年間 12 号発行
ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508
Indexed in
Nonlinear Peristaltic Transport through a Porous Medium in an Inclined Planar Channel
要約
In order to determine the characteristics of the peristaltic transport of the gravity flow through a porous medium, the motion of an incompressible, viscous fluid in an inclined planar channel filled with a homogenous porous medium and having walls that are transversely displaced by an infinite, harmonic traveling wave of large wavelength was analyzed using a perturbation expansion in terms of a variant wave number. We obtain an explicit form for the velocity field and a relation between the pressure rise and flow rate in terms of Reynolds number, wave number, permeability parameter, inclined angle, and the occlusion. The effects of the various parameters entering into the problem are discussed numerically and with the help of graphs.
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Haroun Mohamed H., Effect of wall compliance on peristaltic transport of a Newtonian fluid in an asymmetric channel, Mathematical Problems in Engineering, 2006, 2006. Crossref
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Nadeem Sohail, Akram Safia, Peristaltic flow of a couple stress fluid under the effect of induced magnetic field in an asymmetric channel, Archive of Applied Mechanics, 81, 1, 2011. Crossref
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Mekheimer Kh.S., Husseny S.Z.A., Elmaboud Y. Abd, Effects of heat transfer and space porosity on peristaltic flow in a vertical asymmetric channel, Numerical Methods for Partial Differential Equations, 2009. Crossref
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Hayat Tasawar, Ali Nasir, Abbas Zaheer, Peristaltic flow of a micropolar fluid in a channel with different wave forms, Physics Letters A, 370, 3-4, 2007. Crossref
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Mekheimer Kh.S., Abd elmaboud Y., The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope, Physics Letters A, 372, 10, 2008. Crossref
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Hayat T., Noreen S., Asghar S., Hendi Awatifa, INFLUENCE OF AN INDUCED MAGNETIC FIELD ON PERISTALTIC TRANSPORT IN AN ASYMMETRIC CHANNEL, Chemical Engineering Communications, 198, 5, 2011. Crossref
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Hayat T., Javed Maryiam, Ali N., Peristaltic motion of an Oldroyd-B fluid in a channel with compliant walls, International Journal for Numerical Methods in Fluids, 67, 11, 2011. Crossref
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Mekheimer K. S., Abd elmaboud Y., Peristaltic transport of a particle–fluid suspension through a uniform and non-uniform annulus, Applied Bionics and Biomechanics, 5, 2, 2008. Crossref
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Hayat T., Alvi Nida, Ali N., Peristaltic mechanism of a Maxwell fluid in an asymmetric channel, Nonlinear Analysis: Real World Applications, 9, 4, 2008. Crossref
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Gharsseldien Z. M., Mekheimer Kh. S., Awad A. S., The influence of slippage on trapping and reflux limits with peristalsis through an asymmetric channel, Applied Bionics and Biomechanics, 7, 2, 2010. Crossref
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Kothandapani M., Srinivas S., Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium, Physics Letters A, 372, 8, 2008. Crossref
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Hayat T., Hussain Q., Qureshi M. Umar, Ali N., Hendi Awatif A., Influence of slip condition on the peristaltic transport in an asymmetric channel with heat transfer: An exact solution, International Journal for Numerical Methods in Fluids, 67, 12, 2011. Crossref
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Wang Yongqi, Ali Nasir, Hayat Tasawar, Oberlack Martin, Peristaltic motion of a magnetohydrodynamic micropolar fluid in a tube, Applied Mathematical Modelling, 35, 8, 2011. Crossref
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Kothandapani M., Srinivas S., On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium, Physics Letters A, 372, 25, 2008. Crossref
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Goldstein R.J., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Srinivasan V., Heat transfer—A review of 2003 literature, International Journal of Heat and Mass Transfer, 49, 3-4, 2006. Crossref
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Hayat Tasawar, Afsar Ambreen, Ali Nasir, Peristaltic transport of a Johnson–Segalman fluid in an asymmetric channel, Mathematical and Computer Modelling, 47, 3-4, 2008. Crossref
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TRIPATHI DHARMENDRA, PERISTALTIC FLOW OF COUPLE-STRESS CONDUCTING FLUIDS THROUGH A POROUS CHANNEL: APPLICATIONS TO BLOOD FLOW IN THE MICRO-CIRCULATORY SYSTEM, Journal of Biological Systems, 19, 03, 2011. Crossref
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Abd elmaboud Y., Mekheimer Kh.S., Non-linear peristaltic transport of a second-order fluid through a porous medium, Applied Mathematical Modelling, 35, 6, 2011. Crossref
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Tripathi Dharmendra, Peristaltic Hemodynamic Flow of Couple-Stress Fluids Through a Porous Medium with Slip Effect, Transport in Porous Media, 92, 3, 2012. Crossref
