Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel: mathematical model

Tripathi, Dharmendra; Jhorar, Ravindra; Bég, O. Anwar; Shaw, Sachin

doi:10.1007/s11012-017-0795-x

Cited by 64 publications

(24 citation statements)

References 43 publications

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“…Thermally developed peristaltic propulsion of magnetic solid particles in biorheological fluids is studied by Batti et al [27]. Electro-osmosis-modulated peristaltic biorheological flow through an asymmetric micro-channel is investigated by Tripathi et al [28]. Further, Tripathi et al [29] examined the computer modelling of electroosmotically augmented three-layered micro-vascular peristaltic blood flow.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic transport of a power-law fluid in an elastic tube

Selvi

Srinivas

Sreenadh

2018

Journal of Taibah University for Science

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A mathematical model is proposed to study the influence of elasticity on the peristaltic flow of a generalized Newtonian fluid in a tube. A power-law model is considered in the present study to understand the effect of elasticity on the peristaltic flow of blood through arteries. Application of blood flow through arteries is studied by expressing a relationship between pressure gradient and volume flow rate in an elastic tube. The results show the significant effect of elasticity on flow quantities. It is observed that the flux increases as the fluid behaviour index increases and that the flux is more for a Newtonian fluid when compared to non-Newtonian cases. The trapping phenomenon is presented graphically for various physical parameters. The results obtained in the present study are compared with an earlier investigation of Vajravelu et al. (Peristaltic transport of a Herschel-Bulkley fluid in an elastic tube. Heat Transf-Asian Res. 2014;44:585-598).

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Section: Introductionmentioning

confidence: 99%

Peristaltic transport of a power-law fluid in an elastic tube

Selvi

Srinivas

Sreenadh

2018

Journal of Taibah University for Science

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“…The Cauchy

τ

and extra stress tensor

bold-italicJ

for Jeffrey ionic liquid are related by 12

bold-italicτ infixbold= - p boldI + bold-italicJ bold-italic,

J = - \frac{μ}{1 + λ_{1}} true(\dot{γ} + λ_{2} \ddot{γ} true),

with

{\hat{J}}_{XX} = \frac{2 μ}{1 + λ_{1}} (1 + λ_{2} (\frac{\partial}{\partial \overset{t}{true}} + \overset{F}{true} \frac{\partial}{\partial \overset{X}{true}} + \overset{G}{true} \frac{\partial}{\partial \overset{Y}{true}})) \frac{\partial \overset{F}{true}}{\partial \overset{X}{true}},

{\hat{J}}_{XY} = \frac{2 μ}{1 + λ_{1}} (1 + λ_{2} (\frac{\partial}{\partial \overset{t}{true}} + \overset{F}{true} \frac{\partial}{\partial \overset{X}{true}} + \overset{G}{true} \frac{\partial}{\partial \overset{Y}{true}})) (\frac{\partial \overset{G}{true}}{\partial \overset{X}{true}} + \frac{\partial \overset{F}{true}}{\partial \overset{Y}{true}}) = {\hat{J}}_{YX},

{\overset{J}{true}}_{italicYY} = \frac{2 μ}{1 + λ_{1}} true(

…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Goswami et al 11 studied the effects of electroosmosis and peristalsis for power‐law fluids in 2006. Electroosmosis linked with peristalsis for the Jeffrey fluid was studied by Tripathi et al 12 Ranjit and Shit 13 shed light on the same subject connected to the magnetic field aspect. The analytical study was made by Prakash and Tripathi, 14 they have investigated another structural aspect of peristaltic pumping linked with electrokinetics of Williamson ionic liquid.…”

Section: Introductionmentioning

confidence: 99%

Soret‐Dufour effects in electroosmotic biorheological flow of Jeffrey fluid

Noreen

Riaz

2020

Heat Trans

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The Soret and Dufour cross-diffusion on the electrokinetic flow of Jeffrey fluid augmented with peristalsis have been presented. The fundamental equations are employed to predict the mass distribution in the two-dimensional asymmetric electroosmotic channel. Reliable approximations such as low Peclet, low Reynolds, and large wavelength are utilized. The analytical solutions of the concentration, temperature, velocity, and stream function are obtained. To predict the effects of prominent parameters such as fluid parameter, electroosmotic parameter, Brinkman, Soret, and Schmidt number graphs are plotted. The phenomenon of trapping is also discussed to observe the behavior on streamlines. It is observed that the electroosmotic parameter enhances the temperature profile. With the increase in Jeffrey fluid parameter, the Nusselt number is decreased. Furthermore, the concentration is decreased with the elevation in Soret and Schmidt numbers. The current study can help reduce the conversion stages necessary for the integration of the low voltage output in an electrokinetic biomass process. K E Y W O R D S electrokinetic transport, Jeffrey fluid, mass transfer, peristaltic pumping

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“…Ranjit et al [4] worked on the electromagneto-hydrodynamic flow via peristaltically induced microchannel along the effects of Joule heating and wall slip. Furthermore, Tripathi et al [5] scrutinized the mathematical model on electroosmosis in peristaltic biorheological flow through an asymmetric microfluidic channel. Jhorar et al [6] proposed the peristaltic modulation of electroosmosis in an asymmetric microfluidic channel for viscous fluid.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic motion of MHD nanofluid in an asymmetric micro-channel with Joule heating, wall flexibility and different zeta potential

Noreen

Hussanan

2019

Bound Value Probl

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A mathematical scrutiny is introduced for the flow of magneto-hydrodynamic nanofluid through an asymmetric microfluidic channel under an applied axial electric field. The impacts of wall flexibility, Joule heating and upper/lower wall zeta potentials are considered. Electric potential expressions can be modeled in terms of an ionic Nernst-Planck equation, Poisson-Boltzmann equation and Debye length approximation. Appropriate boundary conditions have been utilized to get the results of highly nonlinear coupled PDEs numerically. The impact of physical factors on the characteristics of flow, pumping, trapping and heat transfer has been pointed out. The outcomes may well assist in designing the organ-on-a-chip like gadgets.

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Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel: mathematical model

Abstract: Ti t l e El e c t r o o s m o si s m o d ul a t e d p e ri s t al tic bio r h e olo gic al flow t h r o u g h a n a s y m m e t ri c mi c r o c h a n n el : m a t h e m a ti c al m o d el A u t h o r s Tri p a t hi, D, Jho r ar, R, Be g, OA a n d S h aw, S

Cited by 64 publications

References 43 publications

Peristaltic transport of a power-law fluid in an elastic tube

Peristaltic transport of a power-law fluid in an elastic tube

Soret‐Dufour effects in electroosmotic biorheological flow of Jeffrey fluid

Peristaltic motion of MHD nanofluid in an asymmetric micro-channel with Joule heating, wall flexibility and different zeta potential

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