Laminar line source starting plumes and their interaction with energy expulsion events

Chetan, U and Kar, PK and Sahu, TL and Dhopeshwar, S and Mahato, J and Aditya, K and Lakkaraju, R (2024) Laminar line source starting plumes and their interaction with energy expulsion events. In: Acta Mechanica .

PDF Act_mec_2024.pdf - Published Version Restricted to Registered users only Download (3MB) | Request a copy

Abstract

We analyse laminar thermal plumes and their interactions originating from line sources using two-dimensional simulations for a range of Rayleigh numbers ((Formula presented.), which is based on the constant heat flux supplied at the source), spanning from (Formula presented.) to (Formula presented.). Initially, a single-plume system is examined by systematically varying (Formula presented.) within the range of (Formula presented.) to (Formula presented.). Subsequently, we explore a two-plume system, wherein the separation between the sources is within a range of four to twelve times the radius (R) of the cylindrical heater. Additionally, we have explored an equivalent single-plume scenario with an effective (Formula presented.) of (Formula presented.). The analysis establishes an empirical correlation for the cap-tip velocity ((Formula presented.)) and the steady-state average temperature of the heater with (Formula presented.). Notably, we observe that the sensitivity of these parameters to variations in (Formula presented.) is comparatively lower when compared to that in the case of point source heaters. Furthermore, the merged plume, which manifests in the case of the two-plume system, exhibited heightened stability for larger source separations. This increased stability is due to the diminished generation of vorticity and velocity fluctuations along the plume stem. Interestingly, we observe that the cap-tip velocity of the merged plume remained unaffected by the source separations. Following the merging of plumes, the two-plume system displays lateral mass ejections that increase with the source separations. These lateral mass ejections facilitate augmented heat transfer in the lateral direction, though at the expense of compromised heat transfer in the downstream direction. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Item Type:	Journal Article
Publication:	Acta Mechanica
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer.
Keywords:	Heat transfer; Mergers and acquisitions; Sensitivity analysis; Source separation, Constant heat flux; Cylindrical heaters; Empirical correlations; Energy; Laminar thermals; Line sources; Mass ejection; Rayleigh number; Tip velocity; Two-dimensional simulations, Heat flux
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	04 Mar 2024 06:18
Last Modified:	04 Mar 2024 06:18
URI:	https://eprints.iisc.ac.in/id/eprint/84179

Actions (login required)

View Item