Article ID Journal Published Year Pages File Type
4500092 Mathematical Biosciences 2014 6 Pages PDF
Abstract

•The concentration distribution and growth of gas bubble are solved analytically.•Ascent rate, tissue diffusivity, and void fraction are dominant parameters.•Suction process activates the systemic blood circulation and delays bubbles’ growth.•The suction process decreasing the incidence of decompression sickness (DCS).•The present model is the extended of Mohammadein and Mohamed model [5].

The concentration distribution around a growing nitrogen gas bubble in the blood and other bio tissues of divers who ascend to surface too quickly is obtained by Mohammadein and Mohamed model (2010) for variant and constant ambient pressure through the decompression process. In this paper, the growing of gas bubbles and concentration distribution under the effect of suction process are studied as a modification of Mohammadein and Mohamed model (zero suction). The growth of gas bubble is affected by ascent rate, tissue diffusivity, initial concentration difference, surface tension and void fraction. Mohammadein and Mohamed model (2010) is obtained as a special case from the present model. Results showed that, the suction process activates the systemic blood circulation and delay the growth of gas bubbles in the bio tissues to avoid the incidence of decompression sickness (DCS).

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