Concentration Distribution Around the Gas Bubbles in a Bio Tissue with Acceleration Convection under the Effect of Injection Process

Authors

M. H. Omran, Department of Mathematics, Al-Arish Faculty of science, Suez Canal University, Al-Arish, Egypt.Follow
S. A. Mohammadein, Department of Mathematics, Faculty of science, Tanta University. Tanta, Egypt.Follow
R.A.Gad El-Rab, Al-Ghad International Medical Sciences College, Najran, Saudi Arabia.Follow

Author Country (or Countries)

Egypt.

Abstract

The concentration distribution around 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)[3] 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 injection process with convective acceleration are studied as a modification of Mohammadein and Mohamed model (zero injection)[3]. The growth of gas bubble is affected 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 injection process affects the systemic blood circulation and acceleration the growth of gas bubbles the bio tissues. The study warns the divers to take any kind of injection during the dive process to avoid the incidence of decompression sickness(DCS).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100637

Recommended Citation

H. Omran, M.; A. Mohammadein, S.; and El-Rab, R.A.Gad (2016) "Concentration Distribution Around the Gas Bubbles in a Bio Tissue with Acceleration Convection under the Effect of Injection Process," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 37.
DOI: http://dx.doi.org/10.18576/amis/100637
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/37