THERMAL SCIENCE

International Scientific Journal

Gamiel A Shalaby

,

Ali F Abu-Bakr

GROWTH OF N-DIMENSIONAL SPHERICAL BUBBLE WITHIN VISCOUS, SUPERHEATED LIQUID: ANALYTICAL SOLUTION

ABSTRACT
In this paper, we present the study of the behavior of spherical bubble in N-dimensions fluid. The fluid is a mixture of vapor and superheated liquid. The mathematical model is formulated in N-dimensions fluid on the basis of continuity and momentum equations, and solved its analytically. The variable viscosity is taken into an account problem. The obtained results show that the radius of bubble in-creases with the decreasing of the value of N-dimensions.
KEYWORDS
spherical bubbles, N-dimensions fluid, analytical solution, growth problem, vapour and superheated liquid
PAPER SUBMITTED: 2019-03-30
PAPER REVISED: 1970-01-01
PAPER ACCEPTED: 2019-09-22
PUBLISHED ONLINE: 2019-10-06
DOI REFERENCE: https://doi.org/10.2298/TSCI190330380S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE No. 1, PAGES [503 - 514]
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Growth of N-dimensional spherical bubble within viscous, superheated liquid: Analytical solution

© 2026 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