[ St = \fracf_w \cdot dV ]
[ f_n = \frac\lambda^22\pi L^2 \sqrt\fracEIm ] thermowell wake frequency calculation
Industry standards (ASME PTC 19.3 TW) require: [ f_w \le 0.8 f_n \quad \textor \quad f_w \ge 1.2 f_n ] (i.e., at least 20% separation margin) Step 1: Gather Input Data | Parameter | Symbol | Typical Value | |-----------|--------|----------------| | Fluid density | ρ | 1000 kg/m³ (water) | | Fluid velocity | V | 5 m/s | | Tip diameter | d_tip | 0.025 m (1 inch) | | Root diameter | d_root | 0.038 m (1.5 inch) | | Unsupported length | L | 0.15 m | | Thermowell material | - | 316 SS | | Modulus of elasticity | E | 193 GPa | | Material density | ρ_m | 8000 kg/m³ | Step 2: Calculate Reynolds Number [ Re = \frac\rho V d_tip\mu ] (μ = dynamic viscosity; for water at 20°C ≈ 1e-3 Pa·s) [ St = \fracf_w \cdot dV ] [