Growth of a Gas Bubble in a Steady Diffusion Field in a Tissue Undergoing Decompression. Issue 6 (1st November 2016)

• Record Type: Journal Article
• Authors: Mohammadein, Selim A.; Mohamed, Khaled G.
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 6(2016)
• Page Start: 762
• Page End: 773
• Publication Date: 2016-11-01
• Subjects: bubble growth -- steady diffusion -- tissue -- concentration distribution -- viscosity; 76T10 -- 76A05 -- 76Zxx; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1241835
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: This paper presents parameterized study on the growth of a convective gas bubble in tissues of a steady diffusion field. Resulting formulae are obtained analytically, which are valid for constant ambient pressure. It's found that the growing bubble radius is proportional to initial bubble radius, initial concentration difference, diver's average temperature and initial void fraction which is the dominant parameter, while it's inversely proportional to surface tension, viscosity, density ratio and ambient pressure. Comparison to some previous work is performed.