Math. Model. Nat. Phenom.
Volume 17, 2022
Modelling and Simulations of Fluid Flows
|Number of page(s)||31|
|Published online||11 July 2022|
Mathematical modeling of Aphron drilling nanofluid driven by electroosmotically modulated peristalsis through a pipe
School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
2 DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan
* Corresponding author: firstname.lastname@example.org
Accepted: 13 March 2022
This analysis is conducted for a theoretical examination of the fluid flow characteristics and heat transferred by the nanoparticle-enhanced drilling muds flowing through drilling pipes under various physical conditions. Here, an important type of drilling fluid called Aphron drilling fluid is under consideration which is very effective for drilling in depleted regions. The rheological characteristics of the drilling fluid are predicted by Herschel-Bulkley fluid model. The fluid flow is driven by peristaltic pumping which is further aided by electroosmosis. The zinc oxide nanoparticles are dispersed in the aphron drilling fluid to prepare the nanofluid. The administering set of equations is simplified under the lubrication approach and the closed-form solutions are obtained for velocity and pressure gradient force. However, numerical solutions are executed for the temperature of nanofluid through built-in routine bvp4c of MATLAB. Fluid flow characteristics are analyzed for variation in physical conditions through graphical results. The outcomes of this study reveal that velocity profile substantially rises for application of forwarding electric field and temperature profile significantly decays in this case. An increment in temperature difference raises the magnitude of the Nusselt number. Furthermore, the nanoparticle volume fraction contributes to fluid acceleration and thermal conductivity of the drilling fluid.
Mathematics Subject Classification: 80A20 / 76A05
Key words: Aphron Drilling nanofluid. Electroosmosis / Herschel-Bulkley model / bvp4c / Peristalsis
© The authors. Published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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