For the following questions answer them individually
The velocity potential function is given by an expression $$\psi = -\frac{xy^3}{3} - x^2 + \frac{x^3y}{3} + y^2$$ The velocity component in X-direction is:
(a) $$xy^2 - \frac{x^3}{3} - 2y$$
(b) $$\frac{y^3}{3} + 2x - x^2y$$
(c) $$3x^2y + 2x - xy^2$$
(d) $$x^3y^2 + 2x^2 - y^2x$$
In an experiment, the following shear stress-time rate of shear Strain values are obtained for a fluid:
Time rate of shear strain (1/s): 023 4
Shear stress (kPa) : 0 1.4 2.6 4
How can the fluid be classified?
Consider the following statements regarding a pathline in fluid flow
1. A path line is a line traced by a single particle over a time interval.
2. A path line showsthe positions of the sameparticle at successive time instants.
3. A path line showsthe instantaneous positions of a number ofparticles, passing through a common point, at some previous time instants.
Which of the statements given above are correct?
