[請益] 流體力學-壓縮流問題
小第期中考上的一題,至今仍不得其解
還請大大能提點一番.
感謝!!
A 2D flow in an open canal over a “bump” on its bottom as shown in Figure 1.
(a) (10 points) Write down the governing differential equations for mass and
momentum transport if the flow is non-Newtonian.
Hint: compressible case.
(b) (8 points) Write down the governing differential equations for mass and
momentum transport if the flow is Newtonian (viscosity = μ).
Hint: compressible case.
(c) (12 points) Now, suppose the flow is frictionless (inviscid) and has a
constant density. If the steady-state upstream flow is at speed U0,
and the upstream water depth is H0. The bump's height is , and its length
is L Sketch the surface shape over the bump, and find the mathematical
expression water depth H at the top of the bump.
Hint: first plot the streamline near the bottom to see how
velocity behaves for the inviscid case.
figure1:https://www.dropbox.com/s/abnvgxtkj740gh3/figure1.PNG
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11/20 08:48, , 1F
11/20 08:48, 1F