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

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.

[1]  S Nadeem,et al.  Ciliary motion phenomenon of viscous nanofluid in a curved channel with wall properties , 2016 .

[2]  Ahmad Zeeshan,et al.  Hydromagnetic solid–liquid pulsatile flow through concentric cylinders in a porous medium , 2018, J. Vis..

[3]  S. Maiti,et al.  Rheological fluid motion in tube by metachronal waves of cilia , 2013, Applied Mathematics and Mechanics.

[4]  Dharmendra Tripathi,et al.  Peristaltic Pumping of Nanofluids through a Tapered Channel in a Porous Environment: Applications in Blood Flow , 2019, Symmetry.

[5]  Arshad Riaz,et al.  Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions , 2020, Symmetry.

[6]  Muhammad Mubashir Bhatti,et al.  Slip effects and endoscopy analysis on blood flow of particle-fluid suspension induced by peristaltic wave , 2016 .

[7]  Sohail Nadeem,et al.  Physiological flow of Carreau fluid due to ciliary motion , 2016 .

[8]  K. Vafai,et al.  A study of gravitational and magnetic effects on coupled stress bi-phase liquid suspended with crystal and Hafnium particles down in steep channel , 2019, Journal of Molecular Liquids.

[9]  L M Srivastava,et al.  Peristaltic transport of blood: Casson model--II. , 1984, Journal of biomechanics.

[10]  Rahmat Ellahi,et al.  Mathematical modeling of heat and mass transfer effects on MHD peristaltic propulsion of two-phase flow through a Darcy-Brinkman-Forchheimer porous medium , 2018 .

[11]  James J. Feng,et al.  Dynamic simulation of sedimentation of solid particles in an Oldroyd-B fluid , 1996 .

[12]  K. Mekheimer,et al.  Cilia walls influence on peristaltically induced motion of magneto-fluid through a porous medium at moderate Reynolds number: Numerical study , 2017 .

[13]  Rahmat Ellahi,et al.  Numerical study of heat transfer and Hall current impact on peristaltic propulsion of particle-fluid suspension with compliant wall properties , 2019 .

[14]  Yohsuke Imai,et al.  Radial dispersion of red blood cells in blood flowing through glass capillaries: the role of hematocrit and geometry. , 2008, Journal of biomechanics.

[15]  B. J. Gireesha,et al.  Non linear thermal radiation effect on Williamson fluid with particle-liquid suspension past a stretching surface , 2017 .

[16]  M. M. Bhatti,et al.  Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct , 2017 .

[17]  B. J. Gireesha,et al.  Thermal radiation and Hall effects on boundary layer flow past a non-isothermal stretching surface embedded in porous medium with non-uniform heat source/sink and fluid-particle suspension , 2016 .

[18]  Basavarajappa Mahanthesh,et al.  Scrutinization of thermal radiation, viscous dissipation and Joule heating effects on Marangoni convective two-phase flow of Casson fluid with fluid-particle suspension , 2018 .

[19]  O. Bég,et al.  Mathematical modelling of ciliary propulsion of an electrically-conducting Johnson-Segalman physiological fluid in a channel with slip , 2019, Computer methods in biomechanics and biomedical engineering.

[20]  Rahmat Ellahi,et al.  Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface , 2019, Symmetry.

[21]  H. Critchley,et al.  Mechanisms of disease: the endocrinology of ectopic pregnancy , 2012, Expert Reviews in Molecular Medicine.

[22]  F. E. Marble.  Dynamics of Dusty Gases , 1970 .

[23]  N. Akbar,et al.  Heat transfer analysis of Rabinowitsch fluid flow due to metachronal wave of cilia , 2015 .

[24]  Howard H. Hu,et al.  Direct simulation of fluid particle motions , 1992 .

[25]  A. Siddiqui,et al.  Fallopian tube assessment of the peristaltic-ciliary flow of a linearly viscous fluid in a finite narrow tube , 2018 .

[26]  M. M. Bhatti,et al.  Study of variable magnetic field and endoscope on peristaltic blood flow of particle-fluid suspension through an annulus , 2016 .

[27]  O. Bég,et al.  Cilia-assisted hydromagnetic pumping of biorheological couple stress fluids , 2019, Propulsion and Power Research.

[28]  Zheng‐Hong Luo,et al.  An enhanced correlation for gas-particle heat and mass transfer in packed and fluidized bed reactors , 2019, Chemical Engineering Journal.