BEAVERS, G.S., JOSEPH, D.D. (1967) Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30,

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2 AKBAR, N.S., HAYAT, T., NADEEM, S., HENDI. A.A. (201 1) Effects of slip and heat transfer on the peristaltic flow of a third order fluid in an inclined asymmetric channel. Intentational Journal of Heat attd Muss Traiqfer 54, AKBAR, N.S.. NADEEM, S.. HAYAT. T., AWATIF A. HENDI. (201 la) Peristaltic flow of a nanofluid in a non-uniform tube. Hat Mass Transfer DO /sOO23 I AKRAM SAFIA, NADEEM SOHAIL. (2012) Simulation of heat and mass transfer on peristaltic flow of hyperbolic tangent fluid in an asymmetric channel. Int. J. Numer. Meth. Fluiak, DOI: 10.lOOUfld BEAVERS, G.S., JOSEPH, D.D. (1967) Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30, BIRD, R.B., ARMSTRONG, R.C., HASSAGER, 0. (1977) Dynamics of Polymeric Liquids. 1, Wiley, New York. BRASSEUR, J.G., CORRSIN, S., LU, NAN Q. ( 1987) Thc ~nfluenw of a peripheral layer of ditrerent viscosity on peristaltic pumping with Newtonian fluids. J.Fluid Mech., 174, BUGLIARELLO, G. SEVILLA, J. (1970) Velocity dishibution and other characteristics of steady and pulsatile hlood tlow in fine glass tubes. Biorkeology 7, BUGLIARELLO, G., KAPUR, C., HSIAO, G. (1965) The profile viscosity and other characteristics of blood flow in a non-uniform sheer field, Proceedings of the Fourth International Congress on Rheology, Symposium of Biorhcology (Edited by Copley, A.L.). Interscience, New York, BURNS, J.C., PARKES, T. (1967) Peristaltic motion. J. Fluid Mech. 29,

3 CHIEN. S., USAMI, S.. TAYLOR H.M., LUNDBERG. J.L GREGERSONS, M.T. (1965) Effects of hematocrit and plasma proteins on human blood rheology at lowshear rates. J. Appl. Physiol CHOW. T.S. (1970) Peristaltic transport in a circular cylindrical pipe. Truns. ASME J. Appl. Mech. 37, COCKELET, G.R. (1972) The rheology of human blood. Biomechanics (Edited by Fung. Y.C.), Prentice Hall. Englewod CII@ N.J., DEVANATHAN, R., PARVATHAMMA, S. (1980) Long wave length peristaltic transport of non-newtonian fluids. Indian J. Pure appl. Marh. 1 l(4) DHARMENDRA TRIPATHI, (2012) A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer, lntcrnationai Journol of Thermul Sciences 51, DUNN, J.E., RAJAGOPAL, K.R. (1995) Fluids of Differential Type: Critical Review and Thermodynamic Analysis. Inf. J. Engng Sit 33(5), EBAID, A. (2008) Effects of rnabqetic field nnd wall slip conditions on the peristaltic trnnsport of a Newtonian fluid in an asymmetric chmncl, I.'h\~ii-.s Letters A. 372, ELSHEHAWEY. E.F., ELDABE, N.T., ELGHAZY, E.M.. EBAID, A. (2006) Peristaltic transport in an asymmetric channcl through a porous medium. Applied Marhemutics and compufation 183, EYTAN, O., ELAD, D. (1999) Analysis of intra-uterine motion induced by uterine contractions. Bull. Math. Biol. 61, EYTAN, O., JAFFA, A.J., ELAD, D. (2001) Peristaltic flow in a taped channel: application to embryo transport within the uterine cavity. Mcd. Eng. Phys. 23, FUNG, Y.C., YIH, C.S. (1968) Peristaltic transpart. J. Appl. Mech. 33,

