Volume 13 | Number 1 | Year 2014 | Article Id. IJMTT-V13P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V13P508
A mathematical model for blood flow through an axially symmetric but radially non- symmetric stenosed artery has been considered. The effect of non-Newtonian nature of blood has been taken into account by modelling blood as a Bingham plastic fluid. Variation of flux, wall shear stress , resistance to flow with different stenosis height has been incorporated. The results are shown graphically and discussed.
[1] D. F. Young and F. Y.Tsai , Flow characteristics in modd of arterial stenosis-steady flow. Journal of Biomechanics.,vol. 6, pp. 395-410, 1973.
[2] O. Smedby ,”do plaques grow upstream or downstream?”Arteriosclerosis, Thrombosis and vascular Biology., vol.15, pp. 912-918, 1997.
[3] D. F.Young , Effects of a time-dependent stenosis on flow through a tube, J. Engg. Ind., Trans ASME., vol.90, pp.248-254, 1968 .
[4] J. S. Lee and Y. C. Fung, Flow in locally constricted tubes and low Reynolds number, J. Appl. Mech., Trans ASME., 37, 1970, 9-16.
[5] J. B. Shukla , R. S. Parihar and B. R. P. Rao , Effects of stenosis on non-Newtonian flow through an artery with mild stenosis, Bull. Math. Biol.,vol. 42, pp. 283-294, 1980.
[6] P. Chaturani and R. Ponnalagar Samy , Pulsatile flow of Casson’s fluid through stenosed arteries with applications to blood flow ,Biorheol.,vol. 23, pp. 491-511,1986.
[7] G. Radhakrishnamacharya and P. Srinivasan Rao, Flow of a magnetic fluid through a non-uniform wavy tube , Proc. Nat. Acad. Sci., India.,vol. 76(A), 2007.
[8] S. N. Majhi and V. R.Nair , Pulsatile flow of third grade fluids under body acceleration –modelling blood flow , Int. J. Engg. Sci.,vol. 32(5), pp. 839-846, 1996.
[9] K. Maruthiprasad and G. Radhakrishnamacharya, Flow of Herschel-Bulkley fluid through an inclined tube of non-uniform cross section with multiple stenosis. Arch. Mech.,Warszawa.,vol. 60(2), pp. 161-172, 2008.
[10] K.Maruthiprasad , B.Vijaya and C. Umadevi , A mathematical model of Herschel-Bulkley fluid through an over lapping stenosis, IOSR Journal of Mathematics., vol.10(2), Ver-II, pp. 41-46, 2014.
[11] S. U. Siddqui , N. K. Verma and R. S. Gupta, A mathematical model for pulsatile flow of Herschel-Bulkley fluid through stenosed arteries, Journal of Science and technology.,vol. 4(5), , pp.49-66, 2011.
[12] D.Biswas and R. B. Laskar, Steady flow of blood through a stenosedartery: A non-Newtonian fluid model, Assam University Journal of Sci. &tech., vol.7(11), pp.144-153, 2011.
[13] D. C. Sanyal and A. K. Maiti , Analysis of coefficient of viscosity for two-layered Herschel-Bulkley flow of blood through a narrow vessel, Journal of Mathematics., vol.II(1), pp.11-20, 2009.
[14] J. Aroesty and J. F. Gross , Pulsatile flow in small blood vessels.I. Casson theory, Biorheology., vol.9(1), pp.33-43, 1972.
[15] P. Chaturani and V. R. ponnalagarsamy , A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases, Biorheology.,vol. 22(6), pp.521-531, 1985.
[16] L. J. Dechant , A perturbation model for the oscillatory flow of a Bingham plastic in rigid and periodically displaced tubes, J. Biomech. Eng., vol.121(5), pp.502-504, 1999.
[17] D. Biswas and U. S Chakraborty., Two layered pulsatile blood flow in a stenosed artery with body acceleration and slip at wall, Applications and Applied Mathematics, An International Journal(AAM), vol.5(2), pp. 303-320, 2010.
[18] L. Parmar , S. B. Kulshreshtha and D. P. Sing , Effects of stenosis On Casson flow of blood through arteries, International Journal of Advanced Computer and Mathematical Sciences.,vol. 4(4), ,pp. 257-268, 2013
Dr. Arun KumarMaiti, "Effect of Stenosis on Bingham Plastic Flow of Blood through an Arterial Tube," International Journal of Mathematics Trends and Technology (IJMTT), vol. 13, no. 1, pp. 50-57, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V13P508