Joule Heating Effects in MHD Flow of Burgers' Fluid

Hayat, Tasawar; Ali, S. Hyder; Awais, Muhammad; Alsaedi, Ahmed

doi:10.1615/heattransres.2016008093

Cited by 53 publications

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“…Obtained system of equations is solved through homotopic algorithm [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Physical quantities of interest are analyzed in detail.…”

Section: Introductionmentioning

confidence: 99%

Double stratfied flow of nanofluid subject to temperature based thermal conductivity and heat source

et al. 2020

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Stratified hydromagnetic flow of nanomaterial in the zone of stagnation point is addressed. An exponential base space dependent heat source, temperature dependent thermal conductivity and viscous dissipation are accounted. In addition, first order chemical reaction is present. The obtained non-linear system is computed by employing homotopic procedure. Convergent solutions are obtained. Plots and tabulated values are arranged for interpretation of sundry variables. Clearly temperature and concentration distributions are decayed in presence of stratification. Moreover skin friction and temperature are reduced via wall thickness parameter.

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“…Obtained system of equations is solved through homotopic algorithm [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Physical quantities of interest are analyzed in detail.…”

Section: Introductionmentioning

confidence: 99%

Double stratfied flow of nanofluid subject to temperature based thermal conductivity and heat source

et al. 2020

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“…The analysis of Newtonian heating in a stagnation point flow of Burgers' fluid has been presented by Hayat et al 27 The joule heating impacts on MHD boundary layer flow of Burgers' fluid over a stretched surface have been analyzed by Hayat. 28 The effect of internal heat generation/absorption and Newtonian heating in Erying-Powell fluid over a stretched surface has been examined by Hayat et al 29 The effect of thermal radiation and thermo-diffusion on Williamson fluid flow over a porous stretched/ shrinked sheet has been examined by Bhatti and Rashidi. 30 The effect of chemical reaction and thermal radiation on MHD flow of nanofluid gyrotactic microorganisms has been examined by Bhatti et al 31 Bhatti et al 32 presented the numerical method for solving stagnation point flow over a permeable shrinked sheet.…”

Section: Introductionmentioning

confidence: 99%

An optimal analysis for Darcy–Forchheimer three-dimensional Williamson nanofluid flow over a stretching surface with convective conditions

Dawar

Shah

Islam

et al. 2019

Advances in Mechanical Engineering

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The augmented thermal conductivity is significant in betterment of heat transfer behavior of fluids. A number of other physical quantities such as density, viscosity, and specific heat play the key role in fluid flow behavior. Investigators have shown that the nanofluids have not only superior heat conductivity but also have better convective heat transfer capability than the base fluids. In this article, the analysis of three-dimensional Williamson fluid has been carried out under investigation. The fluid flow is taken over a linear porous stretching sheet under the influence of thermal radiation. The transformed system of equations has been solved by homotopy analysis method. The impact of embedded parameters on the fluid flow has shown graphically. The velocity profile in x-direction is decreased with the augmented stretching, Williamson, coefficient of inertia, and porosity parameters. The velocity profile in y-direction is increased with the enlarged stretching parameter, while reduced with the augmented Williamson, coefficient of inertia, and porosity parameters. The temperature profile is increased with the enlarged stretching, radiation, thermophoresis, parameter and Brownian motion parameters, and Biot number while decreased with the increased Prandtl number. The concentration profile is increased with the increased thermophoresis parameter and Biot numbers, while decreased with the enlarged stretching and Brownian motion parameters.

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“…Nadeem et al (2013) investigated the two-dimensional boundary layer equations for Williamson liquid induced by a stretching surface. Kumaran and Sandeep (2017) (Farooq et al, 2018;Hayat et al, 2016a;Hayat et al, 2015;Khan et al, 2018d;Khan et al, 2018e;Hayat et al, 2016b).…”

Section: Introductionmentioning

confidence: 99%

Variable diffusion and conductivity change in 3D rotating Williamson fluid flow along with magnetic field and activation energy

Khan

Salahuddin

Yousaf

et al. 2019

HFF

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Purpose The purpose of the current flow configurations is to bring to attention the thermophysical aspects of magnetohydrodynamics (MHD) Williamson nanofluid flow under the effects of Joule heating, nonlinear thermal radiation, variable thermal coefficient and activation energy past a rotating stretchable surface. Design/methodology/approach A mathematical model is examined to study the heat and mass transport analysis of steady MHD Williamson fluid flow past a rotating stretchable surface. Impact of activation energy with newly introduced variable diffusion coefficient at the mass equation is considered. The transport phenomenon is modeled by using highly nonlinear PDEs which are then reduced into dimensionless form by using similarity transformation. The resulting equations are then solved with the aid of fifth-order Fehlberg method. Findings The rotating fluid, heat and mass transport effects are analyzed for different values of parameters on velocity, energy and diffusion distributions. Parameters like the rotation parameter, Hartmann number and Weissenberg number control the flow field. In addition, the solar radiation, Joule heating, Prandtl number, thermal conductivity, concentration diffusion coefficient and activation energy control the temperature and concentration profiles inside the stretching surface. It can be analyzed that for higher values of thermal conductivity, Eckret number and solar radiation parameter the temperature profile increases, whereas opposite behavior is noticed for Prandtl number. Moreover, for increasing values of temperature difference parameter and thermal diffusion coefficient, the concentration profile shows reducing behavior. Originality/value This paper is useful for researchers working in mathematical and theoretical physics. Moreover, numerical results are very useful in industry and daily-use processes.

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Joule Heating Effects in MHD Flow of Burgers' Fluid

Cited by 53 publications

References 0 publications

Double stratfied flow of nanofluid subject to temperature based thermal conductivity and heat source

Double stratfied flow of nanofluid subject to temperature based thermal conductivity and heat source

An optimal analysis for Darcy–Forchheimer three-dimensional Williamson nanofluid flow over a stretching surface with convective conditions

Variable diffusion and conductivity change in 3D rotating Williamson fluid flow along with magnetic field and activation energy

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