Finite element study of nonlinear two-dimensional deoxygenated biomagnetic micropolar flow

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 5, 2010, Pages 1210-1223

  Bhargava, R ^a   Bég, O Anwar ^b   Sharma, S ^a   Zueco, J ^c  

^a INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^b Mechanical Engineering Department   (United Kingdom)

^c TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

Author keywords

Biomagnetic fluid; Finite element method; Micropolar; Non Newtonian hemodynamics; Physiological fluid mechanics; Viscous

Indexed keywords

HEMODYNAMICS; NON NEWTONIAN FLOW;

BIOMAGNETIC FLUID; HAEMODYNAMICS; MICROINERTIA; MICROPOLAR; NON-NEWTONIAN; NON-NEWTONIAN HEMODYNAMIC; PHYSIOLOGICAL FLUID MECHANIC; PHYSIOLOGICAL FLUIDS; TWO-DIMENSIONAL; VISCOUS;

FINITE ELEMENT METHOD;

EID: 70449528495     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.05.049     Document Type: Article

References (48)

1. Jarvinen E, Lyly M, Ruokolainen J, Raback P. Three-dimensional fluid-structure interaction modeling of blood flow in elastic arteries. ECCOMAS CFD, Swansea, 4-7 September; 2001.
2. Dabiri Y, Fatouraee N, Katoozian H. Finite element simulation of blood flow in arteries. In: Proceedings: biomechanics symposium, vol. 485. Netherlands; 2005.
3. Stuhne G., and Steinman D.A. Finite-element modeling of the hemodynamics of stented aneurysms. ASME J Biomech Eng 126 3 (2004) 382-387
4. Chen J., Lu X.-L., and Wang W. Non-Newtonian effects of blood flow on hemodynamics in distal vascular graft anastomoses. J Biomech 39 11 (2006) 1983-1995
5. Chien S., Usami S., Taylor H.M., Lundberg J.L., and Gregersen M.I. Effects of hematocrit and plasma proteins on human blood rheology at low shear rates. J Appl Physiol 21 (1966) 81-87
6. Chien S. Blood rheology in hypertension and cardiovascular diseases. Cardiovas Med 2 (1977) 356-360
7. Chien S, Usami S, Jan K-M, Skalak R. Macrorheological and microrheological correlation of blood flow in the macrocirculation and microcirculation. In: Gabelnick HL, Litt M, editors. Rheology of biological systems, 12-48. Springfield, Illinois: Thomas Charles C; 1973.
8. Chien S, Usami S, Skalak R. Blood flow in small tubes, In: Renkin EM, Michel C, editors. Handbook of physiology, circulation [section on microcirculation]. Bethesda, MD: American Physiological Society; 1984. p. 217-49.
9. Merrill E.W., Cokelet G.C., Britten A., and Wells R.E. Non-Newtonian rheology of human blood- effect of fibrinogen deduced by "subtraction". Circ Res 13 (1963) 48-55
10. Wells R.E., Gawronski T.H., Cox P.H., and Perera R.D. Influence of fibrinogen on flow properties of erythrocyte suspensions. Am J Physiol 207 (1964) 1035-1040
11. Johnston B.M., Johnston P.R., Corney S., and Kilpatrick D. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J Biomech 37 5 (2004) 709-720
12. Cheng T., and Deville M. Pulsatile flow of non-Newtonian fluids through arterial stenoses. J Biomech 29 7 (1996) 899-908
13. Misra J.C., Patra M.K., and Misra S.C. A non-Newtonian fluid model for blood flow through arteries under stenotic conditions. J Biomech 26 9 (1993) 1129-1141
14. Hlavacek M. The role of synovial fluid filtration by cartilage in lubrication of synovial joints-IV: squeeze film lubrication: the central film thickness for normal and inflammatory synovial fluids for axial symmetry under high loading conditions. J Biomech 28 10 (1995) 1199-1205
15. Stoltz J.F., Gaillard S., and Lucius M. A study of the visco-elastic properties of blood in transient flow. J Biomech 13 4 (1980) 341-346
16. Torzilli P.A., and Mow V.C. On the fundamental fluid transport mechanisms through normal and pathological articular cartilage during function II: the analysis, solution and conclusions. J Biomech 9 9 (1976) 587-606
17. Murayama M. Orientation of sickled erythrocytes in a magnetic field. Nature 206 (1965) 420-422
18. Chen I.I.H., and Saha S. Analysis of an intensive magnetic field on blood flow. J Bioelectricity 3 (1984) 293-298
19. Okazaki M., Maeda N., and Shiga T. Effect of an inhomogenous magnetic field on flowing erythrocytes. Eur J Biophys 14 (1987) 139-145
20. Takeuchi T., Mizuno T., Higashi T., Yamagishi A., and Date M. Orientation of red blood cells in high magnetic field. J Magnetism Magn Mater 140-144 (1995) 1462-1463
21. Ruuge E.K., and Rusetski A.N. Magnetic fluids as drug carriers: targeted transport of drugs by a magnetic field. J Magnetism Magn Mater 122 (1993) 335-339
