Investigation of Turbulent Wall Jets over Logarithmic Spiral Surfaces : 1st Report, Development of Jets and Similarity of Velocity Profile

概要

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In fully developed turbulent wall jets over logarithmic spiral surfaces, the similarity of velocity profile is discussed analytically and equation of motion for jet region is numerically solved. These results are compared with experimental results, and it is concluded that : (1) for any logarithmic spiral surface, non-dimensional velocity profiles of jet region are strictly similar to those of a two-dimensional free jet; (2) non-dimensional velocity profiles of wall region are similar to one another in a certain renge of Reynolds numbers, and these are not expressed by 1/n-power law; (3) the growth of jet width, the decrease of maximum velocity and the thickness ratio of wall region to jet region vary with the characteristic value of logarithmic spiral ; and (4) there is limitation of the logarithmic spiral surface over which a fully developed wall jet can be obtained.