Civil Engineering - Hydraulics - Discussion

Discussion Forum : Hydraulics - Section 6 (Q.No. 18)
18.
In two dimensional flow the components of velocity are given by u = ax; v = by. The stream lines will be
circular
parabolic
hyperbolic
elliptical.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
13 comments Page 1 of 2.

Shoaib said:   3 months ago
C. Hyperbolic is the right answer.

Given the velocity components u= ax andv = by, v can derive the streamlines.

The equation for streamlines in 2D flow is dy/dx = v/u = by/ax.

Solving this, we get xy = constant, which represents hyperbolas.

Marcia said:   2 years ago
2D flows are represented by a curve (parabolic).

Nabin said:   4 years ago
Equation of streamline is given by:

udy " vdx = 0

(\frac{{dx}}{u} = \frac{{dy}}{v} \Rightarrow \frac{{dx}}{{ax}} = \frac{{dy}}{{by}} \Rightarrow b\frac{{dx}}{x} = a\frac{{dy}}{y}\)

Integrating both sides:

b ln x = a ln y + C
ln xb = ln ya + C
ln xb - ln ya = C
(ln \frac{{{x^b}}}{{{y^a}}} = c\)
xby-a = C1
which is hyperbolic arcs.
(1)

ALI EJAZ said:   5 years ago
It should be PARABOLIC.

Suri bhai said:   5 years ago
Yes, parabolic is right.

Zara said:   6 years ago
I think we have to integrate u and v wrt x and y to get stream function and the equation obtained is a second degree which means parabolic.

Aryan said:   6 years ago
Parabolic is right.

Ref: R.S Khurmi.

Sajith said:   7 years ago
Please explain this.

Govind said:   7 years ago
Which is the correct option B or C?

Shiva said:   8 years ago
Which one is correct? Explain.


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