Unsteady Hiemenz flow of Cu-nanofluid over a porous wedge in the presence of thermal stratification due to solar energy radiation: Lie group transformation

Kandasamy, R.; Muhaimin, I.; Khamis, Azme; Roslan, Rozaini

doi:10.1016/j.ijthermalsci.2012.10.013

Cited by 54 publications

(25 citation statements)

References 35 publications

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“…The Lie point symmetries of the above system corresponding to different forms of the source term ( , ) are given in Table 1 of [5]. The invariant solutions of system (63) found in [5] are of the form [6]. An analysis has been conducted to study the problem of heat transfer of a power-law fluid over a vertical stretching sheet with slip boundary condition by Mutlag et al [6].…”

Section: Symmetry Reductions Of a Flow With Power-law Fluidmentioning

confidence: 99%

“…Wedge in the Presence of Thermal Stratification due to Solar Energy Radiation: Lie Group Transformation [63]. The unsteady Hiemenz flow of an incompressible viscous Cunanofluid past a porous wedge due to incident radiation was investigated by Kandasamy et al [63].…”

Section: Unsteady Hiemenz Flow Of Cu-nanofluid Over a Porousmentioning

confidence: 99%

“…The unsteady Hiemenz flow of an incompressible viscous Cunanofluid past a porous wedge due to incident radiation was investigated by Kandasamy et al [63]. The partial differential equations governing the model under investigation were transformed into a system of ordinary differential equations by utilizing one-parameter Lie group of transformation.…”

Section: Unsteady Hiemenz Flow Of Cu-nanofluid Over a Porousmentioning

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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Section: Symmetry Reductions Of a Flow With Power-law Fluidmentioning

confidence: 99%

Section: Unsteady Hiemenz Flow Of Cu-nanofluid Over a Porousmentioning

confidence: 99%

Section: Unsteady Hiemenz Flow Of Cu-nanofluid Over a Porousmentioning

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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“…Rajagopal et al [2] extended the problem of Falkner and Skan by considering the boundary layer flow of a second grade fluid over a wedge. A magnetohydrodynamics boundary layer flow of an electrically conducting fluid over a wedge surface has been discussed by many investigators [3][4][5][6], due to considerable theoretical and practical interest. The fluid behavior may be modelled as a rarefied gas [7].…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Rarefied Fluid Flow over a Wedge in the Presence of Surface Slip and Thermal Radiation

Das¹,

Sharma

Duari³

2017

International Journal of Applied Mechanics and Engineering

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An analysis is presented to investigate the effects of thermal radiation on a convective slip flow of an electrically conducting slightly rarefied fluid, having temperature dependent fluid properties, over a wedge with a thermal jump at the surface of the boundary in the presence of a transverse magnetic field. The reduced equations are solved numerically using the finite difference code that implements the 3-stage Lobatto IIIa formula for the partitioned Runge-Kutta method. Numerical results for the dimensionless velocity and temperature as well as for the skin friction coefficient and the Nusselt number are presented through graphs and tables for pertinent parameters to show interesting aspects of the solution.

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“…They obtained the local similarity solutions, and showed that the rate of shear stress is significantly influenced by the surface convection parameter and the slip parameter. Kandasamy et al [14] investigated theoretically the unsteady Hiemenz flow of an incompressible viscous Cu-water nanofluid past a porous wedge due to solar energy (incidental radiation). Using a special form of Lie symmetry group transformations, they transformed the govering partial differential equations of the problem into a system of ordinary differential equations and numerically solved them using a Runge-Kutta-Gill based shooting method.…”

Section: Introductionmentioning

confidence: 99%

Second Law Analysis of Flow, Heat and Mass Transfer Past a Nonlinearly Stretching Permeable Wedge with Temperature Jump and Chemical Reaction

Dalir¹

2016

Archive of Mechanical Engineering

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Second law analysis (entropy generation) for the steady two-dimensional laminar forced convection flow, heat and mass transfer of an incompressible viscous fluid past a nonlinearly stretching porous (permeable) wedge is numerically studied. The effects of viscous dissipation, temperature jump, and first-order chemical reaction on the flow over the wedge are also considered. The governing boundary layer equations for mass, momentum, energy and concentration are transformed using suitable similarity transformations to three nonlinear ordinary differential equations (ODEs). Then, the ODEs are solved by using a Keller's box algorithm. The effects of various controlling parameters such as wedge angle parameter, velocity ratio parameter, suction/injection parameter, Prandtl number, Eckert number, temperature jump parameter, Schmidt number, and reaction rate parameter on dimensionless velocity, temperature, concentration, entropy generation number, and Bejan number are shown in graphs and analyzed. The results reveal that the entropy generation number increases with the increase of wedge angle parameter, while it decreases with the increase of velocity ratio parameter. Also, in order to validate the obtained numerical results of the present work, comparisons are made with the available results in the literature as special cases, and the results are found to be in a very good agreement.Nomenclature a -coefficient of fluid velocity outside boundary layer (m 1−n s −1 ) c -stretching rate of the wedge (m 1−n s −1 ) Be -Bejan number (-) Br -Brinkman number = µu 2 w (x)/(k∆T ) (-) C -concentration (-) C w -concentration at the wedge surface (-)

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Unsteady Hiemenz flow of Cu-nanofluid over a porous wedge in the presence of thermal stratification due to solar energy radiation: Lie group transformation

Cited by 54 publications

References 35 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

Hydromagnetic Rarefied Fluid Flow over a Wedge in the Presence of Surface Slip and Thermal Radiation

Second Law Analysis of Flow, Heat and Mass Transfer Past a Nonlinearly Stretching Permeable Wedge with Temperature Jump and Chemical Reaction

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