Numerical simulation of mass transfer to micropolar fluid flow past a stenosed artery

International Journal for Numerical Methods in Fluids

Volumn 67, Issue 11, 2011, Pages 1655-1676

  Ikbal, Md A ^a   Chakravarty, S ^a   Sarifuddin, ^b   Mandal, P K ^a  

^a VISVA BHARATI UNIVERSITY   (India)

^b Raiganj Surendranath College   (India)

Author keywords

MAC method; Mass transfer; Micropolar fluid; Separation zones; Unsteady

Indexed keywords

ARTERIAL STENOSIS; ARTERIAL WALL; BLOOD FLOW; CONVECTION-DIFFUSION EQUATIONS; DEGREE OF ACCURACY; FLOWING BLOOD; GOVERNING EQUATIONS OF MOTION; KEY FACTORS; LOW DENSITY LIPOPROTEINS; MAC METHOD; MARKER AND CELL METHODS; MASS CONCENTRATION; MICROPOLAR FLUIDS; NON-NEWTONIAN; SEPARATION ZONES; SHERWOOD NUMBERS; STENOSED ARTERIES; UNSTEADY; WALL SHEAR STRESS;

BLOOD; COMPUTER SIMULATION; EQUATIONS OF MOTION; FLUIDS; MASS TRANSFER; MATHEMATICAL MODELS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SHEAR FLOW;

NON NEWTONIAN FLOW;

EID: 81255166062     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2438     Document Type: Article

References (39)

1. Smith FT. The separation flow through a severely constricted symmetric tube. Journal of Fluid Mechanics 1979; 90:725-754.
2. Tu C, Deville M, Dheur L, Vanderschuren L. Finite element simulation of pulsatile flow through arterial stenosis. Journal of Biomechanics 1992; 25:1141-1152.
3. Zendehboodi GR, Moayeri MS. Comparison of physiological and simple pulsatile flows through stenosed arteries. Journal of Biomechanics 1999; 32:959-965.
4. Andersson HI, Halden R, Glomsaker T. Effect of surface irregularities on flow resistance in differently shaped arterial stenoses. Journal of Biomechanics 2000; 33:1257-1262.
5. Usha R, Prema K. Pulsatile flow of particle-fluid suspension model of blood under periodic body acceleration. ZAMP 1999; 50:175-192.
6. Choi HW, Barakat AI. Numerical study of the impact of non-Newtonian blood behavior on flow over a two-dimensional backward facing step. Biorheology 2005; 42:493-509.
7. Khanafer KM, Gadhoke P, Berguer R, Bull JL. Modeling pulsatile flow in aortic aneurysms: effect of non-Newtonian properties of blood. Biorheology 2006; 43:661-679.
8. Lukacova-Medvidova M, Zauskova A. Numerical modelling of shear-thinning non-Newtonian flows in compliant vessel. International Journal for Numerical Methods in Fluids 2008; 56:1409-1415.
9. Eringen AC. Simple microfluids. International Journal of Engineering Science 1964; 2:205-217.
10. Eringen AC. Theory of microfluids. Journal of Mathematics and Mechanics 1966; 16:1-18.
11. Ariman T, Turk MA, Sylvester ND. On steady and pulsatile flow of blood. Journal of Applied Mechanics 1974; 41:1-7.
12. Devanathan R, Parvathamma S. Flow of micropolar fluid through a tube with stenosis. Medical and Biological Engineering and Computing 1983; 21:438-445.
13. Parvathamma S, Devanathan R. Microcontinuum approach to the pulsatile flow in tubes with and without longitudinal vibration. Bulletin of Mathematical Biology 1983; 45:721-737.
14. Hogan HA, Henriksen M. An evaluation of a micropolar model for blood flow through an idealized stenosis. Journal of Biomechanics 1989; 22:211-218.
15. Hogan HA, Henriksen M. A finite element formulation for laminar flow of a fluid with microstructure. International Journal for Numerical Methods in Fluids 1991; 13:1267-1287.
16. Muthu P, Rathish Kumar BV, Chandra P. Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube. Archive of Applied Mechanics 2003; 73:481-494.
17. Caro CG, Fitz-Gerald JM, Schroten RC. Atheroma and arterial wall shear. Observation, correlation and proposal of a shear dependent mass, transfer mechanism for atherogenesis. Proceedings of the Royal Society, London, Series B 1971; 177:109-159.
18. Caro CG, Fitz-Gerald JM, Schroten RC. Proposal of a shear dependent mass transfer mechanism for atherogenesis. Clinical Science 1971; 40:5.
19. Milnor WR. Haemodynamics. Williams and Williams: Baltimore, 1989.
20. Rappitsch G, Perktold K. Computer simulation of convective diffusion processes in large arteries. Journal of Biomechanics 1996; 39:207-215.
21. Rappitsch G, Parktold K, Pernkopf E. Numerical modelling of shear-dependent mass transfer in large arteries. International Journal for Numerical Methods in Fluids 1997; 25:847-857.
22. Wada S, Karino T. Theoretical study on flow dependent concentration polarization of low density lipoprotiens at the luminal surface of a straight artery. Biorheology 1999; 36:207-223.
23. Wada S, Karino T. Theoretical prediction of low density lipoproteins at the luminal surface of an artery with a multiple band. Annals of Biomedical Engineering 2002; 30:778-791.
24. Karner G, Parktold K. Effect of endothelial injury and increased blood pressure on albumin accumulation in the arterial wall: a numerical study. Journal of Biomechanics 2000; 33:709-715.
25. Stangeby DK, Ethier CR. Coupled computational analysis of arterial transport-effect of hypertension. Computer Methods in Biomechanics and Biomedical Engineering 2002; 5:233-241.
26. Prosi M, Zunino P, Perktold K, Quarteroni A. Mathematical and numerical models for transfer to low density lipoproteins through the arterial wall; a new methodology for the model set up with application to the study of disturbed lumenal flow. Journal of Biomechanics 2005; 38:903-917.
27. Rappitseh G, Parktold K. Pulsatile albumin transport in large arteries; a numerical simulation study. ASME Journal of Biomechanical Engineering 1996; 118:511-519.
28. Ethier CR. Computational modelling of mass transfer and links to atherosclerosis. Annals of Biomedical Engineering 2002; 30:461-471.
29. Sun N, Wood NB, Hughes AD, Thom SAM, Xu XY. Influence of pulsatile flow on LDL transport in the arterial wall. Annals of Biomedical Engineering 2007; 35:1782-1790.
30. Sarifuddin, Chakravarty S, Mandal PK, Andersson HI. Mass transfer to blood flowing through arterial stenosis. ZAMP 2009; 60:299-323.
31. Nerem RE. Vascular fluid mechanics, the arterial wall and arteriosclerosis. Journal of Biomechanical Engineering Transactions ASME 1992; 114:274-282.
32. Harlow F, Welch JE. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids 1965; 8:2182.
33. Roache PJ. Computational Fluid Dynamics. Hermosa Publishers: New maxico (Revised English Edition).
34. Amsden AA, Harlow FH. The SMAC method: a numerical technique for calculating incompressible fluid flow. Los Alamos Scientific Laboratory Report, LA-4370, 1970.
35. Welch JE, Harlow FH, Shannon JP, Daly BJ. The MAC method. Los Alamos Scientific Laboratory Report, LA-3425, 1996.
36. Hirt CW. Heuristic stability theory for finite difference equations. Journal of Computational Physics 1968; 2:339-355.
37. Markham G, Proctor MV. C.E.G.B. Report TPRD/L/0063/M82, 1983.
38. Yuan F, Chien S, Weinbaum S. A new view of convective-diffusive transport processes in the arterial intima. Journal of Biomechanical Engineering 1991; 113:314-329.
39. Kaazempur-Mofard MR, Wada S, Myers JG, Ethier CR. Mass transport and fluid flow in stenotic arteries: axisymmetric and asymmetric models. International Journal of Heat and Mass Transfer 2005; 48:4510-4517.