4 GUHA, S.K., KAUR, H.,AHMED, A.M. (1975) Mechanism of spdc flow in the vas def-. Med Biol. Eng. 13,s GUPTA, B.B., SESHADRI, V. (1976) Peristaltic transport in non-uniform tubes, J. Riomchanics, 9, HAYAT, T.. WANG, Y., SIDDIQUI, A.M.. HUTTER. K. (2003) Peristaltic motion of a Johnson-Segalman tluid in a Planar channel. Matlrt~nrarical Problem in Engineering, HAYAT, T. ALI, N. AND ASGHAR, S. (2007) Hall effets on peristaltic flow of a Maxwell fluid in a porous medium. Physics Letters A. 363(6), HAYAT, T., UMAR QURESHI, M., ALI, N. (2008) The influence of slip on the peristaltic motion of a third order fluid in an asymmetric channel. Physics Letters A HAYAT, T., MARYlAM JAVED, ASGHAR. S. (2008) MHD peristaltic motion of Johnson-Sqalman tluid in a channel with complian~ walls, Phssics Ixtter A 372, HAYAT, T., AL.VI, N., ALI N. (2008) Peristaltic mechanism of a Maxwell fluid in an asymmetric channel. Notiliricur Ariu/r:vis: KLYII world Applicutiorrs 9, I-IAYAT, T., QUERESHI, MU, HUSSAIN, Q. (2009) Effcct of heat transfer on thc peristaltic flow of an electrically conducting tluid in a pomus space. Appl Math Model, 33, HAYAT T, JAVED M, ASGHAR S. (2010) Slip effects in peristalsis. Numericnl Methods for Partial Di#erential Equations. DOI: /num HAYAT, T., NAJMA SALEEM. ALI. N. (2010) Effect of induced magnetic field on peristaltic transport of a Carreau fluid. Commun Nonlin~ar Sci Numer Simulut 15,

5 HAYAT, T., HINA, S. (2010a) The influence of wall propatics on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer, Nonlinw Aw{vsi~: Real World Applications HAYAT, T., HINA, S. (2010b) Effects of heat and mass transfer on peristaltic flow of Williamson fluid in a non-uniform channel with slip conditions. International Journal for numerical methods irijluids, D01: lo.looztld HAYAT, T., HUSSAIN, Q., UMAR QURESHI, M., ALI, N.. AWATIF A. HENDI. (2011) Influence of slip condition on the peristaltic transport in an asymmetric channel with heat transfer: An exact solution, Inr. J. Numrr. Meth. Fluidr 67, HAYAT. T., NAJMA SALEEM., ASGHAR, S., MOHAMMED SHABAB ALHOTHUALI., ADNAN ALHOMAIDAN. (201 1) Influence of induced magnetic field and heat transfer on peristaltic transport of a Carreau fluid. Commun Nonlinear Sci Nume, Simzrlat 16, HAYAT, T., NOREEN, S., AWATIF A. HENDI. (201 1) Peristnltic motion of Phan- Thien-Tanner fluid in the presence of slip condition. J Niorhwl. DO]: /~ HAYAT, T., HINA, S., AWATIF A. HENDI, (201 lo) lnllucncc of wall properties on peristaltic Transport of Second Grade Fluid with Hcut and Mass Transfer, lleut Transfer-Asian Resaawh DO lhtj.2036 I. HAYAT, T., HINA, S., AWATIF A. HENDI, (201 Ib) Peristaltic motion of Powerlaw fluid with heat and mass transfer, CfilN. PtiYS. LE7T 28(8), (14). JAFFRIN, M.Y., SHAPIRO, A.H. (1971) Peristaltic pumping. Ann. Rev. Fluki Mech. 3, KAPUR, J.N. (1985) Mathematical Modeb in the Biology and Medicine, Afiliatcd East-West press private limited, New Delhi.

6 KOTHANDAPANI. N., SRINIVAS, S., (2008a) on the influence of wall propaties in the MHD peristaltic transport with heat transfer and porous medium. Phys. Lctt A. 372, KOTHANDAPANI, M., SRINIVAS, S. (2008b) Peristaltic transport of a Jeffery fluid under the effect of magnetic field in an asymmetric channel. lnt. J. Non-Linear Mech.43, LATHAM, T.W. (1966) Fluid motion in a peristaltic pump, M.S thesis, Massachusetts Institute of Technology, Cambridge. LEW, H.S., FUNC, Y.C., LOWENSEIN, C.B. (1971) Peristaltic canying and mixing of chyme in small intestine. J. Biomechanics. 4, MEKHEIMER, KH S. (2004) Peristaltic flow of blood under the effect of magnetic field in a non-uniform channels. Appl. Math. Comput. 153, MEKHEIMER, KH. S., ARABI-AL, T. H. (2003) Nonlinear peristaltic transport of MHD flow through a porous medium. Intc~rnatiorrc~l Journal of Marhcma~ic-s and Mathematical Scie~tces MERRIAM-WEBSTER'S. (1'905) Medical Dictionary. Mcmrun-Wchstcr's, Inc. MISHRA, M.. RAMACHANDRA RAO, A. (2003) Pcnstaltic transport of e Newtonian fluid in an asymmetric channel, Z Angcw. Math. Php. 54, MISRA, J.C., PANDEY, S.K. (1995) Peristaltic transport in a tapcred tube. Malhl. Comput. Modelling MISRA, 1. C., PANDEY, S. K. (1999) Peristaltic trantport of a non-newtonian fluid with a peripheral layer. l~ternurional Journal ofengineering Science 37, MIITTRA, T. K., PRASAD, S. N. (1973) on the influence of wall properties and Poiseuille flow in the peristalsis. J. Biomechanic,~ 6, MTlTRA, T.K., PRASAD, S. N. (1974) Interaction of peristaltic motion with Poiseuille flow. Bull. Math. Biol.. 36,

7 MOHAMED HAROUN, H. (2007a) Effect of Deborah number and phase diffmmce on peristaltic transport of a third-order fluid in an asymmetric channel. Communications in Nonlinear Science and Numerical Simulation 12, MOHAMED HAROUN, H. (2007b) Non-linear peristaltic flow of a tburth grade fluid in an inclined asymmetric channel. Computational Materials Science MUTHU, l?., RATHISH KUMAR B.V., PEEYUSH CHANDRA. (2003) on the influence of wall properties in the peristaltic motion of micropalar fluid. ANZIAM J NADEEM, S., AKKAM, S. (2009) Peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel, Z NaturJbrsch.. A: Phys. Sci NADEEM, S., AKBAR. N.S. (2010) lntluenw of heat transf'er on peristaltic transport of a Johnson-Segalman fluid in an inclined asymmetric channel. Commun Nottiinear Sci Numer Simulur IS, NADEEM, S., AKBAR. N.S., BIB1 N., ASHIQ, S. (2010) Influence of hcat and mnss transfer on peristaltic tlow of a third order tluid in a diverging tubc. C'ommun Nonlinear Sci Nunter Simuluf 15, I. NADEEM. S., AKRAM, S. (2010) Heat transfer in u peristaltic tlow of' MHU fluid with partial slip. Commtm. Nonlinear Sci. Numer. Simul. IS, NADEEM, S., SAFlA AKRAM. (2010) Peristaltic flow of a Williamson tluid in an asymmetric channel, Commun Nonlinear Sci Numer Simulat IS, NADEEM, S.. AKRAM, S. (201 1) Magnetohydrodynamic peristaltic flow of a hyperbolic tangent fluid' in a vertical asymmetric channel with heat transfer, Acta Mech. Sin. 27(2), DO /s NADEEM, S., NOREEN SHER AKBAR (201 1) Influence of heat and mass tmfcr on the peristaltic flow of a Johnson Segalman fluid in a vertical asymmdric channel with induced MHD, Journal of!he Taiwan Inslilule of Chemical Engineers 42,5&66.

