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2차원 초공동 유동의 중력과 자유표면 효과에 대한 수치해석

A Numerical Analysis of Gravity and Free Surface Effects on a Two-Dimensional Supercavitating Flow

이현배|김형태
대한조선학회 (The Society Of Naval Architects Of Korea)|2014.10|대한조선학회 논문집 (Journal of the Society of Naval Architects of Korea)|제51권 제5호|pp. 435-449

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참고문헌

키워드

공동항력CavityDrag초공동 유동Supercavitating flows자유표면효과Froude 수Free surface effectFroude No.
주제분류조선공학

초록

The effects of the gravity field and the free surface on the cavity shape and the drag are investigated through a numerical analysis forthe steady supercavitating flow past a simple two-dimensional body underneath the free surface. The continuity and the RANSequations are numerically solved for an incompressible fluid using a k-ε turbulence model and a mixture fluid model has been appliedfor calculating the multiphase flow of air, water and vapor using the method of volume of fluid and the Schnerr-Sauer cavitation model. Numerical solutions have been obtained for the supercavitating flow about a two-dimensional 30°wedge in wide range of depths ofsubmergence and inflow velocities. The results are presented for the cavity shape, especially the length and the width, and the drag ofthe wedge in comparison with those of the case for the infinite fluid flow neglecting the gravity and the free surface. The influences ofthe gravity field and the free surface on the aforementioned quantities are discussed. The length and the width of the supercavity arereduced and the centerline of the cavity rises toward the free surface due to the effects of the gravity field and the free surface. Thedrag coefficient of the wedge, however, is about the same except for shallow depths of submergence. As the supercavitating wedge isapproaching very close to the free surface, it is found the length and the width of a cavity are shorten even though the cavitationnumber is reduced. Also the present result suggests that, under the influence of the gravity field and the free surface, the length of thesupercavity for a certain cavitation number varies and moreover is proportional to the inverse of the submergence depth Froudenumber.

Abstract

The effects of the gravity field and the free surface on the cavity shape and the drag are investigated through a numerical analysis forthe steady supercavitating flow past a simple two-dimensional body underneath the free surface. The continuity and the RANSequations are numerically solved for an incompressible fluid using a k-ε turbulence model and a mixture fluid model has been appliedfor calculating the multiphase flow of air, water and vapor using the method of volume of fluid and the Schnerr-Sauer cavitation model. Numerical solutions have been obtained for the supercavitating flow about a two-dimensional 30°wedge in wide range of depths ofsubmergence and inflow velocities. The results are presented for the cavity shape, especially the length and the width, and the drag ofthe wedge in comparison with those of the case for the infinite fluid flow neglecting the gravity and the free surface. The influences ofthe gravity field and the free surface on the aforementioned quantities are discussed. The length and the width of the supercavity arereduced and the centerline of the cavity rises toward the free surface due to the effects of the gravity field and the free surface. Thedrag coefficient of the wedge, however, is about the same except for shallow depths of submergence. As the supercavitating wedge isapproaching very close to the free surface, it is found the length and the width of a cavity are shorten even though the cavitationnumber is reduced. Also the present result suggests that, under the influence of the gravity field and the free surface, the length of thesupercavity for a certain cavitation number varies and moreover is proportional to the inverse of the submergence depth Froudenumber.

참고문헌 (57)

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