Symmetry groups of boundary layer equations of a class of non-Newtonian fluids

Pakdemi̇rli̇, Mehmet; Yürüsoy, Muhammet; Küçükbursa, Atalay

doi:10.1016/0020-7462(95)00071-2

Cited by 17 publications

(5 citation statements)

References 19 publications

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“…He also analyzes a nonlinear magnetic potential equation, with conservation laws, with the Liouville equation as a special case [39]. Pakdemirli and others treat boundary layer equations for non-Newtonian fluids, including arbitrary shear stress, power law fluids, and other models [40,41]. Şuhubi and others, in a number of papers, consider general approaches to equations of balance and other equations [42,43,44,45,46,47,48].…”

Section: Other Examplesmentioning

confidence: 99%

The Differential Form Method for Finding Symmetries

Harrison¹

2005

SIGMA

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This article reviews the use of differential forms and Lie derivatives to find symmetries of differential equations, as originally presented by Harrison and Estabrook, J. Math. Phys., 12 (1971), 653. An outline of the method is given, followed by examples and references to recent papers using the method.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

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Section: Other Examplesmentioning

confidence: 99%

The Differential Form Method for Finding Symmetries

Harrison¹

2005

SIGMA

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“…Some later works on the boundary layer flow of non-Newtonian fluids are presented in Refs. [4][5][6][7][8][9][10]. Etemad [11] explored the non-Newtonian fluid flow and heat transfer in three dimensional laminar phenomena.…”

Section: Introductionmentioning

confidence: 99%

On cattaneo-christov heat flux analysis with magneto-hydrodynamic and heat generation effects in a Carreau nano-fluid over a stretching sheet

Ali¹,

Al-Qahtani

Rehman

et al. 2019

Rev. Mex. Fís.

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This pagination specifies the characteristics of Carreau nano-fluid model embedded with hydro-magnetic (MHD) effects and the energy equation is extracted through Cattaneo-Christov approach. The process of heat generation and chemical reaction are also carried out whereas the fluid flow having infinite shear rate viscosity is induced by the stretching sheet. The mathematical form is developed in order to get the coupled partial differential equations and admissible similarity transforms are used to construct the set of ordinary differential equations and then sorted out numerically by applying Runge-Kutta Fehlberg method supported with shooting scheme. The graphs are plotted that portrays the impact of fluid velocity and temperature towards various engineering parameters which reveals that the fluid temperature increases when enlarging heat generation parameter. The validations for the numerical values of skin friction coefficient are delineated with the existing literature [33]. Also, the numerical findings for the local Nusselt number are offered.

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“…Beavers and Joseph [1] was first proposed the slip flow condition at the boundary. The flow behaviors of boundary layer flow of non-Newtonian fluids are given in [2][3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic flow of power law fluid in a porous medium with energy dissipation: A numerical approach

Dey¹,

Deb²

2018

TI-IJES

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A time independent boundary layer flow through a porous medium has been studied with energy dissipation and transverse magnetic field. The constitutive equation of the fluid flow is based on power law fluid flow. Body forces generated in the fluid flow are Lorentz force, Buoyancy and Darcy's force. Surface of the porous medium is characterized by velocity and thermal slip factors. In the mathematical analysis, we have used similarity transformation (for conversion of partial differential equations into ordinary) and MATLAB built in bvp4c solver method. Effects of various flow parameters are represented by the graphs and effort has been made to discuss the results.

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Symmetry groups of boundary layer equations of a class of non-Newtonian fluids

Cited by 17 publications

References 19 publications

The Differential Form Method for Finding Symmetries

The Differential Form Method for Finding Symmetries

On cattaneo-christov heat flux analysis with magneto-hydrodynamic and heat generation effects in a Carreau nano-fluid over a stretching sheet

Hydromagnetic flow of power law fluid in a porous medium with energy dissipation: A numerical approach

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