Peristaltic slip flow of a Bingham fluid in an inclined porous conduit with Joule heating

[1]T. W. Latham, (1966), Fluid motions in a peristaltic pump, Doctoral dissertation, Massachusetts Institute of Technology.LathamT.W.1966Fluid motions in a peristaltic pumpDoctoral dissertationMassachusetts Institute of TechnologySearch in Google Scholar

[2]A. H. Shapiro, M. Y. Jaffrin and S. L. Weinberg, (1969), Peristaltic pumping with long wavelengths at low Reynolds number, Journal of Fluid Mechanics 37, No 4, 799-825. 10.1017/S0022112069000899ShapiroA.H.JaffrinM. Y.WeinbergS.L.1969Peristaltic pumping with long wavelengths at low Reynolds numberJournal of Fluid Mechanics37479982510.1017/S0022112069000899Open DOISearch in Google Scholar

[3]E. F. El Shehawey and K. S. Mekheimer, (1994), Couple-stresses in peristaltic transport of fluids, Journal of Physics D: Applied Physics 27, No 6, 1163-1170. 10.1088/0022-3727/27/6/014ShehaweyE. F. ElMekheimerK.S.1994Couple-stresses in peristaltic transport of fluidsJournal of Physics D: Applied Physics2761163117010.1088/0022-3727/27/6/014Open DOISearch in Google Scholar

[4]S. Usha and A. Ramachandra Rao, (1997), Peristaltic Transport of Two-Layered Power-Law Fluids, Journal of Biomechanical Engineering 119, No 4, 483-488. 10.1115/1.27982979407289UshaS.Ramachandra RaoA.1997Peristaltic Transport of Two-Layered Power-Law FluidsJournal of Biomechanical Engineering119448348810.1115/1.2798297Open DOISearch in Google Scholar

[5]J.C. Misra and S.K. Pandey, (1999), Peristaltic transport of a non-Newtonian fluid with a peripheral layer, International Journal of Engineering Science 37, No 14, 1841-1858. 10.1016/S0020-7225(99)00005-1MisraJ.C.PandeyS.K.1999Peristaltic transport of a non-Newtonian fluid with a peripheral layerInternational Journal of Engineering Science37141841185810.1016/S0020-7225(99)00005-1Open DOISearch in Google Scholar

[6]S. Nadeem and Noreen Sher Akbar, (2009), Influence of heat transfer on a peristaltic transport of Herschel-Bulkley fluid in a non-uniform inclined tube, Communications in Nonlinear Science and Numerical Simulation 14, No 12, 4100-4113. 10.1016/j.cnsns.2009.02.032NadeemS.NoreenSher Akbar2009Influence of heat transfer on a peristaltic transport of Herschel-Bulkley fluid in a non-uniform inclined tubeCommunications in Nonlinear Science and Numerical Simulation14124100411310.1016/j.cnsns.2009.02.032Open DOISearch in Google Scholar

[7]K. Vajravelu, S. Sreenadh and P. Lakshminarayana, (2011), The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum, Communications in Nonlinear Science and Numerical Simulation 16, No 8, 3107-3125. 10.1016/j.cnsns.2010.11.001VajraveluK.SreenadhS.LakshminarayanaP.2011The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratumCommunications in Nonlinear Science and Numerical Simulation1683107312510.1016/j.cnsns.2010.11.001Open DOISearch in Google Scholar

[8]D. Tripathi, (2012), A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer, International Journal of Thermal Sciences 51, 91-101. 10.1016/j.ijthermalsci.2011.07.014TripathiD.2012A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transferInternational Journal of Thermal Sciences519110110.1016/j.ijthermalsci.2011.07.014Open DOISearch in Google Scholar

[9]K. Vajravelu, S. Sreenadh, S. Dhananjaya and P. Lakshminarayana, (2016), Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine, International Journal of Applied Mechanics and Engineering 21, No 3, 713-736. 10.1515/ijame-2016-0042VajraveluK.SreenadhS.DhananjayaS.LakshminarayanaP.2016Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small IntestineInternational Journal of Applied Mechanics and Engineering21371373610.1515/ijame-2016-0042Open DOISearch in Google Scholar

[10]S. Akram, S. Nadeem and M. Hanif, (2013), Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field, Journal of Magnetism and Magnetic Materials 346, 142-151. 10.1016/j.jmmm.2013.07.014AkramS.NadeemS.HanifM.2013Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic fieldJournal of Magnetism and Magnetic Materials34614215110.1016/j.jmmm.2013.07.014Open DOISearch in Google Scholar

