Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method

Abd‐el‐Malek, Mina B.; Badran, Nagwa A.; Hassan, Hossam S.

doi:10.1016/s0020-7225(02)00037-x

Cited by 24 publications

(18 citation statements)

References 13 publications

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“…Now we want to develop a complete set of absolute invariants so that the original problem (8)-(10) will be transformed into similarity equations under the derived deductive group (21). If …”

Section: B the Complete Set Of Absolute Invariantsmentioning

confidence: 99%

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Similarity treatment for MHD free convective boundary layer flow of a class of non-Newtonian fluids

Darji¹,

Timol²

2016

FME Transaction

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Section: B the Complete Set Of Absolute Invariantsmentioning

confidence: 99%

“…Recently this method has been successfully applied to various non-linear problems by Abd-el-Malek et al [21], Adnan et al [22], Darji and Timol [23,24].…”

Section: Introductionmentioning

confidence: 99%

Similarity treatment for MHD free convective boundary layer flow of a class of non-Newtonian fluids

Darji¹,

Timol²

2016

FME Transaction

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“…. , ) and (1) , (2) up to ( ) are the collection of all first-order and second-order up to th order derivatives of .…”

Section: Symmetry Transformations Of Differential Equationsmentioning

confidence: 99%

“…is called a symmetry transformation of system (1) if (1) is form-invariant in the new variables and ; that is, ( , , (1) , . .…”

Section: Symmetry Transformations Of Differential Equationsmentioning

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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Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet

Hayat

Qasim

2011

Numerical Methods in Fluids

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SUMMARYThis present analysis discusses the mixed convection boundary layer flow of a magnetohydrodynamic second grade fluid over an unsteady permeable stretching sheet. The time-dependent stretching velocity and the surface temperature are chosen. Series solutions of the governing boundary value problems are obtained by employing homotopy analysis method. Convergence of the obtained solution is explicitly discussed. The dependence of velocity and temperature profiles on the various quantities is shown and discussed by plotting graphs. Skin friction coefficient and the local Nusselt number tabulated and analyzed.

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Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method

Cited by 24 publications

References 13 publications

Similarity treatment for MHD free convective boundary layer flow of a class of non-Newtonian fluids

Similarity treatment for MHD free convective boundary layer flow of a class of non-Newtonian fluids

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

Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet

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