8 NADEEM, S., ASHIQ, S.. ALI, M. (2012) Williamson Fluid Model for the Paistaltic Flow of Chyme in Small Intestine. Mathematical Problem in Engineering, Article ID: , 1-18, MI: /2012/ NAGARANI, P., SAROJAMMA, G. (2004) Peristaltic trmsport of a Casson fluid in an asymmetric channel. Australasian Plij: & Eng. Sci, irr Medicine 27, NARAHARI, M., SREENADH, S. (2010) Peristaltic trnnsport of a Bingham fluid in contact with'a Newtonian fluid, Int. J. ofappl. Math and Mech. 6 (1 I), NASlR ALI, TASWAR HAYAT. (2007) Peristaltic motion of a Carrcau fluid in an asymmetric channel, Applied Mathematics and Compration 193, NAVIER, C. L. M. H. (1827) Sur les lois du mouvernent des fluids, Mem. Acad. R. Sci. Inst. Fr. 6, NOREEN SHER AKBAR, NADEEM, S. (201 1) Combined ettects of heat and chemical reactions on the pensteltic tlow of Carreau fluid mcdel in a diverging tube. Inr. J. Numcr. Mcrh. Fluids 67, I NOREEN SHER AKBAR, NADEEM, S.. HAYAT, T., AWA'TIF A. HENDI. (201 1) Peristaltic tlow of a nanofluitl with slip cft'ccts, Mer'catrica DO /sl OLDROYD, J. G. (1950) On the formulation of rheological equations of state. I'roc. Roy. Soc. London. Ser. A. 200, PANDEY, S.K., CHAUBE, M.K. (2010) Study of wall properties on peristaltic transport of a couple stress fluid, Meccanica DO1 10. I007/s POP, I., RJGHAM, D.B. (2001) Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media. Pergamon, Amsterdam, NewYork. PRASANNA HARIHARAN, SESHADRI, V., BANERJEE, RUPAK. K. (2008) Peristaltic transport of non-newtoniun fluid in a diverging tube with different wave fonns. Mathematical and Cornpurer Modelling 48,

9 RADHAKRISHNAMACHARYA, a. (1982) Long wave lengtll approximation to peristaltic motion of power law fluid. Rheol. Acta 21, RADHAKRISHNAMACHARYA, G., RADHAKRISHNA MURTHY. V. (1993) Heat transfer to peristaltic transport in a non-uniform channel. Llejnce Scic*ncr Journal. 43(3) RADHAKRISHNAMACHARYA, G., SRINIVASULU, C. H. (2007) Influence of wall properties on peristaltic transport with heat transfer. Mrcaniquc 335(7) RAJU, K.K., DEVANATHAN, R. (1972) Peristaltic motion of a non-newtonion fluid. part-i. Rheol. Acta RAMACHANDRA RAO, A,, USHA, S. (1995) Peristaltic transpart of two immiscible viscous fluid in a circular tube, J.Ic'l~rid Mech.. 298, RAMANA KUMARI. A.V., RADHAKRISHNAMACHARYA, G. (201 1) Effect of slip on peristaltic transport in an inclinod channel with wall effccts. brt. J, of Appl. Murh and Mech. 7 (1) RAND, P.W., LACOMBE. E.. HUNT, H.E., AUSTIN, W.H. (1964) Viscosity of normal blood under normothcnnic and hypothcnnic conditions. J. Appl. Pl~ysbl. 19, REDDY, R.H., KAVITHA, A., SREENADH, S., SARAVANA, R. (201 1) EtPi of induced magnetic field on peristaltic transport of a C m u fluid in an inclined channel fillrrl with porous material. Internu~ionul Journal of Materials Engineering 6(2), Mechanical and SAFFMAN, P.G., (1971). On the Boundary Conditions at the Surface of a Porous Medium. Stud. Appl. Math.. 1, SAFIA AKRAM, SOHAIL NADEEM (2012) Simulation of heat and mass transfer an peristaltic flow of hyperbolic tangent fluid in an asymmetric channel, Int. J. Numr. Meth. FtuiL Published online in Wiley Online Library (wileyanlinelibrery.com). DOI: /fld

