BundleTec FabricSim™ — Industrial Fabric Expansion Joint Simulator

Multi-Layer Non-Linear Thermal Gradient, Verhoff-Banchero Acid Dew Point & FSA DSJ-401 Kinematics
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Heat Loss (q'') — W/m² Cavity Radiation & Convection
Cold-Face Skin Temp — °C ISO 13732-1 COMPLIANT
PTFE Acid Dew Margin — °C SAFE
FSA CMR Ratio FSA CLASS A
Estimated Fatigue Life — Cycles Manson-Coffin Equation
Min Baffle Clearance — mm CLEAR

Operating & Movement Inputs

Real-time thermodynamic and multi-axis displacement parameters

Flue Gas Temperature (T_gas) 450
Ambient Temperature (T_amb) 20
Cross-Wind Velocity (v_wind) 2.0
Duct Static Pressure (+ Press / - Vacuum) 2.5
Axial Displacement (Δx: Comp - / Ext +) -25
Lateral Shear Displacement (Δy) 20
Angular Deflection (θ, degrees) 1.5
Combustion Fuel Type
Fuel Sulfur Content (%S) 2.00%
Internal Baffle Sleeve (Flow Liner)
SCR DeNOx Catalyst (Elevated SO3 Oxidation)

🔥 Stage 1: Multi-Layer Thermal Gradient & Acid Dew Point

Kirchhoff transformation, Tridiagonal Newton-Raphson & Verhoff-Banchero H2SO4 acid condensation threshold

Temperature Curve Acid Dew Point ISO 13732-1 (60°C)
Inner Heat Coeff (h_i) — W/m²K Fluid film resistance
Outer Heat Coeff (h_o) — W/m²K Natural + Wind convection
2D Flange Thermal Bridge — °C Clamp bar fin dissipation

📐 Stage 2: Kinematic Bellows Physics & Dynamic Clash Detection

Hermite cubic elastica S-curve, Young-Laplace ballooning / vacuum suction collapse & flow liner collision scanning

Composite Fabric Belt (Multi-ply) Refractory Bolster (PEB) AISI 316Ti Baffle Sleeve Steel Duct & Clamping Bars

🧱 Multi-Layer Composite Belt Configurator

Customize thermal bolster, virgin/laminated PTFE gas barriers, and outer protective weather cloth layers

# Material Layer Thickness (mm) Inlet Temp (T_in) Outlet Temp (T_out) Actions

📐 Engineering Standards & Calculation Basis

Analytical equations and empirical benchmarks powering BundleTec FabricSim™

Pillar A: Thermodynamic & Acid Dew Point Engine

1. Temperature-Dependent Conductivity Polynomials: Analytical polynomials $k(T) = a + b T + c T^2$ model Inconel mesh, High-silica fabric, CMS-Bio soluble fiber bolster, RCF ceramic blanket, and PTFE barriers across the thermal range.

2. Analytical Kirchhoff Integral: Solves 1D heat conduction exactly without internal discretization using $\mathcal{I}(T) = a T + \frac{b}{2} T^2 + \frac{c}{3} T^3$.

3. Verhoff-Banchero H2SO4 Dew Point Model: Evaluates $SO_3$ and $H_2O$ partial pressures from combustion stoichiometry to determine sulfuric acid condensation temperature. Flags critical condensation risk if the PTFE barrier operates below this line.

4. ISO 13732-1 Touch Safety: Assesses cold-face temperature against the international 60°C touch threshold for coated fabrics.

Pillar B: Kinematics & Dynamic Clash Engine

1. Rigid Clamping Hermite Spline: Solves non-linear bending under clamped boundary conditions ($y'(0)=0, y'(L)=\tan\theta$) via a cubic Hermite elastica.

2. 5-Point Gauss-Legendre Arc Conservation: Integrates true deformed belt arc length to verify fabric inextensibility and compute slack $\Delta S$.

3. Young-Laplace Pressure Superposition: Simulates outward ballooning under positive pressure and inward collapse under ID fan vacuum draft.

4. Dynamic Clash Detection: Evaluates clearance between the folding fabric envelope and the internal baffle sleeve (flow liner) or flange clamping bolts.

5. FSA DSJ-401/402 CMR & Manson-Coffin Life: Computes the Combined Movement Ratio ($CMR$) and estimates flexural fatigue life ($N_f$).

📋 1-Click B2B EPC Technical Datasheet & Calculation Summary

Official BundleTec engineering datasheet and Bill of Materials (BOM) ready for submission or export

Process & Calculation Summary