Numerical Study of Dip Formation Using Sink Array Model

Min-Joon Kim ()
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Min-Joon Kim: Physics Department, Korea Advanced Institute of Science and Technology, Daeduk Science Town, 305-701, Korea

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 06, 1249-1262

Abstract: We studied dip formation phenomena in a draining water tank using the model of sink arrays. As the parameter for the drain sizerincreases, the effective Froude numberFeffis found to decrease according toFeff/F=r-∊whereFis the Froude number defined asF=q0/[2π(gh3)1/2]and∊is a constant. Here,q0is the total sink strength,his the submerged depth of the sink array, andgis the gravitational acceleration. ForF=0.286, ∊ is found to be∊ ≈ 0.44. The implications of the results are discussed.

Keywords: Free Surface; Dip Formation; Sink Array Model; Drain Size Effect; Spectral Method (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197001119

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