课程名称︰波浪力学 课程性质︰选修 课程教师︰谭义绩、许铭熙、张仓荣、黄宏斌合开 开课学院： 开课系所︰生工系 考试日期（年月日）︰99/06/11 考试时限（分钟）：150 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 波浪力学 WAVE MECHANICS 622 U4750 Final Examination (Open book, 2 hours) 1. Please write down and explain the physical meaning of the velocity potential , stream function and water surface elevation of progressive waves and standing waves, respectively. 2. Please write down and describe the physical meaning of the continuity equation, momentum equation, wave equation and wave celerity. 3. What is the physical reason that the pressure is hydrostatic under the nodes of a standing wave (to first order in wave height)? 4. Show from the continuity equation, ∂u ∂v ∂w ── + ── + ── = 0 ∂x ∂y ∂z that the vertical velocity W(z) under a long wave varies linearly with depth and can be expressed as Dη ∂U ∂V W() = ── + (η-z)(── + ──) Dt ∂x ∂y if U and V are assumed to be independent of depth. 5. Determine the water surface elevation of a long standing wave in an estuary with linearly increasing depth and constnat width. What assumptions have been made? h = ho at x = L, the mouth of the estuary. ※ 编辑: PTIC 来自: 140.112.7.59 (06/17 19:51)