References

AARTS, A.C.T. AND OOMS, G. Net flow of compressible

viscous liquids induced by travelling waves in porous media ;

J. Engng. Math., 34(1998), 435-450.

ABD EL NABY, A.E.H and EL MISIERY, A.E.M. Effects of an

endoscope and generalised Newtonian Fluid on peristaltic

motion, Appl. Math. Comput., 128(2002), 19-35.

ABD EL NABY, A.E.H., EL MISIERY, A.E.M. and EL

SHAMY, 1.1. Hydromagnetic flow of fluid with variable

viscosity in a uniform tube with peristalsis, J. Phys. A : Math

Gen., 36(2003), 8535-8547.

ALAZMI, B. and VAFAI, K. Analysis of fluid flow and heat

transfer interfacial conditions between a porous medium and a

fluid layer, Int. J. Heat Mass Transfer, 44(2001), 1736-1 749.

ANTANOVSKII, L.K. and RAMKISSOON, H. Long-wave

peristaltic transport,of a compressible viscous fluid in a finite

pipe subject to a time-dependent pressure drop, Fluid Dyn.

Res., 19(1997), 115-123.

ARIMAN, T and A.S. C A W , Phye. Fluids 10, (1967),

2497- 2499

ARIMAN, T and AHMET S. CAKMAK, Some Basic flows in

Micropolar fluids, Rheological Acta, volume 7, (1967), 236-

242.

ARIMAN, T and CAKMAK AS., Phys. Fluids 10, (1967)

2497- 2499.

ARIMAN. T and CAKMAK. A.S., Some Basic viscous flows

in Micropolar fluids, Rheologica Acta, Band 7, Heft 3

(1968), 236-242.

ARINIAN, T., TURK, M.A., and SYLVESTER, N.,

Microcontinum fluid mechanics - a review, Int. J.Engng. Sci.,

11(1973), 906-930.

ARIMAN, T., TURK, M.A., and SYLVESTER, N., Application

of microcontinurn fluid, mechanics, Int. J. Engng. Sci.,

12(1974), 273-293.

BECKER, E. Simple Non-Newtonian fluid flows, Adv. Appl.

Mech., 20(1980), 177-226.

BERGEL, D.H. Cardiovascular Fluid Dynamics, Academic

Press, London, 1972.

BERTUZZI, A., SALINARI, S., MANCINELLI, R. and

PESCATORI, M. Peristaltic transport of a solid bolus,

J.Biomech., 16 No.7(1983), 469-464.

BEAVERS, G.S. and JOSEPH, D.D. Boundary conditions at a

naturally permeable wall, J.Fluid Mech., 13(1967), 197-207.

BIRD, R.B., STEWART, W.E. and LIGHTFOOT, E.N.

Transport phenomena, New York, Wiley, 1960.

BOHME,' G., and FRIEDRICH, R. Peristaltic flow of

viscoelastic liquids, J.Fluid Mech., 128(1983), 109- 122.

BOYARSKY, S. Surgical physiology of the renal pelvis,

Monogr. Surg. Sci. 1(1964), 173-213.

BURNS, J.C. and PARKES, T. Peristaltic motion, J. Fluid

Mech., 29(1967), 731-743.

BUGLIARELLO, G KAPUR, C and HSIAO. G, The profile

viscosity and other characteristics of blood flow in a non-

uniform shear filed. Proceedings of the Fourth International

congress on Rheology, 4, Symposium of Birorheology (edited

by Copless, A.L.), Inter science, New York,(1965), 357-370.

BUGLIARELLO, G and SEVILLA, J. Velocity distribution

and other characteristics of steady and pulsatile blood flow in

fine glass tubes. Biorheology.7, (1970)85-107.

BRASSEUR, J.G., CORRSIN, S. and LU, NAN Q. The

influence of a peripheral layer of daerent viscosity on

peristaltic pumping with Newtonian fluids, J.Fluid Mech.,

174(1987), 495-519.

BROWN, T.D. and HUNG, T.K. Computational and

experimental investigations of two dimensional nonlinear

peristaltic flows, J. Fluid Mech., 83(1977), 249-272.

CAMENSCHI, G. and SANDRU, N. A model of a viscous fluid

motion through an axisymmetrical deformable pipe with thin

linear elastic wall, Rev. h u m , Math.Pures Et Appl., 24

N0.6(1979), 719-724.

CAREW, E.O. and PEDLEY, T.J. An active membrane model

for peristaltic pumping : Part I - Periodic activation waves in

an infinite tube, Trans. ASME J.Biomech. Engng., 119(1997),

66-76.

CASSON N Rhelogy of Disperse system, Ed. C. C Mill,

Pergamon press, New York, (1959) 84.

CENGEL. Y.A, and CIMBALA, J.M. Fluid Mechanics

(Fundamental and Applications) McGraw Hill Int. Edn. 2006.

CHANG, M.W., ROSENDALL, B. and FINLAYSON, B.A.

Mathematical modeling of normal pharyngeal bolus transport:

A preliminary study, J.Rehab. Res, Dev., 36 No.3(1998), 327-

334.

CHANNABASAPPA, M.N. and Ranganna, G, Proc. Indian

Acad, Sci. Vol. 83A, No.4 (1976), P.145.

