Combine effects of Magnetohydrodynamics (MHD) and partial slip on peristaltic Blood flow of Ree–Eyring fluid with wall properties

Bhatti, Muhammad Mubashir; Abbas, Munawwar Ali; Rashidi, Majid

doi:10.1016/j.jestch.2016.05.004

Cited by 76 publications

(47 citation statements)

References 32 publications

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“…Equations (17)(18)(19) are to be inverted to obtain the velocity, temperature, and concentration in the time domain. To achieve this, the method of numerical inversion of the Laplace transform is used, as the Laplace inverse of the above solutions (17)(18)(19) does not admit closed-form analytical solutions in the time domain.…”

Section: U Dymentioning

confidence: 99%

“…2 Moreover, due to the increasing applications of the magnetic field in industrial processes, research on magnetohydrodynamic (MHD) natural convection heat and mass transfer flows in porous media has gained immense interest from scientists and researchers across the globe. Some of the important investigations in this direction are due to Jha, 3 Cheng, 4 Postelnicu, 5 Chamkha et al, 6 Hussanan et al, 7 Seth et al, 8 Seth and Sarkar, 9 Khan et al, 10 Ali et al, 11 Sarkar and Seth, 12 Mohamad et al, 13 Seth et al, 14,15 Bhatti et al, [16][17][18] and Rashidi et al 19,20 In addition, an increasing interest for microchannel fluid mechanics and heat exchange has ascended of late due to plausible cooling applications in space frameworks, material processing, manufacturing activities, and in high power-density chips in supercomputers and different electronics. As this area keeps on developing, it turns out to be progressively essential to comprehend the components and major contrasts required with fluid mechanics and heat transfer in microchannels (Shen 21 ).…”

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confidence: 99%

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Temporal analysis of dual phase‐lag double‐diffusive MHD flow within a porous microchannel with chemical reaction

Endalew

Sarkar

2019

Heat Trans. Asian Res.

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A novel investigation is carried out to capture the transient effects of a dual phase‐lag (DPL) model for combined heat and mass transfer magnetohydrodynamic (MHD) flow within a porous microchannel in the presence of Dufour effects and homogenous first‐order chemical reaction. The governing equations for the fluid flow problem are solved using the Laplace transform method, which is a powerful technique for solving partial differential equations. Its inversion is done by using the INVLAP subroutine of MATLAB. The numerical values of fluid velocity, fluid temperature, and species concentration are demonstrated graphically and those of skin friction, heat transfer rate, and mass transfer rate are presented through tables. It is for the first time that the actual time gap between the DPL model, the Cattaneo‐Vernotte model, and the classical Fourierʼs model has been deciphered and the results unique to the DPL model are presented. We observe a clear difference between the DPL and the other two models at a dimensionless time t = 0.02, which gradually diminishes as time progresses, and all models coincide together at t = 0.4, that is, where a steady state temperature is reached. An important contribution of this study lies in discovering the time‐bound effects of the phase‐lag parameters of the DPL model on fluid temperature, species concentration, and fluid velocity and support them by physical justification. A similar discussion is provided for all other flow parameters. The results conveyed through this study would undoubtedly help researchers to advance the design of mechanical systems in microdevices involving MHD flow in porous media.

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Section: U Dymentioning

confidence: 99%

mentioning

confidence: 99%

Temporal analysis of dual phase‐lag double‐diffusive MHD flow within a porous microchannel with chemical reaction

Endalew

Sarkar

2019

Heat Trans. Asian Res.

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“…Equations (2)- (7) reduce to the following two nondimensional equations after employing Equations (13) and (14). dp dx…”

Section: Modellingmentioning

confidence: 99%

The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body

Zeeshan

Ijaz

Abbas³

et al. 2018

Sustainability

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This study deals with the peristaltic transport of non-Newtonian Jeffrey fluid with uniformly distributed identical rigid particles in a rectangular duct. The effects of a magnetohydrodynamics bio-bi-phase flow are taken into account. The governing equations for mass and momentum are simplified using the fact that wavelength is much greater than the amplitude and small Reynolds number. A closed-form solution for velocity is obtained by means of the eigenfunction expansion method whereby pressure rise is numerically calculated. The results are graphically presented to observe the effects of different physical parameters and the suitability of the method. The results for hydrodynamic, Newtonian fluid, and single-phase problems can be respectively obtained by taking the Hartmann number (M = 0), relaxation time (λ 1 = 0), and volume fraction (C = 0) as special cases of this problem.

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“…No doubt wall slip appears in complex liquids comprising suspensions, emulsions, foams and polymer analysis. The liquids which communicate boundary slip characteristics possess considerable demands in internal cavities and artificial heart valves [23]. MHD slip flow near a stagnation point in the presence of variable thicked surface is investigated by Khan et al [24] and Babu and Sandeep [25].…”

Section: Introductionmentioning

confidence: 99%

Chemically reactive flow of upper-convected Maxwell fluid with Cattaneo–Christov heat flux model

Khan

Waqas

Hayat

et al. 2017

J Braz. Soc. Mech. Sci. Eng.

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Combine effects of Magnetohydrodynamics (MHD) and partial slip on peristaltic Blood flow of Ree–Eyring fluid with wall properties

Cited by 76 publications

References 32 publications

Temporal analysis of dual phase‐lag double‐diffusive MHD flow within a porous microchannel with chemical reaction

Temporal analysis of dual phase‐lag double‐diffusive MHD flow within a porous microchannel with chemical reaction

The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body

Chemically reactive flow of upper-convected Maxwell fluid with Cattaneo–Christov heat flux model

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