Electro-osmotic flow of couple stress fluids in a micro-channel propagated by peristalsis

Tripathi, Dharmendra; Yadav, Ashu; Bég, O. Anwar

doi:10.1140/epjp/i2017-11416-x

Cited by 76 publications

(29 citation statements)

References 47 publications

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“…Important constitutive models which could be considered therefore include powerlaw models [68], micropolar models [69] and couple stress models [70]. These would provide more comprehensive insight into non-Newtonian biological entropy simulation in electroosmotic peristalsis and indeed both couple stress [71] and viscoelastic models [72] are currently being explored.…”

Section: Discussionmentioning

confidence: 99%

Analytical Study of Electro-Osmosis Modulated Capillary Peristaltic Hemodynamics

Tripathi

Bhushan

Bég

2017

J. Mech. Med. Biol.

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A mathematical model is developed to analyze electro-kinetic effects on unsteady peristaltic transport of blood in cylindrical vessels of finite length. The Newtonian viscous model is adopted. The analysis is restricted under Debye–Hückel linearization (i.e., wall zeta potential [Formula: see text] 25[Formula: see text]mV) is sufficiently small). The transformed, nondimensional conservation equations are derived via lubrication theory and long wavelength and the resulting linearized boundary value problem is solved exactly. The case of a thin electric double layer (i.e., where only slip electro-osmotic velocity considered) is retrieved as a particular case of the present model. The response in pumping characteristics (axial velocity, pressure gradient or difference, volumetric flow rate, local wall shear stress) to the influence of electro-osmotic effect (inverse Debye length) and Helmholtz–Smoluchowski velocity is elaborated in detail. Visualization of trapping phenomenon is also included and the bolus dynamics evolution with electro-kinetic effects examined. A comparative study of train wave propagation and single wave propagation is presented under the effects of thickness of EDL and external electric field. The study is relevant to electrophoresis in haemotology, electrohydrodynamic therapy and biomimetic electro-osmotic pumps.

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Section: Discussionmentioning

confidence: 99%

Analytical Study of Electro-Osmosis Modulated Capillary Peristaltic Hemodynamics

Tripathi

Bhushan

Bég

2017

J. Mech. Med. Biol.

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“…Srinivas et al studied multimode heat transfer in channel flow of two immiscible couple stress fluids using the second law of thermodynamic optimization. Tripathi et al derived analytical solutions for electrokinetic peristaltic pumping of couple stress physiological fluids under an axial electrical field in microfluidic systems. The couple stress fluid theory has also been applied to a number of stretching sheet flow problems.…”

Section: Introductionmentioning

confidence: 99%

Application of differential transform method to unsteady free convective heat transfer of a couple stress fluid over a stretching sheet

Kumar

Reddy

Kumar

et al. 2018

Heat Trans. Asian Res.

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In the present article, the transient rheological boundary layer flow over a stretching sheet with heat transfer is investigated, a topic of relevance to non‐Newtonian thermal materials processing. Stokes couple stress model is deployed to simulate non‐Newtonian characteristics. Similarity transformations are utilized to convert the governing partial differential equations into nonlinear ordinary differential equations with appropriate wall and free stream boundary conditions. The nondimensional boundary value problem emerging is shown to be controlled by a number of key thermophysical and rheological parameters, namely the rheological couple stress parameter (β), unsteadiness parameter (A), Prandtl number (Pr), buoyancy parameter (λ). The semi‐analytical differential transform method (DTM) is used to solve the reduced nonlinear coupled ordinary differential boundary value problem. A numerical solution is also obtained via the MATLAB built‐in solver “bvp4c” to validate the results. Further validation with published results from the literature is included. Fluid velocity is enhanced with increasing couple stress parameter, whereas it is decreased with unsteadiness parameter. Temperature is elevated with couple stress parameter, whereas it is initially reduced with unsteadiness parameter. The flow is accelerated with increasing positive buoyancy parameter (for heating of the fluid), whereas it is decelerated with increasing negative buoyancy parameter (cooling of the fluid). Temperature and thermal boundary layer thickness are boosted with increasing positive values of buoyancy parameter. Increasing Prandtl number decelerates the flow, reduces temperatures, increases momentum boundary layer thickness, and decreases thermal boundary layer thickness. Excellent accuracy is achieved with the DTM approach.

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“…(26) and (27) to obtain It is well known that P m for the liquid sodium is of the order 10 −5 and for mercury it is of the order 10 −7 and hence terms in Eqs. (33) and (34) concerning B b , and u b − c in Eq. (34) can be neglected, provided that R is not too large.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The stability of free (natural) convection in a vertical couple stress fluid layer was investigated by Shankar et al [18] while later this study was extended by Shankar et al [26] and Shankar et al [27] to include a uniform AC electric field and magnetic field, respectively. In addition, many researchers investigated the effect of couple stresses on fluid flows in different contexts (Rudraiah et al [28], Shivakumar et al [29], Turkyilmazoglu [30], Shivakumara and Naveen Kumar [31], Srinivasacharya and Rao [32], Ramesh [33], Tripathi et al [34], Mahabaleshwar et al [35], Layek and Pati [36], Nandal and Mahajan [37], Reddy et al [38], Naveen Kumar et al [39]).…”

Section: Introductionmentioning

confidence: 99%

MHD instability of pressure-driven flow of a non-Newtonian fluid

et al. 2019

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The effect of a uniform vertical magnetic field on the stability of pressure-driven flow of an electrically conducting non-Newtonian fluid in an isothermal channel is numerically investigated using the Chebyshev collocation method. The non-Newtonian fluid is modeled by the couple stress fluid theory, which permits for polar effects and encountered regularly in liquids with very large molecules. It is established that Squire's theorem is valid and the modified Orr-Sommerfeld equation is derived by considering the fact that the magnetic Prandtl number P m , for recognized electrically conducting liquids is too small. The triplets (R c , α c , c c), where R c is the critical Reynolds number, α c is the critical wave number and c c is the critical wave speed, are obtained for different values of couple stress parameter Λ and the Hartman number M. It is found that increasing M has a stabilizing effect on the system while an increase in the couple stress parameter shows twofold deeds. Individual aspects of the kinetic energy spectrum are observed and presented for different parametric values to obtain comprehensive information at the critical state of fluid flow.

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Electro-osmotic flow of couple stress fluids in a micro-channel propagated by peristalsis

Abstract: Ti t l e El e c t r o-o s m o tic flow of c o u pl e s t r e s s flui d s in a m i c r o c h a n n el p r o p a g a t e d by p e ri s t al sis A u t h o r s Tri p a t hi, D, Yad av, A a n d Be g, OA

Cited by 76 publications

References 47 publications

Analytical Study of Electro-Osmosis Modulated Capillary Peristaltic Hemodynamics

Analytical Study of Electro-Osmosis Modulated Capillary Peristaltic Hemodynamics

Application of differential transform method to unsteady free convective heat transfer of a couple stress fluid over a stretching sheet

MHD instability of pressure-driven flow of a non-Newtonian fluid

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