Flow of a biomagnetic visco-elastic fluid in a channel with stretching walls

Journal of Applied Mechanics, Transactions ASME

Volumn 76, Issue 6, 2009, Pages 1-9

  Misra, J C ^a   Shit, G C ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

^b JADAVPUR UNIVERSITY   (India)

Author keywords

Biomagnetic fluid; Non newtonian model; Stretching walls; Visco elasticity

Indexed keywords

APPLIED MAGNETIC FIELDS; BIOMAGNETIC FLUID; COMPUTATIONAL RESULTS; COUPLED NONLINEAR SYSTEMS; FINITE DIFFERENCE APPROACH; HYPERTHEMIA; MAGNETIC DIPOLE; MAGNETIC DRUG TARGETING; MAGNETIC FIELD STRENGTHS; NON-DIMENSIONAL VARIABLE; NON-NEWTONIAN MODEL; NON-NEWTONIAN MODELS; NUMERICAL TECHNIQUES; PHYSIOLOGICAL STATE; PRESSURE AND TEMPERATURE; RATE OF HEAT TRANSFER; VISCO-ELASTIC FLUID;

BLOOD; BOUNDARY CONDITIONS; CEMENTS; ELASTICITY; EQUATIONS OF STATE; FLUIDS; FRICTION; MAGNETIC FIELDS; MAGNETIC MATERIALS; NEWTONIAN FLOW; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS;

NON NEWTONIAN FLOW;

EID: 77955261939     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3130448     Document Type: Article

References (34)

