You are here

Interaction of Pulsatile Flow on the Peristaltic Motion of Couple Stress Fluid Through Porous Medium in a Flexible Channel

Journal Name:

Publication Year:

AMS Codes:

Abstract (2. Language): 
In this paper, we discuss the peristaltic and pulsatile flow of a couple stress fluid through porous medium in a channel bounded by flexible walls. The non-linear equations governing the flow through porous medium are solved under perturbation scheme. The flow separation, the formation of bolus and phenomenon of reflux and the velocity filed and the wall stress are investigated analytically and their behavior is discussed computationally.
213-226

REFERENCES

References: 

[1] Afifi N.A.S. et al, Interaction of peristaltic flow with pulsatile fluid through a porous
medium, Applied Mathematics and Computation, 142 (2003)167-176.
[2] Ariman, T., Turk, M.A and Sylvester, N.D, Steady and pulsatile blood flow, J.Appl.Mech
(ASME), 41 (1974) 1-7.
[3] Chaturavani, P and Palanisamy, V, Casson fluid modal for pulsatile flow under periodic
body acceleration, Biorheology, 27(1990) 747-758.
[4] Chaturvani. and Rathod, V.P, Pulsatile flow of a couple stress fluid through circular tubes
with applications to blood flow, Biorheology, 15(1981)193- 201.
[5] Chaturavani, P. and Upadhya, V.S, Gravity flow of a fluid with couple stress along an
inclined plane with application to blood flow, Biorheology, 14 (1977) 237-246.
[6] Chatzizisis, Y.S and Giannoglou, G.D, Pulsatile flow: A critical modular of the natural
history of atherosclerosis, Medical Hypotheses, 67 (2006) 338- 340.
[7] EL- Shehawey, E.F., Elsayed, M.E.Elbarbary, Afifi, N.A.S.and Mostafa Elshahed, MHD
flow of an elastico-viscous fluid under peristaltic body acceleration, Int.J.Math &
Math.Sci, 239110 (2000) 795-799.
[8] EL- Shehed, M, Pulsatile flow of blood through a stenoid porous medium under period
body acceleration, Applied Mathematics and Computation,138 (2003) 479-488.
[9] E.F.Elshehawey et al, Peristaltic transport in an asymmetric channel through a porous
medium, Applied Mathematics and Computation,182 (2006) 140- 150.
[10] Elshehawey, E.F and Husseny, S.Z.-A, Peristaltic transport with porous boundaries, Int.
J. Math. and Math. Sic, (accepted for publication).
[11] Elshehawey, E.F., Husseny, S.Z.-A; Effects porous boundaries on the peristaltic transport
through porous medium, Acta Mechanica,(accepted for publication)
[12] Eytan et al, Dynamics of the intrauterine fluid-wall interface, Ann. Biomed. Eng, 27
(1999) 372.
[13] Eytan, O and Elad, D, Analysis of intra-uterine fluid motion induced by uterine contractions,
Bull.Math.Biol, 61 (1999) 221.
[14] K.De Vries, E.A.Lyons, J.Ballard, C.S.Levi and D.J.Lindsay, Contractions of the inner
third of myometrim, Am.J.Obstetrics Gynecol162 (1990) 679.
[15] Lukashev, E.A; Mathematical modal of the peristaltic transport of liquid initiated by
the auto-wave process of mass transport through the porous capillarity wall, Kollodnyi-
Zhurnal, 5(1993) 109-113.
[16] Misra, J.C and Sahu, B.K, Flow through blood vessels under the action of a periodic
acceleration field, Comput. Math.Appl, 16 (1988) 993-1016.
[17] Popel, A.S.Regirer, S.A. and Vsick, P.I; A Continuum model of blood flow, Biorheology
11(1974) 427.
[18] Rudraiah, N et al, Vignana Bharathi, P1 (1976).
[19] Sankar, D.S and Hemalatha,K, Pulsatile flow of Herschel-Bulkley fluid through stenosed
arteries-A mathematical modal, Internat, J. Non-Liner Mech, 41(2006) 979-990.
[20] Sankar, D.S and Hemalatha, K, Pulsatile flow of Herschel-Bulkley fluid through catheterized
arteries- A mathematical modal, Appl.Maths. Modal.31, 1497-1517.
[21] Valanis.K.C. and Sun.C.T, Poiseuille flow of a fluid with couple-stress with applications
to blood flow, Biorheology, 6(1979) 85-97.

Thank you for copying data from http://www.arastirmax.com