[11]S. Nadeem, Arshad Riaz and R. Ellahi, (2013), Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls, Chemical Industry and Chemical Engineering Quarterly 19, 399-409. 10.2298/CICEQ120402075NNadeemS.ArshadRiazEllahiR.2013Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant wallsChemical Industry and Chemical Engineering Quarterly 1939940910.2298/CICEQ120402075NOpen DOISearch in Google Scholar

[12]I. Shahzadi, S. Nadeem and F. Rabiei, (2017), Simultaneous effects of single wall carbon nanotube and effective variable viscosity for peristaltic flow through annulus having permeable walls, Results in Physics 7, 667-676. 10.1016/j.rinp.2016.12.024ShahzadiI.NadeemS.RabieiF.2017Simultaneous effects of single wall carbon nanotube and effective variable viscosity for peristaltic flow through annulus having permeable wallsResults in Physics766767610.1016/j.rinp.2016.12.024Open DOISearch in Google Scholar

[13]I. Shahzadi, H. Sadaf, S. Nadeem and A. Saleem, (2017), Bio-mathematical analysis for the peristaltic flow of single wall carbon nanotubes under the impact of variable viscosity and wall properties, Computer Methods and Programs in Biomedicine 139, 137-147. 10.1016/j.cmpb.2016.10.01628187884ShahzadiI.SadafH.NadeemS.SaleemA.2017Bio-mathematical analysis for the peristaltic flow of single wall carbon nanotubes under the impact of variable viscosity and wall propertiesComputer Methods and Programs in Biomedicine13913714710.1016/j.cmpb.2016.10.016Open DOISearch in Google Scholar

[14]I. Shahzadi and S. Nadeem, (2017), Role of Inclined Magnetic Field and Copper Nanoparticles on Peristaltic Flow of Nanofluid through Inclined Annulus: Application of the Clot Model, Communications in Theoretical Physics 67, No 6, 704-716. 10.1088/0253-6102/67/6/704ShahzadiI.NadeemS.2017Role of Inclined Magnetic Field and Copper Nanoparticles on Peristaltic Flow of Nanofluid through Inclined Annulus: Application of the Clot ModelCommunications in Theoretical Physics67670471610.1088/0253-6102/67/6/704Open DOISearch in Google Scholar

[15]S. Akram and S. Nadeem, (2017), Influence of Nanoparticles Phenomena on the Peristaltic Flow of Pseudoplastic Fluid in an Inclined Asymmetric Channel with Different Wave Forms, Iranian Journal of Chemistry and Chemical Engineering 36, No 2, 107-124.AkramS.NadeemS.2017Influence of Nanoparticles Phenomena on the Peristaltic Flow of Pseudoplastic Fluid in an Inclined Asymmetric Channel with Different Wave FormsIranian Journal of Chemistry and Chemical Engineering362107124Search in Google Scholar

[16]H. Sadaf and S. Nadeem, (2017), Analysis of Combined Convective and Viscous Dissipation Effects for Peristaltic Flow of Rabinowitsch Fluid Model, Journal of Bionic Engineering 14, No 1, 182-190. 10.1016/S1672-6529(16)60389-XSadafH.NadeemS.2017Analysis of Combined Convective and Viscous Dissipation Effects for Peristaltic Flow of Rabinowitsch Fluid ModelJournal of Bionic Engineering14118219010.1016/S1672-6529(16)60389-XOpen DOISearch in Google Scholar

[17]G. Sucharitha, S. Sreenadh, P. Lakshminarayana and K. Sushma, (2017), Brownian motion and thermophoresis effects on Peristaltic slip flow of a MHD nanofluid in a symmetric/asymmetric channel, IOP Conference Series: Materials Science and Engineering 263 062025. 10.1088/1757-899X/263/6/062025SucharithaG.SreenadhS.LakshminarayanaP.SushmaK.2017Brownian motion and thermophoresis effects on Peristaltic slip flow of a MHD nanofluid in a symmetric/asymmetric channelIOP Conference Series: Materials Science and Engineering26306202510.1088/1757-899X/263/6/062025Open DOISearch in Google Scholar

[18]G. Sucharitha, P. Lakshminarayana and N. Sandeep, (2017), Dual solutions of cross diffusion effects on MHD Peristaltic flow in a conduit, IOP Conference Series: Materials Science and Engineering 263 062024. 10.1088/1757-899X/263/6/062024SucharithaG.LakshminarayanaP.SandeepN.2017Dual solutions of cross diffusion effects on MHD Peristaltic flow in a conduitIOP Conference Series: Materials Science and Engineering26306202410.1088/1757-899X/263/6/062024Open DOISearch in Google Scholar

