課程名稱︰波浪力學
課程性質︰選修
課程教師︰譚義績、許銘熙、張倉榮、黃宏斌合開
開課學院：
開課系所︰生工系
考試日期（年月日）︰99/06/11
考試時限（分鐘）：150
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
波浪力學
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.
※ 編輯: PTIC 來自: 140.112.7.59 (06/17 19:51)