A numerical well-balanced scheme for one-dimensional heat transfer in longitudinal triangular fins
type: Item
instance of: scholarly article
title: A numerical well-balanced scheme for one-dimensional heat transfer in longitudinal triangular fins
zbMATH Open document ID: 1299.80017
DOI: 10.1155/2013/609536
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: The temperature profile for fins with temperature-dependent thermal conductivity and heat transfer coefficients will be considered. Assuming such forms for these coefficients leads to a highly nonlinear partial differential equation (PDE) which cannot easily be solved analytically. We establish a numerical balance rule which can assist in getting a well-balanced numerical scheme. When coupled with the zero-flux condition, this scheme can be used to solve this nonlinear partial differential equation (PDE) modelling the temperature distribution in a one-dimensional longitudinal triangular fin without requiring any additional assumptions or simplifications of the fin profile.
Mathematics Subject Classification ID: 80M12
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6372542
Wikidata QID: Q59030955
author: I. Rusagara
author: Charis Harley
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/609536
OpenAlex ID: W2022844624
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description: scientific article; zbMATH DE number 6372542