Boundary Layer Flow of Williamson Fluid with Chemically Reactive Species using Scaling Transformation and Homotopy Analysis Method

Khan, Najeeb Alam; Khan, Sher; Riaz, Fatima

doi:10.12785/msl/030311

Cited by 35 publications

(20 citation statements)

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“…Analysis Method [18]. The study of Williamson fluid flow with a chemically reactive species was made recently by Khan et al [18].…”

Section: Boundary Layer Flow Of Williamson Fluid With Chemically Reacmentioning

confidence: 99%

“…The study of Williamson fluid flow with a chemically reactive species was made recently by Khan et al [18]. The governing equations of Williamson model in two-dimensional flows were constructed by using scaling group transformation.…”

Section: Boundary Layer Flow Of Williamson Fluid With Chemically Reacmentioning

confidence: 99%

“…The similarity transformations (121) are utilized in [18] to reduce the above PDE system into a system of nonlinear ordinary differential equations. The reduced ordinary differential system was solved analytically by homotopy analysis method.…”

Section: Mathematical Problems In Engineeringmentioning

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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“…Analysis Method [18]. The study of Williamson fluid flow with a chemically reactive species was made recently by Khan et al [18].…”

Section: Boundary Layer Flow Of Williamson Fluid With Chemically Reacmentioning

confidence: 99%

Section: Boundary Layer Flow Of Williamson Fluid With Chemically Reacmentioning

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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“…A couple of utilizations of non-Newtonian fluids are nourishment blending and chyme development in the digestive tract, polymer arrangements, paint, stream of blood, the stream of atomic fuel slurries, the stream of fluid metals and combinations, a stream of mercury amalgams and oils with substantial oils and greases. Khan et al [1] reaction using R-K-F with shooting technique has been analyzed by Krishnamurty et al [2]. Nonlinear radiation influence on magnetohydrodynamic nanofluid flow past a stretching surface was discussed by Prasannakumara et al [3] and found that the flow depreciates with enhancing the permeability parameter.…”

Section: Introductionmentioning

confidence: 99%

Melting heat transfer in magnetohydrodynamic radiative Williamson fluid flow with non-uniform heat source/sink

Kumaran

Sandeep

Vijayaragavan

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. We analyzed the influence of melting heat transfer in magnetohydrodynamic radiative Williamson fluid flow past an upper paraboloid of revolution with viscous dissipation. The overseeing flow and thermal distributions of insecure flow is introduced and streamlined utilizing comparable and nonsimilar transforms. The diminished coupled nonlinear differential equations are solved systematically with the assistance of a strong explanatory strategy, in particular, the shooting technique. Numerical solutions for the imperative physical channel are figured and shown. The physical components of reasonable parameters are examined through the graphs of skin friction, local Nusselt number. Rising values of Eckert number depreciate the flow and heat transfer rate.

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“…In the Williamson fluid model, both the minimum and maximum viscosities are considered to ensure better results for pseudoplastic fluids. There are plenty of articles on Williamson fluid model available [32][33][34][35][36][37], but most of them describe the peristaltic flows of the Williamson fluid. Nadeem et al [38] are the first ones to develop the two-dimensional boundary layer equations for the flow of Williamson fluid past a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface

Halim

Sivasankaran

Noor

2016

Neural Comput & Applic

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A steady stagnation point flow of an incompressible Williamson nanofluid towards a horizontal linearly stretching/shrinking sheet with active and passive controls on the wall mass flux is numerically studied. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation and are solved using the bvp4c package in MATLAB. The velocity, temperature and nanoparticle volume fraction profiles together with the reduced skin friction coefficient, reduced Nusselt number and reduced Sherwood number are graphically presented to visualize the effects of parameters involved in the study. Results show that temperature and nanoparticle volume fraction are decreasing functions of the stagnation parameter, r. It is also found that the diffusivity ratio N bt and Lewis number Le have almost negligible effects on heat transfer rate in passive control. Increasing value of Williamson parameter k will increase the skin friction in both stretching and shrinking surfaces.

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Boundary Layer Flow of Williamson Fluid with Chemically Reactive Species using Scaling Transformation and Homotopy Analysis Method

Cited by 35 publications

References 1 publication

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

Melting heat transfer in magnetohydrodynamic radiative Williamson fluid flow with non-uniform heat source/sink

Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface

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