For laminar flow of a viscous fluid between two parallel plates, the velocity profile is:
Answer: B
For laminar flow between parallel plates (Poiseuille flow), the velocity profile is parabolic due to the balance between pressure gradient and viscous forces.
Q.12Easy
Which dimensionless number is used to characterize the ratio of inertial forces to viscous forces in fluid flow?
Answer: B
Reynolds number (Re = ρVD/μ) represents the ratio of inertial to viscous forces and determines the flow regime (laminar, transitional, or turbulent).
Q.13Easy
Which of the following pump types operates on the principle of positive displacement with rotating screws?
Answer: C
Screw pumps (Archimedean screw or progressive cavity pumps) use rotating screws for positive displacement. They are used for high viscosity fluids.
Q.14Easy
In a U-tube manometer measuring differential pressure, if one side contains mercury (ρ = 13600 kg/m³) with a height difference of 250 mm, what is the differential pressure?
Answer: B
ΔP = ρ_mercury × g × h = 13600 × 9.81 × 0.25 = 33,324 Pa ≈ 33.3 kPa
Q.15Easy
The relative roughness of a pipe is defined as:
Answer: B
Relative roughness ε/D = (absolute roughness)/(pipe diameter). This dimensionless parameter determines flow behavior in the Moody chart for turbulent flow calculations.
Q.16Easy
A centrifugal pump operates with water (ρ = 1000 kg/m³) at an impeller diameter of 0.3 m and rotational speed of 1500 RPM. Calculate the peripheral velocity at the impeller tip.
Answer: A
Peripheral velocity = π × D × N / 60 = π × 0.3 × 601500 = 23.56 m/s
Q.17Easy
In laminar flow through a circular pipe, the velocity profile is parabolic. What is the ratio of average velocity to maximum velocity at the centerline?
Answer: B
For laminar flow in circular pipes, v_avg = v_max/2, so the ratio is 0.5
Q.18Easy
Which dimensionless number characterizes the relative importance of inertial forces to viscous forces in fluid flow?
Answer: B
Reynolds number (Re = ρVD/μ) represents the ratio of inertial to viscous forces
Q.19Easy
In a reciprocating pump with piston diameter D = 0.1 m and stroke length L = 0.2 m operating at 60 RPM, calculate the theoretical displacement per revolution.
Answer: A
Displacement = π/4 × D² × L = π/4 × (0.1)² × 0.2 = 0.00157 m³ per revolution
Q.20Easy
A fluid flows through a circular pipe of diameter 50 mm at a velocity of 2 m/s. If the kinematic viscosity is 1×10⁻⁵ m²/s, calculate the Reynolds number and identify the flow regime.
Answer: A
Reynolds number = (ρVD)/μ = VD/ν = (2 × 0.05)/(1×10⁻⁵) = 10,000. Flow is turbulent for Re > 4,000.