Some Reduced-dimension Models Based on Numerical Methods
نویسندگان
چکیده
In uid ow problems understanding frequently is attained by studying very simpliied models. This paper presents a systematic way of generating such models, the techniques involved are inspired by numerical analysis. First we illustrate the process by constructing a simple model of Rayleigh-B enard convection which gives a remarkably good estimate of the critical Rayleigh number and the corresponding roll size. We also examine a model which helps explain the formation of shocks in creaming or sedimenting colloids. Finally we discuss two models of droplet break oo which are in excellent agreement with experiment and have played a role in the study of cascading instabilities which can occur near snap oo.
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