THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Debasish Dey

,

Rupjyoti Borah

DUAL SOLUTIONS OF WATER-BASED MICROPOLAR NANOFLUID FLOW OVER A SHRINKING SHEET WITH THERMAL TRANSMISSION: STABILITY ANALYSIS

ABSTRACT
Investigation of the nature of dual solutions of the water-based micropolar nanofluid-flow with thermal transmission due to a contracting surface has been done in the work. The flow is characterized by its shrinking velocity and imposed magnetic field. Also, this work is one of the contributions that illustrate the microrotation and microinertia descriptions of nanofluids. The effects of metallic nanoparticles Cu and CuO have been discussed throughout this study. A uniform magnetic field has been applied in the normal direction of the flow. A set of basic equations that supports the present problem are derived from the principle of conservation laws and have been modernized into a set of solvable forms by employing suitable similarity variables. The MATLAB built-in bvp4c solver scheme is engineered to solve this problem. In order to tackle boundary value problems that are highly non-linear, this numerical method largely relies on collocation and finite difference techniques. From this study, we have perceived that the speed of the motion of CuO-water nanofluid in both cases (the first and second solutions) is less than CuO-water nanofluid. The material parameter plays an important role by enhancing the heat transfer rate of the fluid at the surface of the sheet in both time-dependent and time-independent cases. From the stability analysis, the first solution has been found as the stable and physically attainable solution. Additionally, the material parameter aids in reducing the effects of couple stress and shear stress on the fluid in both situations near the surface.
KEYWORDS
nanofluid, micropolar fluid, heat transfer, Dual solutions, stability analysis
PAPER SUBMITTED: 2023-01-28
PAPER REVISED: 2023-09-20
PAPER ACCEPTED: 2023-10-03
PUBLISHED ONLINE: 2023-12-10
DOI REFERENCE: https://doi.org/10.2298/TSCI230128253D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [2579 - 2594]
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Dual solutions of water-based micropolar nanofluid flow over a shrinking sheet with thermal transmission: Stability analysis

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence