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Computer modelling of electro-osmotically augmented three-layered microvascular peristaltic blood flow. Microvasc Res 2017; 114:65-83. [DOI: 10.1016/j.mvr.2017.06.004] [Citation(s) in RCA: 38] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2017] [Revised: 06/08/2017] [Accepted: 06/09/2017] [Indexed: 11/20/2022]
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Neeraja G, Dinesh P, Vidya K, Raju C. Peripheral layer viscosity on the stenotic blood vessels for Herschel-Bulkley fluid model. INFORMATICS IN MEDICINE UNLOCKED 2017. [DOI: 10.1016/j.imu.2017.08.004] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022] Open
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Non-uniform viscosity caused by red blood cell aggregation may affect NO concentration in the microvasculature. Biocybern Biomed Eng 2017. [DOI: 10.1016/j.bbe.2016.10.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Ponalagusamy R, Priyadharshini S. Numerical investigation on two-fluid model (micropolar-Newtonian) for pulsatile flow of blood in a tapered arterial stenosis with radially variable magnetic field and core fluid viscosity. ACTA ACUST UNITED AC 2016. [DOI: 10.1007/s40314-016-0367-z] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Sharma MK, Singh K, Bansal S. Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall. ACTA ACUST UNITED AC 2014. [DOI: 10.4236/jbise.2014.74023] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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BÉG OANWAR, RASHIDI MM, RAHIMZADEH N, BÉG TASVEERA, HUNG TINKAN. HOMOTOPY SIMULATION OF TWO-PHASE THERMO-HEMODYNAMIC FILTRATION IN A HIGH PERMEABILITY BLOOD PURIFICATION DEVICE. J MECH MED BIOL 2013. [DOI: 10.1142/s0219519413500668] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
A two-phase thermo-hydrodynamic model is presented for transport in the vertical chamber of a porous media blood filtration device. A non-Darcy drag force formulation was employed. The Marble–Drew fluid–particle suspension model was used to simulate the plasma phase and the suspension (erythrocyte) particle phase. The non-dimensional transport equations were solved using a semi-computational procedure known as the homotopy analysis method (HAM). With the judicious use of the auxiliary parameter ℏ, HAM affords a powerful mechanism to adjust and control the convergence region of solution series. This method provides an efficient approximate analytical solution with high accuracy, minimal calculation and avoidance of physically unrealistic assumptions. Detailed computations are presented for the effects of Grashof number (Gr), momentum inverse Stokes number (Skm), Darcy number (Da), Forchheimer number (Fs), particle loading parameter (PL), buoyancy parameter (B) and temperature inverse Stokes number (SkT) on the dimensionless fluid phase velocity (U), dimensionless particle phase velocity (Up), dimensionless fluid phase temperature (Φ) and the dimensionless temperature of particle phase (Φp). A Prandtl number of 25 was used to simulate blood at room temperature. Excellent correlation was obtained between the HAM and numerical shooting quadrature solutions. The results indicated that there is a strong decrease in fluid phase velocities with increasing Darcian (first order) drag and second-order Forchheimer drag, and a weaker reduction in particle phase velocity field. Applications of the study include porous media bio-filtration devices and dialysis simulations.
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Affiliation(s)
- O. ANWAR BÉG
- Biomechanics Research, Aerospace Engineering, Department of Engineering and Mathematics, Sheaf Building, Sheffield Hallam University, Sheffield, S1 1WB, UK
| | - M. M. RASHIDI
- Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran
| | - N. RAHIMZADEH
- Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran
| | - TASVEER A. BÉG
- Bio-Engineering Mechanics Research, Albert Road, Levenshulme, Manchester, M192AB, UK
| | - TIN-KAN HUNG
- Department of Bioengineering, Swanson School of Engineering, University of Pittsburgh, PA, USA
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Shaw S, Murthy P, Sibanda P. Magnetic drug targeting in a permeable microvessel. Microvasc Res 2013; 85:77-85. [DOI: 10.1016/j.mvr.2012.10.011] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/03/2012] [Revised: 10/10/2012] [Accepted: 10/26/2012] [Indexed: 10/27/2022]
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Shaw S, Murthy P. Magnetic targeting in the impermeable microvessel with two-phase fluid model—Non-Newtonian characteristics of blood. Microvasc Res 2010; 80:209-20. [DOI: 10.1016/j.mvr.2010.05.002] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2010] [Revised: 05/04/2010] [Accepted: 05/04/2010] [Indexed: 11/30/2022]
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