Free Surface, Velocity Gradient Flow Past Hemisphere

by Gordon H. Flammer, (M.ASCE), Prof. of Hydr. Engrg.; Utah State Univ., Logan, UT,
J. Paul Tullis, (M.ASCE), Asst. Professor of Civil Engineer; Colorado State Univ., Fort Collins, CO,
Earl S. Mason, (A.M.ASCE), Assoc. Prof. of Civ. Engrg.; Univ. of North Dakota, Grand Forks, ND,

Serial Information: Journal of the Hydraulics Division, 1970, Vol. 96, Issue 7, Pg. 1485-1502

Document Type: Journal Paper


The drag on a hemisphere in a finite-flow field with free surface effects is evaluated by successively studying six flow fields, which allows the study of one new variable at a time. These flow fields are: the semi-infinite uniform and nonuniform flow fields, the finite uniform and nonuniform flow fields without free surface effects, and the finite uniform and nonuniform flow fields with free surface effects. Three regimes of flow are defined for the hemisphere which are: (1) A regime of pronounced free surface effects, (2) a regime of moderate free surface effects, and (3) a regime of negligible free surface effects. The effect of these variables and range of conditions under which they are effective is considered.

Subject Headings: Nonuniform flow | Free surfaces | Overland flow | Free flow | Field tests | Uniform flow | Fluid velocity | Drag (fluid dynamics)

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