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Two Layered Mathematical Model for Blood Flow through Tapering Asymmetric Stenosed Artery with Velocity Slip at the Interface under the Effect of Transverse Magnetic Field

by G. C. Hazarika, Barnali Sharma
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 105 - Number 8
Year of Publication: 2014
Authors: G. C. Hazarika, Barnali Sharma
10.5120/18398-9659

G. C. Hazarika, Barnali Sharma . Two Layered Mathematical Model for Blood Flow through Tapering Asymmetric Stenosed Artery with Velocity Slip at the Interface under the Effect of Transverse Magnetic Field. International Journal of Computer Applications. 105, 8 ( November 2014), 27-33. DOI=10.5120/18398-9659

@article{ 10.5120/18398-9659,
author = { G. C. Hazarika, Barnali Sharma },
title = { Two Layered Mathematical Model for Blood Flow through Tapering Asymmetric Stenosed Artery with Velocity Slip at the Interface under the Effect of Transverse Magnetic Field },
journal = { International Journal of Computer Applications },
issue_date = { November 2014 },
volume = { 105 },
number = { 8 },
month = { November },
year = { 2014 },
issn = { 0975-8887 },
pages = { 27-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume105/number8/18398-9659/ },
doi = { 10.5120/18398-9659 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:37:11.148100+05:30
%A G. C. Hazarika
%A Barnali Sharma
%T Two Layered Mathematical Model for Blood Flow through Tapering Asymmetric Stenosed Artery with Velocity Slip at the Interface under the Effect of Transverse Magnetic Field
%J International Journal of Computer Applications
%@ 0975-8887
%V 105
%N 8
%P 27-33
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The paper considers a mathematical model for two-layered blood flow through a tapered artery with the growth of a asymmetric mild stenosis and velocity slip at the interface. The model consists of a core region of red blood cell suspension in the middle layer and the peripheral plasma layer (PPL) in the outer region. It is assumed that both the core and the peripheral plasma layer are represented by a Newtonian fluid with different viscosities. In this model, the flow is assumed to be steady, laminar and unidirectional and analytical expressions are obtained for axial velocity, flow rate and wall stresses. Their variations with different flow parameters are plotted graphically and the behaviour of these flow variables in this constricted region has been discussed. It is observed that fluid velocity, flow rate as well as wall shear stress decreases with the introduction of the magnetic field and when its intensity is increased. Also it is seen that fluid velocity, flow rate and shear stress increases with the increase of Reynolds number.

