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J. KIMS Technol > Volume 18(1); 2015 > Article
Journal of the Korea Institute of Military Science and Technology 2015;18(1):31-36.
DOI: https://doi.org/10.9766/KIMST.2015.18.1.031   
Analytical Solution of Non-dimensional Turbulent Kinetic Energy Distribution Function in the Turbulnet Wake behind a Submarine
YongChol Lee
Division of Science, Korea Naval Academy
잠수함 난류항적 기술을 위한 무차원 난류 에너지 분포함수 B(ξ) 예측
이용철
해군사관학교 교수부 이학처
Abstract
To describe turbulent wake behind a submarine, it is very important to know turbulent kinetic energy distributions in the wake. To get the distribution is to solve the turbulent kinetic energy equation, and to solve the equation, it is needed both information of ${lambda}$ and ${sigma}$ which define physical characteristics of the wake. This paper gives analytical solution of the equation, which is driven from $8^{th}$ order polynomial fitting, as a function of given ${lambda}$, even though there is no information of ${sigma}$. In comparison between numerical solution(i.e. exact solution) and analytical solution, the relative errors between them are less than to 5% in the range of 0 < ${xi}$ < 0.95 in most given ${lambda}$.
Key Words: Submarine's Turbulent Wake, Turbulent Kinetic Energy Distribution Fuction
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