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International Journal of Fluid Mechanics Research
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ISSN Print: 2152-5102

ISSN Online: 2152-5110

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Peristaltic Transport of a Casson Fluid in Contact with a Newtonian Fluid in a Circular Tube with Permeable Wall

Volume 36, Issue 3, 2009, pp. 244-254
DOI: 10.1615/InterJFluidMechRes.v36.i3.40
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Kuppalapalle Vajravelu
Department of Mathematics, University of Central Florida, Orlando, Florida 32816-1364, USA
S. Sreenadh
Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India-517502
R. Hemadri Reddy
Department of Mathematics, Sri Venkateswara University Tirupati 517502, India
K. Murugesan
Department of Mathematics, National Institute of Technology Tiruchirapalli 620015, India

ABSTRACT

We investigate the flow of a Casson fluid in contact with a Newtonian fluid in a circular pipe with permeable wall. The motion is caused by the movement of peristaltic waves on the flexible walls of the channel. The equation of the interface is obtained and its variation with the yield stress is discussed. The effects of yield stress and permeability on the pumping characteristics are studied in detail. Moreover, when the limit of the permeability parameter α and the yield stress τ0 → 0, our results agree with those of Rao and Usha [25] for the peristaltic transport of two immiscible Newtonian fluids in a circular tube with an impermeable flexible wall. Furthermore, the results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the peristaltic transport models with physiological fluids, especially the shear-thinning fluids. Shear thinning reduces the wall shear stress.

CITED BY

  1. Vajravelu K., Sreenadh S., Lakshminarayana P., The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum, Communications in Nonlinear Science and Numerical Simulation, 16, 8, 2011. Crossref

  2. Sreenadh S., Komala K., Srinivas A.N.S., Peristaltic pumping of a power – Law fluid in contact with a Jeffrey fluid in an inclined channel with permeable walls, Ain Shams Engineering Journal, 8, 4, 2017. Crossref

  3. Kavitha A., Hemadri Reddy R., Saravana R., Sreenadh S., Peristaltic transport of a Jeffrey fluid in contact with a Newtonian fluid in an inclined channel, Ain Shams Engineering Journal, 8, 4, 2017. Crossref

  4. Sailaja M, Hemadri Reddy R, Saravana R, Avinash K, Aligned magnetic field effect on unsteady liquid film flow of Casson fluid over a stretching surface, IOP Conference Series: Materials Science and Engineering, 263, 2017. Crossref

  5. Suresh Goud J, Hemadri Reddy R, Saravana R, Peristaltic motion of a Bingham fluid in contact with a Newtonian fluid in a vertical channel, IOP Conference Series: Materials Science and Engineering, 263, 2017. Crossref

  6. Krishna P. Mohan, Sandeep N., Sharma Ram Prakash, Computational analysis of plane and parabolic flow of MHD Carreau fluid with buoyancy and exponential heat source effects, The European Physical Journal Plus, 132, 5, 2017. Crossref

  7. Javed Maryiam, Hayat T., Effects of heat transfer on MHD peristaltic transport of dusty fluid in a flexible channel, 2017 14th International Bhurban Conference on Applied Sciences and Technology (IBCAST), 2017. Crossref

  8. Ali N., Hussain S., Ullah K., Anwar Bég O., Mathematical modelling of two-fluid electro-osmotic peristaltic pumping of an Ellis fluid in an axisymmetric tube, The European Physical Journal Plus, 134, 4, 2019. Crossref

  9. Prakash J., Siva E. P., Tripathi D., Bég O. Anwar, Thermal slip and radiative heat transfer effects on electro-osmotic magnetonanoliquid peristaltic propulsion through a microchannel, Heat Transfer-Asian Research, 48, 7, 2019. Crossref

  10. Sivaiah R., Hemadri Reddy R., Saravana R., Peristaltic Flow of a Jeffrey Fluid in Contact with a Newtonian Fluid in a Vertical Channel, in Applied Mathematics and Scientific Computing, 2019. Crossref

  11. Hussain Sadaqut, Ali Nasir, Ullah Kaleem, Peristaltic flow of Phan-Thien-Tanner fluid: effects of peripheral layer and electro-osmotic force, Rheologica Acta, 58, 9, 2019. Crossref

  12. Ali N., Hussain S., Ullah K., Theoretical analysis of two-layered electro-osmotic peristaltic flow of FENE-P fluid in an axisymmetric tube, Physics of Fluids, 32, 2, 2020. Crossref

  13. Sreenadh S., Arunachalam P. V., Sumalatha B., Peristaltic Flow of Two-Layered Fluids in an Elastic Tube, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 91, 4, 2021. Crossref

  14. Vaidya Hanumesh, Choudhari Rajashekhar, Mebarek‐Oudina Fateh, Animasaun Isaac Lare, Prasad Kerehalli Vinayaka, Makinde Oluwale Daniel, Combined effects of homogeneous and heterogeneous reactions on peristalsis of Ree‐Eyring liquid: Application in hemodynamic flow, Heat Transfer, 50, 3, 2021. Crossref

  15. Almeida F., Venkatesh P., Gireesha B. J., Time-Reliant Flow of Casson Nanofluid with Gyrotactic Microbes through the Contracting/Dilating Walls of the Microchannel Impelled by Chemical Reactions, Brazilian Journal of Physics, 52, 4, 2022. Crossref

  16. Vajravelu K., Sreenadh S., Rajanikanth K., Lee Changhoon, Peristaltic transport of a Williamson fluid in asymmetric channels with permeable walls, Nonlinear Analysis: Real World Applications, 13, 6, 2012. Crossref

  17. Vajravelu K., Sreenadh S., Saravana R., Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid, Applied Mathematics and Nonlinear Sciences, 2, 2, 2017. Crossref

  18. 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

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