Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation

Hayat, Tasawar; Shafiq, Anum; Alsaedi, Ahmed

doi:10.1016/j.aej.2016.06.004

Cited by 95 publications

(57 citation statements)

References 27 publications

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“…Effectively therefore Newtonian fluids ( W e = 0) achieve lower velocities and temperatures than Williamson fluids. Similar trends have been reported by Hayat and colleagues and Khan and Khan …”

Section: Resultssupporting

confidence: 90%

“…This aids in momentum development and accelerates the boundary layer flow. A similar trend has been computed in the studies by Hayat and colleagues . The Weissenberg number indicates the degree of anisotropy or orientation generated by the deformation, and is appropriate to describe flows with a constant stretch history, and therefore appropriate for polymers.…”

Section: Resultssupporting

confidence: 64%

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Numerical exploration of thermal radiation and Biot number effects on the flow of a non‐Newtonian MHD Williamson fluid over a vertical convective surface

Amanulla¹,

Nagendra²,

Rao³

et al. 2017

Heat Trans. Asian Res.

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A theoretical and computational study of the magnetohydrodynamic flow and free convection heat transfer in an electroconductive polymer on the external surface of a vertical plate under radial magnetic field is presented. The Biot number effects are considered at the vertical plate surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The nondimensional, transformed boundary layer equations for momentum and energy are solved with the second‐order accurate implicit Keller box finite difference method under appropriate boundary conditions. Validation of the numerical solutions is achieved via benchmarking with earlier published results. The influence of Weissenberg number (ratio of the relaxation time of the fluid and time scale of the flow), magnetic body force parameter, stream‐wise variable, and Prandtl number on thermo fluid characteristics are studied graphically and via tables. A weak elevation in temperature accompanies increasing Weissenberg number, whereas a significant acceleration in the flow is computed near the vertical plate surface with increasing Weissenberg number. Nusselt number is reduced with increasing Weissenberg number. Skin friction and Nusselt number are both reduced with increasing magnetic field effect. The model is relevant to the simulation of magnetic polymer materials processing.

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Section: Resultssupporting

confidence: 90%

Section: Resultssupporting

confidence: 64%

Numerical exploration of thermal radiation and Biot number effects on the flow of a non‐Newtonian MHD Williamson fluid over a vertical convective surface

Amanulla¹,

Nagendra²,

Rao³

et al. 2017

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…Effectively therefore Newtonian fluids (We =0) achieve lower velocities and temperatures than Williamson fluids. Similar trends have been reported by Hayat et al (2016) and Khan and Khan (2014). Figs.…”

Section: Resultssupporting

confidence: 90%

“…Subba Rao et al (2015) reported on multiple slip effects in Casson boundary layer convection from a sphere observing that both thermal and hydrodynamic slip significantly alter surface skin friction and Nusselt numbers. Other studies on Williamson viscoelastic fluid include Hayat et al (2016), Subba .…”

Section: Introductionmentioning

confidence: 99%

Thermal and Momentum Slip Effects on Hydromagnetic Convection Flow of a Williamson Fluid Past a Vertical Truncated Cone

Amanulla¹,

Nagendra²,

Reddy³

2017

Frontiers in Heat and Mass Transfer

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In this article, the combined theoretical and computational study of the magneto hydrodynamic heat transfer in an electro-conductive polymer on the external surface of a vertical truncated cone under radial magnetic field is presented. Thermal and velocity (hydrodynamic) slip are considered at the vertical truncated cone surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The governing partial differential equations (PDEs) are transformed into highly nonlinear, coupled, multi-degree non-similar partial differential equations consisting of the momentum and energy equations via appropriate non-similarity transformations. These transformed conservation equations are solved subject to appropriate boundary conditions with a second order accurate finite difference method of the implicit type. Validation of the numerical solutions is achieved via benchmarking with earlier published results. The influence of Williamson viscoelastic fluid parameter, magnetic body force parameter, Thermal and velocity (hydrodynamic) slip parameters, stream wise variable and Prandtl number on thermos-fluid characteristics are studied graphically. The model is relevant to the simulation of magnetic polymer materials processing.

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“…Nadeem and Hussain [5] studied the 2D magnetohydrodynamic Williamson nanofluid flow towards a stretching surface. Hyat et al [6] studied the impact of unsteady hydromagnetic Williamson fluid towards a porous stretching surface in the presence of thermal radiation. And found that the increase in suction effect depreciates the momentum boundary layer thickness.…”

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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Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation

Cited by 95 publications

References 27 publications

Numerical exploration of thermal radiation and Biot number effects on the flow of a non‐Newtonian MHD Williamson fluid over a vertical convective surface

Numerical exploration of thermal radiation and Biot number effects on the flow of a non‐Newtonian MHD Williamson fluid over a vertical convective surface

Thermal and Momentum Slip Effects on Hydromagnetic Convection Flow of a Williamson Fluid Past a Vertical Truncated Cone

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

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