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Universal BC Calculator

Flow Parameters
∿ Enter parameters and calculate boundary conditions
Freestream Conditions
≈ Calculate compressible freestream relations
Internal Flow Spec
⊚ Evaluate internal flow development and pressure drop
Thermal Specs
♨ Evaluate thermal boundary layers and Nusselt correlations
Turbulence Scales (k-ε / k-ω)
I = 0.16 × Re-1/8
l = 0.07 × Dh
k = 1.5 × (U × I)2
ε = Cμ0.75 × k1.5 / l
ω = k0.5 / (Cμ0.25 × l)

Constants: Cμ = 0.09
Isentropic Compressible Relations
a = √(γ R T)
P0 = P × (1 + 0.5(γ-1)Ma2)γ/(γ-1)
T0 = T × (1 + 0.5(γ-1)Ma2)

Air: γ = 1.4, R = 287 J/(kg·K)
Internal Flow / Pressure Drop
Lh,lam = 0.06 × Re × D
Lh,turb = 4.4 × Re1/6 × D
ΔP = f × (L/D) × (ρU2/2)

f evaluated via Colebrook-White equation
Dittus-Boelter Heat Transfer
Nu = 0.023 × Re0.8 × Prn
h = Nu × kfluid / Dh

n = 0.4 for heating fluid, 0.3 for cooling.
Valid for Re > 10,000 and 0.6 < Pr < 160.
Fluid Properties
Fluids are assumed to be Newtonian, single-phase, and non-reacting. Custom inputs override standard temperature-dependent properties. For compressible flow, Air is treated as an ideal gas with constant specific heats (Calorically Perfect).
Turbulence Initialization
The empirical correlation I = 0.16 Re^(-1/8) is intended for fully developed pipe flow. For external aerodynamics, a lower freestream turbulence (0.1% - 1%) is usually more appropriate unless grid turbulence is present.
Solver Conventions
OpenFOAM: Expects explicit k, ε, ω values in standard SI units. Fluent/STAR: UI usually abstracts this by accepting Intensity and Length Scale directly, though providing explicit turbulent viscosity ratios can aid initial convergence.
Thermal Limitations
The Dittus-Boelter equation is a simplified correlation. It loses accuracy for liquid metals (Pr << 1) or highly viscous oils (Pr >> 160), and does not account for massive property variations across the boundary layer.