course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Fluid Dynamics |
IB |
21 |
|
Paper 1, Section II, D |
2009 |
A canal has uniform width and a bottom that is horizontal apart from a localised slowly-varying hump of height
where
Describe qualitatively how
$$\begin{array}{ll} \text { (i) } F<1 & \text { and } D_{\max }<D^{} \ \text { (ii) } F>1 & \text { and } D_{\max }<D^{} \ \text { (iii) } \quad D_{\max } & =D^{*}, \end{array}$$
where
Calculate the water depth far downstream in case (iii) when