Hall effects on flow of a Prandtl fluid through a porous medium in a planar channel with peristalsis
DOI:
https://doi.org/10.61841/7n043863Keywords:
Hall, Newtonian fluid,, Hartmann number, long wavelength, peristaltic pumping, Darcy number,, Prandtl fluid,, porous mediumAbstract
in this paper, the effect of Hall on the flow of Prandtl fluid through a porous medium in a planar channel under the assumption of long wavelength is investigated. A Closed form solutions are obtained for axial velocity and pressure gradient. The effects of various emerging parameters on the pressure gradient, time averaged volume flow rate and frictional force are discussed with the aid of graphs.
Downloads
References
1. Abo-Eldahab E.M., Barakat, E. I., and Nowar, K.I, “Effects of Hall and ion- slip currents on peristaltic transport of a couple stress fluid", International Journal of Applied Mathematics and Physics, 2 (2) (2010), pp 145–157.
2. Akbar, N.S., Nadeem, S. and Lee, C. “Peristaltic flow of a Prandtl fluid model in an asymmetric channel”, Int. J. Phys. Sci., 7(5)(2012), pp 687-695.
3. Bhatti, M.M., Ali Abbas, M. and Rashidi,M.M., “Effect of hall and ion slip on peristaltic blood flow of Eyring Powell fluid in a non-uniform porous channel”,World Journal of Modelling and Simulation, Vol. 12 (2016) No. 4, pp. 268-279.
4. Bohme, G., and Friedrich, R. “Peristaltic flow of viscoelastic liquids”, J.Fluid Mech., 128 (1983), pp 109-122.
5. Eldabe,N.T.M., Ahmed,Y., Ghaly,A.Y., Sallam,S.N., Elagamy,K., and Younis,Y.M, “Hall effect on peristaltic flow of third order fluid in a porous medium with heat and mass transfer”, Journal of Applied Mathematics and Physics, 2015, 3, 1138-1150.
6. Gad, N.S., “Effects of Hall current on peristaltic transport with compliant walls”, Appl. Math. Comput. 235 (2014), pp 546–554.
7. Hayat, T., Ali, N and Asghar, S, “Hall effects on peristaltic flow of a Maxwell fluid in a porous medium”, Phys. Letters A, 363(2007), pp 397-403.
8. Jyothi ,S., SubbaReddy, M.V and Ramakrishna Prasad,A, “Peristaltic flow of a Prandtl fluid in a symmetric channel under the effect of a magnetic field”, Advances in Applied Science Research, 3 (4)(2012), pp 2108- 2119.
9. Patel,M., and Timol, M.G, “The stress strain relationship for viscous-inelastic non-Newtonian fluids”, Int. J. Appl. Math. Mech., 6(12)(2010), pp 79-93.
10. Radhakrishnamacharya ,G., and Srinivasulu, Ch., “Influence of wall properties on peristaltic transport with heat transfer”, C. R. Mecanique, 335 (2007), pp 369 –373.
11. Raju, K.K.. and Devanathan, R., “Peristaltic motion of a non-Newtonian fluid part –I”, Rheol. Acta., 11(1972), pp 170-178.
12. Shalini, K., and Rajasekhar, K., “Peristaltic flow of a Newtonian fluid through a porous medium in a two- dimensional channel with Hall effects”, International Journal of Scientific & Engineering Research Volume 10, Issue 5, May-2019,pp 872-877
13. Shapiro, A.H., Jaffrin, M.Y and Weinberg, S.L., “Peristaltic pumping with long wavelengths at low Reynolds number”, J. Fluid Mech. 37(1969),pp 799-825.
14. Siddiqui, A.M., Provost, A. and Schwarz, W.H. “Peristaltic pumping of a second-order fluid in a planar channel”, Rheol. Acta, 30(1991), pp 249-262.
15. Srinivas,S. and M.Kothandapani, “The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls”, Appl. Math. Comput., 213(2009), pp 197.
16. Subba Narasimhudu, K. “Effects of hall on peristaltic flows of conducting fluids ”, Ph D., Thesis, Rayalaseema University, (2017). Reddy, M. V., Jayarami Reddy, B. and Prasanth Reddy,
17. Subbareddy .D, “Peristaltic pumping of Williamson fluid in a horizontal channel under the effect of magnetic field”, International Journal of Fluid Mechanics, Vol. 3(1)(2011), pp 89-109.
18. Nanloh S Jimam, Nahlah E Ismail. "Uncomplicated Malaria Management Practices and Cost of Illness Implications on Patients in Nigeria: A Systematic Review of Evidence." Systematic Reviews in Pharmacy 10.1 (2019), 103-111. Print. doi:10.5530/srp.2019.1.18
19. Wang, L., Jing, Y., Zhi, K., Dimirovski, G.M.Adaptive exponential synchronization of uncertain complex dynamical networks with delay coupling (2008) NeuroQuantology, 6 (4), pp. 397-404.
20. Tang, Y., Di, Q., Guan, X., Liu, F.Threshold selection based on fuzzy Tsallis entropy and particle swarm optimization(2008) NeuroQuantology, 6 (4), pp. 412-419.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
