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Flow and wall heat transfer due to a continuously moving slender needle in hybrid nanofluid with stability analysis


Salleh, Siti Nur Alwani and Bachok, Norfifah and Md Ali, Fadzilah and Md Ariffin, Norihan (2020) Flow and wall heat transfer due to a continuously moving slender needle in hybrid nanofluid with stability analysis. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 76 (3). 62 - 74. ISSN 2289-7879


Present work deals with the numerical study of flow due to a continuously moving slender needle in a hybrid nanoliquid. The mathematical model of this work is developed in terms of nonlinear partial differential equations. By adopting the relevant similarity transformations, these equations are reduced to a system of nonlinear ordinary differential equations. Afterward, the solution is determined computationally via a bvp4c solver in MATLAB software. The influences of nanoparticle volume fraction, needle thickness and velocity ratio parameter on the rate of heat transfer, coefficient of skin friction, velocity as well as temperature distributions are illustrated in graphical form to describe the important features of the solution. The multiple solutions seem to appear when the needle opposes the free stream flow. It is revealed from the study that the composite (hybrid) nanoparticles augment the heat transfer rate between the flow and the needle in a certain domain of the velocity ratio parameter. The analysis of stability has proved that the upper branch solution represents stable flow, whereas the lower branch solution represents unstable flow.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.37934/arfmts.76.3.6274
Publisher: Penerbit Akademia Baru
Keywords: Hybrid nanofluid; Dual solutions; Stability analysis; Numerical study
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 21 Sep 2021 22:47
Last Modified: 21 Sep 2021 22:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.37934/arfmts.76.3.6274
URI: http://psasir.upm.edu.my/id/eprint/89044
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