Pulsatile magneto-biofluid flow and mass transfer in a non-Darcian porous medium channel

Meccanica

Volumn 42, Issue 3, 2006, Pages 247-262

  Bhargava, R ^a   Rawat, S ^a   Takhar, H S ^b   Bég, O Anwar ^c  

^a INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^b MANCHESTER METROPOLITAN UNIVERSITY   (United Kingdom)

^c LEEDS METROPOLITAN UNIVERSITY   (United Kingdom)

Author keywords

Fluid mechanics; Hydromagnetic; Porous; Pulsatile

Indexed keywords

BOUNDARY CONDITIONS; CHANNEL FLOW; DRUG PRODUCTS; FINITE ELEMENT METHOD; MASS TRANSFER; REYNOLDS NUMBER;

BIOFLUIDS; CONSERVATION EQUATIONS; HYDROMAGNETIC NUMBER; MAGNETO-BIOFLUID FLOW; PULSATILE;

POROUS MATERIALS;

EID: 34250213839     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-007-9052-z     Document Type: Article

References (37)

1. Uchida S (1956) The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe. J Appl Math Phys (ZAMP) 7:403-422
2. Wornersley JR (1958) Oscillatory flow in arteries II: the reflection of the pulse wave at junctions and rigid inserts in the arterial system. Phys Med Biol 2:313-323
3. Womersley JR (1958) Oscillatory flow in arteries III: flow and pulse-velocity formulae for a liquid whose viscosity varies with frequency. Phys Med Biol 2: 374-382
4. Skalak R (1966) Wave propagation in blood flow. In: Biomechanics symposium ASME, New York, pp 20-46
5. Hung TK, Tsai MC (1997) Kinematic and dynamic characteristics of pulsatile flows in stenotic vessels. ASCE J Eng Mech 123(3):247-259
6. Hung TK, Cheng WS, Li DF (1986) Pulsatory entry flow in a curved tube. In: Arndt REA, Stefan HG, Fareil C, Peterson SM (eds) Advances in aerodynamics, fluid mechanics and hydraulics ASCE, USA pp 669-676
7. Hung TK, Tsai MC (1997) Kinematic and dynamic characteristics of pulsatile flows in stenotic vessels. ASCE J Eng Mech 123(3):247-259
8. Hung TK (2004) Private Communication to O. A. Beg on computational pulsatile flow simulation
9. Berger S (1996) Calculation of the magnetization distribution for fluid flow in curved vessels. Magn Reson Med 35:577-584
10. Berger S (1998) Numerical simulation of the flow in the carotid bifurcation. Theor Comput Fluid Dyn 10: 239-248
11. Berger S (2000) Influence of stenosis morphology on flow through severely stenotic vessels: implications for plaque rupture. J Biomech 33:443-455
12. Berger S (2002) Numerical analysis of flow through a severely stenotic carotid artery bifurcation. ASME J Biomech Eng 124:9-20
13. Berger S, JOU L-D (1997) Pulsatile flow through the carotid bifurcation, 15th Int. conf. numerical methods in fluid dynamics. Springer-Verlag, pp. 286-291
14. Zamir M (1998) Mechanics of blood supply to the heart: wave reflection effects in a right coronary artery. Proc R Soc Lond B 265:439-444
15. Zamir M (2000) The physics of pulsatile flow. Springer Berlin Heidelberg New York
16. Haslam M, Zamir M (1998) Pulsatile flows in tubes of elliptic cross-sections. Ann Biomed Eng 26(5): 780-787
17. Majdalani J, Roh TS (2000) The oscillatory channel flow with large wall injection. Proc R Soc A 456:1625-1657
18. Majdalani J (2001) The oscillatory channel flow with arbitrary wall injection. J Appl Math Phys (ZAMP) 52(1):33-61
19. Majdalani J, Flandro GA (2002) The oscillatory pipe flow with arbitrary wall injection. Proc R Soc A 458:1621-1651
20. Muntges DE, Majdalani J (2000) Pulsatory channel flow for an arbitrary volumetric flow rate. AIAA Pap 2002-2856
21. Keltner JR, Roos MS, Brakeman PR, Budinger TF (1990) Magnetohydrodynamics of blood flow. Mag Reson Med J 16(1):139-149
22. Sud VK, Sekhon GS (2003) Blood flow through the human arterial system in the presence of a steady magnetic field. Biophys J 84:2638-2645
23. Rao AR, Desikachar KS (1987) Diffusion in hydromagnetic oscillatory flow through a porous channel. ASME J Appl Mech 54:742
24. Beg OA, Takhar HS, Bhargava R, Rawat S, Beg TA (2006a) Biomagnetic Newtonian flow in a two-dimensional porous medium, submitted
25. Bég OA, Takhar HS, Bhargava R, Rawat S, Bég TA (2006b) Pulsatile MHD flow and mass transnfer in a non-Darcian channel using the biviscosity nonNewtonian model: finite element solutions, submitted
26. Bég OA, Takhar HS, Bég TA, Chamkha AJ, Nath G, Majeed R (2005) Modeling convection heat transfer in a rotating fluid in a thermally-stratified high-porosity medium: Numerical finite difference solutions. Int J Fluid Mech Res 32(4):383-401
27. Kukura J et al (2002) Understanding pharmaceutical flows. Pharm Technol 48-72
28. Madjalani J, Chibli HA (2002) Pulsatory channel flows with arbitrary pressure gradients. AIAA 3rd Theoretical Fluid Mechanics Meeting, St. Louis, MO, USA 24-26 June
29. Cramer KC, Pai S (1973) Magnetofluid dynamics for engineers and applied physicists. MacGraw-Hill, New York
30. Mazumder BS, Das SK (1992) Effect of boundary reaction on solute dispersion in pulsatile flow through a tube. J Fluid Mech 239:523-549
31. Bathe KJ (1996) Finite element procedures. Prentice-Hall, NJ
32. Bég T, Bég OA (2003) Chemically-decaying drug transport across membranes. Technical Report, Bradford University Science Park, Listerhills, Bradford, UK
33. Sherman A, Sutton EW (1961) Magnetohydrodynamics. Evanston, IL, USA
34. Dybbs A, Edwards RV (1984) A new look at porous media fluid mechanics: Darcy to Turbulent. In: Bear J, Corapcioglu MY (eds) Fundamentals of transport phenomena in porous media NATO ASI series E: applied sciences, vol 82.
35. Khaled ARA, Vafai K (2003) The role of porous media in modeling flow and heat transfer in biological tissues. Int J Heat Mass Transf 46:4989-5003
36. Vafai K, Tien CL (1981) Boundary and inertial effects on flow and heat transfer in porous media. Int J Heat Mass Transf 24:195-203
37. Gebhart B, Jaluria Y, Mahajan RL, Sammakia B (1998) Buoyancy-induced flows and transport. Hemisphere, USA