HTC Correlation Toolbox

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Notation

Symbol	Definition

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The equation is recorded. Required inputs, regimes and validity limits will be added next.

Inlet temperature Outlet temperature Absolute pressure Flow velocity Plate length

Inlet temperature Outlet temperature Absolute pressure Free-stream velocity Leading-edge cylinder diameter (D) Angular position from stagnation point (θ) Inner-cylinder radius (r_i) Radial clearance (Δr) Inner-cylinder rotational speed (ω)

T_bulk and T_solid are calculated automatically. Table 3-3 air properties, Reynolds number and Prandtl number are derived from the entered state.

Inlet temperature Outlet temperature Absolute pressure Rotational speed (omega) Local radius Temperature-distribution exponent (n) Core swirl ratio (XK) Flow regime

T_bulk = (T_in + T_out)/2 and T_solid = 0.95 T_bulk are calculated automatically.

Inlet temperature Outlet temperature Absolute pressure Mass flow rate (ṁ) Duct diameter (D) Hydraulic diameter (D_h) Flow cross-sectional area (A) Heated duct length (L) Inner diameter (D_i) Outer diameter (D_o) Darcy friction factor (f) Heat-transfer wall

Mean velocity is calculated automatically from V = ṁ/(ρA). For methods 2.4 and 2.5, enter the actual flow area because hydraulic diameter alone does not define it. T_bulk, T_solid, air properties, Prandtl and Reynolds are derived automatically. Methods 2.4–2.6 require the Darcy—not Fanning—friction factor.

Inlet fluid temperature Outlet fluid temperature Absolute pressure Surface height (L)

T_bulk = (T_in + T_out)/2, T_solid = 0.95 T_bulk and T_film = (T_bulk + T_solid)/2 are calculated automatically. Air properties, beta, Gr_L, Pr and Ra_L are evaluated automatically.

Inlet temperature Outlet temperature Absolute pressure Rotational speed (omega) Local radius (r) Surface/cone half-angle (theta) Leakage mass-flow rate (W) Number of seal teeth (N)

T_bulk = (T_in + T_out)/2 and T_solid = 0.95 T_bulk are calculated automatically. Density and, for 6.1, viscosity and Re_omega are derived automatically.

Mainstream hot-gas temperature (T_∞) Coolant supply temperature (T_2) Mainstream absolute pressure (P_∞) Coolant absolute pressure (P_2) Mainstream velocity (U_∞) Coolant injection velocity (U_2) Slot height (s) Distance downstream from injection (x) Actual wall temperature (T_w)

Air–air model: density, viscosity, c_p, mass-velocity ratio M_s and coolant Reynolds number Re_2 are calculated automatically. T_bulk and T_solid are not used.

Upstream absolute pressure (P_i) Downstream absolute pressure (P_e) Minimum flow area (A) Inlet total temperature (T_i) Specific gas constant (R) J/kg·K Discharge coefficient (C_dh) Specific-heat ratio (γ) Discharge coefficient (C_D) Fluid density (ρ) kg/m³

Pressure ratio and the labyrinth flow function are calculated automatically. Use absolute—not gauge—pressures. No T_bulk or T_solid value is used in this section.

Engineering output Results

h

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