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Hayat T., Umar Qureshi M., Hussain Q., Effect of heat transfer on the peristaltic flow of an electrically conducting fluid in a porous space, Applied Mathematical Modelling, 33, 4, 2009. Crossref
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Ali Nasir, Hayat Tasawar, Peristaltic flow of a micropolar fluid in an asymmetric channel, Computers & Mathematics with Applications, 55, 4, 2008. Crossref
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Mekheimer Kh.S., Abd elmaboud Y., Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope, Physica A: Statistical Mechanics and its Applications, 387, 11, 2008. Crossref
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Wang Yongqi, Hayat Tasawar, Ali Nasir, Oberlack Martin, Magnetohydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel, Physica A: Statistical Mechanics and its Applications, 387, 2-3, 2008. Crossref
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Tripathi Dharmendra, Study of transient peristaltic heat flow through a finite porous channel, Mathematical and Computer Modelling, 57, 5-6, 2013. Crossref
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Hayat Tasawar, Ali Nasir, Effect of variable viscosity on the peristaltic transport of a Newtonian fluid in an asymmetric channel, Applied Mathematical Modelling, 32, 5, 2008. Crossref
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ELDESOKY ISLAM M., MOUSA A. A., PERISTALTIC FLOW OF A COMPRESSIBLE NON-NEWTONIAN MAXWELLIAN FLUID THROUGH POROUS MEDIUM IN A TUBE, International Journal of Biomathematics, 03, 02, 2010. Crossref
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TRIPATHI DHARMENDRA, BÉG O. ANWAR, MAGNETOHYDRODYNAMIC PERISTALTIC FLOW OF A COUPLE STRESS FLUID THROUGH COAXIAL CHANNELS CONTAINING A POROUS MEDIUM, Journal of Mechanics in Medicine and Biology, 12, 05, 2012. Crossref
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Hina S., Hayat T., Alsaedi A., Slip Effects on MHD Peristaltic Motion with Heat and Mass Transfer, Arabian Journal for Science and Engineering, 39, 2, 2014. Crossref
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Abd-Alla A. M., Abo-Dahab S. M., El-Shahrany H. D., Effects of rotation and magnetic field on the nonlinear peristaltic flow of a second-order fluid in an asymmetric channel through a porous medium, Chinese Physics B, 22, 7, 2013. Crossref
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Mekheimer Kh.S., Salem A.M., Zaher A.Z., Peristatcally induced MHD slip flow in a porous medium due to a surface acoustic wavy wall, Journal of the Egyptian Mathematical Society, 22, 1, 2014. Crossref
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Shaaban Abeer A., Abou-zeid Mohamed Y., Effects of Heat and Mass Transfer on MHD Peristaltic Flow of a Non-Newtonian Fluid through a Porous Medium between Two Coaxial Cylinders, Mathematical Problems in Engineering, 2013, 2013. Crossref
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Alsaedi A., Ali N., Tripathi D., Hayat T., Peristaltic flow of couple stress fluid through uniform porous medium, Applied Mathematics and Mechanics, 35, 4, 2014. Crossref
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Akbar Noreen Sher, Raza M., Ellahi R., Influence of heat generation and heat flux on peristaltic flow with interacting nanoparticles, The European Physical Journal Plus, 129, 8, 2014. Crossref
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Tripathi Dharmendra, Bég Osman Anwar, Gupta Praveen Kumar, Radhakrishnamacharya Ganjam, Mazumdar Jagannath, DTM Simulation of Peristaltic Viscoelastic Biofluid Flow in Asymmetric Porous Media: A Digestive Transport Model, Journal of Bionic Engineering, 12, 4, 2015. Crossref
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Ali N., Abbasi A., Ahmad I., Channel flow of Ellis fluid due to peristalsis, AIP Advances, 5, 9, 2015. Crossref
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Asghar S., Hussain Q., Hayat T., Alsaedi A., Peristaltic flow of a reactive viscous fluid through a porous saturated channel and convective cooling conditions, Journal of Applied Mechanics and Technical Physics, 56, 4, 2015. Crossref
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Swarnalathamma B. V., Krishna M. Veera, Peristaltic hemodynamic flow of couple stress fluid through a porous medium under the influence of magnetic field with slip effect, 1728, 2016. Crossref
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Muthuraj R., Nirmala K., Srinivas S., Influences of chemical reaction and wall properties on MHD Peristaltic transport of a Dusty fluid with Heat and Mass transfer, Alexandria Engineering Journal, 55, 1, 2016. Crossref
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Akram Safia, Mekheimer Kh.S., Elmaboud Y. Abd, Particulate suspension slip flow induced by peristaltic waves in a rectangular duct: Effect of lateral walls, Alexandria Engineering Journal, 57, 1, 2018. Crossref
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Eldabe Nabil T. M., Abo-Seida Osama M., Abo-Seliem Adel A. S., ElShekhipy A. A., Hegazy Nada, Peristaltic Transport of Magnetohydrodynamic Carreau Nanofluid with Heat and Mass Transfer inside Asymmetric Channel, American Journal of Computational Mathematics, 07, 01, 2017. Crossref
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shahzadi Iqra, Nadeem S., Impinging of metallic nanoparticles along with the slip effects through a porous medium with MHD, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39, 7, 2017. Crossref
