Library Subscription: Guest

A Mathematical Model of Peristalsis in Tubes through a Porous Medium

Volume 9, Issue 1, 2006, pp. 55-67
DOI: 10.1615/JPorMedia.v9.i1.40
Get accessGet access

ABSTRACT

The problem of peristaltic motion in a tube through a porous medium has been investigated. The mathematical model considers a Jeffrey incompressible fluid. The wavelength of the traveling wave is assumed to be large. Analytical expressions for the stream function, axial velocity, and pressure gradient have been obtained. Numerical computations are performed for pressure drop and frictional force per wavelength. The effect of various parameters on the flow is discussed with the help of graphs.

CITED BY
  1. Ali N., Wang Y., Hayat T., Oberlack M., Slip Effects on the Peristaltic Flow of a Third Grade Fluid in a Circular Cylindrical Tube, Journal of Applied Mechanics, 76, 1, 2009. Crossref

  2. Hayat T., Javed Maryiam, Ali N., MHD Peristaltic Transport of a Jeffery Fluid in a Channel With Compliant Walls and Porous Space, Transport in Porous Media, 74, 3, 2008. Crossref

  3. Hayat T., Javed M., Exact solution to peristaltic transport of power-law fluid in asymmetric channel with compliant walls, Applied Mathematics and Mechanics, 31, 10, 2010. Crossref

  4. Srinivas S., Muthuraj R., MHD FLOW WITH SLIP EFFECTS AND TEMPERATURE-DEPENDENT HEAT SOURCE IN A VERTICAL WAVY POROUS SPACE, Chemical Engineering Communications, 197, 11, 2010. Crossref

  5. Ali Nasir, Hayat Tasawar, Asghar Saleem, Peristaltic flow of a Maxwell fluid in a channel with compliant walls, Chaos, Solitons & Fractals, 39, 1, 2009. Crossref

  6. 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

  7. 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

  8. Hayat T., Saleem Najma, Abd elmaboud Y., Asghar S., Peristaltic flow of a second-order fluid in the presence of an induced magnetic field, International Journal for Numerical Methods in Fluids, 67, 5, 2011. Crossref

  9. Ali N., Hussain Q., Hayat T., Asghar S., Slip effects on the peristaltic transport of MHD fluid with variable viscosity, Physics Letters A, 372, 9, 2008. Crossref

  10. 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

  11. Mekheimer K. S., Saleem N., Hayat T., Hendi A. A., Simultaneous effects of induced magnetic field and heat and mass transfer on the peristaltic motion of second-order fluid in a channel, International Journal for Numerical Methods in Fluids, 70, 3, 2012. Crossref

  12. 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

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

  14. Hayat T., Ali N., Effects of an endoscope on peristaltic flow of a micropolar fluid, Mathematical and Computer Modelling, 48, 5-6, 2008. Crossref

  15. Hayat T., Hussain Q., Ali N., Influence of partial slip on the peristaltic flow in a porous medium, Physica A: Statistical Mechanics and its Applications, 387, 14, 2008. Crossref

  16. 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

  17. Gnaneswara Reddy M., Velocity and thermal slip effects on MHD third order blood flow in an irregular channel though a porous medium with homogeneous/ heterogeneous reactions, Nonlinear Engineering, 6, 3, 2017. Crossref

  18. Saravana R., Vajravelu K., Sreenadh S., Influence of Compliant Walls and Heat Transfer on the Peristaltic Transport of a Rabinowitsch Fluid in an Inclined Channel, Zeitschrift für Naturforschung A, 73, 9, 2018. Crossref

  19. Prasad K V, Vaidya Hanumesh, Rajashekhar C, Khan Sami Ullah, Manjunatha G, Viharika J U, Slip flow of MHD Casson fluid in an inclined channel with variable transport properties, Communications in Theoretical Physics, 72, 9, 2020. Crossref

  20. Ishtiaq Fehid, Ellahi Rahmat, Bhatti Muhammad Mubashir, Alamri Sultan Z., Insight in Thermally Radiative Cilia-Driven Flow of Electrically Conducting Non-Newtonian Jeffrey Fluid under the Influence of Induced Magnetic Field, Mathematics, 10, 12, 2022. Crossref

  21. Tiwari A. K., Singh A. K., Effect of Temperature Dependent Sink on Peristaltic Transport in a Differentially Heated Vertical Annulus Filled with a Porous Material, Journal of Computational and Theoretical Transport, 51, 6, 2022. Crossref

Forthcoming Articles

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela 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
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain