Question

The following are the velocity profiles of a flow over a boundary. Match the following
A. $\frac{u}{U}=\frac{2y}{\delta }-{\left(\frac{y}{\delta }\right)}^2$

B. $\frac{u}{U}=-\frac{2y}{\delta }+{\left(\frac{y}{\delta }\right)}^3+{\left(\frac{y}{\delta }\right)}^4$

C. $\frac{u}{U}=2{\left(\frac{y}{\delta }\right)}^2+{\left(\frac{y}{\delta }\right)}^3-2{\left(\frac{y}{\delta }\right)}^4$

1. On the verge of separation

2. Attached flow

3. Detached flow

• A. $A-1,B-2,C-3$
• B. $A-2,B-3,C-1$
• C. $A-3,B-1,C-2$
• D. None of these

Answer 1

The correct option is B $A-2,B-3,C-1$

Find $\frac{du}{dy}{|}_{y=0}$

(+) value means $\to$ attached flow

(-) value means $\to$ detached flow

(0) value means $\to$ on the verge of separation