CHANNAW-UAPPA, M-N, UMAPATHY, KG., AND NAYAK. I.V. Effect of the porous lining on the flow between two

concentric rotating cylinders. Proc. Indian Acad. Sci., Vol,

88A, Part 111, 1979, PP. 163-167

CHARM, .S.E. and KURLAND, G.S. Viscometry of human

blood for shear rates of 0-10, 000 sec.1 Nature, (1966)

206-617.

CHATURANI, P and RANGANATHA, T.R. solute transfer in

fluid flow in permeable tubes with application to flow in

glomerular capillaries. Acta. Mechanica 96, (1993) 139- 164.

CHATURANI. P and PONNALAGAR SAMY. R, A study of

non-Newtonian aspects of blood flow through stenosed

arteries and its applications in arterial diseases J.

Biorehology, 22 (1985) 521-531.

CHEN, F. and CHEN, C.F. Convection in superposed fluid and

porous layers, J.Fluid Mech., 234(1992), 97-1 19.

CHIEN, S., USAMI, S., TAYLOR, H.M., LUNDBERG, J.L. &

GREGER SONS, M.t. Effects of hamatocrit and plasma

proteins on human blood rheology at low shear rates. J. appl.

Physiol, 21, (1965), 81-87.

CHOW, T.S. Peristaltic transport in a circular cylindrical pipe,

Trans, ASME J.Appl.Mech., 37(1970), 901-905.

CHU, KWANG-HUA W, and FANG, J. Peristaltic transport in

a slip flow, Eur. Phys. J.B, 16(2000), 543-547.

CHU, KWANG-HUA W. Transport within a microtube

induced by a surface acoustic wave, Eur.Phys.J.AP of

13(2001), 147-152.

CHU, KWANG-HUA W. Peristaltic transport within a micro-

tube, Physica Scripta, 65(2002), 283-288.

CHU, KWANG-HUA W. Stability of flows in a peristaltic

transport, Mech. Res. Comm, 30(2003), 623-628.

COCKELET,G.R. The rheology of human blood, Biomechanics.

Edited by FUNG. Y.C. Prentice_Hall(1972), 63-103.

COMPARINI, E & MANNUCCI, P. Flow of Bingham fluid in

contact with a Newtonian fluid. J.Math. Anal. Appl. 227

(1998), 359-381

COWIN, S.C. Polar fluids, Physics of Fluids, ll(9) (1968),

1919-1927.

DAMIANO, E.R., DULING, B.R., LEY, K. and SKALAK, T.C.

Axiaymmetric pressure - driven flow of rigid pellets through a

cylindrical tube lined with a deformable porous wall layer,

J.Fluid Mech., 314(1996), 163-189.

DAS, B. and BATRA, R.L. Secondary flow of a Casson fluid in

a slightly curved tube, Int. J. Non-linear Mechanics, 285,

(1993), 567-577.

DE VRIES, K., LYONS, E.A., BALLARD, J., LEVI, C.S. and

LINDSAY, D.J. Contractions of the inner third of the

myometrium, Arne. J.0bstetrics Gynecol., 162(1990), 679-682.

DIMITROPOLOS, C.D., EDWARDS, B.J., CUE, K.S. and

BERIS, A.N. Efficient pseudospectral flow simulations in

moderately complex geometries. J.Comp.Phys., 144(1998),

517-549.

DUSEY, M. and BRASSEUR, J.G. Accuracy of the lubrication

theory approximation a t low Reynolds numbers : application

to modeling peristaltic transport, In Proceedings of ASME

Applied Mechanics .and Material Symposium, Johns Hopkins

University, June 1996.

EL MISERY, A.M. ELSHEAWEY, E.F. and HAKEEM, A

Peristaltic motion of a n ihcompreesible generalbed

Newtonian fluid in a planar channel, J. Phys. Soc. Japan,

65:ll (1996), 3524-3529 .

EL SHEHAWEY, E.F. and HUSSENY, S.Z.A. Effects of

porous boundaries on peristaltic transport through a porous

medium, Acta Mechanica, 143(2000), 165- 177.

EL SHEHAWEY, E,F, and EL SEBAEI, W. Peristaltic

transport in a cylindrical tube through a porous medium,

1nt.J. Math. Math. Sci., 24 No.4(2000), 217-230.

ERDOGAN, M., Emin, "The effects of side walls on axial

flow in rectangular ducts with suction and injection " , Acta

Mechanica, 162(2003), 157-166.

ERINGEN, A.C. Simple microfluids. 1nt.J. Engng, Sci.2,

(1964), 205.

ERINGEN, A.C. Theory of Micropolar fluid ONR Report.

1965.

ERINGEN, A.C. Theory of micropolar fluids, J.Math. Mech.,

16 N0.1(1966), 1-18.

EYTAN, 0 . and ELAD, D. Analysis of Intra - Uterine fluid

motion induced by uterine contractions, Bull. Math. Bio.,

61(1999),221-238.

EYTAN, 0.. JAFFA, A.J., HAR-MOV, J., DALACH, E., and

ELAD, D. Dynamics of the intrauterine fluid - wall interface,

Annals Biomed. Engng. 27(1999), 372-379.

