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ELECTRO-OSMOTIC EFFECT ON PERISTALTIC FLOW OF PHAN–THIEN–TANNER FLUID IN A PLANAR CHANNEL

Part of: Biological fluid mechanics

Published online by Cambridge University Press:  24 May 2024

MAHADEV M. CHANNAKOTE Open the ORCID record for MAHADEV M. CHANNAKOTE [Opens in a new window] ,
SHEKAR M. Open the ORCID record for SHEKAR M. [Opens in a new window]  and
V. K. DILIPKUMAR Open the ORCID record for V. K. DILIPKUMAR [Opens in a new window]
MAHADEV M. CHANNAKOTE*
Affiliation:
Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Bengaluru, Karnataka 560054, India
SHEKAR M.
Affiliation:
Department of Mathematics, B. M. S. College of Engineering, Bengaluru, Karnataka 560019, India; e-mail: shekarm872@gmail.com
V. K. DILIPKUMAR
Affiliation:
Department of Mathematics, Gurunanak Dev Engineering College, Bidar, Mailoor Road Bidar, Karanataka 585403, India; e-mail: dilipkalse@gmail.com
*
e-mail: mchannakote@rediffmail.com
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Abstract

There are several factors that can cause the excessive accumulation of biofluid in human tissue, such as pregnancy, local traumas, allergic responses or the use of certain therapeutic medications. This study aims to further investigate the shear-dependent peristaltic flow of Phan–Thien–Tanner (PTT) fluid within a planar channel by incorporating the phenomenon of electro-osmosis. This research is driven by the potential biomedical applications of this knowledge. The non-Newtonian fluid features of the PTT fluid model are considered as physiological fluid in a symmetric planar channel. This study is significant, as it demonstrates that the chyme in the small intestine can be modelled as a PTT fluid. The governing equations for the flow of the ionic liquid, thermal radiation and heat transfer, along with the Poisson–Boltzmann equation within the electrical double layer, are discussed. The long-wavelength ($\delta \ll 1$) and low-Reynolds-number approximations ($Re \to 0$) are used to simplify the simultaneous equations. The solutions analyse the Debye electronic length parameter, Helmholtz–Smoluchowski velocity, Prandtl number and thermal radiation. Additionally, streamlines are used to examine the phenomenon of entrapment. Graphs are used to explain the influence of different parameters on the flow and temperature. The findings of the current model have practical implications in the design of microfluidic devices for different particle transport phenomena at the micro level. Additionally, the noteworthy results highlight the advantages of electro-osmosis in controlling both flow and heat transfer. Ultimately, our objective is to use these findings as a guide for the advancement of lab-on-a-chip systems.

Keywords

heat transferthermal radiationelectro-osmosisperistaltic flowPhan–Thien–Tanner fluid

MSC classification

Primary: 76Z05: Physiological flows
Type
Research Article
Information
The ANZIAM Journal , First View , pp. 1 - 21
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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