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Numerical investigation of steady state laminar natural convection of power-law fluids in side-cooled trapezoidal enclosures heated from the bottom

Lookup NU author(s): Professor Nilanjan ChakrabortyORCiD

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND).

Abstract

© 2023 The Author(s). Published with license by Taylor & Francis Group, LLC.Laminar, steady-state, natural convection of power-law fluids in 2-D trapezoidal enclosures with a heated bottom wall, adiabatic top wall and cooled inclined sidewalls has been analyzed for the first time based on numerical simulations for a range of different values of nominal Rayleigh number (i.e. (Formula presented.)), power-law index (i.e. (Formula presented.)), nominal Prandtl number (i.e. (Formula presented.)) and sidewall inclination angle (i.e. (Formula presented.)). It has been found that the mean Nusselt number (Formula presented.) increases with increasing nominal Rayleigh number (Formula presented.) (up to a 187% increase for (Formula presented.) and up to 2.3% increase for (Formula presented.) between (Formula presented.) and (Formula presented.)) and decreasing power-law index (Formula presented.) (up to a 4.1% increase for (Formula presented.) and up to 193% increase for (Formula presented.) between (Formula presented.) and 1.8) due to the strengthening of advective transport. Moreover, an increase in the sidewall inclination angle (Formula presented.) leads to a decrease in (Formula presented.) (approximately 44% decrease for (Formula presented.) across values of (Formula presented.) and up to 33% decrease for (Formula presented.) across values of (Formula presented.)) due to an increase in the area for heat loss from the cavity. It has been found that (Formula presented.) does not vary significantly with the values of (Formula presented.) considered in the current study. Furthermore, a new correlation for the mean Nusselt number (Formula presented.) in this configuration has been identified which provides adequate approximation of the corresponding values obtained from the simulations.

Publication metadata

Author(s): Malkeson SP, Alshaaili S, Chakraborty N

Publication type: Article

Publication status: Published

Journal: Numerical Heat Transfer; Part A: Applications

Year: 2023

Volume: 83

Issue: 7

Pages: 770-789

Online publication date: 17/01/2023

Acceptance date: 07/12/2022

Date deposited: 07/12/2022

ISSN (print): 1040-7782

ISSN (electronic): 1521-0634

Publisher: Taylor and Francis Ltd.

URL: https://doi.org/10.1080/10407782.2022.2157353

DOI: 10.1080/10407782.2022.2157353

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