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Year 2016, Volume: 5 Issue: 10, 1 - 9, 02.01.2016

Abstract

References

  • T.W. Latham, Fluid motion in peristaltic pumping, M.S.Thesis, MIT, Cambridge, (1966).
  • A.H. Shapiro, Pumping and retrograde diffusion in peristaltic waves, Proc. Workshop in uretral reflux in children, Nat. Acad. Sci., Washington, D.C., (1967) 109-126.
  • G.W.Scott Blair, D.C. Spanner, An Introduction to Biorheology, Elsevier Science Publishing Company, Amsterdam, Oxford and New York (1974).
  • H.T. Tang, Y.C. Fung, Fluid movement in a channel with permeable walls covered by porous media; A model of lung alveolar sheet, J.Appl.Mech., Volume 97 (1975) 45-50.
  • J.N. Kapur, Mathematical Models in Biology and Medicine, Affiliated East–west press Pvt.Lts, New York, (1985).
  • E.F.El. Shehawey, Kh.S. Mekheimer, S.F. Kalidas and N.A.S. Afifi, Peristaltic transport through a porous medium, J.Biomath., Volume 14 (1999).
  • A. M. Sobh, Interaction of couple stresses and Slip flow on peristaltic transport in uniform and non uniform channels, Turkish J. Eng. Sci. Volume 32 (2008) 117-123.
  • S. Sreenadh, S. Rajendra, S.V.H.N. Krishna Kumari and Y.V.K. Ravi Kumar, Flow of Herschel Bulkley Fluid in an Inclined Flexible Channel lined with Porous Material Under Peristalsis, International Journal of Innovative Technology and Creative Engineering ; Volume 1 (2011) 24-31.
  • M. Kothandapan, J. Prakash, Influece of heat source, thermal radiation and inclined magnetic field on peristaltic flow of a Hyperbolic tangent nanofluid in a tapered asymmetric channel,IEEE transactions on Nano Bioscience; Volume 14(4) (2014) 385-392.
  • M. Ahmed, Abdulhadi, Effect of wall properties and heat transfer on the peristaltic transport of a Jeffery fluid through porous medium channel, Mathematical and Theory and Modeling, volume 4 (2014) 86-99.
  • Nallapu Santhosh and G. Radhakrishnamacharya, Herschel-Bulkley fluid flow through narrow tubes. Research Article physics.flu-dyn, 30 Cent. Eur. J. Phys. (2014) 1-12.
  • Akram Safia and S. Nadeem, Significance of nanofluid and partial slip on the peristaltic transport of a non-newtonian fluid with different wave forms, IEEE transactions on nano technology, volume 13 (2014) 375-385.

Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel

Year 2016, Volume: 5 Issue: 10, 1 - 9, 02.01.2016

Abstract

The peristaltic flow of a non-Newtonian fluid in a flexible channel, with permeable walls, under the assumptions of long wavelength and low Reynolds number is studied. The pressure rise and frictional force are discussed for various parameters of interest like yield stress, Darcy number etc. through graphs. It is observed that with increase in porosity, there is pressure drop in the pumping region while there is a pressure rise in the co-pumping region. The behavior of the volume flow rate 𝑄̅
is similar for both the pressure difference and frictional force, for
the variation of all the parameters.

References

  • T.W. Latham, Fluid motion in peristaltic pumping, M.S.Thesis, MIT, Cambridge, (1966).
  • A.H. Shapiro, Pumping and retrograde diffusion in peristaltic waves, Proc. Workshop in uretral reflux in children, Nat. Acad. Sci., Washington, D.C., (1967) 109-126.
  • G.W.Scott Blair, D.C. Spanner, An Introduction to Biorheology, Elsevier Science Publishing Company, Amsterdam, Oxford and New York (1974).
  • H.T. Tang, Y.C. Fung, Fluid movement in a channel with permeable walls covered by porous media; A model of lung alveolar sheet, J.Appl.Mech., Volume 97 (1975) 45-50.
  • J.N. Kapur, Mathematical Models in Biology and Medicine, Affiliated East–west press Pvt.Lts, New York, (1985).
  • E.F.El. Shehawey, Kh.S. Mekheimer, S.F. Kalidas and N.A.S. Afifi, Peristaltic transport through a porous medium, J.Biomath., Volume 14 (1999).
  • A. M. Sobh, Interaction of couple stresses and Slip flow on peristaltic transport in uniform and non uniform channels, Turkish J. Eng. Sci. Volume 32 (2008) 117-123.
  • S. Sreenadh, S. Rajendra, S.V.H.N. Krishna Kumari and Y.V.K. Ravi Kumar, Flow of Herschel Bulkley Fluid in an Inclined Flexible Channel lined with Porous Material Under Peristalsis, International Journal of Innovative Technology and Creative Engineering ; Volume 1 (2011) 24-31.
  • M. Kothandapan, J. Prakash, Influece of heat source, thermal radiation and inclined magnetic field on peristaltic flow of a Hyperbolic tangent nanofluid in a tapered asymmetric channel,IEEE transactions on Nano Bioscience; Volume 14(4) (2014) 385-392.
  • M. Ahmed, Abdulhadi, Effect of wall properties and heat transfer on the peristaltic transport of a Jeffery fluid through porous medium channel, Mathematical and Theory and Modeling, volume 4 (2014) 86-99.
  • Nallapu Santhosh and G. Radhakrishnamacharya, Herschel-Bulkley fluid flow through narrow tubes. Research Article physics.flu-dyn, 30 Cent. Eur. J. Phys. (2014) 1-12.
  • Akram Safia and S. Nadeem, Significance of nanofluid and partial slip on the peristaltic transport of a non-newtonian fluid with different wave forms, IEEE transactions on nano technology, volume 13 (2014) 375-385.
There are 12 citations in total.

Details

Journal Section Articles
Authors

Gc Sankad This is me

Asha Patil This is me

Publication Date January 2, 2016
Published in Issue Year 2016 Volume: 5 Issue: 10

Cite

APA Sankad, G., & Patil, A. (2016). Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel. Journal of New Results in Science, 5(10), 1-9.
AMA Sankad G, Patil A. Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel. JNRS. February 2016;5(10):1-9.
Chicago Sankad, Gc, and Asha Patil. “Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel”. Journal of New Results in Science 5, no. 10 (February 2016): 1-9.
EndNote Sankad G, Patil A (February 1, 2016) Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel. Journal of New Results in Science 5 10 1–9.
IEEE G. Sankad and A. Patil, “Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel”, JNRS, vol. 5, no. 10, pp. 1–9, 2016.
ISNAD Sankad, Gc - Patil, Asha. “Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel”. Journal of New Results in Science 5/10 (February 2016), 1-9.
JAMA Sankad G, Patil A. Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel. JNRS. 2016;5:1–9.
MLA Sankad, Gc and Asha Patil. “Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel”. Journal of New Results in Science, vol. 5, no. 10, 2016, pp. 1-9.
Vancouver Sankad G, Patil A. Effect of Porosity on the Peristaltic Pumping of a NonNewtonian Fluid in a Channel. JNRS. 2016;5(10):1-9.


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