Published 12 issues per year
ISSN Print: 1091-028X
ISSN Online: 1934-0508
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A Mathematical Model of Peristalsis in Tubes through a Porous Medium
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.
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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
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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
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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
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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
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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
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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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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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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
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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
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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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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
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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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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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Hayat T., Ali N., Effects of an endoscope on peristaltic flow of a micropolar fluid, Mathematical and Computer Modelling, 48, 5-6, 2008. Crossref
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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
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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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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
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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
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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
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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
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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