Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

Awais, Muhammad; Hayat, Tasawar; Nawaz, M.; Alsaedi, Ahmed

doi:10.1590/0104-6632.20150322s00001918

Cited by 27 publications

(18 citation statements)

References 19 publications

(16 reference statements)

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“…The small magnitude of magnetic Reynolds number is chosen such that we have negligible induced magnetic field as compared to applied magnetic field. In view of the stated assumptions, boundary layer expression that govern the flow and temperature in dimensional form can be mathematical given as [26]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Hydromagnetic Falkner-Skan fluid rheology with heat transfer properties

et al. 2020

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Original scientific paper https://doi.org/10.2298/TSCI180509312A This article addresses the effects of heat transfer on magnetohydrodynamic Falkner-Skan wedge flow of a Jeffery fluid. The continuity, momentum and energy balance equations yield the relevant PDE which are transforms to ODE by exploitation of similarity variables. Strength of optimal homotopy series solutions is practiced to solved analytically the transformed ODE model of hydromagnetic Falkner-Skan fluid rheology with heat transfer scenarios. The graphical and numerical illustrations of the result are presented for different interesting flow parameters. Numerical values of Nusselt number are tabulated. It is observed that for the Falkner-Skan rheology, the applied magnetic field acts as a controlling agnet which controls the fluids velocity up to the desired value whereas Debrorah number enhances the fluid velocity.

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Section: Mathematical Formulationmentioning

confidence: 99%

Hydromagnetic Falkner-Skan fluid rheology with heat transfer properties

et al. 2020

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“…Recently, Hayat et al [28] analyzed the boundary layer convection in a Walters-B fluid subject to Newtonian heating. Awais et al [29] disclosed the features of thermal diffusivity and Newtonian heating in a given axis-symmetrical Jeffrey liquid flow bounded by a stretching flat/surface. Farooq et al [30] analyzed the MHD convective flow of Jeffrey fluid with Newtonian heating.…”

Section: Introductionmentioning

confidence: 99%

Second Grade Bioconvective Nanofluid Flow with Buoyancy Effect and Chemical Reaction

et al. 2020

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This study mainly concerns with the examination of heat transfer rate, mass and motile micro-organisms for convective second grade nanofluid flow. The considered model comprises of both nanoparticles as well as gyrotactic micro-organisms. Microorganisms stabilize the suspension of nanoparticles by bio-convective flow which is generated by the combined effects of nanoparticles and buoyancy forces. The Brownian motion and thermophoretic mechanisms along with Newtonian heating are also considered. Appropriately modified transformations are invoked to get a non-linear system of differential equations. The resulting problems are solved using a numerical scheme. Velocity field, thermal and solute distributions and motile micro-organism density are discussed graphically. Wall-drag (skin-friction) coefficient, Nusselt, Sherwood and motile micro-organisms are numerically examined for various parameters. The outcomes indicate that for a larger Rayleigh number, the bio-convection restricts the upward movement of nanoparticles that are involved in nanofluid for the given buoyancy effect. Furthermore, larger buoyancy is instigated which certainly opposes the fluid flow and affects the concentration. For a larger values of fluid parameter, the fluid viscosity faces a decline and certainly less restriction is faced by the fluid. In both assisting and opposing cases, we notice a certain rise in fluid motion. Thermal layer receives enhancement for larger values of Brownian diffusion parameter. The random motion for stronger Brownian impact suddenly raises which improves the heat convection and consequently thermal distribution receives enhancement. Thermal distribution receives enhancement for a larger Lewis number whereas the decline is noticed in concentration distribution. The larger Rayleigh number results in a strong buoyancy force that effectively increases the fluid temperature. This also increases the concentration difference, thus more nanoparticles transport between surface and micro-organisms. Furthermore, for larger (Nb), the thermal state of fluid receives enhancement while a decline in motile density is observed. Numerical results show that mass flux is an enhancing function of both the (Le) and (Nb).

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“…Zahid et al [14] investigated the dual effects of viscous dissipation and thermal radiation on the stagnation point flow induced by an exponentially stretching wall. Awais et al [15] studied the combined effects of Newtonian heating, thermal diffusion and diffusion thermos on an axisymmetric non-Newtonian fluid flow. In the present analysis, we have explored the solution for the internal heat generation/absorption phenomenon of the non-Newtonian Upper-convected-Maxwell fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Effect of magnetic field and heat source on Upper-convected-maxwell fluid in a porous channel

et al. 2018

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The effect of magnetic field on the flow of the UCMF (Upper-Convected-Maxwell Fluid) with the property of a heat source/sink immersed in a porous medium is explored. A shrinking phenomenon along with the permeability of the wall are considered. The governing equations for the motion and transfer of heat of the UC MF along with boundary conditions are converted into a set of coupled nonlinear mathematical equations. Appropriate similarity transformations are used to convert the set of nonlinear partial differential equations into nonlinear ordinary differential equations. The modeled ordinary differential equations have been solved by the Homotopy Analysis Method (HAM). The convergence of the series solution is established. For the sake of comparison, numerical (ND-Solve method) solutions are also obtained. Special attention is given to how the non-dimensional physical parameters of interest affect the flow of the UCMF. It is observed that with the increasing Deborah number the velocity decreases and the temperature inside the fluid increases. The results show that the velocity and temperature distribution increases with a porous medium. It is also observed that the magnetic parameter has a decelerating effect on velocity while the temperature profiles increases in the entire domain. Due to the increase in Prandtl number the temperature profile increases. It is also observed that the heat source enhance the thermal conductivity and increases the fluid temperature while the heat sink provides a decrease in the fluid temperature.

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Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

Cited by 27 publications

References 19 publications

Hydromagnetic Falkner-Skan fluid rheology with heat transfer properties

Hydromagnetic Falkner-Skan fluid rheology with heat transfer properties

Second Grade Bioconvective Nanofluid Flow with Buoyancy Effect and Chemical Reaction

Effect of magnetic field and heat source on Upper-convected-maxwell fluid in a porous channel

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