Forced-convection sizing comes down to one question: what is the heat transfer coefficient h? These six tools answer it for the classic external and internal geometries, using the standard engineering correlations with real fluid properties evaluated by an embedded CoolProp property database.
What's in this suite
- Flat Plate — Isothermal — average h and heat rate for a plate in free-stream flow; switches automatically between laminar and mixed laminar–turbulent regimes at ReL=5×105.
- Cylinder Cross-Flow — Isothermal — Hilpert's correlation with Reynolds-banded constants, from Re = 0.4 to 400 000.
- Square Rod Cross-Flow — Isothermal — the square-prism variant (C = 0.102, n = 0.675, face normal to flow).
- Fully-Developed Tube Flow — Nu=4.36 in laminar flow; the Gnielinski correlation for 2300≤Re<5×106.
- Developing Tube Flow — combined-entry-length treatment from an abrupt square entry, bridging to the fully-developed limit.
- PCB Component Array — case temperature of surface-mounted components in a forced-air channel, using Will's correlation (h=Gum0.8) with local air-temperature rise, fin efficiency and interface resistance.
Method
All external-flow tools follow the same chain. Fluid properties are evaluated at the film temperature
Tf=2Ts+T∞then the Reynolds number fixes the regime, a Nusselt correlation of the form
Nu=CRenPr1/3gives the dimensionless coefficient, and h=Nu⋅k/L converts it back to W/m²·K. The heat rate is Q=hA(Ts−T∞). Internal-flow tools use the bulk-to-wall film temperature and, in the turbulent range, the friction-factor-based Gnielinski form, accurate to roughly ±10% over its stated range.
Assumptions
Uniform surface temperature, uniform free stream, smooth surfaces. Correlations are empirical fits — expect ±10–25% agreement with measurement depending on geometry and Reynolds range. Sources: Holman, Heat Transfer (1990); Incropera & DeWitt, Fundamentals of Heat and Mass Transfer.