Natural convection of dusty nanofluids within a concentric annulus
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Natural convection of dusty nanofluids within a concentric annulus Litan Kumar Saha1,a
, Shujit Kumar Bala2 , Nepal Chandra Roy3
1 Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh 2 Department of Mathematics, University of Barishal, Barishal 8200, Bangladesh 3 Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
Received: 24 July 2020 / Accepted: 5 September 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This study expounds the numerical simulation of two-phase dusty nanofluid flow in an annulus surrounded by two concentric cylinders. The flow is generated in the annulus because of the temperature difference between the heated inner wall and cold outer wall. An appropriate variable transform which transfigures the annular domain into a rectangular one is introduced in this study. The governing equations for the nanofluid phase and dusty phase in transformed coordinates are solved by employing finite difference technique. The momentous results to analyze the flow and heat transfer are blazoned for physically significant parameters, namely, the nanoparticles volume fraction, the Rayleigh number, the aspect ratio, the density ratio and the dusty parameter. Results establish that the flow strength can be increased by incrementing the nanoparticles volume fraction, the Rayleigh number and the aspect ratio. Besides, heat transfer can be enhanced at the both walls by incrementing the nanoparticles volume fraction and the Rayleigh number and can be diminished by incrementing the density ratio and the dusty parameter.
1 Introduction Natural convection between two concentric cylinders contributes greatly to various engineering problems, such as heat reservoir, solar modules, food processing, geophysics, nuclear reactor and heating and cooling of electronic equipments. An extensive survey of the literature relating to flow and heat transfer between two concentric or eccentric annuli was adopted by Kuehn and Goldstein [1, 2], Shu and Yeo [3] and Cho et al. [4]. All of the above studies consider traditional operating fluids (e.g., water, oil and ethylene glycol), with poor thermal conductivity, and contribute an inadequate heat transfer performance. Due to the rise in energy prices, it is mandatory to control heat transfer in engineering applications. Nanofluids technology, i.e., adding nanosized solid particle like silver, copper, titanium oxide, alumina and copper oxide to the base fluid is anticipated and considered as a new branch of heat transfer enhancement techniques, was introduced by Choi [5]. Thereafter, several authors [6–11] theoretically and experimentally substantiated the concept of Choi. Abu-Nada et al. [12] carried out a numerical simulation of natural convective nanofluid flow within an annulus surrounded by two concentric cylinders to investigate the heat transfer
a e-mail: [email protected] (corresponding author)
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Eur. Phys. J. Plus
(2020) 135:732
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