Abstract
The multifaceted process of gas absorption and diffusion of dissolved gases has several useful applications in engineering, medicine, pharmaceutics, and science. A new systematic study for modeling of this process using an inverse problem for concentration dependent diffusion with free boundary at the gas–liquid interface is presented in this work. The study includes the model derivation based on the Fick’s second law of diffusion, the Henry’s absorption law, the Stefan’s principles of free boundary problems, and the development of new techniques for estimation of concentration dependent diffusion coefficient and the gas absorption coefficient governing propagation of gas–liquid interface due to absorption. The developed estimation technique utilized the dissolved gas concentration profiles measured and different time moments and is applied to real X-ray CT measurement data for a binary gas liquid mixture containing dimethyl ether and bitumen.
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