Govt. Exams
Entrance Exams
Re = vd/ν = (2 × 0.5)/(2 × 10⁻⁴) = 5000 > 4000, so turbulent
Fr = v/√(gL) compares inertial forces (ρv²) with gravitational forces (ρgL).
In a convergent-divergent nozzle, throat area is smallest and exit area is larger for supersonic flow.
Friction factor for turbulent flow depends on Re and roughness (ε/d) as shown in Moody diagram.
ΔP = ρgh = ρ_mercury × 9.81 × 0.05 ≈ 50 × ρ_mercury × g Pa (approximately)
Force F = ρAv² = 1000 × 0.01 × 10² = 1000 N (using ρ = 1000 kg/m³ for water)
From Bernoulli's equation applied between static and stagnation points: v = √(2ΔP/ρ)
Major losses or friction losses occur due to wall shear stress and account for the majority of energy dissipation in long straight pipe sections. This is captured by the Darcy friction factor.
Venturi meter uses both continuity equation (conservation of mass) and Bernoulli's equation (energy conservation) to relate pressure difference to flow velocity.
Weber number We = ρV²D/σ represents the ratio of inertial to surface tension forces. It's important in two-phase flows and atomization studies.