[19] Y.S. Wu, K. Pruess, P.A. Witherspoon, (1990), Flow and Displacement of Bingham Non-Newtonian Fluids in Porous Media, Lawrence Berkeley National Laboratory. LBNL Report #: LBL-28340. Retrieved from https://escholarship.org/uc/item/7q14212wWuY.S.PruessK.WitherspoonP.A.1990Flow and Displacement of Bingham Non-Newtonian Fluids in Porous MediaLawrence Berkeley National LaboratoryLBNL Report #: LBL-28340. Retrieved fromhttps://escholarship.org/uc/item/7q14212w10.2118/20051-PASearch in Google Scholar

[20]V. P. Rathod and D. Laxmi, (2014), Effects of heat transfer on the peristaltic MHD flow of a Bingham fluid through a porous medium in a channel, International Journal of Biomathematics 7, No 6, 1450060 (20 pages). 10.1142/S1793524514500600RathodV. P.LaxmiD.2014Effects of heat transfer on the peristaltic MHD flow of a Bingham fluid through a porous medium in a channelInternational Journal of Biomathematics7614500602010.1142/S1793524514500600Open DOISearch in Google Scholar

[21]J. C. Misra, S. Maiti and G. C. Shit, (2008), Peristaltic transport of a physiological fluid in an asymmetric porous channel in the presence of an external magnetic field, Journal of Mechanics in Medicine and Biology 8, No 4, 507-525. 10.1142/S0219519408002784MisraJ.C.MaitiS.ShitG.C.2008Peristaltic transport of a physiological fluid in an asymmetric porous channel in the presence of an external magnetic fieldJournal of Mechanics in Medicine and Biology8450752510.1142/S0219519408002784Open DOISearch in Google Scholar

[22]S. K. Pandey and M. K. Chaube, (2011), Effect of magnetic field on peristaltic transport of couple stress fluids through a porous medium, Journal of Biological Systems 19, No 2, 251-262. 10.1142/S0218339011003890PandeyS. K.ChaubeM.K.2011Effect of magnetic field on peristaltic transport of couple stress fluids through a porous mediumJournal of Biological Systems19225126210.1142/S0218339011003890Open DOISearch in Google Scholar

[23]O. Anwar Bég, M. M. Rashidi, T. A. Bég and M. Asadi, (2012), Homotopy analysis of transient mgneto-bio-fluid dynamics of micropolar squeeze film in a porous medium: A model for mgneto-bio-rheological lubrication, Journal of Mechanics in Medicine and Biology 12, No 3, 1250051 (21 pages). 10.1142/S0219519411004642AnwarBég O.RashidiM.M.BégT. A.AsadiM.2012Homotopy analysis of transient mgneto-bio-fluid dynamics of micropolar squeeze film in a porous medium: A model for mgneto-bio-rheological lubricationJournal of Mechanics in Medicine and Biology12312500512110.1142/S0219519411004642Open DOISearch in Google Scholar

[24]R. Ellahi, M. M. Bhatti, A. Riaz and M. Sheikholeslami, (2014), Effects of magnetohydrodynamics on peristaltic flow of Jeffrey fluid in a rectangular duct through a porous medium, Journal of Porous Media 17, No 2, 143-157. 10.1615/JPorMedia.v17.i2.50EllahiR.BhattiM.M.RiazA.SheikholeslamiM.2014Effects of magnetohydrodynamics on peristaltic flow of Jeffrey fluid in a rectangular duct through a porous mediumJournal of Porous Media17214315710.1615/JPorMedia.v17.i2.50Open DOISearch in Google Scholar

[25]K. Chakradhar, K. Nandagopal, S. Sreenadh, P. Lakshminarayana and G. Sucharitha, (2015), Peristaltic pumping of a micropolar fluid in a tube with permeable wall, International Journal of Mathematical Archive 6, No 3, 173-183.ChakradharK.NandagopalK.SreenadhS.LakshminarayanaP.SucharithaG.2015Peristaltic pumping of a micropolar fluid in a tube with permeable wallInternational Journal of Mathematical Archive63173183Search in Google Scholar

[26]K. Vajravelu, S. Sreenadh, P. Lakshminarayana and G. Sucharitha, (2016), The effect of heat transfer on the nonlinear peristaltic transport of a Jeffrey fluid through a finite vertical porous channel, International Journal of Biomathematics 9, No 2, 1650023 (2016) (24 pages). 10.1142/S1793524516500236VajraveluK.SreenadhS.LakshminarayanaP.SucharithaG.2016The effect of heat transfer on the nonlinear peristaltic transport of a Jeffrey fluid through a finite vertical porous channelInternational Journal of Biomathematics92165002320162410.1142/S1793524516500236Open DOISearch in Google Scholar

