Effect of suction process on the growth of a convective gas bubble in diver's tissues  

作　　者：Khaled G.Mohamed Selim A.Mohammadein AhmedK.Abu-Nab 

机构地区：[1]Department of Mathematics,Faculty of Science Banha University,Benha,Egypt [2]Department of Mathematics,Faculty of Science Tanta University,Tanta,Egypt [3]Fluid Dynamics and Seismics Lab Moscow Institute of Physics and Technology Dolgoprudny,Moscow region,141700,Russia Mathematics and Computer Science Department Faculty of Science,Menoufia University Shebin El-Kom,32511,Egypt

出　　处：《International Journal of Biomathematics》2023年第2期177-197,共21页生物数学学报（英文版）

摘　　要：The motivation of this research is to study the effect of suction process on a growing gas bubble and concentration distribution around this bubble in tissues of divers who surface too quickly.The effect of bubble motion is also considered.The method of combined variables is used to solve the problem by combining the radial and time variables into one variable by using a suitable similarity transformation that enables to divide the diffusion equation into two ODEs,the first concerns to concentration distribution and the other concerns to the bubble radius evolution.The resultant formulae are valid for both growth stages whenever the ambient pressure is variable at ascending of the diver,or constant as the diving stops or at sea-level.The effects of physical parameters are discussed when applying suction process and show that the dominant parameter is the initial void fraction.The research findings reveal the role of suction process to activate the systemic blood circulation and delay the growth of gas bubbles in the tissues and reduce the incidence of decompression illness(DCI).This research also provides evidenceand agrees with the previous experimental studies to support the use of suction therapy to reduce the DCI harmful effects.

关 键 词：Nitrogen bubbles suction therapy void fraction method of combined variables decompression illness 

分 类 号：O35[理学—流体力学]