MATHEMATICAL MODELS FOR SIMULATION OF DYNAMICS, HEAT AND MASS TRANSFER AND COMBUSTION IN TWO-PHASE TURBULENT FLOWS

Author(s):  
Leonid I. Zaichik ◽  
V.A. Pershukov
2019 ◽  
Vol 66 ◽  
pp. 377-402 ◽  
Author(s):  
Brian E. Launder ◽  
Suhas V. Patankar ◽  
Andrew Pollard

Over a remarkably productive professional life Brian Spalding largely shaped the development of numerical procedures for computing complex turbulent flows. He created a major software company, CHAM, through which the fruits of his group's research could be made available to industry and other research groups across the globe. Thus, he became the outstanding founding figure in the subject now called computational fluid dynamics (CFD). His contributions were by no means limited to strategies for converting systems of non-linear partial differential equations to forms suitable for computer solution; he also brought notable innovations to the physical modelling of combustion, turbulence and two-phase flows. Besides research, he engaged deeply with the research community in heat and mass transfer, becoming a founding editor of two international journals in these areas, and a principal driver behind the creation of the International Centre for Heat and Mass Transfer in Belgrade. He also served as the inaugural scientific chairman of the European Research Community on Flow, Turbulence and Combustion. He led a protracted and ultimately successful campaign to enable Veniamin Levich to leave the Soviet Union to settle in Israel. Outside of his technical work, his principal passions were poetry and the Russian language, which were intertwined in several published volumes.


Author(s):  
Yuri Kornienko

The main goal of this paper is to describe new approach to constructing generalized closure relationships for pipe, annular and sub-channel transfer coefficients for wall friction, heat and mass transfer. The novelty of this approach is that it takes into account not only axial and transversal parameter distributions, but also an azimuthal substance transfer effects. These constitutive relations, which are primordial in the description of single- and two-phase one-dimensional (1D) flow models, can be derived from the initial 3D drift flux formulation. The approach is based on the Reynolds flow, boundary layer, and substance transfer generalized coefficient concepts. Another aim is to illustrate the validity of the “conformity principle” for the limiting cases. The method proposed in this paper is founded on the similarity theory, boundary layer model, and a phenomenological description of the regularity of the substance transfer (momentum, heat, and mass) as well as on an adequate simulation of the flow structures. With the proposed generalized approach it becomes possible to develop an integrated in form and semi-empirical in maintenance structure analytical relationships for wall friction, heat and mass transfer coefficients.


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