Flow of a Williamson fluid over a stretching sheet

Nadeem, S.; Hussain, Sajjad; Lee, Chang‐Hoon

doi:10.1590/s0104-66322013000300019

Cited by 251 publications

(115 citation statements)

References 28 publications

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“…In order to investigate the physical representation of the problem, the numerical values of velocity (f / (η)), temperature (θ(η)) and species concentration (φ (η)) with the boundary layer have been computed for different parameters as Williamson fluid parameter, We, Grashof number, Gr, modified Grashof number, Gc, Hartmann number, M, velocity ratio parameter, a/c, Prandtl number, Pr, thermal radiation, R, heat source, Q, Eckert number, Ec, Schmidt number, Sc and Soret number, So. In order to assess the accuracy of the numerical results the present results are compared with the previous studies (Fang et al, 2009;Nadeem et al, 2013;Ramzan et al, 2017;Salahuddin et al, 2016;Sher Akbar et al, 2015) presented in Tables 1-3 The velocity profile for different values of Williamson fluid parameter, We, are given in Fig. 3 which shows a decreasing trend in momentum boundary layer due to increase in We.…”

Section: Resultsmentioning

confidence: 98%

Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Khan¹,

Rahman²,

Arifuzzaman³

et al. 2017

Frontiers in Heat and Mass Transfer

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A two-dimensional (2D) flow of an incompressible Williamson fluid of Cattaneo-Christov heat flux type over a linearly stretched surface with the influence of magnetic field, thermal radiation-diffusion, heat generation and viscous dissipation is carried out in the present study. To develop a Williamson flow model, a boundary layer approximation is taken into account. The non-dimensional, nonlinear, coupled ordinary differential equations with boundary condition are solved numerically using Nactsheim-Swigert shooting iteration technique together with Runge-Kutta six order iteration scheme. The influences of physical parameters on the velocity, temperature, concentration is analysed through graphical consequences. To validate the accuracy of the numerical simulations scheme, comparisons is carried out with the previous studies and are found in an excellent agreement.

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Section: Resultsmentioning

confidence: 98%

Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Khan¹,

Rahman²,

Arifuzzaman³

et al. 2017

Frontiers in Heat and Mass Transfer

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“…where Π = trace(A 1 ) 2 = 2 ∂u ∂y 2 is the second invariant strain tensor derived as in [4,8]. We consider the constitutive Equation (7) in which µ ∞ = 0 and Γ .…”

Section: Methodsmentioning

confidence: 99%

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

et al. 2017

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Abstract:This investigation aims at analyzing the thin film flow passed over an inclined moving plate. The differential type non-Newtonian fluid of Williamson has been used as a base fluid in its unsteady state. The physical configuration of the oscillatory flow pattern has been demonstrated and especial attention has been paid to the oscillatory phenomena. The shear stresses have been combined with the energy equation. The uniform magnetic field has been applied perpendicularly to the flow field. The principal equations for fluid motion and temperature profiles have been modeled and simplified in the form of non-linear partial differential equations. The non-linear differential equations have been solved with the help of a powerful analytical technique known as Optimal Homotopy Asymptotic Method (OHAM). This method contains unknown convergence controlling parameters C 1 , C 2 , C 3 , ... which results in more efficient and fast convergence as compared to other analytical techniques. The OHAM results have been verified by using a second method known as Adomian Decomposition Method (ADM). The closed agreement of these two methods and the fast convergence of OHAM has been shown graphically and numerically. The comparison of the present work and published work has also been equated graphically and tabulated with absolute error. Moreover, the effect of important physical parameters like magnetic parameter M, gravitational parameter m, Oscillating parameter ω, Eckert number Ec and Williamson number We have also been derived and discussed in this article.

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“…Specifically, a number of reports exist in literature on the problem of flow over linearly stretching sheets. For example, Nadeem et al [4] examined the two dimensional flow of Williamson fluid over a stretching sheet using similarity transformations, boundary layer approach and homotopy analysis method, and observed that the velocity and skin friction decrease with the increase in the Williamson parameter. Nadeem et al [5] studied the steady flow of Casson fluid over a linearly stretching sheet in the presence of a nano-particle using similarity transformation solution and numerical approach, and observed that the Brownian and thermo-phoresic parameters reduce the Nusselt number but increase the Sherwood number.…”

Section: Introductionmentioning

confidence: 99%

Thermally Driven Steady MHD Mixed Convective Chemically Reacting Flow over a Hot Porous Linearly Stretching Sheet

W.A.¹

2018

GLM

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Thermally driven steady mixed convective chemically reacting flow of an electrically conducting viscous incompressible fluid over a linearly stretching sheet in the presence of suction/injection, heat generation/absorption and thermal radiation is investigated. The governing nonlinear equations are transformed into ordinary differential equations using the similarity transformation, and linearized using the perturbation series expansions. The resulting linear similarity equations are solved semi-analytically using the Mathematica 9.0 software. Solutions of the concentration, temperature, velocity, Nusselt number, Sherwood number and skin friction are obtained, and presented graphically to illustrate the effects of the various parameters on the dependent flow variables. The results are extensively discussed. Furthermore, the results obtained are bench-marked with some of those obtained in the earlier studies in literature, and are found to be in consonance.

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Flow of a Williamson fluid over a stretching sheet

Cited by 251 publications

References 28 publications

Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

Thermally Driven Steady MHD Mixed Convective Chemically Reacting Flow over a Hot Porous Linearly Stretching Sheet

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