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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

Malkeson, SP, Alshaaili, S and Chakraborty, N (2023) Numerical investigation of steady state laminar natural convection of power-law fluids in side-cooled trapezoidal enclosures heated from the bottom. Numerical Heat Transfer; Part A: Applications, 83 (7). pp. 770-789. ISSN 1040-7782

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: 0102 Applied Mathematics; 0905 Civil Engineering; 0913 Mechanical Engineering; Mechanical Engineering & Transports
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Engineering
Publisher: Taylor & Francis
SWORD Depositor: A Symplectic
Date Deposited: 27 Jun 2023 13:04
Last Modified: 27 Jun 2023 13:15
DOI or ID number: 10.1080/10407782.2022.2157353
URI: https://researchonline.ljmu.ac.uk/id/eprint/20087
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