Abonnement à la biblothèque: Guest

Nonlinear Peristaltic Transport through a Porous Medium in an Inclined Planar Channel

Volume 6, Numéro 3, 2003, 13 pages
DOI: 10.1615/JPorMedia.v6.i3.40
Get accessGet access

RÉSUMÉ

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.

CITÉ PAR
  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. Tripathi Dharmendra, Peristaltic Hemodynamic Flow of Couple-Stress Fluids Through a Porous Medium with Slip Effect, Transport in Porous Media, 92, 3, 2012. Crossref

  20. 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

  21. Ali Nasir, Hayat Tasawar, Peristaltic flow of a micropolar fluid in an asymmetric channel, Computers & Mathematics with Applications, 55, 4, 2008. Crossref

  22. 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

  23. 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

  24. Tripathi Dharmendra, Study of transient peristaltic heat flow through a finite porous channel, Mathematical and Computer Modelling, 57, 5-6, 2013. Crossref

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. 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

  35. Ali N., Abbasi A., Ahmad I., Channel flow of Ellis fluid due to peristalsis, AIP Advances, 5, 9, 2015. Crossref

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. 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

  50. Ullah Kaleem, Ali Nasir, Bifurcation and stability analysis of stagnation points for an asymmetric peristaltic transport, Canadian Journal of Physics, 98, 2, 2020. Crossref

  51. 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

  52. 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

  53. 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

  54. 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

  55. 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

  56. 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

  57. 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

  58. 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

  59. 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

  60. 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

  61. 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

Prochains articles

ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections Prix et politiques d'abonnement Begell House Contactez-nous Language English 中文 Русский Português German French Spain