References
1. Dash, R., K. Mehta, and G. Jayaraman, Effect of yield stress on the flow of a Casson fluid in a homogeneous porous medium bounded by a circular tube. Applied scientific research, 1996. 57 (2): p. 133-149.
2. Sud, V. and G. Sekhon, Arterial flow under periodic body acceleration. Bulletin of Mathematical Biology, 1985. 47 (1): p. 35.
3. Al-Saad, M., et al., Application of Smooth Particle Hydrodynamics Method for Modelling Blood Flow with Thrombus Formation.CMES-Computer Modeling in Engineering & Sciences, 2020.122 (3): p. 831-862.
4. Wanti, G.S.Y.D.W., The physical characteristics of the porous media concerning flow in viscera [J]. Acta Mechanica Sinica, 1982.1 .
5. Song, F.-q., Y.-s. Xu, and H.-m. Li, Blood flow in capillaries by using porous media model. Journal of Central South University of Technology, 2007. 14 (1): p. 46-49.
6. Vyas, D.C.M., S. Kumar, and A. Srivastava, Porous media based bio-heat transfer analysis on counter-current artery vein tissue phantoms: Applications in photo thermal therapy. International Journal of Heat and Mass Transfer, 2016. 99 : p. 122-140.
7. Das, B. and R. Batra, Non-Newtonian flow of blood in an arteriosclerotic blood vessel with rigid permeable walls. Journal of theoretical biology, 1995. 175 (1): p. 1-11.
8. Khaled, A.-R. and K. Vafai, The role of porous media in modeling flow and heat transfer in biological tissues. International Journal of Heat and Mass Transfer, 2003. 46 (26): p. 4989-5003.
9. Prasad, B. and A. Kumar, Flow of a hydromagnetic fluid through porous media between permeable beds under exponentially decaying pressure gradient. Computational methods in science and technology, 2011. 17 (1-2): p. 63-74.
10. Eldesoky, I.M., Slip effects on the unsteady MHD Pulsatile blood flow through porous medium in an artery under the effect of body acceleration. International Journal of Mathematics and Mathematical Sciences, 2012. 2012 .
11. Misra, J., A. Sinha, and G. Shit, Mathematical modeling of blood flow in a porous vessel having double stenoses in the presence of an external magnetic field. International Journal of Biomathematics, 2011. 4 (02): p. 207-225.
12. Umeda, Y., et al., Computational fluid dynamics (CFD) using porous media modeling predicts recurrence after coiling of cerebral aneurysms. PloS one, 2017. 12 (12).
13. Usmani, A. and S. Patel, Hemodynamics of a Cerebral Aneurysm under Rest and Exercise Conditions. International Journal of Energy for a Clean Environment, 2018. 19 (1-2).
14. Finnigan, P., A. Hathaway, and W. Lorensen, Merging CAT and FEM. Mechanical Engineering, 1990. 112 (7): p. 32.
15. Taylor, C.A., T.J. Hughes, and C.K. Zarins, Finite element modeling of blood flow in arteries. Computer methods in applied mechanics and engineering, 1998. 158 (1-2): p. 155-196.
16. Bouillot, P., et al., Hemodynamic transition driven by stent porosity in sidewall aneurysms. Journal of biomechanics, 2015.48 (7): p. 1300-1309.
17. Karmonik, C., et al., Relationships and redundancies of selected hemodynamic and structural parameters for characterizing virtual treatment of cerebral aneurysms with flow diverter devices.Journal of biomechanics, 2016. 49 (11): p. 2112-2117.
18. Li, Y., et al., Numerical simulation of aneurysmal haemodynamics with calibrated porous-medium models of flow-diverting stents. Journal of biomechanics, 2018. 80 : p. 88-94.
19. Hamdan, M.O., et al., Using CFD Simulation and Porous Medium Analogy to Assess Cerebral Aneurysm Hemodynamics after Endovascular Embolization. Proceedings of the 4th World Congress on Momentum, Heat and Mass Transfer (MHMT’19), 2019: p. ENFHT 122
20. Fung, Y., Biomechanics: Motion, Flow, Stress, and Growth, Edwards Brothers. Inc., Ann Arbor, 1990.
21. Lyon, C.K., et al., Flow through collapsible tubes at high Reynolds numbers. Circulation research, 1981. 49 (4): p. 988-996.
22. Johnson, G., H. Borovetz, and J. Anderson, A model of pulsatile flow in a uniform deformable vessel. Journal of biomechanics, 1992. 25 (1): p. 91-100.
23. Mekheimer, K.S. and M. El Kot, Influence of magnetic field and Hall currents on blood flow through a stenotic artery. Applied Mathematics and Mechanics, 2008. 29 (8): p. 1093.
24. Taylor, D., Blood flow in arteries. By DA McDonald. Edward Arnold, London, 1974. Pp. xviii+ 496.£ 12. Quarterly Journal of Experimental Physiology and Cognate Medical Sciences: Translation and Integration, 1975. 60 (1): p. 65-65.
25. Liu, Q., D. Mirc, and B.M. Fu, Mechanical mechanisms of thrombosis in intact bent microvessels of rat mesentery. Journal of biomechanics, 2008. 41 (12): p. 2726-2734.
26. Abraham, J., E.M. Sparrow, and J. Tong, Breakdown of laminar pipe flow into transitional intermittency and subsequent attainment of fully developed intermittent or turbulent flow. Numerical Heat Transfer, Part B: Fundamentals, 2008. 54 (2): p. 103-115.
27. Kays, W. and M. Crawford, Convective Heat and Mass Transfer, McGraw-Hill, New York, 1980.
28. Wang, C., Viscous flow in a curved tube filled with a porous medium. Meccanica, 2013. 48 (1): p. 247-251.
29. Zeng, J., et al., Flow and bathymetry in sharp open‐channel bends: Experiments and predictions. Water resources research, 2008.44 (9).