Pumping flow model for couple stress fluids with a propagative membrane contraction

Bhandari, D. S.; Tripathi, Dharmendra; Narla, V. K.

doi:10.1016/j.ijmecsci.2020.105949

Cited by 30 publications

(7 citation statements)

References 48 publications

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“…There is not a single model which can describe the rheological characteristics of all the non-Newtonian fluids. Therefore, many models of non-Newtonian fluids are proposed [3][4][5][6][7][8][9][10][11]. The Carreau fluid model (or modified power-law model) specifies rheological behavior of fluid and is thus characterized as non-Newtonian fluid.…”

Section: Introductionmentioning

confidence: 99%

Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions

2020

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This article addresses the peristaltic flow in a compliant wall channel. Analysis has been carried out in the presence of a Hall current and chemical reaction. Convective conditions in terms of both heat and mass transfer are employed. Mathematical modeling is developed for an incompressible Carreau fluid. Thermal deposition effect and convection at the channel walls are considered. Series solutions are obtained for small Weissenberg number We. Solution expressions of velocity, temperature, concentration and stream function are obtained. These physical quantities are displayed and analyzed. Heat transfer coefficient and trapping are explored in detail.

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Section: Introductionmentioning

confidence: 99%

Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions

2020

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“…3a. The flow field of the velocity vector is stagnated at the centre which bifurcates the fluid in both directions [34]. In addition to the magnetic force, there is an opposing volumetric force of magnitude 𝜎𝐵 0 2 𝒖 * which acts to retard axial pressure gradient.…”

Section: Fluid Pressure and Velocitymentioning

confidence: 99%

“…In another membrane model, Yasser [33] proposed a single membrane contraction that operates in a "propagative" mode. Furthermore, Bhandari et al [34] extended the Yasser's [33] model to consider couple stress fluids flow under active membrane propulsion. When working fluids are electro-conductive, the characteristics of membrane pumping may further be enhanced via external electric.…”

Section: Introductionmentioning

confidence: 99%

Electro-osmosis modulated periodic membrane pumping flow and particle motion with magnetic field effects

2022

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Theoretical studies of micro-electro-mechanical systems provide important insight into the mechanisms and optimization of such devices for a range of applications, including biomedical and chemical engineering. Inspired by emerging applications of microfluidics, unsteady viscous flow in a microchannel with periodic membrane pumping modulated by electro-magnetohydrodynamics is analyzed in a mathematical framework. The membrane kinematics induces the pressure inside the microchannel, where an electric field enhances the capability of the pumping flow rate. This model is formulated based on the Navier–Stokes equations, the Poisson equation, and the Maxwell electromagnetic equations and is further simplified using the lubrication approximations and Debye–Hückel linearization. The transformed dimensionless conservation equations under appropriate boundary conditions are analytically solved and the graphical results are illustrated through MATLAB (2019b) software. From the computational results, it is found that the Hartmann number enhances the fluid pressure uniformly throughout the microchannel, while the electric field parameter enforces the direction of the pressure-driven flow. The time-averaged flow rate exhibits a linear decay with axial pressure gradient, and it is strongly elevated with electric field parameter whereas it is weakly increased with electric double layer thickness parameter. It is further observed that the fluid is driven unidirectionally by the membrane contractions via a particle tracking simulation method. This study is relevant to provide the parametric estimation in designing the magnetic field-based microfluidics devices for microlevel transport phenomena.

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“…Pioneering researches on the topic are presented by Latham [1], Shapiro et al [2], and Yin and Fung [3]. Currently, abundant literature exists on peristaltic flows of viscous and non-Newtonian fluids under different aspects (see [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and several studies there in). Amongst the several models of non-Newtonian material there is one fluid model that can describe the "spurt" phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Convective Heat/Mass Transfer Analysis on Johnson-Segalman Fluid in a Symmetric Curved Channel with Peristalsis: Engineering Applications

2020

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The peristaltic flow of Johnson–Segalman fluid in a symmetric curved channel with convective conditions and flexible walls is addressed in this article. The channel walls are considered to be compliant. The main objective of this article is to discuss the effects of curvilinear of the channel and heat/mass convection through boundary conditions. The constitutive equations for Johnson–Segalman fluid are modeled and analyzed under lubrication approach. The stream function, temperature, and concentration profiles are derived. The analytical solutions are obtained by using regular perturbation method for significant number, named as Weissenberg number. The influence of the parameter values on the physical level of interest is outlined and discussed. Comparison is made between Jhonson-Segalman and Newtonian fluid. It is concluded that the axial velocity of Jhonson-Segalman fluid is substantially higher than that of Newtonian fluid.

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Pumping flow model for couple stress fluids with a propagative membrane contraction

Cited by 30 publications

References 48 publications

Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions

Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions

Electro-osmosis modulated periodic membrane pumping flow and particle motion with magnetic field effects

Convective Heat/Mass Transfer Analysis on Johnson-Segalman Fluid in a Symmetric Curved Channel with Peristalsis: Engineering Applications

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