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

Amanulla, Ch.; Nagendra, N.; Rao, Annasagaram Subba; Bég, O. Anwar; Kadir, A

doi:10.1002/htj.21303

Cited by 19 publications

(9 citation statements)

References 47 publications

(76 reference statements)

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“…deliberated on the heat transfer in the flow of nanofluid containing microorganisms within the boundary layer formed on a rotating disk with power‐law stretching. Amanulla et al . reported boundary layer flow of heat transfer in an electroconductive polymer using Williamson viscoelastic model in the presence of thermal radiation.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Kọrikọ

Animasaun

Mahanthesh

et al. 2018

Heat Trans. Asian Res.

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Dynamics of blood containing gold nanoparticles on a syringe and other objects with a nonuniform thickness is of importance to experts in the industry. This study presents the significance of partial slip (i.e. combination of linear stretching and velocity gradient) and buoyancy on the boundary layer flow of blood-gold Carreau nanofluid over an upper horizontal surface of a paraboloid of revolution (uhspr). In this report, the viscosity of the Carreau fluid corresponding to an infinite shear-rate is assumed as zero, meanwhile, the viscosity corresponding to zero shear-rate, density, thermal conductivity, and heat capacity were assumed to vary with the volume fraction of nanoparticles. The governing equation that models the transport phenomenon were non-dimensionalized and parameterized using suitable similarity variables and solved numerically using classical Runge-Kutta method with shooting techniques and MATLAB bvp4c package for validation. The results show that temperature distribution across the flow decreases more significantly with buoyancy-related parameter when the influence of partial slip was maximized. Maximum velocity of the flow is ascertained at larger values of partial slip and buoyancy parameters. At smaller values of Deborah number and large values of volume fraction, 806

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Section: Introductionmentioning

confidence: 99%

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Kọrikọ

Animasaun

Mahanthesh

et al. 2018

Heat Trans. Asian Res.

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“…Williamson boundary layer flows by Amanulla et al [42]. In the Keller box scheme, the multidegree, multi-order coupled partial differential equations defined in (14) and 15are first reduced to a system of first order equations.…”

Section: Computational Solution With Keller Box Implicit Methodsmentioning

confidence: 99%

Slip Effects on MHD Flow of a Williamson Fluid from an Isothermal Sphere: A Numerical Study

Nagendra¹,

Amanulla²,

Reddy³

2017

MMC_B

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In the present paper, we investigated mathematical model of the magneto hydrodynamic flow and heat transfer in an electro-conductive polymer on the external surface of a sphere under radial magnetic field is presented. Thermal and velocity (hydrodynamic) slip are considered at the sphere surface via. modified boundary conditions. The non-dimensional, 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, magnetic body force parameter, thermal slip parameter, hydrodynamic slip 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 sphere surface with increasing Weissenberg number. Increasing thermal slip strongly decreases skin friction and Nusselt number. Skin friction is also depressed with increasing magnetic body force parameter. Increasing momentum slip is observed to decrease skin friction. Nusselt number is reduced with increasing Weissenberg number. Skin friction is increased whereas Nusselt number is reduced with greater stream wise coordinate. The study is relevant to smart coating transport phenomena.

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“…This technique has been described succinctly in Cebeci and Bradshaw [43] and Keller [44]. It has been used recently in polymeric flow dynamics by Amanulla et al [35][36][37][38]48] for viscoelastic models and Rao et al [45][46][47] for non-Newtonian fluids. Very few of these papers, however, have provided guidance for researchers as to customization of the Keller-Box scheme to heat transfer problems.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Numerical investigations on magnetic field modeling for Carreau non-Newtonian fluid flow past an isothermal sphere

Amanulla

Wakif

Boulahia

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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In the current study, the effects of radial magnetic field, slip and jump conditions on the steady two-dimensional free convective boundary layer flow over an external surface of an isothermal sphere for an electro-conductive polymer are numerically studied. It is assumed that the studied fluid has a non-Newtonian rheological behavior and follows the Carreau fluid model. In this investigation, the formulation of the Carreau fluid model has been used first time for describing the present boundary layer problem, and then the resulting partial differential equations are transformed to ordinary differential equations by using non-similarity transformations. The obtained ordinary differential equations are solved numerically by a well-known method named as Keller-Box method. The finding results show that a weak elevation in temperature is accompanied with the increase in the Carreau fluid parameter, whereas a significant acceleration in the flow is computed near the sphere surface. It is shown also that an increase in the thermal slip parameter allows to strongly decrease both the skin friction coefficient and the local Nusselt number. The skin friction coefficient is also depressed with increasing magnetic body force parameter. Moreover, it is observed that an increase in the momentum slip parameter allows to decrease the skin friction coefficient, whereas the local Nusselt number is reduced with the increase in the Carreau fluid parameter. It is found also that the skin friction coefficient is increased with greater stream-wise coordinate, whereas the local Nusselt number is reduced with the increase in this parameter.

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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

Cited by 19 publications

References 47 publications

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Slip Effects on MHD Flow of a Williamson Fluid from an Isothermal Sphere: A Numerical Study

Numerical investigations on magnetic field modeling for Carreau non-Newtonian fluid flow past an isothermal sphere

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