Abstract
The flow of a Jeffrey fluid is extended to include a Newtonian fluid through a vertical symmetric channel with peristalsis under the assumptions of long wavelength and small Reynolds number. The model is applicable to study the behavior in physiological systems. The velocity field, stream function, interface shape, pressure rise (drop), and frictional force at the wall over a cycle of wavelength are obtained, and the results are shown graphically. It is observed that the variation of interface shape yields the thinner peripheral region in the dilated region with increasing Jeffrey parameter λ 1 and thicker peripheral region in the dilated region for low viscosity ratio.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Hayat, T., Ali, N., Asghar, N.: An analysis of peristaltic transport for flow of a Jeffrey fluid. Acta Mechanica. 193, 101–112(2007) https://doi.org/10.1007/s00707-007-0468-2.
Sohail Nadeem, Noreen Sher Akbar.: Peristaltic flow of a Jeffrey fluid with variable viscosity in an asymmetric channel. Z. Naturforsch. 64, 713–722(2009)
Kavitha, A., Reddy, R.H., Srinivas, A. N. S., Sreenadh, S.,Saravana, R.: Peristaltic transport of a Jeffrey fluid in a porous channel with suction and injection. International Journal of Mechanical and Materials Engineering,7, 152–157(2012)
Saravana, R., Sreenadh, S., Venkataramana, S., Hemadri Reddy, R., Kavitha, A.: Influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport of a Jeffrey fluid in a non-uniform porous channel. International Journal of Innovative Technology and Creative Engineering, 1, 10–24(2011)
Brasseur, J.G., Corrsin, S., Lu, Nan Q.: The influence of a peripheral layer of different viscosity on peristaltic pumping with Newtonian fluids. J. Fluid Mech. 174, 495–519(1987)
Ramachandra Rao, A., Usha, S.: Peristaltic transport of two immiscible viscous fluid in a circular tube. J.Fluid Mech. 298, 271–285(1995)
Vajravelu, K., Sreenadh, S., Hemadri Reddy, R., Murugeshan, K.: Peristaltic transport of a Casson fluid in contact with a Newtonian fluid in a circular tube with permeable wall. International Journal of Fluid Mechanics Research. 36, 244–254(2009)
Hari Prabakaran, P., Hemadri Reddy, R., Sreenadh, S., Saravana, R., Kavitha, A.: Peristaltic pumping of a Bingham fluid in contact with a Newtonian fluid in an inclined channel under long wave length approximation. Advances and Applications in Fluid Mechanics. 13, 127–139(2013)
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, 683–687(2017)
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, 429–442(2017)
Saravana R., Hariprabakaran P., Hemadri Reddy R., Sreenadh S.: Peristaltic Flow of a Bingham Fluid in Contact with a Jeffrey Fluid. Applications of Fluid Dynamics, Lecture Notes in Mechanical Engineering, (2018) Springer, Singapore. https://doi.org/10.1007/978-981-10-5329-0-37.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Sivaiah, R., Hemadri Reddy, R., Saravana, R. (2019). Peristaltic Flow of a Jeffrey Fluid in Contact with a Newtonian Fluid in a Vertical Channel. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_19
Download citation
DOI: https://doi.org/10.1007/978-3-030-01123-9_19
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-01122-2
Online ISBN: 978-3-030-01123-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)