Computer modelling of electro-osmotically augmented three-layered microvascular peristaltic blood flow

Tripathi, Dharmendra; Borode, Abhilesh; Jhorar, Ravinder; Bég, O. Anwar; Tiwari, Abhishek Kumar

doi:10.1016/j.mvr.2017.06.004

Cited by 48 publications

(8 citation statements)

References 34 publications

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“…Tripathi et al [11] worked on Bingham and power-law fluid in a channel. e results are extended for three-layer fluids by Tripathi et al [24] and were reported in 2017.…”

Section: Introductionsupporting

confidence: 60%

Flow Analysis of Two-Layer Nano/Johnson–Segalman Fluid in a Blood Vessel-like Tube with Complex Peristaltic Wave

Zeeshan

Riaz

Alzahrani

et al. 2022

Mathematical Problems in Engineering

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Biologically inspired micropumps using the phenomena of peristalsis are highly involved in targeted drugging in pharmacological engineering. This study analyzed theoretically the transport of two immiscible fluids in a long flexible tube. The core region contains Johnson–Segalman non-Newtonian fluid, while the peripheral region is saturated by nanofluid. It is assumed that Darcy’s porous medium is encountered close to the walls of the tube. A complex peristaltic wave is transmitted on the compliant wall which induces the flow. Equations of continuity, momentum, energy, and nanoparticle concentration are used in modelling the problem. The modelled problem for both the regions, i.e., core and peripheral regions are developed with the assumptions of long wavelength and creeping flow. Temperature, velocity, and shear stress at the interface are assumed to be equal. The system of equations is solved analytically. The graphical results for different involving parameters are displayed and thoroughly discussed. It is received that the heat transfer goes inverse with fluid viscosity in the peripheral region, but opposite measurements are obtained in the core region. This theoretical model may be considerable in some medical mechanisms such as targeted drug delivery, differential diagnosis, and hyperthermia. Moreover, no study on non-Newtonian nanofluid is reported yet for the two-layered flow system, so this study will give a good addition in the literature of biomedical research.

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“…Tripathi et al [11] worked on Bingham and power-law fluid in a channel. e results are extended for three-layer fluids by Tripathi et al [24] and were reported in 2017.…”

Section: Introductionsupporting

confidence: 60%

Flow Analysis of Two-Layer Nano/Johnson–Segalman Fluid in a Blood Vessel-like Tube with Complex Peristaltic Wave

Zeeshan

Riaz

Alzahrani

et al. 2022

Mathematical Problems in Engineering

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“…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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“…The equations governing the flow with an incompressible, electrohydrodynamics (EHD) of hyperbolic tangent nanofluid in the presence of gravitational forces are given by [15][16][17][18] and [29,30] in which S̄̄,S̄̄ and S̄̄ are shear stress components of hyperbolic tangent which are defined as:…”

Section: Governing Equationsmentioning

confidence: 99%

“…Accordingly, quite a few mathematical models governing peristaltic motion have been studied. Especially physiological flows are driven by the combined effects of peristaltic pumping and popular external effects (electromagnetic, electroosmosis) [12][13][14][15][16][17][18] that have been reported in the literature. The narrowness of the conduits involved with peristalsis has made it attractive to especially the lubrication theory.…”

Section: Introductionmentioning

confidence: 99%

Electroosmotic flow of pseudoplastic nanoliquids via peristaltic pumping

Prakash¹,

Jhorar

Tripathi

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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The study of electroosmotic flow of biorheological fluids has been employed in the advancement of diversified biomicrofluidics systems. To explore more in this field, a mathematical model is developed to investigate the electroosmotic flow of pseudoplastic aqueous nanoliquids in microchannel. A tangent hyperbolic fluid model is employed to describe the rheological behavior of the pseudoplastic fluid. Here, analytical solutions for potential distribution, temperature and nanoparticle fraction are derived and perturbation solution for stream function, pressure gradient and volumetric flow rate are obtained. The convective boundary condition is applied on the channel walls. The authentic assumptions of Debye-Hückel linearization, long wavelength and small Reynold's number are employed in the dimensional conservative equations. The influences of various emerging parameters are graphically computed for axial velocity, pressure gradient, thermal temperature, nanoparticle volume fraction, skin friction coefficient and Nusselt profiles. To observe the thermal radiation effects, a thermal radiative flux model is also deployed. It is noticed that the heat transfer Biot number increases with increasing thermal temperature; however, a reversed behavior is reported for the nanoparticle volume fraction. Therefore, the present model does not only provide a deep theoretical insight to interpret the electroosmotic flow systems, but it will also be applicable in designing the emerging tool for biomicrofluidic devices/systems under peristalsis mechanisms.

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Computer modelling of electro-osmotically augmented three-layered microvascular peristaltic blood flow

Cited by 48 publications

References 34 publications

Flow Analysis of Two-Layer Nano/Johnson–Segalman Fluid in a Blood Vessel-like Tube with Complex Peristaltic Wave

Flow Analysis of Two-Layer Nano/Johnson–Segalman Fluid in a Blood Vessel-like Tube with Complex Peristaltic Wave

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

Electroosmotic flow of pseudoplastic nanoliquids via peristaltic pumping

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