Consider the following parameters related to fluid flow:
1. Vorticity
2. Velocity potential
3. Stream function
Among these, those which exist both in rotational flows and irrotational flows would include
The Toricelli theorem gives velocity of jet as
The basic principles of fluid flow are
1. conservation of mass
2. conservation of energy
3. conservation of momentum
Which of these statements are correct?
The mean velocities at two ends of a stream tube 10 cm apart are 2.5 m/s and 3 m/s. The convectional tangential acceleration mid-way is
Convectional tangential acceleration is given by
= 13.75 m/sec2
The flow of water in a wash hand basin when it is being emptied through a central opening, is an example of
Free vortex flow is irrotational flow and total head (energy) remains constant throughout flow field.
Given the x - component of the velocity u = 6xy - 2x2, the y-component of the flow velocity is given by:
The flow must satisfy continuity equation,
Which one of the following represents two dimensional rotational flow?
For rotational flow,
So
If flow velocity in x and y directions are given by u = 2x + 3y and v = - 2y. The circulation around the circle of radius 2 unit will be
u = 2x + 3y
v = - 2y
vorticity = 2 x rotational velocity
= - 3
circulation = vorticity x area
Match List-I (stream line pattern) with List-II (type of acceleration) and select the correct answer using the code given below the lists:
Codes:
A stream function is given by, ψ = 2x2y + (x + 1 )y2. The flow rate across a line joining points A(3, 0) and B(0, 2) is
∴ Q = |0 - 4I = 4 units.
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