EYTAN, O., JAFFA, A.J. and ELAD, D. Peristaltic flow in a

tapered channel : application to embryo transport within the

uterine cavity, Med. Engng. Phys., 23(2001), 473-482.

FANCHIN, R., RIGHIM, C., OLIVENNES, F., TAYLOR, S.,

DE ZIEGLER, D. and FRYDMN, R. Uterine contractions at

the time of embryo transfer alter pregnancy rates after in - vivo fertilization, Hum. Reprod., 13(1998), 1968-1974.

FAUCI, LISA J. Peristaltic pumping of solid particles, Comp.

Fluids, 21 No.4(1992), 583-592.

FUNG Y.C and TANG, H.T., Fluid movement in a channel

with permeable walls covered by porous media. A model of

lung alveolar sheet, J. Appl. Mech, 97(1975), 45-50.

FUNG, Y.C. and YIH, C.S. Peristaltic transport, Trans ASME,

E.J. Appl. Mech,. 35, (1968) 669-675.

FUNG, Y.C. Muscle controlled flow, Develop. Mech., 6(1971),

33-61.

FWNG, Y.C. Biomechanics : motion, flow, stress and growth,

New York, Springer-Veriag ; (1990).

FUNG, Y.C. Biomechanics : Mechanical properties of Living

Tissues, New York, Springer-Verlag, (1993).

FUNG, Y.C. and YIH, C.S. Peristaltic transport, Trans.

ASME J. Appl. Mech., 35(1968), 669-675.

GIRIJA DEVI, R., and DEVANATHAN, R. Peristaltic motion

of a micropolar fluid , Proc. Indian Acad. Sci.81(A) (1975), 149-

163.

GIVLER, R.C. and ALTOBELLI, S.A. A determination of the

effective viscosity for the Brinkman - Frochheimer flow model,

J. Fluid Mech., 268(1994), 355-370.

GOPALAN, N.P, PULSATILE blood flow in regid pulmonary

alveolar sheet with porous walls, Bull, Math. Biol. 43:5

(1981) 563-577.

GRIFFITHS, D.J. Flow of urine through the ureter : A

collapsible, muscular tube undergoing peristalsis, Trans.

ASME J.Biomech. Engng., 11 1(1989), 206-21 1.

GUPTA, B.B. and SESHADRI, V. Peristaltic pumping in non-

Miform tubes, J.Biomech., 9(1976), 105-109.

GUYTON, A.C. Text book of medical physiology, Philadelphia

: Saunders Co., 1986.

HANIN, M. The flow through a channel due to thnsversally

oscillating walls, Israel. J . Tech., 6 No.1-2 (1968), 67-71.

HASAN,Z., GUPTA, B.B. and SEHSADRI, V. Peristaltic

pumping in nouniform distensible tuhes with different wave

forms, J. de Biphys. Med. Nucle., 8 No.1(1984), 9-14.

HAYAT, T., WANG, Y., SIDDIQUI, A.M., HUTTER, K. and

ASGHAR, S. Peristaltic transport of a third-order fluid in a

circular cylindrical tube, Math. Models & Methods in Appl.

Sci., 12(2002), 1691-1706.

HAYAT,T., WANG, Y., SIDDIQUI, A.M., and HUTTER, K.

Peristaltic motion of a Johnson - Segalman fluid in a planar

channel, Math. Problems in Engng, 1 (2003), 1-23.

HIRAHAR, H. and KAWAHASI, M. Numerical analysis of

peristaltic pumping at high Reynolds number, in 3rd Japan - China joint conference on Fluid Machinery, Osaka, (1990),

419-422.

HOU, J.S., HOLMES, M.H., LAI, W.M. and MOW, V.C.

(1989) Boundary conditions at the Cartilage - Synovial fluid

interface for joint lubrication and theoretical verifications,

Trans. ASME J.Biomech. Engng., 111(1989), 78-87.

HUMPHREY, J.D. Continurn biomechanics of soft biological

tissues, Proc. R.Soc.Lond. A, 469(2003), 3-46.

HUNG, T.K, and BROWN, T.D. Solid - particle motion in two

- dimensional peristaltic flows, J. Fluid Mech., 73(1976), 77-

96.

JAFFRIN, M.Y. and SHAPIRO, A.H. Peristaltic transport,

Trans ASME J. Appl, Mech., 36(1969), 379-381.

JAFFRIN, M.Y. Inertia and streamline curvature effects on

peristaltic pumping, Int. J.Engng. Sci., 11(1973), 681-699.

JAFFRIN, M.Y. and SHAPIRO, A.H. Peristaltic Pumping,

Ann. Rev. Fluid Mech., 3(1971), 13-36.

KAIMAL, M.R. Peristaltic pumping of a Newtonian fluid with

particles suspended in it a t low Reynolds number under long

wavelength approximations, Trans ASME J. Appl. Mech.,

46(1978), 32-36.

KAPUR, J.N. Ma thematical Models in Biology and Medicine,

Affiliated East-West press Pvt. Ltd. New York, (1985)

KAZAKIA. Y and ARIMAN T. Heat conducting micropolar

fluids Rheol. Acta 10, (1971) 319-325.

KEENER, J.R and SNEYD, J.Mathematica1 Physiology,

Springer, (1998).

KILL, F. The function of the ureter and the renal pelvis,

Saunders : Philadelphia (1957).

