What is the ratio of the velocity at the axis of the pipe to the mean velocity of flow in case of pipe flow under viscous condition ?

Related Mcqs:

1. 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)...

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. The ratio of average fluid velocity to the maximum velocity in case of laminar flow of a Newtonian fluid in a circular pipe is_____________________?

   A. 0.5 B. 1 C. 2 D. 0.66...

4. The velocity profile exhibited by laminar flow of Newtonian fluids is such that the velocity distribution w.r.t. radius of the circular pipe is a/an ______________ with the apex at the centre line of the pipe?

   A. Hyperbola B. Parabola C. Semi-circle D. Semi-ellipse...

5. For turbulent flow in smooth circular pipe, the velocity distribution is a function of the distance ‘d’ measured from the wall of the pipe and the friction velocity ‘v’, and it follows a _____________ relationship?

   A. Logarithmic B. Linear C. Hyperbolic D. Parabolic...

6. A fluid (μ/ρ) = 0.01 cm2/sec is moving at critical flow condition (NRe = 2100) through a pipe of dia 3 cms. Velocity of flow is _______________ cm/sec?

   A. 7 B. 700 C. 7000 D. 630...

7. What is the shear rate at the pipe wall, in case of laminar flow of Newtonian fluids in a pipe of diameter ‘D’ & length ‘L’ incurring a pressure drop ‘Δp’ with average velocity ‘Vavg’ ?

   A. D Δp/8L B. D Δp/4L C. 8 Vavg/D D. 4 Vavg/D...

8. The energy loss over a length of pipeline according to Darcy-Weisbach equation for pipe flow is _______________ the mean velocity of flow?

   A. Directly proportional to B. Directly proportional to square of C. Inversely proportional to D. Inversely proportional to square of...

9. In case of turbulent flow of a Newtonian fluid in a straight pipe, the maximum velocity is equal to (where, Vavg = average fluid velocity)?

   A. Vavg B. 1.2 Vavg C. 1.5 Vavg D. 1.8 Vavg...

10. In case of hydraulically smooth pipe, the resistance to flow depends only on the Reynolds number, whereas for a hydraulically rough pipe, the resistance to flow is governed by the relative roughness. Two pipes are said to have the same hydraulic roughness, when they have equal values of___________________?

    A. Relative roughness B. Absolute roughness C. Friction co-efficient for flows at equal Reynold number D. All A., B. & C....