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research-article

Numerical analysis of plume structure of fluids on a horizontal heated plate

[+] Author and Article Information
T Praphul

M.Tech Scholar, Department of Mechanical Engineering, School of Engineering, Cochin University of Science and Technology, Kochi, India 682022
praphulmenon@gmail.com

P J Joshy

Associate Professor, Department of Mechanical Engineering, School of Engineering, Cochin University of Science and Technology, Kochi, India 682022
joshy@cusat.ac.in

P S Tide

Professor, Department of Mechanical Engineering, School of Engineering, Cochin University of Science and Technology, Kochi, India 682022
tideps@cusat.ac.in

1Corresponding author.

ASME doi:10.1115/1.4042812 History: Received September 15, 2018; Revised February 04, 2019

Abstract

Numerical investigations have been carried out to predict the near-wall dynamics in indirect natural convection for air (Pr = 0.7) and water (Pr = 5.2). Near-wall flow structures appear to be line plumes. Three-dimensional laminar, steady-state model was used to model the problem. Density was formulated using the Boussinesq approximation. Flux scaling, plume spacing and plume lengths obtained numerically are found to have the same trend with the results available in the literature. Plume length and Nusselt number, Nu exhibits an increasing trend with an increase in Rayleigh number, Ra for both Pr fluids. The plume spacing is found to have an inverse relationship with Ra. The cube root of Rayleigh number based on plume spacing is found to have a slight dependence on the dimensionless plume spacing. Nu scales as Nu ~ C Ra^n, n=0.26 for air and n= 0.3 for water. Heat transfer is thus found to be dominated by near wall phenomenon. Nu shows a non-linear relationship with L_p H/A and is found to be an accurate representation of heat transfer

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