MHD axisymmetric flow of third grade fluid by a stretching cylinder

Hayat, Tasawar; Shafiq, Anum; Alsaedi, Ahmed

doi:10.1016/j.aej.2015.03.013

Cited by 116 publications

(44 citation statements)

References 32 publications

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“…Many fluids used in wire-coating exhibit the characteristics of third grade fluid. Many authors [9][10][11] have studied in the field of third grade fluid. Recently, a viscoelastic fluid model known as Phan-ThienTanner (PTT) model is widely used for wire coating.…”

Section: Introductionmentioning

confidence: 99%

Wire Coating Analysis in MHD Flow and Heat Transfer of a Radiative Third Grade Fluid with Variable Viscosity in a Porous Medium

Nayak¹

2016

AJHMT

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Wire coating process is a continuous extrusion process for primary insulation of conducting wires with molten polymers for mechanical strength and protection in aggressive environments. In the present study wire coating is performed using radiative melt polymer satisfying third grade fluid model. The novelty of this study is to analyze the effect of porosity, thermal radiation parameter and varying temperature dependent viscosity on the wire coating. Reynolds Model and Vogel's Model have been considered to account for temperature dependent viscosity. The equations characterizing the flow and heat transfer phenomena are solved numerically by fourth order Runge-Kutta method and the effects of pertinent parameters are shown with the help of graphs. It is interesting to remark that an increase in non-Newtonian parameter increases the velocity in the absence of porous matrix which coincides with the results reported earlier but in the presence of porous matrix the velocity decreases in the entire span of the flow domain. It is also interesting to note that increase in thermal radiation parameter accelerates the process in the presence of porous matrix. Further, the flow instability in the flows of extrusion die is well marked in case of Vogel's model as pointed out by Nhan-Phan-Thien.

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Section: Introductionmentioning

confidence: 99%

Wire Coating Analysis in MHD Flow and Heat Transfer of a Radiative Third Grade Fluid with Variable Viscosity in a Porous Medium

Nayak¹

2016

AJHMT

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“…The relevant flow problems are formulated and solved by homotopy analysis method (HAM). [24][25][26][27][28][29][30][31][32][33][34][35][36] The effects of various parameters on the velocity and temperature fields are discussed.…”

Section: Introductionmentioning

confidence: 99%

Marangoni mixed convection flow with Joule heating and nonlinear radiation

et al. 2015

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Marangoni mixed convective flow of Casson fluid in a thermally stratified medium is addressed. Flow analysis has been carried out in presence of inclined magnetic field. Heat transfer analysis is discussed in the presence of viscous dissipation, Joule heating and nonlinear thermal radiation. The governing nonlinear partial differential equations are first converted into ordinary differential systems and then developed the convergent series solutions. Flow pattern with the influence of pertinent parameters namely the magnetic parameter, Casson fluid parameter, temperature ratio parameter, stratification parameter, Prandtl number, Eckert number and radiation parameter is investigated. Expression of local Nusselt number is computed and analyzed. It is found that the Nusselt number decreases by increasing magnetic parameter, temperature ratio parameter, angle of inclination and stratification parameter. Moreover the effect of buoyancy parameter on the velocity distribution is opposite in both the opposing and assisting flow phenomena. Thermal field and associated layer thickness are enhanced for larger radiation parameter.

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“…where C i (i = 1 − 5) are the arbitrary constants which are determined through the boundary conditions (30) and (32) in the values given below:…”

Section: B Mth-order Deformation Problemsmentioning

confidence: 99%

“…Appropriate transformations are used to convert the systems of non-linear partial differential equations into non-linear ordinary differential equations. Homotopy analysis method [27][28][29][30][31][32][33][34][35][36][37][38] is used to obtain the series solutions of the resulting mathematical problems. Numerical values of various emerging parameters of interest are computed and analyzed through graphs.…”

Section: Introductionmentioning

confidence: 99%

Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

et al. 2015

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This paper examines effects of inclined magnetic field and heat transfer in the flow of a third-grade fluid by an exponentially stretching surface. Formulation and analysis are given with heat source and sink. Thermal conductivity is taken temperature dependent. The governing boundary layer equations and boundary conditions are simplified through appropriate transformations. Resulting equations are solved for the approximate solutions. Convergence of governed problems is explicitly discussed. Influences of various dimensionless parameters such as on the flow and thermal fields are discussed. Local skin friction coefficient and the local Nusselt number are analyzed through tabulated values.

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MHD axisymmetric flow of third grade fluid by a stretching cylinder

Cited by 116 publications

References 32 publications

Wire Coating Analysis in MHD Flow and Heat Transfer of a Radiative Third Grade Fluid with Variable Viscosity in a Porous Medium

Wire Coating Analysis in MHD Flow and Heat Transfer of a Radiative Third Grade Fluid with Variable Viscosity in a Porous Medium

Marangoni mixed convection flow with Joule heating and nonlinear radiation

Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

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