Article Information  
Prediction of Viscoelastic Behavior of Blood Flow in Plaque Deposited Capillaries

Keywords: Viscoelastic, Non-Newtonian, Atherosclerosis, Blood Flow, Capillaries.

Mehran University Research Journal of Engineering & Technology

Volume 31 ,  Issue 4

Muhammad  Anwar  Solangi , Baqer Shah   , Ahsanullah Baloch   ,

References
1. Fung, Y.C., “Biomechanics: Mechanical Properties of Living Tissues”, Springer Verlag, 1993.
2. Oldroyd, J.G., "On the Formulation of Rheological Equations of State", Procedings of Royal Society, Volume A200, pp. 523-541, 1950.
3. Petrie, C.J.S., "Elongational Flows: Aspects of the Behaviour of Model Elastic Viscous Fluids", Pitman, London, 1979.
4. Crochet, M.J., Davies, A.R., and Walters, K., "Numerical Simulation of Non-Newtonian Flow", Rheology Series, Volume 1, Elsevier Science Publication, Amsterdam, 1984.
5. Ikbal, Md. A., Chakravarty, S., and Mandal, P.K., "Unsteady Response of Non-Newtonian Blood Flow through a Stenosed Artery in Magnetic Field", Journal of Computational and Applied Mathematics, Volume 230, pp. 243-259, 2009.
6. Mandal, D.K., Manna, N.K., and Chakrabarti, S., "A Numerical Model Study of Steady Flow through Bell Shaped Stenosis with and Without Symmetry", International Journal of Experimental and Computational Biomechanics, Volume 1 , pp. 306-331, 2010.
7. Perera, G.M., and Walters, K., "Long Range Memory Effects in Flows Involving Abrupt Changes in Geometry: Part-2: The Expansion/Contraction/Expansion Problem", Journal of Non-Newtonian Fluid Mechanics, Volume 2, pp. 353-365, 1977.
8. Pak, B., Cho, Y.I., and Choi, S.U.S., "Separation and Reattachment of Non-Newtonian Fluid Flows in a Sudden Expansion Pipe", Journal of Non-Newtonian Fluid Mechanics, Volume 37, pp. 175-199, 1990.
9. Mekheimer, Kh.S., and Elkot, M.A., "The Micropolar Fluid Model for Blood Flow through a Stenotic Arteries", International Journal of Pure and Applied Mathematics, Volume 36, pp. 393-405, 2008.
10. Bird, R.B., Stewart, W.E., and Lightfoot, E.N., “Transport Phenomena”, 2nd Edition, John Wiley & Sons, 2002.
11. Van, K.J., "A Second Order Accurate Pressure Correction Scheme foe Viscous Incompressible Flow", SIAMJ. Science Statistics Company, Volume 7, pp. 870-891, 1986.
12. Townsend, P., and Webster, M.F., "An Algorithm for the Three Dimensional Transient Simulation of Non- Newtonian Fluid", Theory and Applications, Proceedings of Numeta Conference on Numerical Methematics Engineering, T12/1-11, Nijhoff, 1987.
13. Townsend, P., and Walters, K., "Expansion Flows of Non-Newtonian Liquids", Chemical Engineering Science, Pergamon, Elsevier, Volume 49, pp. 749-763, 1994.
14. Baloch, A., and Webster, M.F., "A Computer Simulation of Complex Flows of Fibre Suspensions", Computers Fluids, Volume 24, pp. 135-151, 1995.
15. Hawken, D.M., Tamaddon, Townsend, P., and Webster, M.F., "A Taylor-Galerkin Based Algorithm for Viscous Incompressible Flow", International Journal of Numerical Methematics Fluids, Volume 10, pp. 327-351, 1990.
16. Walters, N.D., and King, M.J., "Unsteady Flow of an Elastico-Viscous Liquid", Rheology Acta, Volume 9, pp. 345-355, 1970.