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This article is cited in 11 scientific papers (total in 11 papers)
Peristaltic flow of a reactive viscous fluid through a porous saturated channel and convective cooling conditions
S. Asgharab, Q. Hussaina, T. Hayatbc, A. Alsaedib a COMSATS Institute of Information Technology, Islamabad, 44000, Pakistan
b King Abdulaziz University, P.O.Box 80203, Jeddah, 21589, Saudi Arabia
c Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan
Abstract:
This article addresses the heat transfer in a peristaltic flow of a reactive combustible viscous fluid through a porous saturated medium. The flow here is induced because of travelling waves along the channel walls. It is assumed that exothermic chemical reactions take place within the channel under the Arrhenius kinetics and the convective heat exchange with the ambient medium at the surfaces of the channel walls follows Newton's law of cooling. The analysis is carried out in the presence of viscous dissipation and without consumption of the material. The governing equations are formulated by employing the long-wavelength approximation. Closed-form solutions for the stream function, axial velocity, and axial pressure gradient are obtained. It is found that the temperature decreases at high Biot numbers, and the Nusselt number increases with increasing reaction parameter. The Biot number and reaction parameter produce the opposite effects on the Nusselt number.
Keywords:
peristalsis, reactive fluid, porous medium, convective conditions, viscous dissipation, pumping.
Received: 17.06.2013 Revised: 19.11.2013
Citation:
S. Asghar, Q. Hussain, T. Hayat, A. Alsaedi, “Peristaltic flow of a reactive viscous fluid through a porous saturated channel and convective cooling conditions”, Prikl. Mekh. Tekh. Fiz., 56:4 (2015), 48–59; J. Appl. Mech. Tech. Phys., 56:4 (2015), 580–589
Linking options:
https://www.mathnet.ru/eng/pmtf919 https://www.mathnet.ru/eng/pmtf/v56/i4/p48
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