KUNZ, G. BEIL, D., DEININGER, H., EINSPANIER, L.A.,

MALL, G., and LEYENDECKER, G. The uterine peristaltic

pump, normal and impeded sperm transport within the female

genital tract, Adv. Exp Med. Biol., 424(1997), 267-277.

KUZNETSOV, A.V. Analytical investigation of the fluid flow

in the interface region between a porous medium and a clear

fluid in a channels partially filled with a porous medium,

Appl. Sci. Res., 56(1996), 53-67.

KUZNETSOV, A.V. Influence of the stress jump condition a t

the porous - mediumlclear-fluid interface on a flow a t a porous

wall, Int. Comm. Heat Mass Transfer, 24(1997), 401-410.

LATHAM, T.W. Fluid motions in peristaltic pump, M.S.

Thesis, MIT, 1966. '

LEVINA, G.V. Some regimes of peristaltic pumping, Fluid

dynamics, 18(1983), 683-687.

LEW, H.S., FUNG, Y.C. and LOWENSTEIN, C.B. Peristaltic

carrying and mixing of Chyme in the small intestine ( An

analysis of a mathematical model of peristaltic of the small

intestine), J.Biomech., 4(1971), 297-315.

LI, CHIN-HSIU Peristaltic transport in circular cylindrical

tubes, J.Biomech., 3(1970), 513-523.

LI, M, and BRASSEUR, J.B. Non-steady peristaltic transport

in finite-length tubes, J. Fluid Mech., 248(1993), 129-151.

LIEPSCH, D. An introduction to biofluid mechanics - Basic

models and applications, J. Biomech., 35(2002), 415-435.

LONGUET-HIGGINS, M.S. Peristaltic pumping in water

waves, J.Fluid Mech., 137(1983), 393-407.

LU, N.Q. The influence of two Newtonian fluids with different

viscocity on peristaltic pumping, M.S. Thesis , John Hopkins

University, Baltimore, Maryland, 1986.

LUKASZEWICZ, G. Micropolar fluids - theory and

Applications , Birkhauser, Boston 1999.

LYKOUDIS, P.S. and ROOS, R. The fluid mechanics of the

ureter from a lubrication theory point of view, J.Fluid Mech.,

43(1970), 661-674.

MANTON, M.J. Low Reynolds number flow in slowly varying

axisymmetric tubes, J.Fluid Mech., 49(1971), 451-459.

MANTON, M.J. Long-Wave length peristaltic pumping at low

Reynolds number, J. Fluid Mech., 68(1975), 467-476.

MANORANJAN MISHRA, Peristaltic flows, with some

applications, Ph.D, thesis, IISc, (2004)

MAHRENHOLTZ, O.H., MANK, M.G. and ZIMMEWNN,

R.U. The influence of wave form on peristaltic transport,

Biorheology, 15(1978), 501-510.

MEKHEIMER, KH.S., EL SHEHAWEY E.F., ELAW, A.M.

Peristaltic motion of a particle fluid suspension in a planar

channel, Int. J.Theo. Phys., 37 No.11(1998), 2896-2920.

MEKHEIMER, KH. S. Peristaltic transport of a couple stress

fluid in a uniform and non - uniform channels, Biorheology,

39(2002), 755-765.

MEKHEIMER, KH.S. and AL-ARABI, T.H. Nonlinear

peristaltic transport of MHD flow through a porous medium,

Int. J.Math. Math. Sci., 26(2003), 1663-1682.

MERNONE, A.V., MAZUMDAR, J.N. and LUCAS, S.KA

mathematical study of peristaltic transport of a Caeson fluid,

J.Math. Comput. Model., 36(2002), 885-912.

Merrill. F.W., Benis, A.M.S. Gillialand, e.R., Sherwood, T.K.

and Saltzman, E.W. Pressure-flow relations of human blood

in hollow fibres a t low flow rates, J. Appl. Physio 20, (1965)

954-967.

METZNER, A.B. and REED, J.C. Flow of non-Newtonian

fluids -correlation of the laminar, transition, and turbulent -

flow regions, AIChE J., 1 No.4(1955), 434-440.

MISRA and GHOSH, A mathematical model for the study of

blood flow through a channel with permeable walls, Acta,

Mech. 122 (1997), 137-153.

MISRA, J.C. and PANDEY, S.K. Peristaltic transport of a

particle - fluid suspension in a cylindrical tube, Comput.

Math. Appl., 28(1994), 131-145.

MISRA, J.C, and PANDEY, S.K. Peristaltic transport in a

tapered tube, Math. Comput. Model., 22(1995), 137-151.

MISRA, J.C. and PANDEY, S.K. Peristaltic transport of a non-

Newtonian fluid with a peripheral layer, Int. J.Engng Sci.,

37(1999), 1841-1858.

MISRA , J.C. and PANDEY, S.K. A Mathematical model for

Oesophegeal swallowing of a food-bolus, Math. Comput.

Model., 33(2001), 997-1009.

MISRA, J.C. and PANDEY, S.K. Peristaltic transport of blood

in small vessels : study of a mathematical model, Comput.

Math. Appl., 43(2002), 1183-1 193.

MISRA, J.C. and PATRA, M.K., A non-Newtonian fluid model

for blood flow through arteries under stenotic conditions, J.

Biomech. 26(1992), 1129-1 141.

MISHRA, M. and RAMACHANDRA RAO, A. Peristaltic

transport of a Newtonian fluid in an asymmetric channel, Z.

Angew. Math. Phys. (ZAMP), 64(2003), 532-550.

MISHRA, M. and RAMACHANDRA RAO, Peristaltic slip flow

in a porous tube with a porous peripheral layer, proceedings

of International conference on Mathematical biology, IIT,

Kanpur, Feb. 19-21(2004).

MITTRA, T.K. and PRASAD S.N. On the influence of wall

properties and Poiseuille flow in peristalsis, J.Biomech.,

6(1973), 681-693.

MITTRA, T.K. and PRASAD S.N. Interaction of peristaltic

motion with Poiseuille flow, Bull. Math, Biol., 36(1974), 127-

141.

MUTHU, P., RATHISH KUMAR, B.V. and CHANDRA, P.

Peristaltic motion in circular cylindrical tubes : Effects of wall

properties, Indian J. Pure Appl. Math., 32 No.9(2001), 1317-

1328,

Of4,

MUTHU, P,, RATHISH KUMAR, B.V. and CHANDRA, P. On

the influence of wall properties in the peristaltic motion of

micro polar fluid, ANZIAM J., 46(2003) .

NAJARIAN, S. and NIROOMAND, H. Peristaltic transport of

a power - law fluid with variable consistency, I n 12th

conference of the 'European Society of Biomechanics, Dublin,

2000,308.

NARAHARI, Heat transfer and peristaltic transport of some

viscous fluids, Ph.D thesis, Sri Venkateswara University,

Tirupati, May (1999).

NATARAJAN, S. and MOKHTARZADEH - DEHGHAN, M.R.

Numerical prediction of flow in a model of a (potential) soft

acting peristaltic blood pump, Int. J. Numer. Meth. Fluids.,

32(2000), 71 1-724.

NEALE, G., and NADER, W. (1974) Practical significance of

Brinkman's extension of Darcy's law : Coupled parallel flows

with in a channel and a bounding porous medium, Can.

J.Chem. Engng., 62(1974), 475-478.

LI:ELD, D.A. The limitations of the Brinkman-Forchheimer

equation in modeling flow in a saturated porous medium and

a t an interface, Int. J.Heat and Fluid flow, 12(1991), 269-272.

NIELD, D.A. Modelling fluid flow in a saturated porous media

and a t interfaces, In : Ingham, D.B. and Pop, I.(Eds.),

Transport phenomena in porous media 11. Pergamon, 2002,

1-19.

OCHOA -, TAPLA, J.A. and WHITAKER, S. Momentum

transfer at the boundary between a porous medium and a

homogenous fluid : Theoretical Development, Int. J. Heat

Mass Transfer, 38(1995), 2635-2646.

OSNAT EYTAN, Ariel J. Jaffa, David Elad. 2001 Peristaltic

flow in a tapered channel: application to embryo transport

within the uterine cavity. J. Medical Engg. Physics. 25,

(2001) 473-482.

PAL, A. and BRASSEUR, J.G. The mechanical advantage of

local longitudinal shortening on peristaltic transport, Trans

ASME J. Biomech. Engng, 124(2002), 94-100.

PEDLEY, T.J. Mathematical modeling of arterial fluid

dynamics, J.Engng. Math., 47(2003), 419-444.

PHILIP, D. and CHANDRA, P. peristaltic transport of a

simple micro fluid, Proc. Nat. Acad. Sci. India., 66(A) (1995rJr.

63-74. ' 4

POLOTSKII, V.N. and STAROBIN, I.M. Maximum efficiency

of peristaltic transport, Fluid Dynamics, 28(1993), 289.292,

,,#i

POZRIKIDIS, C. A study of peristaltic flow, J. Fluid Mech.,

180(1987), 515-527.

PROVOST, A.M. and SCHWARZ, W.H. A theoretical study of

viscous effects in peristaltic pumping, J. Fluid Mech.,

279(1994), 177-195.

RADHAKRISHNAMACHARYA, G. Long wavelength

approximation to peristaltic motion of a power law fluid,

Rheol. Acta., 21(1982), 30-35.

RAJU, K.K. and DEVANATHAN, R. Peristaltic motion of a

non-Newtonian fluid part -I, Rheol. Acta., 11(1972), 170-178.

RAJU, K.K. and DEVANATHAN, R. Peristaltic motion of a

non-Newtonian fluid part-I1 : Visco-elastic fluid, Rheol. Acta,

RAMACHANDRA RAO, A,, and USHA, S. Peristaltic

transport of two immiscible viscous fluid in a circular tube,

J. Fluid Mech., 298(1995),271-285.

RAMACHANDRA RAO, A., and USHA, S. Peristaltic pumping

i~ a circular tube in the presence of an eccentric catheter,

Trans. ASME J.Riomech. Engng., 117(1995), 448-454.

RAND, P.W. LACOMBE, E., Hunt, H.E. and Austin,

W.H. viscosity of normal blood under normothermic and

hypothemic conditions. J. Appl. Physiol. 19, (1964), I 17-122.

