Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis and chemical reaction on MHD free convective heat and mass transfer over a porous stretching surface in the presence of heat source/sink

Kandasamy, R.; Muhaimin, I.; Saim, Hashim

doi:10.1016/j.cnsns.2009.09.016

Cited by 37 publications

(20 citation statements)

References 31 publications

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“…Raptis and Perdikis (2006) studied viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field. Kandasamy et al (2010) analyzed Lie group analysis for the effect of temperature dependent fluid viscosity with thermophoresis and chemical reaction on MHD free convective heat and mass transfer over a porous stretching surface in the presence…”

Section: Introductionmentioning

confidence: 99%

Analysis of MHD Transient Free Convection Flow of a Newtonian Fluid Past an Infinite Vertical Porous Plate

Raju¹,

Umamaheswar²,

Varma³

2015

Frontiers in Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

Analysis of MHD Transient Free Convection Flow of a Newtonian Fluid Past an Infinite Vertical Porous Plate

Raju¹,

Umamaheswar²,

Varma³

2015

Frontiers in Heat and Mass Transfer

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“…To find the similarity solutions of Eqs. (11)- (14), it is equivalent to determine the invariant solutions of these equations under a particular continuous one parameter group (Kandasamy et al [19]). The scaling group of transformations is one of the methods from a transformation group and defined by the following group (Γ)…”

Section: Fig 1 Physical Model and Coordinate Systemmentioning

confidence: 99%

“…Patil and Kulkarni [18] considered the effects of chemical reaction on free convection flow of a polar fluid through a porous medium in the presence of internal heat generation. The problems involving chemical reactions in a nanofluid flow can be found in the studies of Kandasamy et al [19], Yazdi et al [20] and Kandasamy et al [21].…”

Section: Introductionmentioning

confidence: 99%

Nanofluid Flow over a Stretching Surface in Presence of Chemical Reaction and Thermal Radiation: An Application of Lie Group Transformation

Das¹,

Sarkar²,

Kumar³

2017

J. Sib. Fed. Univ., Math. phys.

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This paper concerns with a steady MHD boundary layer flow of an electrically conducting nanofluid over a vertical permeable stretching surface with variable stream conditions. The transport model includes the effect of Brownian motion with thermophoresis in presence of chemical reaction and thermal radiation. The group theoretic method is used to find the symmetries of the governing partial differential equations. The reduced equations are solved numerically by employing a fourth order Runge-Kutta method and Shooting techniques to predict the heat and mass transfer characteristics of the nanofluid flow. Numerical results are presented through graphs and tables for several sets of values of the involved parameters of the problem and discussed in details from the physical point of view.

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“…The methodology of deriving similarity transformation for steady flow over a rotating disk is illustrated in Ref. 7, however we also refer [11][12][13][14][15] to understand the technique of finding similarity transformations. The following similarity transformations reduce the governing equations into self similar form:…”

Section: The Formulationmentioning

confidence: 99%

Similarity solution for flow over an unsteady nonlinearly stretching rotating disk

et al. 2015

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The unsteady laminar flow of an incompressible viscous fluid over a nonlinearly stretching rotating disk is investigated. The axisymmetric three-dimensional boundary layer equations are reduced into self-similar form with the help of new similarity transformation. The resulting coupled nonlinear equations are solved numerically using shooting method coupled with Range-Kutta 6 (RK-6). An exact analytical solution for the large stretching parameter is also presented. Some interesting observations are made while interpreting the results physically. Dual solutions are obtained due to the presence of unsteadiness parameter for the nonlinear stretching of the rotating disk. The analytical results reveal that for large stretching parameter the azimuthal velocity becomes negligible and the flow behaviors turn into steady state, which is the most surprising observation of the paper. These results are also verified numerically by solving original self similar equations using shooting method. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx

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Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis and chemical reaction on MHD free convective heat and mass transfer over a porous stretching surface in the presence of heat source/sink

Cited by 37 publications

References 31 publications

Analysis of MHD Transient Free Convection Flow of a Newtonian Fluid Past an Infinite Vertical Porous Plate

Analysis of MHD Transient Free Convection Flow of a Newtonian Fluid Past an Infinite Vertical Porous Plate

Nanofluid Flow over a Stretching Surface in Presence of Chemical Reaction and Thermal Radiation: An Application of Lie Group Transformation

Similarity solution for flow over an unsteady nonlinearly stretching rotating disk

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