Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Nadeem, S.; Hussain, Syed Tajammul

doi:10.18869/acadpub.jafm.68.225.21487

Cited by 36 publications

(18 citation statements)

References 28 publications

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“…This is due to rise in the Lorentz force, which create a resistive force to the force flow resulting in slow fluid motion. The present result is consistent with the results of Nadeem and Hussain 34 . Figure 3 is plotted against the Williamson parameter, which is the ratio of relaxation time to retardation time to the fluid velocity

f^{'} false(η false)

.…”

Section: Discussion Of Results Obtained From Present Studysupporting

confidence: 92%

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Activation energy and binary chemical reaction on unsteady MHD Williamson nanofluid containing motile gyrotactic micro‐organisms

Gorji

2020

Heat Trans

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The author presents the influence of Arrhenius activation energy and binary chemical reaction on an unsteady magnetohydrodynamics Williamson nanofluid with motile gyrotactic micro‐organisms. The governing equations are converted to coupled ordinary differential equations with similarity transformations and the fifth‐order Runge‐Kutta Fehlberg method and the shooting algorithm is applied to solve these equations using the appropriate boundary conditions. A detailed investigation considering the effects of different physical parameters on the profiles like velocity, temperature, concentration, and density of motile gyrotactic micro‐organisms was done and plotted graphically. It is found that the thermal boundary layer enhances for the chemical reaction rate and the solutal boundary layer increases for activation energy. Furthermore, the nondimensional Williamson parameter reduces for the velocity profile. The author studied the wall temperature gradient of different fluids and found that temperature gradient decreased for the present study. Comparisons of the present result with published work were done to verify the present code.

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f^{'} false(η false)

.…”

Section: Discussion Of Results Obtained From Present Studysupporting

confidence: 92%

“…The present result is consistent with the results of Nadeem and Hussain. 34 Figure 3 is plotted against the Williamson parameter, which is the ratio of relaxation time to retardation time to the fluid velocity f η ( )…”

Section: Effect Of Velocity Profiles For Different Parametersmentioning

confidence: 99%

Activation energy and binary chemical reaction on unsteady MHD Williamson nanofluid containing motile gyrotactic micro‐organisms

Gorji

2020

Heat Trans

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“…To validate the accuracy of our results, a comparison has been made with previously existing paperd by Khan and Pop (2010), Gorla and Sidawi (1994), Nadeem and Hussain (2016) and Krishnamurthy et al (2016). The comparisons are found to be in good agreement as shown in Table I.…”

Section: Resultssupporting

confidence: 67%

“…Nadeem et al (2013) were the ﬁrst ones who developed the two-dimensional boundary layer equations for the ﬂow of Williamson ﬂuid past a stretching sheet. And later on, it was used by several authors (Dapra and Scarpi, 2007; Vasudev et al , 2010; Nadeem and Akbar, 2011; Nadeem and Hussain, 2016).…”

Section: Introductionmentioning

confidence: 99%

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

Konda

Reddy

Konijeti

et al. 2019

MMMS

111

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Purpose The purpose of this paper is to examine the influence of magnetic field on Williamson nanofluid embedded in a porous medium in the presence of non-uniform heat source/sink, chemical reaction and thermal radiation effects. Design/methodology/approach The governing physical problem is presented using the traditional Navier–Stokes theory. Consequential system of equations is transformed into a set of non-linear ordinary differential equations by means of scaling group of transformation, which are solved using the Runge–Kutta–Fehlberg method. Findings The working fluid is examined for several sundry parameters graphically and in a tabular form. It is noticed that with an increase in Eckert number, there is an increase in velocity and temperature along with a decrease in shear stress and heat transfer rate. Originality/value A good agreement of the present results has been observed by comparing with the existing literature results.

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“…where ψ is stream function, f is dimensionless velocity, θ is dimensionless temperature, and η is similarity variable. Equation ( 1) is identically satisfied and by using similarity transformations (6), Equations ( 2) and (3) takes the following form:…”

mentioning

confidence: 99%

Irreversibility analysis of radiative heat transport of Williamson material over a lubricated surface with viscous heating and internal heat source

Reddy¹,

Ali

Mahanthesh

et al. 2021

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The current research explores the importance of surface lubrication and convective boundary conditions in the flow of non-Newtonian Williamson material. Rosseland radiative heat flux and viscous heating are also considered. The phenomenon of the generation or absorption of internal heat is studied. The conservation laws of momentum, mass, and energy are used to model the problem with suitable boundary conditions. With the help of appropriate transformations and the finite difference method, highly nonlinear equations of governance are solved. The influence of key parameters on Bejan number, velocity, entropy production, temperature profiles are analyzed by parametric analysis. It was found that the entropy generation rate improves due to the presence of the Rosseland radiative heat flux and the convective boundary on the lubricated surface. The sliding condition on the lubricated surface has lengthened the structure of the velocity boundary layer, while this trend is opposite to the thermal field. The dissipation due to the viscous forces of the Williamson material improves the production of entropy.

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Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Cited by 36 publications

References 28 publications

Activation energy and binary chemical reaction on unsteady MHD Williamson nanofluid containing motile gyrotactic micro‐organisms

Activation energy and binary chemical reaction on unsteady MHD Williamson nanofluid containing motile gyrotactic micro‐organisms

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

Irreversibility analysis of radiative heat transport of Williamson material over a lubricated surface with viscous heating and internal heat source

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