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How this tool works

The workbench separates nine common thermodynamics models into focused tabs with live reference diagrams.

Every numerical field is safety-clamped before calculation and rendering.

Core equations

ideal gas: PV = nRTsensible heat: Q = mcΔTthermal expansion: ΔL = αL₀ΔTCarnot efficiency: η = 1 − T_C/T_Hentropy: ΔS = Q_rev/T or mc ln(T₂/T₁)layered conduction: R_total = ΣL/(kA)thermal radiation: P = εσAT⁴phase change: Q = mcΔT + mL

Assumptions

  • Temperatures used in gas, engine, entropy, and radiation equations are absolute temperatures.
  • Material properties are treated as constant over each selected interval.
  • Conduction is one-dimensional and steady-state with perfect layer contact.
  • Blackbody calculations use the graybody approximation with wavelength-independent emissivity.

Limitations

  • Real gases, transient conduction, convective correlations, detailed spectral emissivity, and multi-phase equilibrium are outside the current models.
  • Results are educational estimates and are not safety-critical design certification.