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Coupled Systems Mechanics Volume 9, Number 3, June 2020 , pages 219-235 DOI: https://doi.org/10.12989/csm.2020.9.3.219 |
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Natural convection of nanofluid flow between two vertical flat plates with imprecise parameter |
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U. Biswal, S. Chakraverty and B.K. Ojha
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| Abstract | ||
| Natural convection of nanofluid flow between two vertical flat plates has been analyzed in uncertain environment. A non-Newtonian fluid Sodium Alginate (SA) as base fluid and nanoparticles of Copper (Cu) are taken into consideration. In the present study, we have taken nanoparticle volume fraction as an uncertain parameter in terms of fuzzy number. Fuzzy uncertainties are controlled by r-cut and parametric concept. Homotopy Perturbation Method (HPM) has been used to solve the governing fuzzy coupled differential equations for the titled problem. For validation, present results are compared with existing results for some special cases viz. crisp case and they are found to be in good agreement. | ||
| Key Words | ||
| natural convection; nanofluid; coupled system; homotopy perturbation method; fuzzy number; uncertainty | ||
| Address | ||
| U. Biswal, S. Chakraverty and B.K. Ojha: Department of Mathematics, National Institute of Technology Rourkela, Rourkela-769008, Odisha, India | ||
