Engr Undergrad Helper

Cheat sheets • Exercises • Fast learning

Engineering Calculators

No fluff—just the equations you actually use in Thermo & Fluids, with sensible units and defaults.

P: kPa, V: m³, n: mol, T: K (R = 0.008314 kPa·m³/mol·K)

Solve for P (kPa) V (m³) n (mol) T (K)

Result–

Mode P₁ (kPa) T₁ (K) P₂ (kPa) k (γ) cₚ (kJ/kg·K) η (0–1)

Ideal T₂s (K)–

Actual T₂ (K)–

w (kJ/kg)–

T₂s = T₁·(P₂/P₁)^(k−1)/k. Compressor: T₂ = T₁ + (T₂s−T₁)/η (work input). Turbine: T₂ = T₁ − η·(T₁−T₂s) (work output).

k (γ) rₚ = P₂/P₁

η_th,ideal–

η = 1 − rₚ^−(k−1)/k

ρ (kg/m³) D (m) V (m/s) μ (Pa·s)

Area A (m²)–

Flow Q (m³/s)–

Re–

Regime–

ρ (kg/m³) Q (m³/s) H (m) η (0–1)

P (kW)–

P = ρ g Q H / η, with g = 9.81 m/s².