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Yasmeen Shagufta, Okechi Nnamdi Fidelis, Anjum Hafiz Junaid, Asghar Saleem, Peristaltic motion of magnetohydrodynamic viscous fluid in a curved circular tube, Results in Physics, 7, 2017. Crossref
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Siddiqui A.M., Manzoor N., Maqbool K., Mann A.B., Shaheen S., Magnetohydrodynamic flow induced by ciliary movement: An application to lower respiratory track diseases, Journal of Magnetism and Magnetic Materials, 480, 2019. Crossref
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Asghar Zeeshan, Ali Nasir, Ahmed Raheel, Waqas Muhammad, Khan Waqar Azeem, A mathematical framework for peristaltic flow analysis of non-Newtonian Sisko fluid in an undulating porous curved channel with heat and mass transfer effects, Computer Methods and Programs in Biomedicine, 182, 2019. Crossref
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Zeeshan Ahmed, Ijaz Nouman, Bhatti Muhammad Mubashir, Flow analysis of particulate suspension on an asymmetric peristaltic motion in a curved configuration with heat and mass transfer, Mechanics & Industry, 19, 4, 2018. Crossref
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Prakash J., Tripathi Dharmendra, Triwari A. K., Sait Sadiq M., Ellahi Rahmat, Peristaltic Pumping of Nanofluids through a Tapered Channel in a Porous Environment: Applications in Blood Flow, Symmetry, 11, 7, 2019. Crossref
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Ullah Kaleem, Ali Nasir, Stability and bifurcation analysis of stagnation/equilibrium points for peristaltic transport in a curved channel, Physics of Fluids, 31, 7, 2019. Crossref
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Akram Safia, Afzal Farkhanda, Imran Muhammad, Influence of metachronal wave on hyperbolic tangent fluid model with inclined magnetic field, International Journal of Geometric Methods in Modern Physics, 16, 09, 2019. Crossref
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Abd elmaboud Y., Mekheimer Kh. S., Abdellateef A. I., Thermal Properties of Couple-Stress Fluid Flow in an Asymmetric Channel With Peristalsis, Journal of Heat Transfer, 135, 4, 2013. Crossref
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Ullah Kaleem, Ali Nasir, Bifurcation and stability analysis of stagnation points for an asymmetric peristaltic transport, Canadian Journal of Physics, 98, 2, 2020. Crossref
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Ali Nasir, Ullah Kaleem, Bifurcations of stagnation points in a micropolar fluent media under the influence of an asymmetric peristaltic movement, AIP Advances, 10, 1, 2020. Crossref
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Ali Nasir, Ullah Kaleem, Rasool Husnain, Bifurcation analysis for a two-dimensional peristaltic driven flow of power-law fluid in asymmetric channel, Physics of Fluids, 32, 7, 2020. Crossref
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Latha R., Rushi Kumar B., Influence of Electromagnetic Force on the Blood Flow in an Asymmetric Channel with Heat Dissipation, in Advances in Fluid Dynamics, 2021. Crossref
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Ahmed Raheel, Ali Nasir, Khan Sami Ullah, Chamkha Ali, Tlili Iskander, Heat and mass transfer characteristics in flow of bi-viscosity fluid through a curved channel with contracting and expanding walls: A finite difference approach, Advances in Mechanical Engineering, 12, 10, 2020. Crossref
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Gangavathi P., Jyothi S., Subba Reddy M.V., Yogeswara Reddy P., Slip and hall effects on the peristaltic flow of a jeffrey fluid through a porous medium in an inclined channel, Materials Today: Proceedings, 2021. Crossref
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Zeeshan A., Masud U., Saeed T., Hobiny A., On the effects of chemical reaction on controlled heat and mass transfer in magnetized non-Newtonian biofluid through a long rectangular tunnel, Journal of Thermal Analysis and Calorimetry, 143, 3, 2021. Crossref
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Mekheimer Kh. S., Abdel-Wahab A. N., Net Annulus Flow of a Compressible Viscous Liquid with Peristalsis, Journal of Aerospace Engineering, 25, 4, 2012. Crossref
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Eldabe Nabil T. M., Hassan Mohamed A., Abou-Zeid Mohamed Y., Wall Properties Effect on the Peristaltic Motion of a Coupled Stress Fluid with Heat and Mass Transfer through a Porous Medium, Journal of Engineering Mechanics, 142, 3, 2016. Crossref
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Ullah Kaleem, Ali Nasir, A study on the bifurcation of stagnation points for a peristaltic transport of micropolar fluids with slip condition, Physica Scripta, 96, 2, 2021. Crossref
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Dhange M.Y., Sankad G.C., Simultaneous Chemical Reactions Effect on Dispersion of a Solute in Peristaltic Propulsion of a Newtonian Fluid in an Inclined Channel with Wall Properties, International Journal of Applied Mechanics and Engineering, 24, 3, 2019. Crossref
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Rushi Kesava A., Srinivas A. N. S., Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel, Nonlinear Engineering, 11, 1, 2022. Crossref