RATH, H.J. Peristaltic flow thmugh a lobe-shaped tube,

Int.J.Mech.Sci., 24(1982), 359.367.

RATH, H.J. and REESE, G.W. Peristaltic flow of non-

Newtonian fluids containing small spherical particles, Arch.

Mech., 36 No.2(1984), 263-277.

RATISH KUMAR, B.V. and NAIDU, K.B. A numerical study

of peristaltic flows, Comp. Fluids, 24(1995), 16 1- 176.

REESE; G.W., and RATH, H.J. A MODEL OF A COMBINED

POROUS PERSTALTIC PUMPING SYSTEM, In

Physiological Fluid Dynamics 11, Proc. 2nd international

conference on physiological fluid dynamics, IIT Madras,

L.S.Srinath and M.Singh, eds., Tata McGraw-Hill, New Delhi,

1987, 190-195.

RILEY, N. Steady streaming, Annu. Rev. Fluid Mech.,

33(2001), 43-65.

ROOS, R. and LYKOUDIS, P.S. The fluid mechanics of the

ureter with an inserted catheter, J.Fluid Mech., 46(1971), 625-

630. I l l '

SAFFMAN, P.G. On the boundary conditions at the surface of'

a porous medium, Stud. Appl. Math. 1 No.2(1971), 93-101.

SCOTT BLAIR, G.W. An equation for the flow of blood

plasma and serum through glass capillaries., Nature 185,

(1959) 631

SCOTT BLAIR, G.W. and SPANNER, D.C. An introduction

to Biorheologes, Elsevier Scient. Publ. Co., (1974), 51.

SELVARAJAN, S., TULAPURKARA, E.G. and VASANTA

RAM, V. A numerical study of flow through wavy-walled

channels, Int. J.Numer ,Meth. Fluids, 26(1998), 519-531.

SELVARAJAN, S., TULAPURKARA, E.G. and VASANTA

RAM, V. Stability characteristics of wavy walled channel

flows, Physics of Fluids, 11 No.3(1999), 579-589.

SELVEROV, K.P. and STONE, H.A. Peristaltically driven

channel flows with applications toward micromixing, Physics

of Fluids, 13 No.7(2001), 1837-1859.

SHAPIRO, A.H., JAFFRIN, M.Y and WEINBERG, S.L.

Peristaltic pumping with long wavelengths at low Reynolds

number, J. Fluid Mech, 37(1969), 799-825.

b, , SHAPIRO, A.H., ,and JAFFRIN M.Y Reflux in peristaltic

pumping : Is it determined by the Eulerian or Lagrangian

mean velocity, Trans ASME J. Appl. Mech., 38(1971), 1060-

1062.

SHEN, M.C. Asymptotic theory for peristaltic transport in a

tube of arbitrary cross section, Physics of Fluids, 19

No.2(1976), 213-218.

SHEN, M.C. and SHIH, S.M. Comments on "Asymptotic

theory for peristaltic transport in a tube of arbitrary cross

section " , Physics of Fluids, 21 No.9(1978), 1663-1664.

SHEN, M.C., SHIH, S.M. and WU, A.M.Asymptotic method

for peristaltic transport, Bull-Math. Biol., 42(1980), 306-326.

SHEN, M.C., LIN, K.C. and SHIH, S.M. Peristaltic transport

of a fluid -particle mixture, SIAM J.Math. Anal., 12(1981),

49-59.

SHEN, M.C. EBEL, D. Asymptotic methods for peristaltic

transport of a heat-conducting fluid, J.Math.Ana1. Appl.,

127(1987), 49-71.

SHENOY, A.V. Non-Newtonian fluid heat transfer in porous

media, Adv.Heat Transfer, 24(1994), 101-190.

SHUGAN, I.V., SMIRNOV, N.N and LEGROS, J.C. Streamin 1 4 8

flows in a channel with elastic walls, Physics of Fluids, 14 i

NO. 10(2002), 3602-351 1.

SHUKLA, J.B., PARIHAR R.S., RAO, B.R.P. and GUPTA, S.

P. Effects of peripheral - layer viscosity on peristaltic

transport of a bio-fluid, J.Fluid Mech., 97(1980), 225-237.

SHUKLA, J.B. and GUPTA, S.P. Peristaltic transport of a

powerlaw fluid with variable consistency, Trans. ASME

J.Biomech.Engng., 104(1982), 182-186.

SHUKLA, J.B.,CHANDRA,P.,SHARMA,R.and

RADHAKRISHANWCHARYA, G. Effects of peristaltic and

longitudinal wave motion of the channel wall on movement of

micro-organisms : application to spermatozoa transport,

J.Biomech. 21(1988),947-954.

SIDDIQUI, A.M., PROVOST, A. and SCHWARZ, W.H.

Peristaltic pumping of a second-order fluid in a planar

channel, Rheol.Acta, 30(1991), 249-262,

SIDDIQUI, A.M., PROVOST, A. and SCHWARZ, W.H.

Peristaltic pumping of a third-order fluid in a planar channel,

Rheol.Acta, 32(1993), 47-56.

SIDDIQUI, A.M. and SCHWARZ, W.H. Peristaltic flow of a . r/

second order fluid. in tubes, J.Non-Newtonian Fluid Mech.,

53(1994), 257-284.

