Influence of wall properties on peristaltic transport with heat transfer

G. Radhakrishnamacharya; Ch. Srinivasulu

doi:10.1016/j.crme.2007.05.002

Influence of wall properties on peristaltic transport with heat transfer

Presented by: Évariste Sanchez-Palencia

G. Radhakrishnamacharya ¹ ; Ch. Srinivasulu ¹

¹ Department of Mathematics and Humanities, National Institute of Technology, Warangal 506 004 (A.P.), India

Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 369-373.

Abstract
Résumé

The effect of elasticity of the flexible walls on peristaltic transport of an incompressible viscous fluid, with heat transfer, in a two dimensional uniform channel has been investigated under long wave length approximation. The perturbation solution has been obtained in terms of wall slope parameter and closed form expressions have been derived for velocity, temperature and heat transfer. The effects of elastic tension, damping and mass characterizing parameters on temperature and heat transfer have been studied. It is found that heat transfer increases with elastic tension and mass characterizing parameters.

Nous avons étudié le rôle de l'élasticité des parois flexibles sur le transport péristaltique d'un fluide visqueux incompressible, avec échange de chaleur, dans une conduite uniforme bi-dimensionnelle dans l'approximation de grande longueur d'ondes. Une solution perturbative a été obtenue, dépendant de la pente de la paroi comme paramètre, ainsi que les expressions explicites de la vitesse, température et le flux de chaleur. On a étudié également les effets des paramètres caractérisant la tension élastique, mouillage et la masse sur la température et l'échange thermique. On a trouvé que le transfert de chaleur augmente avec la tension élastique et la masse.

Received: 2006-09-28
Accepted: 2007-03-27
Published online: 2007-06-14

DOI: 10.1016/j.crme.2007.05.002

Keywords: Heat transfer, Peristaltic transport, Elastic walls, Viscous fluids, Biomedical instruments
Mots-clés : Transferts thermiques, Transport péristaltique, Parois élastiques, Fluides visqueux, Appareils biomédicaux

Author's affiliations:

G. Radhakrishnamacharya ¹; Ch. Srinivasulu ¹

¹ Department of Mathematics and Humanities, National Institute of Technology, Warangal 506 004 (A.P.), India

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     title = {Influence of wall properties on peristaltic transport with heat transfer},
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G. Radhakrishnamacharya; Ch. Srinivasulu. Influence of wall properties on peristaltic transport with heat transfer. Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 369-373. doi : 10.1016/j.crme.2007.05.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.05.002/

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