PALIFormula Library

Formula Library

Browse 1305 engineering equations across 12 domains. Includes Eurocode (EN), DIN standards, and fundamental engineering formulas.

Standards:
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1305 equations found

Otto Cycle Heat Input

MECHANICALengine_cycles
Verified
qin=cv(T3−T2)q_{in} = c_{v} (T_{3} - T_{2})

Otto Cycle Isentropic Expansion (T4)

MECHANICALengine_cycles
Verified
T4=T3⋅1rγ−1T_{4} = T_{3} \cdot \frac{1}{r^{\gamma - 1}}

Brayton Cycle Thermal Efficiency

AEROSPACEgas_turbine
Verified
ηBrayton=1−1rp(γ−1)/γ\eta_{Brayton} = 1 - \frac{1}{r_{p}^{(\gamma-1)/\gamma}}

Ideal Gas Specific Volume

THERMALthermodynamics
Verified
v=RTPv = \frac{RT}{P}

Otto Cycle Net Work Output

MECHANICALengine_cycles
Verified
wnet=cv[(T3−T2)−(T4−T1)]w_{net} = c_{v} \left[ (T_{3} - T_{2}) - (T_{4} - T_{1}) \right]

Mean Effective Pressure (MEP)

MECHANICALengine_cycles
Verified
MEP=wnetv1−v2=wnetv1(1−1/r)MEP = \frac{w_{net}}{v_{1} - v_{2}} = \frac{w_{net}}{v_{1}(1 - 1/r)}

Otto Cycle Isentropic Compression (T2)

MECHANICALengine_cycles
Verified
T2=T1⋅rγ−1T_{2} = T_{1} \cdot r^{\gamma - 1}

Mass-transfer model (Burn-up velocity)

CHEMICALHeterogeneous reactions
hm⋅rhoinf⋅(yinf−ys)h_{m} \cdot rho_{inf} \cdot (y_{inf} - y_{s})

Law of corresponding states

PHYSICSStatistical physics
(pstar+3/(Vm, star2))⋅(Vm, star−1/3)(p_{star} + 3 / (V_{m,\,star}^{2})) \cdot (V_{m,\,star} - 1/3)

Wall thickness of cylindrical shells

MECHANICALGeneral
e=pc⋅De2f⋅z+pce = \frac{p_{c} \cdot D_{e}}{2f \cdot z + p_{c}}

Reaction rate of reaction j

CHEMICALKinetics
(1/nuij)⋅(dci/dt)(1 / nu_{ij}) \cdot (dc_{i} / dt)

Probable Error

MATHEMATICSNumerical Summary Measures
0.6745⋅s0.6745 \cdot s

Required bolt force

MECHANICALGeneral
WA=π⋅b⋅G⋅yW_{A} = \pi \cdot b \cdot G \cdot y

Specific Gravity (SG)

FLUIDDrilling Hydraulics
mw/8.33mw / 8.33

Moment of Inertia: Massive Sphere

MECHANICALMechanics
(2/5)⋅m⋅R2(2/5) \cdot m \cdot R^{2}

Newton's 2nd Law

MECHANICALMechanics
m⋅am \cdot a

Common Critical Values (Normal)

MATHEMATICSStandard Normal Distribution
0.1:1.2816,0.05:1.6449,0.025:1.9600,0.01:2.3263,0.005:2.5758{0.1: 1.2816, 0.05: 1.6449, 0.025: 1.9600, 0.01: 2.3263, 0.005: 2.5758}

Air ratio (lambda)

CHEMICALCombustion Science
l/lminl / l_{min}

Buoyancy Factor (BF)

FLUIDDrilling Hydraulics
(65.5−mw)/65.5(65.5 - mw) / 65.5

Minimum oxygen requirement

CHEMICALCombustion Science
1.0⋅(omegaC/12+omegaH/4+omegaS/32−omegaO/32)1.0 \cdot (omega_{C} / 12 + omega_{H} / 4 + omega_{S} / 32 - omega_{O} / 32)

Triplex Pump Output (PO)

FLUIDDrilling Hydraulics
0.000243⋅(linerid2)⋅strokelen0.000243 \cdot (liner_{id}^{2}) \cdot stroke_{len}

Rayleigh Equation

CHEMICALDetonations
p2/p1=1+kappa⋅M121+kappa⋅M22p2 / p1 = \frac{1 + kappa \cdot M12}{1 + kappa \cdot M22}

Boltzmann's constant

PHYSICSPhysical Constants
1.380658×10−231.380658 \times 10^{-23}

Annular Velocity (AV)

FLUIDDrilling Hydraulics
24.5⋅gpmdh2−dp2\frac{24.5 \cdot gpm}{dh2 - dp2}
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