22. Selyama A., Maeda N., and Shiga T. Analysis of distribution of flowing erythrocytes in a model vessel under an inhomogenous magnetic field. Eur J Biophys 25 (1996) 1-7
23. Srinivasacharya D., Radhakrishnamacharya G., and Srinivasulu Ch. Influence of wall properties on peristalsis in the presence of magnetic field. Int J Fluid Mech Res 27 4 (2007) 374-386
24. Bhargava R., Rawat S., Takhar H.S., and Bég O.A. Pulsatile magneto-biofluid flow and mass transfer in a non-Darcian porous medium channel. Mecannica J 42 (2007) 247-262
25. Haik Y, Chen JC, Pai VM. Development of biomagnetic fluid dynamics. In: Proc. IX int. symp. on transport phenomena in thermal fluids engineering, Singapore, pacific centre in thermal fluids engineering, Hawaii USA, June; 1996. p. 25-8.
26. Okazaki M., Maeda N., and Shiga T. Drift of an erythrocyte flow line due to magnetic field. Bioelectromagn J 17 4 (1996) 335-338
27. Haik Y., Pai V., and Chen C.-J. Apparent viscosity of human blood in a high static magnetic field. J Magnetism Magn Mater 225 1/2 (2001) 180-186
28. Tzirtzilakis E.E., and Tanoudis G.B. Numerical study of biomagnetic fluid flow over a stretching sheet with heat transfer. Int J Numer Methods Heat Fluid Flow 13 7 (2003) 830-848
29. Louckopoulos V.C., and Tzirtzilakis E.E. Biomagnetic channel flow in spatially varying magnetic field. Int J Eng Sci 42 (2004) 571-590
30. Tzirtzilakis E.E., Sakalis V.D., Kafoussias N.G., and Hatzikonstantinou P.M. Biomagnetic flow in a 3D rectangular duct. Int J Numer Methods Fluids 44 (2004) 1279-1298
31. Tzirtzilakis E.E. A mathematical model for blood flow in magnetic field. Phys Fluids 17 7 (2005) 077103-077115
32. Eringen A.C. Theory of micropolar fluids. J Math Mech 16 1 (1966) 909-923
33. Eringen A.C., and Kang C.K. The effect of microstructure on the rheological properties of blood. Bull Math Biol 38 2 (1976) 135-159
34. Laskowski L.K., and Wronski S. On pulsatile flow of micropolar fluid. Arch Mech 28 (1976) 615-624
35. Devanathan R., and Parvathamma S. Flow of micropolar fluid through a tube with stenosis. Med Biol Eng Comput 21 (1983) 438-445
36. Bég OA, Bhargava R, Sughanda Rawat S, Takhar HS, Bég TA. Peristaltic pumping of a micropolar fluid in porous channel, 5th world congress in biomechanics, Munich, Germany, July; 2006.
37. Stokes V.K. Theories of fluids with microstructure (1984), Springer Verlag, New York
38. Bég O.A., Takhar H.S., Bhargava R., Sharma S., and Hung T.-K. Mathematical modelling of biomagnetic flow in a micropolar fluid-saturated Darcian porous medium. Int J Fluid Mech Res 34 5 (2007) 403-424
39. Bég O.A., Bhargava R., Rawat S., Halim K., and Takhar H.S. Computational modeling of biomagnetic micropolar blood flow and heat transfer in a two-dimensional non-Darcian porous medium. Meccanica 43 (2008) 391-410
40. Rosensweig R.E. Ferrohydrodynamics (1985), Dover, New York
41. Gorla R.S.R., and Takhar H.S. Boundary-layer flow of micropolar fluid on rotating axisymmetric surfaces with a concentrated heat source. Acta Mech 105 (1994) 1-10
42. Takhar H.S., Bhargava R., Rawat S., Bég T.A., and Bég O.A. Finite element modelling of third grade viscoelastic fluid flow in a Darcy-Forchheimer porous medium with suction effects. Int J Appl Mech Eng 12 (2007) 215-233
43. Takhar H.S., Bhargava R., Rawat S., Bég O.A., Bég T.A., and Hung T.-K. Biomagnetic hydrodynamics in a 2-dimensional non-Darcian porous medium: finite element study. J Theor Appl Mech 37 2 (2007) 59-76
44. Bég O.A., Bhargava R., Rawat S., Takhar H.S., and Bég T.A. A study of buoyancy-driven dissipative micropolar free convection heat and mass transfer in a Darcian porous medium with chemical reaction. Nonlinear Anal Model Control J 12 2 (2007) 157-180
45. Bég O.A., Takhar H.S., Bhargava R., Rawat S., and Prasad V.R. Numerical study of heat transfer of a third grade viscoelastic fluid in non-Darcy porous media with thermophysical effects. Phys Scripta 77 (2008) 1-11
46. Bég O.A., Bhargava R., Rawat S., and Kahya E. Numerical study of micropolar convective heat and mass transfer in a non-Darcy porous regime with Soret and Dufour diffusion effects. Emirates J Eng Res 13 2 (2008) 51-66
47. Bég O.A., Takhar H.S., Bég T.A., Bhargava R., and Rawat S. Nonlinear magneto-heat transfer in a fluid-particle suspension flowing in a non-Darcian channel with heat source and buoyancy effects: numerical study. J King Abdul Aziz Univ. Eng. Sci. 19 1 (2008) 63-88
48. Bathe K.J. Finite element procedures (1996), Prentice-Hall, New Jersey, USA