The continuity equation in ideal fluid flow states that__________________?

Related Mcqs:

1. Bernoulli’s equation for fluid flow is derived following certain assumptions. Out of the assumptions listed below, which set of assumptions is used in derivation of Bernoulli’s equation? A. Fluid flow is frictionless & irrotational. B. Fluid flow is steady. C. Fluid flow is uniform & turbulent. D. Fluid is compressible. E. Fluid is incompressible ?

   A. A, C, D
   B. B, D, E
   C. A, B, E
   D. A, D, E

2. Which of the following must be followed by the flow of a fluid (real or ideal)? (I) Newton’s law of viscosity. (II) Newton’s second law of motion. (III) The continuity equation. (IV) Velocity of boundary layer must be zero relative to boundary. (V) Fluid cannot penetrate a boundary?

   A. I, II, III
   B. II, III, V
   C. I, II, V
   D. II, IV, V

3. For one dimensional flow of an incompressible fluid in unsteady state in x-direction, the continuity equation is given by_______________?

   A. ∂u/∂x = 0
   B. ∂(ρu)/∂x = 0
   C. (∂u/∂x) = – (∂ρ/∂t)
   D. ∂ρ/∂t = 0

4. For steady ideal fluid flow, the Bernoulli’s equation states that the_________________?

   A. Velocity is constant along a stream line
   B. Energy is constant throughout the fluid
   C. Energy is constant along a stream line, but may vary across stream lines
   D. None of these

5. In which type of fluid flow, the velocity of flow of fluid changes from point to point in the fluid at any instant ?

   A. Rotational
   B. Unsteady
   C. Turbulent
   D. Non-uniform

6. The continuity equation of fluid mechanics utilises the principle of conservation of _________________?

   A. Momentum
   B. Mass
   C. Energy
   D. Both B. & C.

7. In case of unsteady fluid flow, conditions & flow pattern change with the passage of time at a position in a flow situation. Which of the following is an example of unsteady flow ?

   A. Discharge of water by a centrifugal pump being run at a constant rpm
   B. Water flow in the suction and discharge pipe of a reciprocating pump
   C. Water discharge from a vertical vessel in which constant level is maintained
   D. Low velocity flow of a highly viscous liquid through a hydraulically smooth pipe

8. The pressure drop per unit length of pipe incurred by a fluid ‘X’ flowing through pipe is Δp. If another fluid ‘Y’ having both the specific gravity & density just double of that of fluid ‘X’, flows through the same pipe at the same flow rate/average velocity, then the pressure drop in this case will be__________________?

   A. Δp
   B. 2Δp
   C. Δp2
   D. Δp/2

9. For the laminar flow of a fluid in a circular pipe of radius R, the Hagen-Poisseule equation predicts the volumetric flow rate to be proportional to____________________?

   A. R
   B. R2
   C. R4
   D. R0.5

10. A Newtonian fluid is that__________________?

    A. Which follows Newton’s law of motion
    B. Which needs a minimum shear, before it starts deforming
    C. For which shear & deformation are related as T = μ (∂u/∂y)
    D. None of these