For turbulent flow of an incompressible fluid through a pipe, the flow rate „Q‟ is proportional to (Δ P)n, where ΔP is the pressure drop. The value of exponent ‘n’ is_________________?

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. 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

3. In a fully turbulent flow (Re > 105) in a pipe of diameter ‘d’, for a constant pressure gradient, the dependence of volumetric flow rate of an incompressible fluid is_______________?

   A. d
   B. d2
   C. d2.5
   D. d4

4. For laminar flow of Newtonian fluids through a circular pipe, for a given pressure drop and length & diameter of pipe, the velocity of fluid is proportional to (where, μ = fluid viscosity ) ?

   A. μ
   B. 1/μ
   C. √μ
   D. 1/√μ

5. A pipe has a porous section of length L as shown in the figure. Velocity at the start of this section of V0. If fluid leaks into the pipe through the porous section at a volumetric rate per unit area q(x/L)2, what will be axial velocity in the pipe at any „x‟? Assume incompressible one dimensional flow i.e., no gradients in the radial direction ?

   A. VX = V0 + q (x3/L2D)
   B. VX = V0 + ⅓q (x3/L2)
   C. VX = V0 + 2q (x2/LD)
   D. VX = V0 + (4/3) q (x3/L2D)

6. Applying a pressure drop across a capillary results in a volumetric flow rate ‘Q’ under laminar flow conditions. The flow rate for the same pressure drop, in a capillary of the same length but half the radius is____________________?

   A. Q/2
   B. Q/4
   C. Q/8
   D. Q/16

7. The head loss in turbulent flow in pipe is proportional to(where, V = velocity of fluid through the pipe) ?

   A. V2
   B. 1/V2
   C. 1/V
   D. V

8. Pressure drop (Δp) for a fluid flowing in turbulent flow through a pipe is a function of velocity (V) as___________________?

   A. V1.8
   B. V-0.2
   C. V2.7
   D. V2

9. Pressure drop for turbulent fluid flow through a circular pipe is given by_________________?

   A. 64/Re
   B. 32μLV/gc.D2
   C. 4f (L/D) (v2/2gc). ρ
   D. f (L/D) (v2/2gc). ρ

10. The fluid velocity varies as the square root of the cylindrical pipe diameter in case of steady state laminar flow at constant pressure drop of _____________ fluid?

    A. Dilatent
    B. Pseudo-plastic
    C. Bingham plastic
    D. Newtonian