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International Journal of Computer Mathematics Volume 84, 2007 - Issue 7
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Original Articles

Numerical study of the unsteady flow of non-Newtonian fluid through differently shaped arterial stenoses

P. Kumar Mandal Department of Mathematics, Visva-Bhararti, P.O.-Santiniketan, PIN-731235, W.B, INDIACorrespondence[email protected]
,
S. Chakravarty Department of Mathematics, Visva-Bhararti, P.O.-Santiniketan, PIN-731235, W.B, INDIA
&
A. Mandal Department of Mathematics, Visva-Bhararti, P.O.-Santiniketan, PIN-731235, W.B, INDIA
Pages 1059-1077 | Received 28 Dec 2005, Accepted 26 Jan 2007, Published online: 01 Aug 2007

Citations (31)

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Muhammad Shahzad Shabbir, Nasir Ali & Zaheer Abbas. (2023) Impact of unsteadiness on the non-Newtonian flow of blood in a vascular tube with stenosis and aneurysm: analytical solution. Waves in Random and Complex Media 0:0, pages 1-15.
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Md. A. Ikbal, S. Chakravarty, Sarifuddin & P. K. Mandal. (2012) UNSTEADY ANALYSIS OF VISCOELASTIC BLOOD FLOW THROUGH ARTERIAL STENOSIS. Chemical Engineering Communications 199:1, pages 40-62.
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Articles from other publishers (29)

