Heat transfer analysis of Rabinowitsch fluid flow due to metachronal wave of cilia

Akbar, Noreen Sher; Butt, Adil Wahid

doi:10.1016/j.rinp.2015.03.005

Cited by 30 publications

(23 citation statements)

References 24 publications

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“…whereμ B the plastic viscosity, Υ the volume fraction density, ξ ij the deformation rate of component, and y s the yield stress, π denotes the second invariant tensor of ξ ij , π Υ represents the critical value comprises on the non-Newtonian fluid model. The Mathematical expression for the envelope of the cilia tips reads as [31,32]:…”

Section: Problem Formulationmentioning

confidence: 99%

“…where k = 2π/λ, z 0 describes the reference location of the cilia, the non-dimensional parameter φ, which combines with b 0 (mean radius of the outer tube) in the form of b 0 φ and represents the amplitude of metachronal wave, λ is the metachronal wavelength, c the velocity, and α describes the measure of the eccentricity of the elliptical motion. The vertical and axial velocities are evaluated as [31,32]:…”

Section: Problem Formulationmentioning

confidence: 99%

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Hydrodynamics Interactions of Metachronal Waves on Particulate-Liquid Motion through a Ciliated Annulus: Application of Bio-Engineering in Blood Clotting and Endoscopy

et al. 2020

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This study deals with the mass transport phenomena on the particle-fluid motion through an annulus. The non-Newtonian fluid propagates through a ciliated annulus in the presence of two phenomenon, namely (i) endoscopy, and (ii) blood clot. The outer tube is ciliated. To examine the flow behavior we consider the bi-viscosity fluid model. The mathematical modeling has been formulated for small Reynolds number to examine the inertia free flow. The purpose of this assumption is that wavelength-to-diameter is maximal, and the pressure could be considerably uniform throughout the entire cross-section. The resulting equations are analytically solved, and exact solutions are given for particle- and fluid-phase profiles. Computational software Mathematica has been used to evaluate both the closed-form and numerical results. The graphical behavior across each parameter has been discussed in detail and presented with graphs. The trapping mechanism is also shown across each parameter. It is noticed clearly that particle volume fraction and the blood clot reveal converse behavior on fluid velocity; however, the velocity of the fluid reduced significantly when the fluid behaves as a Newtonian fluid. Schmidt and Soret numbers enhance the concentration mechanism. Furthermore, more pressure is required to pass the fluid when the blood clot appears.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Hydrodynamics Interactions of Metachronal Waves on Particulate-Liquid Motion through a Ciliated Annulus: Application of Bio-Engineering in Blood Clotting and Endoscopy

et al. 2020

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“…Pumping of blood in heart/lung machines is regarded as an application of this model in the peristaltic flow which is very beneficial in biomedicine and physiology. Akbar [4] presented studies in the Rabinowitsch fluid under the effect heat transfer in a circular tube. Singh [5] analyzed the application of Rabinowitsch fluid model in peristaltic flow through a uniform tube.…”

Section: Hasen and Abdulhadimentioning

confidence: 99%

“…The Mathematical expression for The envelops of the cilia tips is: 7) where refers to the radius of the channel, denotes non-dimensional measure according to the cilia length, λ is the wavelength, ̅ is the particle position, is wave velocity, and is the measure of the eccentricity of the elliptical motion. With no-slip condition applied, the cilia tips are the responsible of causing the velocities of the transporting fluid, which can be given as [4]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

MHD Effect on Peristaltic Transport for Rabinowitsch Fluid through A Porous Medium in Cilia Channel

Hasen

Abdulhadi

2020

eijs

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This paper is employed to discuss the effects of the magnetic field and heat transfer on the peristaltic flow of Rabinowitsch fluid through a porous medium in the cilia channel. The governing equations (mass, motion, and energy) are formulated and then the assumptions of long wavelength and low Reynold number are used for simplification. The velocity field, pressure gradient, temperature, and streamlines are obtained when the perturbation technique is applied to solve the nonlinear partial differential equations. The study shows that the velocity is decreased with increasing Hartmann number while it is decreased with increasing the porosity.

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“…The Rabinowitsch model has been confirmed by the investigational results that are obtained by Wada et al 35 Singh et al [36][37][38] investigated the non-Newtonian Rabinowitsch fluid model for velocity and pressure gradient relation. Akbar et al 39 discussed the mechanical properties and thermal conductivity effect for the Rabinowitsch fluid model. Maraj et al 40 obtained the analytical results of the nonlinear dimensionless differential expression of peristaltic transport of the Rabinowitsch fluid.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer analysis for particle–fluid suspension thermomagnetohydrodynamic peristaltic flow with Darcy–Forchheimer medium

et al. 2020

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This theoretical analysis explores the effect of heat and mass transfer on particle–fluid suspension for the Rabinowitsch fluid model with the stiffness and dynamic damping effects through Darcy–Brinkman–Forchheimer porous medium. In this study, we also incorporate slip and transverse magnetic field effects. Using low Reynolds number, to neglect inertial forces and to keep the pressure constant during the flow, channel height is used largely as compared with the ratio of length of the wave. A numerical technique is used to solve flow governing system of differential equations. Particular attention is paid to viscous damping force parameter, stiffness parameter, and rigidity parameter; also, the numerical data for thermal profile, momentum, and concentration distribution are presented graphically. Outcomes are deliberated in detail for different fluid models (thinning, thickening, and viscous models). It is found that velocity profile increases for greater values of viscous damping effect and stiffness and rigidity parameter for shear thinning, but conflicting comportment is showed for thickening nature model. Viscous dissipation effects increases the thermal profile for all cases of fluid models. The scope of the present article is valuable in explaining the blood transport dynamics in small vessels while considering the important wall features with chemical reaction characteristics. The current analysis has extensive applications in biomedical engineering field, that is, peristaltic pumps.

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Heat transfer analysis of Rabinowitsch fluid flow due to metachronal wave of cilia

Cited by 30 publications

References 24 publications

Hydrodynamics Interactions of Metachronal Waves on Particulate-Liquid Motion through a Ciliated Annulus: Application of Bio-Engineering in Blood Clotting and Endoscopy

Hydrodynamics Interactions of Metachronal Waves on Particulate-Liquid Motion through a Ciliated Annulus: Application of Bio-Engineering in Blood Clotting and Endoscopy

MHD Effect on Peristaltic Transport for Rabinowitsch Fluid through A Porous Medium in Cilia Channel

Heat transfer analysis for particle–fluid suspension thermomagnetohydrodynamic peristaltic flow with Darcy–Forchheimer medium

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