Publication de 12 numéros par an
ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508
Indexed in
PULSATILE FLOW IN A CYLINDRICAL TUBE WITH POROUS WALLS: APPLICATIONS TO BLOOD FLOW
RÉSUMÉ
The present paper concerns the analytical study of pulsatile flow of Newtonian fluid in a cylindrical tube with a rigid permeable wall. The Brinkman equation is used to formulate flow through the porous region and the Navier-Stokes equation is used for flow of clear fluid. The effect of permeability on wall shear stress and vascular impedance is analyzed. For limiting cases our results agree with that of Womersley.
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Kumar Anil, Agrawal S. P., Computational Study of Blood Flow Through Elastic Arteries with Porous Effects, in Proceedings of the Third International Conference on Soft Computing for Problem Solving, 258, 2014. Crossref
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Tiwari Ashish, Chauhan Satyendra Singh, Effect of varying viscosity on two-fluid model of pulsatile blood flow through porous blood vessels: A comparative study, Microvascular Research, 123, 2019. Crossref
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Tiwari Ashish, Chauhan Satyendra Singh, Effect of varying viscosity on a two-layer model of the blood flow through porous blood vessels, The European Physical Journal Plus, 134, 1, 2019. Crossref
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Tiwari Ashish, Chauhan Satyendra Singh, Effect of Varying Viscosity on Two-Layer Model of Pulsatile Flow through Blood Vessels with Porous Region near Walls, Transport in Porous Media, 129, 3, 2019. Crossref
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Tiwari Ashish, Shah Pallav Dhanendrakumar, Chauhan Satyendra Singh, Solute dispersion in two-fluid flowing through tubes with a porous layer near the absorbing wall: Model for dispersion phenomenon in microvessels, International Journal of Multiphase Flow, 131, 2020. Crossref
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Shaw Sachin, Effective shear augmented dispersion of solutes during nanoparticle assisted drug delivery in a microvessel, Fluid Dynamics Research, 52, 1, 2020. Crossref
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Tiwari Ashish, Shah Pallav Dhanendrakumar, Chauhan Satyendra Singh, Analytical study of micropolar fluid flow through porous layered microvessels with heat transfer approach, The European Physical Journal Plus, 135, 2, 2020. Crossref
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Shah Pallav Dhanendrakumar, Tiwari Ashish, Chauhan Satyendra Singh, Solute dispersion in micropolar-Newtonian fluid flowing through porous layered tubes with absorbing walls, International Communications in Heat and Mass Transfer, 119, 2020. Crossref
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Saini Amit Kumar, Chauhan Satyendra Singh, Tiwari Ashish, Creeping flow of Jeffrey fluid through a swarm of porous cylindrical particles: Brinkman–Forchheimer model, International Journal of Multiphase Flow, 145, 2021. Crossref
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Shaw Sachin, Effect of electric-double layer on the blood flow in glycocalyx layered tubes: applications to drug delivery in microvessels, Fluid Dynamics Research, 53, 1, 2021. Crossref
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Chauhan Satyendra Singh, Shah Pallav Dhanendrakumar, Tiwari Ashish, Analytical Study of the Effect of Variable Viscosity and Heat Transfer on Two-Fluid Flowing through Porous Layered Tubes, Transport in Porous Media, 142, 3, 2022. Crossref
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Nazarenko N. N., Knyazeva A. G., Mathematical Modeling of Biological Fluid Flow Through a Cylindrical Layer with Due Account for Barodiffusion, Communications on Applied Mathematics and Computation, 2022. Crossref