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The Scientific World Journal
Volume 2015, Article ID 487819, 12 pages
Research Article

A Mathematical Model for the Flow of a Casson Fluid due to Metachronal Beating of Cilia in a Tube

1Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403, USA
2Department of Basic Sciences, Riphah International University, Islamabad 44000, Pakistan
3COMSATS Institute of Information Technology, Tobe Camp, Abbottabad 22010, Pakistan

Received 4 March 2014; Accepted 14 December 2014

Academic Editor: Abdelghani Bellouquid

Copyright © 2015 A. M. Siddiqui et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • A.B. Disu, and M.S. Dada, “Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls,” Journal of Taibah University for Science, 2015. View at Publisher · View at Google Scholar
  • Sidra Aman, Ilyas Khan, Zulkhibri Ismail, Mohd Zuki Salleh, Ali Saleh Alshomrani, and Metib Said Alghamdi, “Magnetic field effect on Poiseuille flow and heat transfer of carbon nanotubes along a vertical channel filled with Casson fluid,” AIP Advances, vol. 7, no. 1, pp. 015036, 2017. View at Publisher · View at Google Scholar
  • Deepak Kumar, K. Ramesh, and Sumit Chandok, “Influence of an External Magnetic Field on the Flow of a Casson Fluid in Micro-Annulus Between Two Concentric Cylinders,” Bulletin of the Brazilian Mathematical Society, New Series, 2018. View at Publisher · View at Google Scholar
  • H. Ashraf, A.M. Siddiqui, and M.A. Rana, “Analysis of the peristaltic-ciliary flow of Johnson-Segalman fluid induced by peristalsis-cilia of the human fallopian tube,” Mathematical Biosciences, 2018. View at Publisher · View at Google Scholar
  • R. Ponalagusamy, “Mathematical analysis of flow of non-Newtonian fluid due to metachronal beating of cilia in a tube and its physiological applications,” Applied Mathematics and Computation, vol. 337, pp. 545–561, 2018. View at Publisher · View at Google Scholar
  • Krishna Kumari, Ravi Kumar, and Saroj Vernekar, “A study on the effect of peristalsis and cilia of MHD Micropolar fluid flow through an inclined porous channel,” Journal of Applied Fluid Mechanics, vol. 11, no. 5, pp. 1321–1331, 2018. View at Publisher · View at Google Scholar