Volume 7 | Number 1 | Year 2014 | Article Id. IJMTT-V7P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V7P501
Dr.Srinivas K, Dr.V.P. Rathod, "Pulsatile Flow of Blood with Volume Fraction of Micro-organisms in the Presence of Transverse Magnetic Field through Stenosed Tube," International Journal of Mathematics Trends and Technology (IJMTT), vol. 7, no. 1, pp. 1-11, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V7P501
[1] Bali, R. and Awasthi, U. Effect of magnetic field on the resistance to blood flow through stenotic artery. Applied Mathematics and Computation, Vol. 188, pp. 1635-1641,2007.
[2] Chakravarty, S. Effects of stenosis on the flow behaviour of blood in an artery.International Journal of Engineering Science, Vol. 25, No. 8, pp. 1003-1016,1987.
[3] Buchanan Jr., J. R., Kleinstreuer, C. and Corner J. K. Rheological effects on pulsatile hemodynamics in a stenosed tube. Computers & Fluids, Vol. 29, pp. 695-724, 2000.
[4] Deplano, V. and Siouffi, M. Experimental and Numerical study of pulsatile flowthrough a tapered artery with stenosis. Journal of Biomechanics, Vol. 32, pp. 1081-1090, 1999.
[5] Haldar, K. Effects of the shape of stenosis on the resistance to blood flow through an artery. Bulletin of Mathematical Biology, Vol. 47, No.4, pp. 545-550, 1985.
[6] Mandal, P. K. An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis. International Journal of Non-Linear Mechanics, Vol. 40, pp.151-164, 2005.
[7] Chakravarty, S. and Mandal, P. K. Mathematical modeling of blood flow through an overlapping arterial stenosis. Mathl. Comput. Modelling, Vol. 19, No. 1, pp. 59-70, 1994.
[8] Ismail, Z., Abdullah, I., Mustapha, N. and Amin, N. A power-law model of blood flow through a tapered overlapping stenosed artery.Applied Mathematics and Computation, Vol. 195, No. 2, pp. 669-680, 2007.
[9] Hernan, A. and Gonzalez, R. Numerical implementation of viscoelastic blood flow in a simplified arterial geometry. Medical Engineering and Physics, Vol. 29, pp. 491-496,2007.
[10] Katiyar, V. K. and Basavarajappa, K.S. Blood flow in the cardiovsular system in the presence of magnetic field. International Journal of Applied Science and Computations, Vol. 9, No. 3, pp. 118-127, 2002.
[11] Liepsch, D. An introduction to biofluid mechanics – basic models and applications. Journal of Biomechanics, Vol. 35, pp. 415-435, 2002.
[12] Liu, G. T., Wang, X. J., Ai, B. Q. and Liu, L. G. Numerical study of pulsatile flow through a tapered artery with stenosis. Chinese Journal of Physics, Vol. 42, No. 4-I, pp. 401-409, 2004.
[13] Prakash, J., Makinde, O. D. and Ogulu, A. Magnetic effect on oscillary blood flow in a constricted tube. Botswana Journal of Technology April , pp. 45-50,2004.
[14] Tashtoush, B. and Magableh, A. Magnetic field effect on heat transfer and fluid flow charecteristics of blood flow in multi-stenotic arteries.Heat and Mass Transfer, Vol. 44, No. 3, pp. 297-304, 2008.
[15] Tzirtzilakis, E. E. A mathematical model for blood flow in magnetic field.Physics of Fluids, Vol. 17:077103, pp. 1-15, 2005.
[16] Sud, V. K. and Sekhon, G. S. Blood flow through the human arterial system in the presence of a steady magnetic field. Phys. Med. Biol.Vol. 34, No. 7, pp. 795-805,1989.
[17] Chester, W. The effect of a magnetic field on Stokes flow in a conducting fluid. J. Fluid Mech,.Vol. 3, pp. 304-308, 1957.
[18] Jauchem, J.R. Exposure to extremely-low-frequency electromagnetic fields and radiofrequency radiation: cardiovascular effects in humans,Review Int Arch Occup Environ Health, Vol. 70, pp. 9-21.1997.
[19] Kolin.A, Electromagnetic flow meter: principle of method and its applications to blood flow measurement. Proc. Soc. Exptl. Biol. Med. 35, 53 (1936).
[20] Korchevskii E.M and Marochnik L.S., Magneto hydrodynamic version of movement of blood. Biofizica, 10(2), 371-373 (1965).
[21] Mathews, P., Fracture healing by pulsating electromagnetic fields- a study. M.S.Dessertation G.U.G. (Nov. 1988).
[22] Bathnagar and Rakesh, Non-Newtonian fluid flow between co-axial rotating disks: effects of an externally applied magnetic field. Mat-Apl Compt. 2, 171-191 (1983).
[23] Ramachandrarao and Deshikachar K.S., Physiological type flows in a circular pipe in the presence of a transverse magnetic field. Indian Insti. Sci., 68, 247-260, (july-Aug 1988).
[24] Shastri, D.V.S and Seetaramaswamy R, MHD dustry viscous flow through a circular pipe. Indian J. Pure Appl. Math, 13:7, 811-817 (July 1982).
[25] Debnath and Ghosh, On unsteady hydromagnetic flows of a dusty fluid between two oscillating plates. Appl. Sc., Res., 45(4), 353-365 (1988).
[26] Kaur and Sharma: Unsteady MHD flow of a dusty viscous fluid in an annulus bounded by two co-axial cylinders under the influence of exponential pressure gradient when the outer cylinder is moving with time dependent velocity. J. Maulana Azad College Tech, 18, 73-82,(1985).
[27] V. P.Rathod and Shakera Tanveer Pulsatile Flow of Couple Stress Fluid through a Porous medium with Periodic Body Acceleration and Magnetic Field. Bull. Malays. Math. Sci. Soc. (2) 3 2(2) 245- 259,(2009).
[28] Kinouchi, Y., Yamaguchi, H., and Tenforde, T.S. Theoretical analysis of magnetic field interactions with aortic blood flow. Bioelectromagnetics, Vol. 17, pp. 21-32, 1996.
[29] Womersely, J.R, Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known, J. Physiol., 127, 553-563.
[30] Chaturani P and Rathod V.P., A theoretical model for pulsatile blood flow with application to cerebrovascular diseases. Jour. Neurological research, 3, 289-303, (1981).
[31] V. P. Rathod and Gayatri, , Effect of magnetic field on two layer model of Pulsatile blood flow with micro-organisms, Bull. Pure Appl. Sci. Sect. E Math. Stat. 19 no. 1 1–13, (2000).
[32] Bugliarello, G. and Sevilla, J. “Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes”. Biorheology, 7, 85-107 (1970).
[33] Bugliarello, G. and Hayden, J.W. “High speed micro cinematographic studies of blood flow in vitro”. Science, 138, 981-983(1962).