Flow of power-law fluid over a stretching surface: A Lie group analysis

Jalil, Mudassar; Asghar, S.

doi:10.1016/j.ijnonlinmec.2012.07.004

Cited by 48 publications

(21 citation statements)

References 19 publications

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“…Group Analysis [8]. The investigation of the boundary layer flow of power-law fluid over a permeable stretching surface was made by Jalil and Asghar [8].…”

Section: Flow Of Power-law Fluid Over a Stretching Surface: A Liementioning

confidence: 99%

“…The investigation of the boundary layer flow of power-law fluid over a permeable stretching surface was made by Jalil and Asghar [8]. The use of Lie group analysis reveals all possible similarity transformations of the problem.…”

Section: Flow Of Power-law Fluid Over a Stretching Surface: A Liementioning

confidence: 99%

“…The similarity transformations have been utilized to reduce the governing system of nonlinear PDEs to a nonlinear boundary value problem. The governing equations of the flow model [8] are…”

Section: Flow Of Power-law Fluid Over a Stretching Surface: A Liementioning

confidence: 99%

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Applications of Group Theoretical Methods to Non‐Newtonian Fluid Flow Models: Survey of Results

Aziz

Mahomed

2017

Mathematical Problems in Engineering

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The present review is intended to encompass the applications of symmetry based approaches for solving non-Newtonian fluid flow problems in various physical situations. Works which deal with the fundamental science of non-Newtonian fluids that are analyzed using the Lie group method and conditional symmetries are reviewed. We provide the mathematical modelling, the symmetries deduced, and the solutions obtained for all the models considered. This survey includes, as far as possible, all the articles published until 2015. Only papers published by a process of peer review in archival journals are reviewed and are grouped together according to the specific non-Newtonian models under investigation.

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“…Group Analysis [8]. The investigation of the boundary layer flow of power-law fluid over a permeable stretching surface was made by Jalil and Asghar [8].…”

Section: Flow Of Power-law Fluid Over a Stretching Surface: A Liementioning

confidence: 99%

Section: Flow Of Power-law Fluid Over a Stretching Surface: A Liementioning

confidence: 99%

See 1 more Smart Citation

Applications of Group Theoretical Methods to Non‐Newtonian Fluid Flow Models: Survey of Results

Aziz

Mahomed

2017

Mathematical Problems in Engineering

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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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“…For instance Momeni et al (2011) presented the numerical analysis of flow and heat transfer of a viscoelastic fluid over a stretching sheet. Jalil and Asghar (2012) presented the Lie group analysis for the flow of power law fluid over a stretching surface. Makinde and Sibanda (2011) discussed the effects of chemical reaction on boundary layer flow past a vertical stretching surface in the presence of internal heat generation.…”

mentioning

confidence: 99%

Time-dependent flow of UCM fluid with chemical reaction, thermal-diffusion and diffusion-thermo effects

Awais

Alsaedi²,

Hayat³

2014

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose -The authors presented the time-dependent flow of an upper-convected Maxwell (UCM) fluid in the presence of chemical reaction, thermal-diffusion and diffusion-thermo effects. The paper aims to discuss these issues. Design/methodology/approach -Recent technique namely homotopy analysis method (HAM) is utilized to compute the solution of the problem. Findings -Chemical reaction has opposite effects on the concentration field for the destructive and constructive cases. The Deborah number acts as a retarding agent. Originality/value -Combined effects of thermal-diffusion, diffusion-thermo and chemical reaction are analyzed.

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Flow of power-law fluid over a stretching surface: A Lie group analysis

Cited by 48 publications

References 19 publications

Applications of Group Theoretical Methods to Non‐Newtonian Fluid Flow Models: Survey of Results

Applications of Group Theoretical Methods to Non‐Newtonian Fluid Flow Models: Survey of Results

Similarity solution for flow over an unsteady nonlinearly stretching rotating disk

Time-dependent flow of UCM fluid with chemical reaction, thermal-diffusion and diffusion-thermo effects

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