All forms of Continuity Equation - Quiz Session Starter Quiz

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Question 1

Consider the following statements in respect of two-dimensional incompressible flow with velocity components u and v in x and y directions respectively :
1) The continuity equation is
2) The acceleration in x-direction is
3) The condition of irrotationality is
4) The equation of a streamline is
Which of these statements are correct?

• A2 and 3 only
• B1 and 2 only
• C1, 2 and 3
• D3 and 4

Question 2

Which of the following equations are used for the derivation of the differential equation for water surface profile in open channel flow?
1) Continuity Equation
2) Energy Equation
3) Momentum Equation
Select the correct answer using the codes given below:

• A1, 2 and 3
• B1 and 3 only
• C1 and 2 only
• D2 and 3 only

Question 3

On which principle equation of continuity is based?

• AConservation of energy
• BConservation of mass
• CConservation of momentum
• DAll option are correct

Question 4

The velocity potential which follow the equation of continuity is _____.

• Ax²y
• Bx²-y²
• Ccos x
• Dx²+y²

Question 5

Euler’s Equation of motion

• Ais applicable to any fluid
• Bconsiders gravity and viscous forces on a real fluid
• Cconsiders gravity and pressure forces on an inviscid fluid
• Dconsiders only viscous forces on a real fluid

Question 6

Air flowa with a uniform velocity in apipe with the velocities measured along the centerline at 40 cm increments as shown in figure. If the density of air at point 2 is 1.2 , the density gradient at point 2 is ______.

• A0.3
• B0.5
• C0.8
• D0.9

Question 7

The integral momentum equation requires the following assumption in the flow:

• AUniform
• BIncompressible
• CUni-directional
• DSteady

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