For laminar flow in a circular pipe, the Hagen-Poiseuille equation gives volumetric flow rate as Q = πΔPd⁴/(128μL). This assumes:
Answer: B
Hagen-Poiseuille equation is valid for incompressible, fully developed laminar flow in circular pipes without entrance effects.
Q.22Easy
Which of the following statements about boundary layers is correct?
Answer: C
Boundary layer develops due to viscous effects that cause velocity gradient near solid surfaces, creating shear stress.
Q.23Medium
In a pitot tube, the stagnation pressure and static pressure are measured. The velocity at the measurement point is:
Answer: A
From Bernoulli's equation applied between static and stagnation points: v = √(2ΔP/ρ)
Q.24Medium
A jet of water impinges on a flat plate perpendicular to its surface. If jet velocity is 10 m/s and jet area is 0.01 m², the force on the plate is approximately:
Answer: C
Force F = ρAv² = 1000 × 0.01 × 10² = 1000 N (using ρ = 1000 kg/m³ for water)
Q.25Easy
For flow through an orifice, the discharge coefficient Cd is always:
Answer: C
Cd < 1 accounts for vena contracta and frictional losses in actual orifice flow compared to ideal flow.
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Q.26Medium
In a U-tube manometer with mercury, if one leg shows 50 mm height difference, the pressure difference is:
Answer: B
ΔP = ρgh = ρ_mercury × 9.81 × 0.05 ≈ 50 × ρ_mercury × g Pa (approximately)
Q.27Medium
For a turbulent flow in pipes, the friction factor f in the Darcy-Weisbach equation depends primarily on:
Answer: B
Friction factor for turbulent flow depends on Re and roughness (ε/d) as shown in Moody diagram.
Q.28Medium
A convergent-divergent nozzle (De Laval nozzle) accelerates gas to supersonic speeds. The throat area compared to exit area is:
Answer: B
In a convergent-divergent nozzle, throat area is smallest and exit area is larger for supersonic flow.
Q.29Medium
The Froude number characterizes the relative importance of:
In open channel flow, the critical depth occurs when:
Answer: B
Critical depth in open channel flow corresponds to Fr = 1, minimum specific energy condition.
Q.31Medium
A pipeline carrying oil (ν = 2 × 10⁻⁴ m²/s) has diameter 0.5 m and velocity 2 m/s. The flow regime is:
Answer: C
Re = vd/ν = (2 × 0.5)/(2 × 10⁻⁴) = 5000 > 4000, so turbulent
Q.32Hard
For a submerged curved vane deflecting a jet, the component of force in the direction of jet is:
Answer: B
Force component = ρQv(1 - cos θ) where θ is deflection angle from momentum equation.
Q.33Medium
The Mach number M = 0.3 indicates:
Answer: B
M < 0.3 indicates incompressible flow approximation is valid; compressibility effects are negligible.
Q.34Medium
For water flow in a pump system, cavitation occurs when:
Answer: B
Cavitation occurs when local pressure drops below fluid vapor pressure, causing vapor bubbles to form.
Q.35Hard
The equivalent length method for minor losses in pipes replaces a fitting with an equivalent length of pipe. For a 90° elbow with diameter 50 mm, typical equivalent length is:
Answer: C
Equivalent length L_e = K × (d/f) ≈ 0.9 × (0.005.02) ≈ 2.25 m for typical elbow
Q.36Hard
In a centrifugal pump, the impeller diameter is doubled while keeping speed constant. The head capacity changes by factor of:
Answer: B
Head H ∝ D²N² at constant N, so head increases by 2² = 4 times
Q.37Easy
For steady flow of an incompressible fluid through a variable area duct, which equation relates velocities at different sections?
Answer: B
Continuity equation for incompressible flow states Q = constant, so A₁v₁ = A₂v₂
Q.38Easy
A fluid undergoes viscous deformation with velocity gradient du/dy = 50 s⁻¹. For Newtonian fluid with μ = 0.1 Pa·s, the shear stress is:
Answer: A
τ = μ(du/dy) = 0.1 × 50 = 5 Pa
Q.39Easy
A fluid with dynamic viscosity μ = 0.8 Pa·s flows between two parallel plates separated by 5 mm. If the velocity gradient is 100 s⁻¹, what is the shear stress in the fluid?
Answer: A
Shear stress τ = μ × (du/dy) = 0.8 × 100 = 80 Pa. This is a direct application of Newton's law of viscosity.
Q.40Easy
Which of the following fluids is classified as non-Newtonian?
Answer: C
Ketchup is a pseudoplastic fluid whose viscosity changes with shear rate. Water, air, and mercury are Newtonian fluids with constant viscosity.