The Collapsing of Gas Bubbles in the Bio tissues between Two-Phase Flow and its applications under the effect of Suction Process

Document Type : Research and Reference

Authors

1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

2 Department of Physics and Mathematics, Faculty of Engineering, Cairo University, Egypt.

Abstract

The collapse of Nitrogen gas bubbles in the bio tissues of Divers who surface too quickly to the
sea level is studied. In this paper, the effects of suction process on the collapsing of gas bubbles with
constant ambient obtained. The mathematical model is formulated by Fick, and concentration equations and
then solved by analytical method. The collapse of gas bubbles is affected by tissue concentration diffusivity
and void fraction. Results showed that, the suction process activates the systemic blood circulation and
accelerate the collapsing of gas bubbles in the bio tissues to avoid the incidence of decompression sickness
(DCS)

Keywords