MHD free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature

Nasrin, Rehena; Alim, Md. Abdul

doi:10.3329/jname.v6i2.4994

Cited by 12 publications

(11 citation statements)

References 15 publications

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“…It is apparent that higher values of variable viscosity parameter initially slightly increases the Williamson fluid velocity near the cylinder surface (wall); however, the dominant effect is a deceleration which extends through the majority of the boundary layer region, and it is attributable to the reduction in momentum diffusion. A similar response has been reported by Kafoussias and Williams (1995) and Nasrin and Alim (2009), among many other studies. Figures 7 and 8 exhibit the influence of variable thermal conductivity parameter δ * on nanofluid velocity and temperature.…”

Section: Resultssupporting

confidence: 90%

Computation of non-similar solution for magnetic pseudoplastic nanofluid flow over a circular cylinder with variable thermophysical properties and radiative flux

Bég

Basha

Sivaraj

et al. 2020

HFF

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Purpose Generally, in computational thermofluid dynamics, the thermophysical properties of fluids (e.g. viscosity and thermal conductivity) are considered as constant. However, in many applications, the variability of these properties plays a significant role in modifying transport characteristics while the temperature difference in the boundary layer is notable. These include drag reduction in heavy oil transport systems, petroleum purification and coating manufacturing. The purpose of this study is to develop, a comprehensive mathematical model, motivated by the last of these applications, to explore the impact of variable viscosity and variable thermal conductivity characteristics in magnetohydrodynamic non-Newtonian nanofluid enrobing boundary layer flow over a horizontal circular cylinder in the presence of cross-diffusion (Soret and Dufour effects) and appreciable thermal radiative heat transfer under a static radial magnetic field. Design/methodology/approach The Williamson pseudoplastic model is deployed for rheology of the nanofluid. Buongiorno’s two-component model is used for nanoscale effects. The dimensionless nonlinear partial differential equations have been solved by using an implicit finite difference Keller box scheme. Extensive validation with earlier studies in the absence of nanoscale and variable property effects is included. Findings The influence of notable parameters such as Weissenberg number, variable viscosity, variable thermal conductivity, Soret and Dufour numbers on heat, mass and momentum characteristics are scrutinized and visualized via graphs and tables. Research limitations/implications Buongiorno (two-phase) nanofluid model is used to express the momentum, energy and concentration equations with the following assumptions. The laminar, steady, incompressible, free convective flow of Williamson nanofluid is considered. The body force is implemented in the momentum equation. The induced magnetic field strength is smaller than the external magnetic field and hence it is neglected. The Soret and Dufour effects are taken into consideration. Practical implications The variable viscosity and thermal conductivity are considered to investigate the fluid characteristic of Williamson nanofluid because of viscosity and thermal conductivity have a prime role in many industries such as petroleum refinement, food and beverages, petrochemical, coating manufacturing, power and environment. Social implications This fluid model displays exact rheological characteristics of bio-fluids and industrial fluids, for instance, blood, polymer melts/solutions, nail polish, paint, ketchup and whipped cream. Originality/value The outcomes disclose that the Williamson nanofluid velocity declines by enhancing the Lorentz hydromagnetic force in the radial direction. Thermal and nanoparticle concentration boundary layer thickness is enhanced with greater streamwise coordinate values. An increase in Dufour number or a decrease in Soret number slightly enhances the nanofluid temperature and thickens the thermal boundary layer. Flow deceleration is induced with greater viscosity parameter. Nanofluid temperature is elevated with greater Weissenberg number and thermophoresis nanoscale parameter.

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Section: Resultssupporting

confidence: 90%

Computation of non-similar solution for magnetic pseudoplastic nanofluid flow over a circular cylinder with variable thermophysical properties and radiative flux

Bég

Basha

Sivaraj

et al. 2020

HFF

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“…We consider the flow under the usual approximation of Boussinesq governed by successive equations of boundary [2,5,10,20,27,29,30]:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Molla et al [26] studied natural convective flow together with uniform surface temperature across a vertical surface, which was wavy in the existence of warmth absorption/creation. Nasrin and Alim [27] worked with free convective flow under the influence of an MHD field along with a flat plate that was vertical with viscosity and the thermal conductivity varied with temperature. The variation of viscosity and thermal conductivity in a vertical plate was examined numerically by Palani and Kim [28].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface

Saha

Parveen

Islam

2022

Advances in Mathematical Physics

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The effects of thermal conductivity which depend on temperature are conversely proportional with the linear function of temperature on free convective flow where the fluid is viscous and incompressible along a heated uniform and the vertical wavy surface has been examined in this study. The boundary layer equations with the associated boundary conditions that govern the flow are converted into a nondimensional form by using an appropriate transformation. In the domain of a vertical plate that is flat, the resulting method of nonlinear PDEs is mapped and then worked out numerically by applying the implicit central finite difference technique with Newton’s quasilinearization method, and the block Thomas algorithm is well known as the Keller-box method. The outputs are obtained in the terms of the heat transferring rate, the frictional coefficient of skin, the isotherms, and streamlines. The outcomes showed that the local heat transferring rate, the local skin friction coefficient, the temperature, and the velocity all are decreasing, and both the thermal layer of boundary and velocity become narrower with the rising values of reciprocal variation of temperature-dependent thermal conductivity. On the other hand, the friction coefficient of skin, the velocity, and the temperature decrease where the friction coefficient of skin and velocity decrease by 43% and 64%, respectively, but the heat transfer rate increases by 61% approximately, and both the boundary layer thermal and velocity become thinner when the Prandtl number increases.

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“…Rahman et al [32] have investigated the effects of temperature dependent thermal conductivity on MHD free convection flow along a vertical flat plate with heat conduction. MHD free convection flow along a vertical plate with thermal conductivity and viscosity depending on temperatur was studied by Rehena and Alim [33].…”

Section: Introductionmentioning

confidence: 99%

Temperature-dependent viscosity effects on free convection flow over a vertical moving cylinder with constant axial velocity under consideration of radial magnetohydrodynamic

Rouzbahani

Alizadeh

2016

J. Fundam and Appl Sci.

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MHD free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature

Abstract: Abstract:In

Cited by 12 publications

References 15 publications

Computation of non-similar solution for magnetic pseudoplastic nanofluid flow over a circular cylinder with variable thermophysical properties and radiative flux

Computation of non-similar solution for magnetic pseudoplastic nanofluid flow over a circular cylinder with variable thermophysical properties and radiative flux

Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface

Temperature-dependent viscosity effects on free convection flow over a vertical moving cylinder with constant axial velocity under consideration of radial magnetohydrodynamic

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