Unsteady MHD flow of a dusty non-Newtonian Bingham fluid through a circular pipe

Attia, Hazem Ali

doi:10.1590/s1678-58782006000300003

Cited by 4 publications

(4 citation statements)

References 9 publications

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“…Generalized Ohm's law in which ion-slip and pressure-diffusion effects are neglected. The current density  J with Hall current is given by [26,27,39].…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Das et al [25] studied the influence of the Hall effect and ramped temperature on MHD unsteady natural convective flow of electrically conducting incompressible fluid crossed an impulsively moving infinite vertical plate. Attia [26] presented the transient flow of a dusty Bingham fluid with effect in a circular pipe. Satya Narayana et al [27] studied heat and mass transfer and Hall current effect on natural convective MHD flow in a porous plate.…”

Section: Introductionmentioning

confidence: 99%

“…For solving equation(26) we have to compute the residues at poles s=0, = l -, n=1, 2, K. and therefore, (…”

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confidence: 99%

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Hall effect on MHD transient free convection flow of chemically reactive Casson fluid with heat source/sink past an infinite vertical cylinder

Mahato¹,

Das²,

Sibanda³

2020

Phys. Scr.

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This article presents an analytical investigation of the effect of Hall current, magnetic field, and chemical reaction on an unsteady MHD transient free convection heat and mass transfer flow of viscous incompressible, electrically conducting Casson fluid past an infinite vertical cylinder subject to heat source and sink. Closed-form solutions are obtained by employing Laplace transform and inverted using Mellin-Fourier integral and presented them in terms of Bessel functions and modified Bessel functions. To get an insight into the model, we have depicted the graphs of velocity, temperature and concentration profiles for various values of the pertinent flow parameters. The values of Sherwood number, Nusselt number, and skin friction are calculated and presented in the tabular form. Further, we have also considered a special case and investigate the velocity profiles of the Newtonian fluid for both heat source and sink as the Casson parameter α→∞. From the investigation, it is perceived that with an increase in the values of chemical reaction parameters the species concentration and the velocity of the Casson fluid get reduced while its reverse trend has been observed on Sherwood number and skin friction. With an increase in the Prandtl number the fluid temperature decreases whereas, the Nusselt number increases. A crossing over point is observed in velocity distribution for the Hall current parameter. This fluid flow model will be applicable in geophysics, mining industry, chemical and biomedical engineering such as underground energy system, electromagnetic material production, and automotive fuel level indication, etc. NomenclatureREVISED

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“…Generalized Ohm's law in which ion-slip and pressure-diffusion effects are neglected. The current density  J with Hall current is given by [26,27,39].…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hall effect on MHD transient free convection flow of chemically reactive Casson fluid with heat source/sink past an infinite vertical cylinder

Mahato¹,

Das²,

Sibanda³

2020

Phys. Scr.

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show abstract

“…Ryskin [19] studied the conical-channel flow of a dilute polymer solution and calculated the velocity and stress fields in the presence of polymer additive and discussed the differences between the his proposed model and the elastic-dumbbell models. Attia [20] explored the transient magnetohydrodynamic flow of a dusty electrically conducting Bingham fluid flowing through a pipe with considering the Hall effect; he assumed the particlephase to behave as a viscous fluid and obtained a numerical solution for the nonlinear equations. Kumari and Gorla [21] analyzed the MHD boundary layer flow in a wedge for a non-Newtonian nanofluid.…”

Section: Introductionmentioning

confidence: 99%

Vortex behavior of particle suspension flow in a wedge for the second-order fluid

Wang

Lin

Zhang

2018

J Braz. Soc. Mech. Sci. Eng.

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Effect of Weissenberg number, Reynolds number, Stokes number and wedge angle on the vortex behavior of particle suspension flow is investigated numerically in a wedge for the second-order viscoelastic fluid. The results show that there exist symmetrical vortices near the walls close to apex for different wedge angles, and the vortex length is inversely proportional to the wedge angle. Increase of the Reynolds number not only increases the vortex length but also their dependence on the Weissenberg number. The vortex length increases with the increase of Weissenberg number and finally reaches an asymptotic value. The vortex gradually developed as the Stokes number is decreased, and the vortex length has a maximum for the single phase flow. The presence of particles will suppress the development of vortex, and the suppression degree is directly proportional to the Stokes number. The Reynolds number has a larger impact on the vortex length than the wedge angle in the parameter region studied here. Keywords Two-phase flow Á Second-order viscoelastic fluid Á Particles Á Wedge flow Á Vortex behavior Á Numerical simulation

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Relative magnetic field analysis on Casson dusty fluid of two-phase fluctuating flow over a parallel plate: second law analysis

Khan

Rahman

Watthayu

et al. 2023

J Therm Anal Calorim

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Unsteady MHD flow of a dusty non-Newtonian Bingham fluid through a circular pipe

Cited by 4 publications

References 9 publications

Hall effect on MHD transient free convection flow of chemically reactive Casson fluid with heat source/sink past an infinite vertical cylinder

Hall effect on MHD transient free convection flow of chemically reactive Casson fluid with heat source/sink past an infinite vertical cylinder

Vortex behavior of particle suspension flow in a wedge for the second-order fluid

Relative magnetic field analysis on Casson dusty fluid of two-phase fluctuating flow over a parallel plate: second law analysis

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