References
  1. Mukherjee, S. , Sharma, R. , Chandra, P. , Radhakrishnamacharya, G. , and Shukla, J. b. 1983. Effects of peripheral layer consistency on blood flow in arteries with non-uniform cross-section and multiple stenosis. Physiological Fluid Dynamics. Proceeding of the First International Conference on Physiological Fluid Mechanics. September 5-7, 57-61.
  2. Shukla, J. B. , Parihar R. S. and Rao, B. R. P. 1980. Effects of stenosis on non-Newtonianflow of the blood in an artery, Bulletin of Mathematical Biology, 42, 283-294.
  3. Shukla, J. B. , Parihar, R. S. and Gupta, S. P. 1980. Effects of Peripheral Layer Viscosity onBlood Flow through the Artery with Mild Stenosis, Bulletin of Mathematical Biology, 42 797-805.
  4. Young D. F. 1968. Effect of a Time- Dependent Stenosis on Flow through a Tube, Journalof Engineering and Industrial Transactions ASME, 90, 248-254.
  5. Kapur, J. N. (1985). Mathematical Models in Biology and Medicine, Affiliated East-WestPress, New Delhi.
  6. Misra, J. C. and Chakravarty, S. 1986. Flow in Arteries in the Presence of Stenosis, Journalof Biomechanics, 19, 907-918.
  7. Biswas, D. 2000. Blood Flow Models: A Comparative Study, Mittal Publications, New Delhi, India.
  8. Ponalagusamy, R. 2007. Blood Flow through an Artery with Mild Stenosis: A Two –Layered Model, Different Shapes of Stenoses and Slip Velocity at the Wall, Journal ofApplied Sciences, 7(7), 1071-1077.
  9. Sankar, D. S. and Lee,U. 2007. Two-phase non-linear model for the flow for Stenosed blood vessels, Journal Mechanical Science and Technology, 21, 678-689.
  10. Haldar, K. 1987. Oscillatory Flow of Blood in a Stenosed Artery, Bulletin of MathematicalBiology, 49, 279-287.
  11. Misra, J. C. and Chakravarty, S. 1986. Flow in Arteries in the Presence of Stenosis, Journalof Biomechanics, 19, 907-918.
  12. Biswas, D. and Barbhuiya, B. H. 2014. Two-layered Newtonian model for blood flow through tarering asymmetric stenosed artery with velocity slip at the interface. Journal of the Indian Academy of Mathematics. 36(1), 167-185.
  13. Bugliarello, G. and Sevilla, J. 1970. Velocity Distribution and other Characteristics ofSteady and Pulsatile Blood Flow in Fine Glass Tubes, Biorheology, 7, 85-107.
  14. Joshi, P. , Pathak, A. and Joshi, B. K. Two-Layered Model of Blood Flow through Composite Stenosed Artery. Application and Applied Mathematics, 4(8), 343-354.
  15. Srivastava, V. P. 2003. Flow of a Couple Stress Fluid Representing Blood through StenoticVessels with a Peripheral Layer, Indian Journal of Pure and Applied Mathematics, 34, 1727-1740.
  16. Halder, K. and Andersson, H. I. 1996. Two-layered model of blood flow through stenosed arteries. Acta Mechanics, 117, 221-228.
  17. Biswas, D. and Chakraborty. 2009. Steady flow of blood through a catheterized Tapered artery with stenosis, A Theoritical Model, Assam University Journal of Science and Technology, 4(2),7-16.
  18. Chaturani, P. and Ponalagusamy, R. 1986. Pulsatile flow of Casson's fluid through Stenosed arteries with applications to blood flow, Biorheology, 23, 449-511.
  19. Chaturani, P. and Ponalagusamy, R. 1982. Two layered model for blood flow through stenosed arteries, Proceeding of 11th National conference on fluid mechanics and fluid power, B. H. E. L. (R&D), Hydrabad, 16-22.
  20. Chaturani, P. and Biswas, D. 1983. Effects of slip in Flow through Stenosed tube, . Physiological Fluid Dynamics. Proceeding of the First International Conference on Physiological Fluid Mechanics. September 5-7, 75-80. IIT Madras.
  21. Verma, V. and Parihar, R. S. 2010. Mathematical Model of Blood Flow through a Tapered Artery with Mild Stenosis and Hematocrit, Journal of Modern Mathematics and Statistics, 38-43.
  22. . Bhuyan,B. C. and Hazarika, G. C. 2001 Blood Flow with Effects of slip in Arterial Stenosis due to presence of Transverse Magnetic Field. Proceeding of the National Conference on Applicable mathematics. March, 17-19,212-217.
  23. Hazarika, G. C. and Sharma, B. 2014. Blood Flow with Effects of Slip in Arterial Stenosis due to presence of Applied Magnetic Field. International Journal of Modern Sciences and Engineering Technology. 1(4), 45-54.
  24. Verma, V. and Parihar, R. S. 2009. Mathematical Model of Blood flow through a Tapered Artery with Multiple Mild Stenosis, International Journal of Applied Mathematics and Computation, 30-46.
  25. Bloch, E. H. 1962. A quantitative study of the hemodynamics in the living micro-vascular system, Amer. J . Anat. , 110,125-153.
  26. Number, Y. 1967. Effects of slip on the rheology of a composite fluid: Application to blood flow, Rheology, 4, 133-150.
  27. Bugliarello, G. and Hayden, J. W. , 1963. Detailed characteristics of the flow of blood in Vitro. Trans. Soc. Rheology, 7,209-230.
  28. Bennett, L. 1967. Red cell slip at wall in vitro. Science,15, 1554.
  29. Mekheimer, Kh. S. and Kothari, M. A. 2008. The micro polar fluid model for blood flow through a tapered artery with a stenosis, Acta Mech. Sin. , 24, 637-644.
  30. Schlichting, H. 1968. Boundary Layer Theory, McGraw-Hill Book Company; New York.
  31. Sankar, R. A. , Gunakala, R. S. and Comissiong, G. A. 2013. Two-layered blood flow through a composite stenosis in the presence of a magnetic field. International Journal of Application or Innovation in Engineering and Management. 2(12). 30-41.
Index Terms

Computer Science
Information Sciences

Keywords

Tapered artery Two layered model Blood Flow Newtonian fluid Asymmetric Mild Stenosis Slip velocity. Magnetic Field.

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