1. Higashi, T., Yamagishi, A., Takeuchi, T., Kawaguchi, N., Sagawa, S., Onishi, S., and Date, M., 1993, "Orientation of Erythrocytes in a Strong Static Magnetic Field," Blood, 82, pp. 1328-1334.
2. Pauling, L., and Cryell, C. D., 1936, "The Magnetic Properties and Structure of Hemoglobin," Proc. Natl. Acad. Sci. U.S.A., 22, pp. 210-216.
3. Haik, Y., Pai, V., and Chen, C. J., 1999, "Development of Magnetic Device for Cell Separation," J. Magn. Magn. Mater., 194, pp. 254-261.
4. Haik, Y., Pai, V., and Chen, C. J., 2001, "Apparent Viscosity of Human Blood in a High Static Magnetic Field," J. Magn. Magn. Mater., 225, pp. 180-186.
5. Rosensweig, R. E., 1985, Ferrohydrodynamics, Cambridge University, Cambridge.
6. Neuringer, J. L., and Rosensweig, R. E., 1964, "Ferrohydrodynamics," Phys. Fluids, 7, pp. 1927-1937.
7. Haik, Y., Chen, J. C., and Pai, V. M., 1996, "Development of Biomagnetic Fluid Dynamics," Proceedings of the Ninth International Symposium on Transport Properties in Thermal Fluid Engineering, S. H., Winoto, Y. T., Chew, and N. E., Wijeysundera, eds., HI, Jun. 25-28, pp. 121-126.
8. Perry, M. P., 1972, "Thermomechanics," Proceedings of the International Advanced Courses and Workshop, pp. 219.
9. Hiergeist, R., Andra, W., Buske, N., Hergt, R., Hilger, I., Richter, U., and Kaiser, W., 1999, "Application of Magnetic Ferrofluids for Hyperthemia," J. Magn. Magn. Mater., 201, pp. 420-422.
10. Voltairas, P. A., Fotiadis, D. I., and Michalis, L. K., 2002, "Hydrodynamics of Magnetic Drug Targeting," J. Biomech., 35, pp. 813-821.
11. Tzirtzilakis, E. E., and Kafoussias, N. G., 2003, "Biomagnetic Fluid Flow Over a Stretching Sheet With Non-Linear Temperature Dependent Magnetization," ZAMP, 54, pp. 551-565.
12. Loukopoulos, V. C., and Tzirtzilakis, E. E., 2004, "Biomagnetic Channel Flow in Spatially Varying Magnetic Field," Int. J. Eng. Sci., 42, pp. 571-590.
13. Papadopoulos, P. K., and Tzirtzilakis, E. E., 2004, "Biomagnetic Flow in a Curved Square Duct Under the Influence of an Applied Magnetic Field," Phys. Fluids, 16, pp. 2952-2962.
14. Tzirtzilakis, E. E., Xenos, M., Loukopoulos, V. C., and Kafoussias, N. G., 2006, "Turbulent Biomagnetic Fluid Flow in a Rectangular Channel Under the Action of a Localized Magnetic Field," Int. J. Eng. Sci., 44, pp. 1205-1224.
15. Tzirtzilakis, E. E., 2005, "A Mathematical Model for Blood Flow in Magnetic Field," Phys. Fluids, 17, p. 077103.
16. Andersson, H. I., and Valnes, O. A., 1998, "Flow of a Heated Ferrofluid Over a Stretching Sheet in the Presence of a Magnetic Dipole," Acta Mech., 128, pp. 39-47.
17. Misra, J. C., Shit, G. C., and Rath, H. J., 2008, "Flow and Heat Transfer of a MHD Viscoelastic Fluid in a Channel With Stretching Walls: Some Applications to Haemodynamics," Comput. Fluids, 37, pp. 1-11.
18. Misra, J. C., Pal, B., and Gupta, A. S., 1998, "Hydromagnetic Flow of a Second-Grade Fluid in a Channel-Some Applications to Physiological Systems," Math. Models Meth. Appl. Sci., 8, pp. 1323-1342.
19. Misra, J. C., and Pal, B., 1999, "Hydromagnetic Flow of a Viscoelastic Fluid in a Parallel Plate Channel With Stretching Walls," Indian J. Math., 41, pp. 231-247.
20. Andersson, H. I., 1992, "MHD Flow of a Viscoelastic Fluid Past a Stretching Surface," Acta Mech., 95, pp. 227-230.
21. Datti, P. S., Prasad, K. V., Abel, M. S., and Joshi, A., 2004, "MHD Viscoelastic Fluid Flow Over a Non-Isothermal Stretching Sheet," Int. J. Eng. Sci., 42, pp. 935-946.
22. Cortell, R., 2006, "A Note on Flow and Heat Transfer of a Viscoelastic Fluid Over a Stretching Sheet," Int. J. Non-Linear Mech., 41, pp. 78-85.
23. Rajagopal, K. R., Na, T. Y., and Gupta, A. S., 1984, "Flow of a Viscoelastic Fluid Over a Stretching Sheet," Rheol. Acta, 23, pp. 213-215.
24. Dandapat, B. S., and Gupta, A. S., 1989, "Flow and Heat Transfer in a Viscoelastic Fluid Over a Stretching Sheet," Int. J. Non-linear Mech., 24, pp. 215-219.
25. Andersson, H. I., Bech, K. H., and Dandapat, B. S., 1992, "Magnetohydrodynamic Flow of a Power-Law Fluid Over a Stretching Sheet," Int. J. Non-linear Mech., 27, pp. 929-936.
26. Mahmoud, M. A. A., and Mahmoud, M. A.-E., 2006, "Analytical Solutions of Hydromagnetic Boundary Layer Flow of a Non-Newtonian Power-Law Fluid Past a Continuously Moving Surface," Acta Mech., 181, pp. 83-89.
27. Andersson, H. I., and Dandapat, B. S., 1991, "Flow of a Power-Law Fluid Over a Stretching Sheet," Stability Appl. Anal. Continuous Media (SAACM) Italy, 1, pp. 339-347.
28. Dewhirst, M. W., and Samulski, T. V., 1988, "Hyperthemia in the Treatment for Cancer," Upjhon, Kalanazoo, MI.
29. Craciunescu, O. I., and Clegg, S. T., 2001, "Pulsatile Blood Flow Effects on Temperature Distribution and Heat Transfer in Rigid Vessels," ASME J. Biomech. Eng., 123, pp. 500-505.
30. Weinbaun, S., Jiji, L. M., and Lemons, D. E., 1984, "Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer- Part-I: Anatomical Foundation and Model Conceptualization," ASME J. Biomech. Eng., 106, pp. 321-330.
31. Beard, B. W., and Walters, K., 1964, "Elastico-Viscous Boundary Layer Flows," Proc. Cambridge Philos. Soc., 60, pp. 667-6674.
32. Labropulu, F., and Chinichian, M., 2004, "Unsteady Oscillatory Stagnation-Point Flow of a Viscoelastic Fluid," Int. J. Eng. Sci., 42, pp. 625-633.
33. Matsuki, H., Yamasawa, K., and Murakami, K., 1977, "Experimental Considerations on a New Automatic Cooling Device Using Temperature-Sensitive Magnetic Fluid," IEEE Trans. Magn., 13, pp. 1143-1145.
34. Crane, L. J., 1970, "Flow Past a Stretching Plate," Z. Angew. Math. Phys., 21, pp. 645-647.