Lie group method for analyzing the generalized heat transfer mathematical model for Lake Tahoe

Lie group method for analyzing the generalized heat transfer mathematical model for Lake Tahoe

The one-dimensional time-dependent heat transfer equation in a vertical direction is introduced in terms of a general formula of density and thermal conductivity. One-parameter Lie symmetry group transformation is applied to determine the suitable forms of water density and thermal conductivity base...

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Bibliographic Details
Main Authors: Mina B. Abd-el-Malek, Nagwa A. Badran, Amr M. Amin, Anood M. Hanafy
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Lie symmetry transform
Thermal stratification of lakes
One-dimensional heat transfer model
Density and thermal conductivity of lakes
Thermal distribution
Tahoe Lake
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818120300036

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http://www.sciencedirect.com/science/article/pii/S2666818120300036

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