by Dan Hughes
Here are some of the first results from the initial development of an improved mathematical description of the thermodynamics and fluid dynamics of transient, compressible, boiling and flashing, two-phase fluid flows.
[Update September 6, 2017] I found a document that summarizes the first cut at the heat transfer coefficient and friction factor models and correlations required to close the entire UVUT equation system. The references cite related documents that pre-date this. For a Conference Paper, this summary is quite long; ca. 99 pages.
The first is the hand-written manuscript of the material that Chuck Solbrig and I developed in 1971, and which eventually became this ANCR report in 1975. By the time Chuck got the ANCR drafted I had already fled Camp NRTS. Chuck got in contact with me and I went over to the cubicle maze and we tuned up the draft, including evaluation of one remaining integral.
Development of finite difference approximations for the continuous model equations, and numerical solution methods for these, proceeded along in tantum with development of the continuous equations. Software was built to analysis candiate numerical methods and test-bed codes built to implement the successful methods. Applications of symbolic mathematics by way of the IBM FORMAC system to the FDEs was totally unique at the time. Explicit methods, and calculations, are discussed in this report by Bob Lyczkowski, Bob Grimesey and Chuck Solbrig. More nearly implicit methods and calculations in this report by Bob Narum, Chuck Noble, Glen Mortensen, and Jim McFadden. So far as we know, this report documents the very first calculations of Standard Problem 1 (aka SP#1) by a model and code based on the unequal velocity unequal temperature (UVUT) approach.
This next document was prepared for a Conference presentation and it evolved to become this paper. As I mentioned in this post, Bob Lyczkowski has documented the five-year long, and tortuous, journey that was required in order to get the paper published. The Scholar Google finds over 200 citations to that paper. Checking the citations indicates the extent to which the approach has been adapted by various industries around the world.
Bob has recently completed a book-length expansion of his personal connections with the history of multi-phase computational fluid dynamics. The initial efforts summarized in the documents mentioned above play a critical role in that history.