Pooja Maurya, Virendra Upadhyay, Surya Kant Chaturvedi & Dinesh Kumar. (2023) Mathematical study and simulation on stenosed carotid arteries with the help of a two‐phase blood flow model. The Canadian Journal of Chemical Engineering 101:10, pages 5468-5481.
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Sarifuddin. (2020) CFD Modelling of Casson Fluid Flow and Mass Transport Through Atherosclerotic Vessels. Differential Equations and Dynamical Systems 30:2, pages 253-269.
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RamReddy Chetteti & Abhinava Srivastav. (2021) The second law analysis in free convective flow of pseudoplastic and dilatant fluids over a truncated cone with viscous dissipation: Forchheimer model. Journal of Thermal Analysis and Calorimetry 147:8, pages 5211-5224.
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M. Sakthivel & Kameswararao Anupindi. (2022) A three-dimensional off-lattice Boltzmann method for the simulation of blood flow through a model irregular stenosis. Physics of Fluids 34:3.
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A. Chauhan & C. Sasmal. (2021) Effect of real and whole blood rheology on flow through an axisymmetric stenosed artery. International Journal of Engineering Science 169, pages 103565.
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Prachi D. Dwidmuthe, Gaurav G. Dastane, Channamallikarjun S. Mathpati & Jyeshtharaj B. Joshi. (2021) Study of blood flow in stenosed artery model using computational fluid dynamics and response surface methodology. The Canadian Journal of Chemical Engineering 99:S1.
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Ch. RamReddy & Abhinava Srivastav. (2021) Efficient Spectral Method for Stable Stratified Power-Law Fluid Flows with Dispersion Over Convectively Heated Truncated Cone in a Non-Darcy Porous Medium. International Journal of Applied and Computational Mathematics 7:3.
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M. Sakthivel & Kameswararao Anupindi. (2021) An off-lattice Boltzmann method for blood flow simulation through a model irregular arterial stenosis: The effects of amplitude and frequency of the irregularity. Physics of Fluids 33:3.
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Kamil Ozden, Cuneyt Sert & Yigit Yazicioglu. (2020) Effect of stenosis shape on the sound emitted from a constricted blood vessel. Medical & Biological Engineering & Computing 58:3, pages 643-658.
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F. Berntsson, A. Ghosh, V.A. Kozlov & S.A. Nazarov. (2018) A one dimensional model of blood flow through a curvilinear artery. Applied Mathematical Modelling 63, pages 633-643.
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Mohammad Yaghoub Abdollahzadeh Jamalabadi, Mohammadreza Daqiqshirazi, Hossein Nasiri, Mohammad Reza Safaei & Truong Khang Nguyen. (2018) Modeling and analysis of biomagnetic blood Carreau fluid flow through a stenosis artery with magnetic heat transfer: A transient study. PLOS ONE 13:2, pages e0192138.
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J. V. Ramana Reddy, D. Srikanth & Samir K. Das. (2017) Modelling and simulation of temperature and concentration dispersion in a couple stress nanofluid flow through stenotic tapered arteries. The European Physical Journal Plus 132:8.
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M. Y. Abdollahzadeh Jamalabadi, Amin Ali Akbari Bidokhti, Hamid Khak Rah, Siavash Vaezi & Payam Hooshmand. (2016) Numerical Investigation of Oxygenated and Deoxygenated Blood Flow through a Tapered Stenosed Arteries in Magnetic Field. PLOS ONE 11:12, pages e0167393.
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N. Nandakumar & M. Anand. (2016) Pulsatile flow of blood through a 2D double-stenosed channel: effect of stenosis and pulsatility on wall shear stress. International Journal of Advances in Engineering Sciences and Applied Mathematics 8:1, pages 61-69.
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Mukesh Kumar Sharma, P. R. Sharma & Vinay Nasha. (2015) Pulsatile blood flow through stenosed artery with axial translation. International Journal of Biomathematics 08:03, pages 1550028.
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Om Prakash, O. D. Makinde, S. P. Singh, Nidhi Jain & Devendra Kumar. (2015) Effects of stenoses on non-Newtonian flow of blood in blood vessels. International Journal of Biomathematics 08:01, pages 1550010.
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N. Nandakumar, Kirti Chandra Sahu & M. Anand. (2015) Pulsatile flow of a shear-thinning model for blood through a two-dimensional stenosed channel. European Journal of Mechanics - B/Fluids 49, pages 29-35.
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GH. R. Kefayati. (2014) Simulation of magnetic field effect on non-Newtonian blood flow between two-square concentric duct annuli using FDLBM. Journal of the Taiwan Institute of Chemical Engineers 45:4, pages 1184-1196.
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SARIFUDDIN. (2014) SIMULATION OF CASSON FLUID FLOW AND HEAT TRANSPORT IN DIFFERENTLY SHAPED STENOSES. Journal of Mechanics in Medicine and Biology 14:02, pages 1450024.
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GH.R. Kefayati. (2014) FDLBM simulation of magnetic field effect on non-Newtonian blood flow in a cavity driven by the motion of two facing lids. Powder Technology 253, pages 325-337.
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Sarifuddin, Santabrata Chakravarty & Prashanta Kumar Mandal. (2013) Physiological flow of shear-thinning viscoelastic fluid past an irregular arterial constriction. Korea-Australia Rheology Journal 25:3, pages 163-174.
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Soumyabrata Maiti, Kaustav Chaudhury, Debabrata DasGupta & Suman Chakraborty. (2013) Alteration of chaotic advection in blood flow around partial blockage zone: Role of hematocrit concentration. Journal of Applied Physics 113:3.
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Sarifuddin, Santabrata Chakravarty & Prashanta Kumar Mandal. (2013) Heat transfer to micropolar fluid flowing through an irregular arterial constriction. International Journal of Heat and Mass Transfer 56:1-2, pages 538-551.
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Md. Asif Ikbal. (2012) Viscoelastic blood flow through arterial stenosis—Effect of variable viscosity. International Journal of Non-Linear Mechanics 47:8, pages 888-894.
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D. S. Sankar, K. Hemalatha & Atulya K. Nagar. (2011) Two-fluid model for blood flow in stenosed arteries under periodic body acceleration: a mathematical model. International Journal of Advances in Engineering Sciences and Applied Mathematics 3:1-4, pages 84-92.
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D.S. Sankar & Usik Lee. (2011) Nonlinear mathematical analysis for blood flow in a constricted artery under periodic body acceleration. Communications in Nonlinear Science and Numerical Simulation 16:11, pages 4390-4402.
Crossref
Norzieha Mustapha, Prashanta K. Mandal, Peter R. Johnston & Norsarahaida Amin. (2010) A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses. Applied Mathematical Modelling 34:6, pages 1559-1573.
Crossref
SARIFUDDIN, SANTABRATA CHAKRAVARTY & PRASHANTA KUMAR MANDAL. (2011) EFFECT OF ASYMMETRY AND ROUGHNESS OF STENOSIS ON NON-NEWTONIAN FLOW PAST AN ARTERIAL SEGMENT. International Journal of Computational Methods 06:03, pages 361-388.
Crossref
Md.A. Ikbal, S. Chakravarty, Kelvin K.L. Wong, J. Mazumdar & P.K. Mandal. (2009) Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field. Journal of Computational and Applied Mathematics 230:1, pages 243-259.
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