SISAVATH, S. , JING, X., and ZIMMERMAN, R.W. Creeping

flow through a pipe of varying radius , physics' of Fluids, 13

N0.10(2001), 2762-2772.

SREENADH, S. USHA, S. ARUNACHALAM, P.V. Peristaltic

transport of two immiscible viscous fluids between two

permeable walls, Mathematical Modelling of Non-linear

Systems, Vol.11: Mathematical Techniques and Application

Areas, Department of Mathematics, Indian Institute of

Technology, Kharagpur, India, December, 1999, 385-393.

SRINIVASA, L.M., KESAVA RAO, K., NOTT, P.R. A frictional

Cosserat model for the slow shearing of granular materials,

J.Fluid Mech., 467(2002), 377-409.

SRINIVASACHARYA, D., MISHRA, M. and

RAMACHANDRA RAO, A. Peristaltic pumping of a micro

polar fluid in a tube , Acta Mechanica, 161(2003), 166-178,

SRIVASTAVA, L.M. Peristaltic transport of a couple stress

fluid, Rheol. Acta. 26(1986), 638-641.

SRIVASTAVA, L.M., SRIVASTAVA, V.P. and SINHA, S.N: ' ' r %

Peristaltic transport of a physiological fluid Part - I : Flow in 1

Non-uniform geometry, Biorheology, 20(1983), 163.166.

SRIVASTAVA, L.M., SRIVASTAVA, V.P. and SINHA, S.N.

Peristaltic transport of a physiological fluid Part - I1 : Flow in

uniform geometry, Biorheology, 20(1983), 167- 178.

SRIVASTAVA, L.M., SRIVASTAVA, V.P. and SINHA, S.N.

Peristaltic transport of a physiological fluid Part - I11 :

Applications, Biorheology, 20(1983), 179- 186.

SRIVASTAVA, L.M. and SRIVASTAVA, V.P, Peristaltic

transport of blood : Casson model 11, J.Biomech., 17(1984),

821 -829.

SRIVASTAVA, L.M. and SRIVASTAVA, V.P, Interaction of

peristaltic flow with pulsatile flow in a circular cylindrical

tube, J.Biomech., 18(1985), 247-263.

SRIVASTAVA, L.M., and SRIVASTAVA, V.P. Peristaltic

transport of a non - Newtonian fluid : application to the vas

deferens and small intestine, Annals Biomed, Engng.,

13(1985), 137-153.

SRIVASTAVA, L.M. Peristaltic transport of a Casson fluid

Nig. J. Sci. Res. 1, (1987), 7 1-82.

SRIVASTAVA, L.M. and SRIVASTAVA, V.P. Peristaltic

transport of power law fluid : application to the ductus of

efferuntus of the reproductive tract, Rheol. Acta., 27(1988),

428-433.

SRIVASTAVA, L.M. and SRTVASTAVA, V.P., Peristaltic

transport of a particle-fluid suspension, Trans. ASME J.Biomech.Engng., 111(1989), 157-165.

SRIVASTAVA, L.M. and SRIVASTAVA, V.P, Effects of

Poiseuille flow on peristaltic transport of a particulate

suspension , ZAMP, 46(1995), 655-678.

SUBBAREDDY, M.V. MANORANJAN MISHRA,

SREENADH, S. andRAMACHANDRA RAO, A. Influence of

lateral walls on peristaltic flow in a Rectangular ducts,

Journal of Fluids Engineering, 127 (2005), 824-827.

SUBBAREDDY, M.V. Some studies on peristaltic pumping

of biofluids, Ph.D. thesis, Sri Venkateswara University,

Tirupati, (2004)

TADJFAR, M., YAMAGUCHI, T. and HIMENO, R. Unsteady

three-dimensional computations of single-wave peristaltic

flows, in 1 2 t h conference of the European Society of

Biomechancis, Dublin, 2000, 306.

TAKABATAKE, S. and AYUKAWA, K. Numerical study of

two-dimensional peristaltic flow, J.Fluid Mech., 122(1982),

439-465.

TAKABATAKE, S. AYUKAWA, K. and MORI, A. ~eristadil ' .i t

pumping in a circular tubes : A numerical study of fluid

transport and its effieency, J.Fluid Mech., 193(1988), 267-283.' '

TANG, D. and SHEN, M.C. Peristaltic transport of a heat - conducting fluid subject to Newton's cooling law at the

boundary , Int. J.Engng, Sci. 27(1989), 809-825.

TANG, D. and SHEN, M.C. Numerical and asymptotic

solutions for the peristaltic transport of a heat-conducting

fluid, Acta Mechanica, 83(1990), 93- 102.

TANG, D. and RANKIN 111, S.M. Peristaltic transport of a

heat-conducting viscous fluid as an application of abstract

differential equations and semigroup operators, J. Math. Anal.

Appl., 169(1992), 391-407.

TANG, D. and SHEN, M.C. on- stationary peristaltic

transport of a heat-conducting fluid, J.Math. Anal. 169(1992),

391-407.

TANG, D. and RANKIN, S. Numerical and asymptotic

solutions for peristaltic motion of nonlinear viscous flows with

elastic free boundaries, Siam J.Sci.Comput. , 14 No.6(1993),

1300-1319.

