Mathematical analysis of heat and mass transfer in a Maxwell fluid

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.

MHD flow with heat and mass transfer of Williamson nanofluid over stretching sheet through porous medium

2018 ◽  
Vol 25 (4) ◽  
pp. 1155-1169 ◽  
Author(s):  
Hameda M. Shawky ◽  
Nabil T. M. Eldabe ◽  
Kawther A. Kamel ◽  
Esmat A. Abd-Aziz
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Stretching Sheet ◽  
Mhd Flow

scholarly journals Thermal radiation and hall effect on MHD flow, heat and mass transfer over an inclined permeable stretching sheet

2011 ◽  
Vol 15 (suppl. 2) ◽  
pp. 195-204 ◽  
Author(s):  
Chandra Shit ◽  
Raju Haldar
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Internal Heat ◽  
Mhd Flow ◽  
Fluid Viscosity ◽  
Linear Ordinary Differential Equations

Of concern in this paper is an investigation of the combined effects of thermal radiation and Hall current on momentum, heat and mass transfer in laminar boundary-layer flow over an inclined permeable stretching sheet with variable viscosity. The sheet is linearly stretched in the presence of an external magnetic field and the fluid motion is subjected to a uniform porous medium. The effect of internal heat generation/absorption is also taken into account. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The boundary-layer equations that governing the flow problem have reduced to a system of non-linear ordinary differential equations with a suitable similarity transformation. Then the transformed equations are solved numerically by employing a finite difference scheme. Thus the results obtained are presented graphically for the various parameters of interest.

scholarly journals Effects of viscous dissipation on MHD flow with heat and mass transfer over a stretching surface with heat source, thermal stratification and chemical reaction

2011 ◽  
Vol 7 (1) ◽  
pp. 11-18 ◽  
Author(s):  
Naikotin Kishan ◽  
P. Amrutha
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Thermal Stratification ◽  
Nonlinear Partial Differential Equations ◽  
Mhd Flow ◽  
Momentum Equation ◽  
Stretching Surface

This paper deals with the study of  nonlinear MHD flow, with heat and mass transfer characteristics of an incompressible, viscous, electrically conducting and Boussinesq fluid on a vertical stretching surface with thermal stratification and chemical reaction by taking in to account the viscous dissipation effects. Adopting the similarity transformation, governing nonlinear partial differential equations of the problem are transformed to nonlinear ordinary differential equations. The Quasi-linearization technique is used for the non-linear momentum equation and then the numerical solution of the problem is derived using implicit finite difference technique, for different values of the dimensionless parameters. The numerical values obtained for velocity profiles, temperature profiles and concentration profiles are represent graphically in figures.  The results obtained show that the flow field is influenced appreciably by the presence of viscous dissipation, thermal stratification, chemical reaction and magnetic field.DOI: 10.3329/jname.v7i1.3254 

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

2014 ◽  
Vol 18 (suppl.2) ◽  
pp. 599-615 ◽  
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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