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MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet

Meccanica ◽

10.1007/s11012-011-9448-7 ◽

2011 ◽

Vol 47 (2) ◽

pp. 385-393 ◽

Cited By ~ 91

Author(s):

M. Subhas Abel ◽

Jagadish V. Tawade ◽

Mahantesh M. Nandeppanavar

Keyword(s):

Heat Transfer ◽

Stretching Sheet ◽

Mhd Flow ◽

Maxwell Fluid ◽

Flow And Heat Transfer

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Symmetry Analysis of Boundary Layer Equations of an Upper Convected Maxwell Fluid with Magnetohydrodynamic Flow

Zeitschrift für Naturforschung A ◽

10.1515/zna-2011-0508 ◽

2011 ◽

Vol 66 (5) ◽

pp. 321-328

Author(s):

Gözde Deǧer ◽

Mehmet Pakdemirli ◽

Yiǧit Aksoy

Keyword(s):

Magnetic Field ◽

Boundary Layer ◽

Boundary Conditions ◽

Stretching Sheet ◽

Mhd Flow ◽

Maxwell Fluid ◽

Similarity Solutions ◽

Variable Magnetic Field ◽

Physical Parameters ◽

Boundary Layer Equations

Steady state boundary layer equations of an upper convected Maxwell fluid with magnetohydrodynamic (MHD) flow are considered. The strength of the magnetic field is assumed to be variable with respect to the location. Using Lie group theory, group classification of the equations with respect to the variable magnetic field is performed. General boundary conditions including stretching sheet and injection are taken. Restrictions imposed by the boundary conditions on the symmetries are discussed. Special functional forms of boundary conditions for which similarity solutions may exist are derived. Using the symmetries, similarity solutions are presented for the case of constant strength magnetic field. Stretching sheet solutions with or without injection are presented. Effects of physical parameters on the solutions are depicted.

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MHD flow and heat transfer for Maxwell fluid over an exponentially stretching sheet with variable thermal conductivity in porous medium

Thermal Science ◽

10.2298/tsci120530120s ◽

2014 ◽

Vol 18 (suppl.2) ◽

pp. 599-615 ◽

Cited By ~ 10

Author(s):

V. Singh ◽

Shweta Agarwal

Keyword(s):

Heat Transfer ◽

Thermal Conductivity ◽

Porous Medium ◽

Wall Temperature ◽

Stretching Sheet ◽

Mhd Flow ◽

Maxwell Fluid ◽

Variable Thermal Conductivity ◽

Flow And Heat Transfer ◽

Exponentially Stretching

An analysis is made to study MHD flow and heat transfer for Maxwell fluid over an exponentially stretching sheet through a porous medium in the presence of non-uniform heat source/sink with variable thermal conductivity. The thermal conductivity is assumed to vary as a linear function of temperature. The governing partial differential equations are transformed into ordinary differential equations using similarity transformations and then solved numerically using implicit finite difference scheme known as Keller-box method. The effect of the governing parameters on the flow field, skin friction coefficient, wall temperature gradient (in prescribed surface temperature case), wall temperature (in prescribed heat flux case) and Nusselt number are computed, analyzed and discussed through graphs and tables. The present results are found to be in excellent agreement with previously published work [1,2] on various special cases of the problem.

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MHD Flow of Maxwell Fluid Over a Stretching Sheet in the Presence of Nanoparticles, Thermal Radiation and Chemical Reaction: A Numerical Study

Journal of Nanofluids ◽

10.1166/jon.2015.1133 ◽

2015 ◽

Vol 4 (1) ◽

pp. 100-106 ◽

Cited By ~ 7

Author(s):

G. K. Ramesh ◽

B. J. Gireesha ◽

T. Hayat ◽

A. Alsaedi

Keyword(s):

Thermal Radiation ◽

Chemical Reaction ◽

Stretching Sheet ◽

Numerical Study ◽

Mhd Flow ◽

Maxwell Fluid

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MHD Flow with Hall current and Joule Heating Effects over an Exponentially Stretching Sheet

Nonlinear Engineering ◽

10.1515/nleng-2016-0035 ◽

2017 ◽

Vol 6 (2) ◽

Author(s):

D. Srinivasacharya ◽

P. Jagadeeshwar

Keyword(s):

Joule Heating ◽

Stretching Sheet ◽

Hall Current ◽

Mhd Flow ◽

Linearization Method ◽

Coupled Equations ◽

Exponentially Stretching Sheet ◽

Similarity Transformations ◽

Special Cases ◽

Exponentially Stretching

AbstractThe aim of the present paper is to study the influence of Hall current and Joule heating on flow, heat and mass transfer over an exponentially stretching sheet in a viscous fluid. Using similarity transformations the governing nonlinear coupled equations are converted into ordinary differential equations. These equations are linearized using the successive linearization method and then solved using the Chebyshev pseudo spectral method. The influence of magnetic parameter, Hall parameter, suction/injection parameter and slip parameter on the physical quantities are presented graphically. The obtained results are compared with the previously published results for special cases.

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