Abstract
The authors propose the following similarity law which is expected to hold for generation channel section of high-performance nonequilibrium disk MHD generator. From a generation channel with a certain thermal input, a generation channel with n times thermal input and almost same performance can be derived by similarly changing the size by a factor √n and also changing the seed fraction by a factor 1√n in comparison with their original ones. The proposed similarity law is, at first, theoretically verified using the two-dimensional basic equations of the working plasma and its approximate validity is successfully demonstrated. Next, the law is verified numerically by two-dimensional time-dependent simulations. The already designed generation channel with 100 MW thermal input is adopted as the original channel and two generation channels with 25 and 400MW thermal input are derived from the original one according to the similarity law. The numerically obtained distributions are similar and performance is almost same for these three channels, indicating that the similarity law holds in high accuracy.