TAYLOR, (3.1, Analysis of the swimming of microscopic

organism, Proc. Roy. Soc. Long. A, 209(195 I), 447-46 1.

TQNG, P. and VAWTER, D. An analysis of peristaltic

pumping, Trans. ASME J. Appl. Mech. , 39(1972), 857-862.

TSANGARIS, S. and THOMADAKIS, M. Some internal flowe

with moving boundaries, 2. Angew. Math. Mech. (ZAMM),

69(1989), T 581- T 583.

TSIKLAURI, D. and BERESNEV, I. Non-Newtonian effecta

in the peristaltic flow of a Maxwell fluid, Phye. Rev. E,

64(2001), 036303.

USHA, R. and PREMA, K. Interaction of peristaltic transport

of a particle-fluid suspension with Poiseuille flow, In

Proceedings of the ASME Fluids Engineering Conference, San

Diego, USA, FED-237, 1996, 753-760.

USHA, R. and PREMA, K. On the influence of wall propertiee

in peristaltic transport of particle-fluid suspension, In

proceedings of the ASME Fluids Engineering Conference,

Vancouver, Canada, FEDSM97,3044,1997.

USHA, R. and PREMA, K. Interaction of pulsatile and

peristaltic induced flows of a particle - fluid euspension, 2.

Angew. Math. Mech. (ZAMM), 78(1998), 207.212. I

USHA, S. and RAMACHANDRA RAO, A. Peristaltic transport

of a biofluid in a pipe of elliptic cross saction, J. ~iamech. ' ,~

28(1995), 45-52. I

USHA, S. and RAMACHANDRA RAO, A. Peristaltic

transport of two layered power - law fluids, Trans. ASME, J.

Biomech. Engng. 119(1997), 483- 488.

USHA, S, and RAMACHANDRA RAO, A. Effects of curvature

and inertia on the peristaltic transport in a two-fluid system,

Int. J.Engng. Sci., 38(2000), 1355-1375.

USHA, S., SREENADH, S., ARUNACHALAM, P.V. Peristaltic

transport of a biofluid in a non-uniform tube with

permeable wall, APPLICABLE 'MATHEMATICS its

perspectives and challenges, Narosa Publishing House (2001),

391-398.

VAFAI, K, and KIM, S.J. Fluid mechanics of the interface

region between a porous medium and a fluid layer - an exact

solution, Int. J. Heat and Fluid Flow, 11(1990), 254-256.

VAFAI, K. and KIM, S.J. (1995) On the limitations of the

Brinkman - Forchheimer - extended Darcy equation, Int, J.

Heat and Fluid Flow, 16(1995), 11-15.

VAJRAVELU, K. SREENADH, S. and RAMESH BABU, V.

Peristaltic pumping of a Herschel-Bulkley fluid in a channel,

Appl. Math. And Computation, 169(2005a), 726-735.

VAJRAVELU, K. SREENADH, S. and RAMESH BABU, V.

Peristaltic pumping of a Herschel-BulMey fluid in an inclined

tube, Int. J. Non-linear Mech. 40(2005b), 83-90.

VAJRAVELU, K. SREENADH, S. and RAMESH BABU, V.

Peristaltic pumping of a Herschel-Bulkley fluid in contact

with a Newtonian fluid, Qarterly of ~ p p l . Math.64,(2006)

N0.4,593-604.

VAN DE VOSSE, F. N. Mathematical modeling of the

cardiovascular system, J. Engng. Math., 47(2003), 175-183.

VISHNYAKOV, V.I., PAVLOV, K.B. and SEMENOV, V.I.

Peristaltic flow of a viscous incompressible fluid in a plane

channel, J. Engng. Phys., 48(1985), 55-59.

WANG, W. and PARKER, K.H. The effects of deformable

porous surface layers on the motion of a sphere in a narrow

cylindrical tube, J. Fluid Mech., 283(1995), 287-305.

WEI, H.H., WATERS, S.L. LIU, S.Q. and GROTBERG, J.B.

Flow in a wavy- walled channel lined with a poroelastic layeq, ,i {

J. Fluid Mech., 492(2003), 23-45.

:I WEINBERG, S.L., ECKISTEIN, E.C. and SHAPIRO, A.H. An,

experimental study of peristaltic pumping,, J. Fluid Mech.,,

WILSON, D.E., and PANTON, R.L. Peristaltic transport due

to finite amplitude bending and contraction waves, J. Fluid.

Mech., 90(1979), 145-159.

WILSON, D.E., STEARMAN, R.R. and PANTON, R.L. Peristaltic pumping by a lateral bending wave, Trans. ASME

J. Biomech. Engng., 101(1979), 239-245.

YIN, F, and FUNG, Y.C. Peristaltic waves in circular

cylindrical tubes, Trans. ASME J. Appl. Mech. 36(1969), 579-

587.

YIN, F.C.P. and FUNG, Y.C. Comparison of theory and

experiment in peristaltic transport, J, Fluid Mech., 47(1971),

93-112.

YIN. F and FUNG, Y.C. Peristaltic waves in circular

cylindrical tubes, Trans. ASME J. Appl. Mech. 36(1969), 579-

587.

ZIEN, T.F, and OSTRACH, S. A long wave approximation to

peristaltic motion, J. Biomech., 3(1970), 63-75.