[27]S. Srinivas, R. Gayathri and M. Kothandapani, (2009), The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport, Computer Physics Communications 180, No 11, 2115-2122. 10.1016/j.cpc.2009.06.015SrinivasS.GayathriR.KothandapaniM.2009The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transportComputer Physics Communications180112115212210.1016/j.cpc.2009.06.015Open DOISearch in Google Scholar

[28]P. Lakshminarayana, S. Sreenadh and G. Sucharitha, (2015), The Influence of Slip, Wall Properties on the Peristaltic Transport of a Conducting Bingham Fluid with Heat Transfer, Procedia Engineering 127, 1087-1094. 10.1016/j.proeng.2015.11.469LakshminarayanaP.SreenadhS.SucharithaG.2015The Influence of Slip, Wall Properties on the Peristaltic Transport of a Conducting Bingham Fluid with Heat TransferProcedia Engineering1271087109410.1016/j.proeng.2015.11.469Open DOISearch in Google Scholar

[29]K. V. V. Satyanarayana, S. Sreenadh, G. Sucharitha and P. Lakshminarayana, (2016), The Effect of Wall Properties on the Convective Peristaltic Transport of a Conducting Bingham Fluid through Porous Medium, Indian Journal of Science & Technology 9, No 42, 1-9. 10.17485/ijst/2016/v9i42/86734SatyanarayanaK.V.V.SreenadhS.SucharithaG.LakshminarayanaP.2016The Effect of Wall Properties on the Convective Peristaltic Transport of a Conducting Bingham Fluid through Porous MediumIndian Journal of Science & Technology9421910.17485/ijst/2016/v9i42/86734Open DOISearch in Google Scholar

[30]S. Srinivas and M. Kothandapani, (2009), The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls, Applied Mathematics and Computation 213, No 1, 197-208. 10.1016/j.amc.2009.02.054SrinivasS.KothandapaniM.2009The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant wallsApplied Mathematics and Computation213119720810.1016/j.amc.2009.02.054Open DOISearch in Google Scholar

[31]T. Hayat, Z. Nisar, H. Yasmin and A. Alsaedi, (2016), Peristaltic transport of nanofluid in a compliant wall channel with convective conditions and thermal radiation, Journal of Molecular Liquids 220, 448-453. 10.1016/j.molliq.2016.04.080HayatT.NisarZ.YasminH.AlsaediA.2016Peristaltic transport of nanofluid in a compliant wall channel with convective conditions and thermal radiationJournal of Molecular Liquids22044845310.1016/j.molliq.2016.04.080Open DOISearch in Google Scholar

[32]A. Riaz, S. Nadeem, R. Ellahi and N. S. Akbarc, (2014), The influence of wall flexibility on unsteady peristaltic flow of Prandtl fluid in a three dimensional rectangular duct, Applied Mathematics and Computation 241, 389-400. 10.1016/j.amc.2014.04.046RiazA.NadeemS.EllahiR.AkbarcN.S.2014The influence of wall flexibility on unsteady peristaltic flow of Prandtl fluid in a three dimensional rectangular ductApplied Mathematics and Computation24138940010.1016/j.amc.2014.04.046Open DOISearch in Google Scholar

[33]G. Sucharitha, K. Vajravelu, S. Sreenadh and P. Lakshminarayana, (2017), Peristaltic flow and heat transfer of a Herschel-Bulkley fluid in an inclined non-uniform channel with wall properties, IOP Conference Series: Materials Science and Engineering 263 062026. 10.1088/1757-899X/263/6/062026SucharithaG.VajraveluK.SreenadhS.LakshminarayanaP.2017Peristaltic flow and heat transfer of a Herschel-Bulkley fluid in an inclined non-uniform channel with wall propertiesIOP Conference Series: Materials Science and Engineering26306202610.1088/1757-899X/263/6/062026Open DOISearch in Google Scholar

[34]G. Sucharitha, P. Lakshminarayana and N. Sandeep, (2017), Joule heating and wall flexibility effects on the peristaltic flow of magnetohydrodynamic nanofluid, International Journal of Mechanical Sciences 131-132, 52-62. 10.1016/j.ijmecsci.2017.06.043SucharithaG.LakshminarayanaP.SandeepN.2017Joule heating and wall flexibility effects on the peristaltic flow of magnetohydrodynamic nanofluidInternational Journal of Mechanical Sciences131132526210.1016/j.ijmecsci.2017.06.043Open DOISearch in Google Scholar

[35]T. Hayat, F.M. Abbasi, M. Al-Yami and S. Monaquel, (2014), Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects, Journal of Molecular Liquids 194, 93-99. 10.1016/j.molliq.2014.01.021HayatT.AbbasiF.M.Al-YamiM.MonaquelS.2014Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effectsJournal of Molecular Liquids194939910.1016/j.molliq.2014.01.021Open DOISearch in Google Scholar