https://scholars.lib.ntu.edu.tw/handle/123456789/627575
標題: | Two-stream interaction problem and its application to mass transport | 作者: | Song, MT Wang, CY CHIEN-CHENG CHANG |
關鍵字: | Two streams; Interface; Blasius profile; Universal curve; Mass extraction; BOUNDARY-LAYERS; SHEAR-FLOW | 公開日期: | 2022 | 出版社: | PERGAMON-ELSEVIER SCIENCE LTD | 卷: | 196 | 來源出版物: | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 摘要: | Classical boundary layer theory is effectively extended to study two-stream interaction problems. In particular, by proper scaling we invent a universal curve which relates the second-derivative initial condition of the normalized stream function to the first-derivative free-stream condition. This relationship is independent of any fluid property, and the Blasius flow profiles in respective streams are connected by matching at the interface. Accurate approximations to the universal curve are constructed by piecewise third-order polynomials. This technique finds an excellent application to mass transport problem of solvents from one immiscible fluid to another, namely, extraction of fluid as an interfacial problem. Analytical formula is obtained to show explicit dependence of mass flux on the nonlinear Blasius profiles, partition coefficient, Schmidt numbers, ratio of mass transfer coefficients, ratio of kinematic viscosities as well as the contact length of the two immiscible fluids. In other words, given these physical parameters, we directly obtain the mass flux simply by numerical quadrature of integrals involving the Blasius profiles. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/627575 | ISSN: | 0017-9310 | DOI: | 10.1016/j.ijheatmasstransfer.2022.123312 |
顯示於: | 應用力學研究所 |
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