Herschel - Bulkley model for two-phase blood flow in narrow vessel

• Autorzy: Das S. , Saha G. C.
• Języki publikacji: PL

Abstrakty

EN

A mathematical model for a two-phase blood flow through a circular narrow vessel has been developed by considering blood to be a non-Newtonian liquid of Herschel-Bulkley type and taking into consideration the slip velocity at the wall of the vessel. Analytical expressions for velocities of blood in the peripheral layer and central core layer, flow rate and apparent fluidity of blood have been obtained and their natures are portrayed graphically for different parameters.

Słowa kluczowe

PL

model dwufazowy; przepływ krwi; parametr poślizgu; przepływ

EN

two-phase model; blood flow; slip parameter; velocity profile; flow rate; apparent fluidity; non-Newtonian parameter; peripheral layer thickness and narrow vessel

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2010
• Tom: Vol. 15, no 1
• Strony: 19--34
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Das S.

autor

Saha G. C.

• Department of Mathematics Kalyani Government Engineering College Kalyani - 741235 Nadia, West Bengal, INDIA,

Bibliografia

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• Bennett L. (1967): Red cell slip at wall in vitro. - Science, vol.155, pp.1554-1556.
• Bugliarello G. and Hayden J.W. (1962): High-speed micro cinematographic studies of blood flow in vitro. - Science, vol.138, pp.981-983.
• Bugliarello G. and Sevilla J. (1970): Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes. - Biorheology, vol.7, pp.85-107.
• Gupta B.B. and Seshadri U. (1977): The flow of blood cell suspensions through narrow tubes. - Biorheology, vol.14, pp.133-143.
• Mishra J., Kumer J. and Singh N.L. (2004): A rheological fluid model for MHD parallel plates Hemodialyser. - Acta Sciencia, Indica, vol.30, pp.149-154.
• Saran M. and Popel A.S. (2001): A two-phase model for flow of blood in narrow tubes. - Biorheology, vol.38, pp.415-428.
• Scott Blair G.W. and Spanner D.C. (1974): An Introduction to Biorheology. - Amsterdam: Elsevier Scientific Publicity Company, vol.51.
• Singh N., Goutam R.S. and Bhadauria S.K.S. (2006): Herschel-Bulkley model of viscous fluids in circular cylinders of small radii. - Acta Sciencia, Indica, vol.32, pp.957-960.