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Jordan Y. Hristov

A NOTE ON APPROXIMATE SOLUTIONS TO ZELDOVICH’S EQUATION

ABSTRACT
The double integral-balance approach and Barenblatt’s assumed profile have been used to create approximate solutions to the Zeldovich equation, both linear and degenerate. The evaluation of the controlling dimensionless groups and proper dimensional scaling have been the main focus of the solution developments and analyses.
KEYWORDS
reaction-diffusion, approximate solutions, integral-balance method, scaling
PAPER SUBMITTED: 2024-09-29
PAPER REVISED: 2024-11-25
PAPER ACCEPTED: 2024-11-30
PUBLISHED ONLINE: 2024-12-07
DOI REFERENCE: https://doi.org/10.2298/TSCI240929273H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 1, PAGES [621 - 628]
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A note on approximate solutions to Zeldovich’s equation

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence