1. bookVolume 25 (2020): Issue 3 (September 2020)
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19 Apr 2013
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A New Approach for Study the Electrohydrodynamic Oscillatory Flow Through a Porous Medium in a Heating Compliant Channel

Published Online: 17 Aug 2020
Page range: 30 - 44
Received: 29 Oct 2019
Accepted: 02 Apr 2020
Journal Details
License
Format
Journal
First Published
19 Apr 2013
Publication timeframe
4 times per year
Languages
English
Copyright
© 2020 Sciendo

The governing equations of an electrohydrodynamic oscillatory flow were simplified, using appropriate nondimensional quantities and the conversion relationships between fixed and moving frame coordinates. The obtained system of equations is solved analytically by using the regular perturbation method with a small wave number. In this study, modified non-dimensional quantities were used that made fluid pressure in the resulting equations dependent on both axial and vertical coordinates. The current study is more realistic and general than the previous studies in which the fluid pressure is considered functional only in the axial coordinate. A new approach enabled the author to find an analytical form of fluid pressure while previous studies have not been able to find it but have found only the pressure gradient. Analytical expressions for the stream function, electrical potential function and temperature distribution are obtained. The results show that the electrical potential function decreases by the increase of the Prandtl number, secondary wave amplitude ratio and width of the channel.

Keywords

[1] Latham T.W. (1966): Fluid motion in a peristaltic pump. – M. SC. Thesis, MIT, Cambridge, M.A.Search in Google Scholar

[2] Fung Y.C. and Yih C.S. (1968): Peristaltic transport. J. Appl. Mech., vol.35, pp.669-675.Search in Google Scholar

[3] Shapiro A.H., Jaffrin M.Y. and Weinberg S.L. (1969): Peristaltic pumping with long wavelengths at low Reynolds number. J. Fluid Mech., vol.37, pp.799-825.Search in Google Scholar

[4] AbdElnaby M.A. and Haroun M.H. (2008): A new model for study the effect of wall properties on peristaltic transport of a viscous fluid. Communications in Nonlinear Science and Numerical Simulation, vol.13, pp.752-762.Search in Google Scholar

[5] Sankad G.C. and Nagathan P.S. (2017): Influence of wall properties on the peristaltic flow of a Jeffrey fluid in a uniform porous channel under heat transfer. Int. J. Res. Ind. Eng., vol.6, No.3, pp.246-261.Search in Google Scholar

[6] Nadeem S., Riaz A. and Ellahi R. (2014): Peristaltic flow of viscous fluid in a rectangular duct with compliant walls. Comput. Math. Model., vol.25, No.3, pp.404-415.Search in Google Scholar

[7] Haroun M.H. (2006): On non-linear magnetohydrodynamic flow due to peristaltic transport of an Oldroyd 3-constant fluid. Z. Naturforsch. A, vol.61, pp.263-274.Search in Google Scholar

[8] Hayat T., Rafiq M. and Ahmad B. (2016): Influences of rotation and thermophoresis on MHD peristaltic transport of Jeffrey fluid with convective conditions and wall properties. Journal of Magnetism and Magnetic Materials, vol.410, pp.89-99.Search in Google Scholar

[9] Mekheimer Kh.S., Saleem N. and Hayat T. (2012): Simultaneous effects of induced magnetic field and heat and mass transfer on the peristaltic motion of second-order fluid in a channel. International Journal for Numerical Methods in Fluids, vol.70, pp.342-358.Search in Google Scholar

[10] Ranjit N.K. and Shit G.C. (2017): Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip. Physica A, vol.482, pp.458-476.Search in Google Scholar

[11] Tripathi D., Sharma A. and Beg O.A. (2017): Electrothermal transport of nanofluids via peristaltic pumping in a finite micro-channel: Effects of Joule heating and Helmholtz-Smoluchowski velocity. International Journal of Heat and Mass Transfer, vol.111, pp.138-149.Search in Google Scholar

[12] El-Sayed M.F., Haroun M.H. and Mostapha D.R. (2015): Electroconvection peristaltic flow of viscous dielectricliquid sheet in asymmetrical flexible channel. Journal of Atomization and Sprays, vol.25, pp.985-1011.Search in Google Scholar

[13] Landau L.D. and Lifshitz E.M. (1960): Electrodynamics of Continuous Media. New York: The Macmillan Company.Search in Google Scholar

[14] Tropea C., Yarin A.L. and Foss J.F. (2007): Hand Book of Experimental Fluid Mechanics. Berlin: Springer.Search in Google Scholar

[15] Takashima M. and Ghosh A.K. (1979): Electrohydrodynamic instability of viscoelastic liquid layer. J. Physical Society of Japan, vol.47, pp.1717-1722.Search in Google Scholar

[16] Davies C. and Carpenter P.W. (1997): Instabilities in a plane channel flow between compliant walls. J. Fluid Mech., vol.352, pp.205-243.Search in Google Scholar

[17] Nayfeh A.H. (1981): Introduction to Perturbation Techniques. – New York: John Wiley and Sons.Search in Google Scholar

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