10 SHAPIRO, A.H., JAFFRIN, MY., WEINBERG, S.L (1969) Peristaltic pumping with long wavelengths at low Reynolds number. J. Fluid Mech. 37, SHEHAWEY, ELSAYED. F. EL., MEKHEIMER, KH. S. (1994) Couple-stresses in peristaltic transport of fluids. Phys. D: Appl. Phy SHUKLA, J.B., PARIHAR R.S., RAO, B.R.P., GUPTA, S. P. (1980) Effccts of peripheral- layer viscosity on peristaltic transport of a bio-fluid, J.Fhrid Mech., SOBH. A.M. (2008) Interaction of couple stresqes and slip flow on peristaltic transport in uniform and non-uniform channels. Turkish J. Eng. Envihn. Sci. 32, SRMIVAS, S., GAYATHRI, R., KOTHANDAPANI. M. (201 1) Mixed convective heat and mass transfer in an asymmetric channel with peristalsis, C'ommun Nonlinear Sci Numer Simulat 16, SRINIVAS, S., KOTHANDAPANI. M. (2009) The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls. Appl. Math. Comptrr. 213, SRINIVAS, S.. PUSHPARAJ, V. (200R) Non-linear peristaltic transport in an inclined asymmetric channel, Cbmrnutr. Nonlinc.ar Sci. Numer: Simrrlat. 13, SRINIVAS. S., OAYATHRI, R.. KOTHANDAPANI, M. (2009) The influence of slip conditions, wall properties and heat transfw on MHD peristaltic transport. Comput Phys Cbmmun 180, SRIVASTAVA, L. M., SRIVASTAVA, V. P. (1988) Petistaltic Transport of a Power-Law Fluid: Application to the Ductus Efferentes of the Reproductive Tract. Rheol. Acla, 27, SRIVASTAVA, L. M., SRIVASTAVA, V. P., SINHA, S. N. (1983) Peristaltic Transport of a Phyiological Fluid: Part I. Flow in Non-Unifm Geometry. Biorheul. 20,

11 SRIVASTAVA, L.M.. SRIVASTAVA, V.P. (1984) Peristaltic transport of blood. Casson model-il. J. Biomechanics SRIVASTAVA. L.M., SRIVASTAVA, V.P., SINHA, S.N. (2003) Peristaltic transport of a physiological fluid Part-I: Flow in Non-unifom~ geometry. Biortcolog): 20, SUBBA REDDY, M.V., RAMACHANDRA RAO. A., SREENADH, S. (2007) Peristaltic motion of a power-law fluid in an aqymmetric channel. lnrenralional Journal ofnon-linear Mechanics 42, USHA, S., RAO, A.R. (2000) Efikcts of curvature and inertia on the peristaltic transport in a two-fluid system, Int. J. Eng. Sci. 38, USHA, S., RAMACHANDRA RAO, A. (1997) Peristaltic transport of two layered Power- law fluids, Trans. ASME, J. Biomcch. En:ngr?p. 119, VAJRAVELU, K., SREENADH, S., RAMESH BABU, V. (2005a) Peristaltic pumping of a tlrxschel-bulkley fluid in a channel. Appl. Math. arid C'ompirrarion, 169, VAJRAVELU, K., SREENADH, S., RAMESH BADU, V. (2005h) Peristaltic pumping of a Herschel-Bulkley fluid in an inclirlcd tube. /I;/. J. Non-lirtear Mech. 40, VAJRAVELU, K., SREENADH, S., RAMESH BABU, V. (2006) Peristaltic pumping of a Herschel-Bulkley fluid in wlntnct with a Newtonian fluid, Quurrerlv ofappl. Math.64(4), VAJRAVELU, K, SREENADH, S., HEMADRI REDDY, R., MURUGESHAN, K. (2009) Peristaltic Transport of a Casson fluid in contact with a Newtonian Pluid in e Circular Tube with permeable wall, Jnternarional Journal of Fluid Mechunics Research, 36(3), VAJRAVELU, K., SREENADH, S. LAKSHMINARAYANA, P. (2011) The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum. Commun Nonlinear Sci Numer Simular