Govt. Exams
Entrance Exams
Peripheral speed = πDN/60 = π × 0.3 × 1500/60 = 23.56 m/s
Pressure drop (Δp) is proportional to friction factor which increases with pipe roughness. From Hagen-Poiseuille and Darcy equations, rougher pipes cause higher friction losses.
Reynolds number (Re) = inertial forces/viscous forces. It is the fundamental dimensionless number in fluid mechanics.
Reynolds number = (ρVD)/μ = VD/ν = (2 × 0.05)/(1×10⁻⁵) = 10,000. Flow is turbulent for Re > 4,000.
Displacement = π/4 × D² × L = π/4 × (0.1)² × 0.2 = 0.00157 m³ per revolution
Reynolds number (Re = ρVD/μ) represents the ratio of inertial to viscous forces
For laminar flow in circular pipes, v_avg = v_max/2, so the ratio is 0.5
Peripheral velocity = π × D × N / 60 = π × 0.3 × 1500 / 60 = 23.56 m/s
Relative roughness ε/D = (absolute roughness)/(pipe diameter). This dimensionless parameter determines flow behavior in the Moody chart for turbulent flow calculations.
ΔP = ρ_mercury × g × h = 13600 × 9.81 × 0.25 = 33,324 Pa ≈ 33.3 kPa