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.