PALI

Equation Library

Browse 1305 verified engineering equations across 16 domains.

Otto Cycle Heat Input
MECHANICAL

engine_cycles

qin=cv(T3−T2)q_{in} = c_{v} (T_{3} - T_{2})
3 in / 1 out
Details
Ottoheat inputcombustion
Otto Cycle Isentropic Expansion (T4)
MECHANICAL

engine_cycles

T4=T3⋅1rγ−1T_{4} = T_{3} \cdot \frac{1}{r^{\gamma - 1}}
3 in / 1 out
Details
Ottoisentropicexpansion+1
Brayton Cycle Thermal Efficiency
AEROSPACE

gas_turbine

ηBrayton=1−1rp(γ−1)/γ\eta_{Brayton} = 1 - \frac{1}{r_{p}^{(\gamma-1)/\gamma}}
2 in / 1 out
Details
Braytongas turbinethermal efficiency+1
Ideal Gas Specific Volume
THERMAL

thermodynamics

v=RTPv = \frac{RT}{P}
3 in / 1 out
Details
ideal gasspecific volumestate equation
Otto Cycle Net Work Output
MECHANICAL

engine_cycles

wnet=cv[(T3−T2)−(T4−T1)]w_{net} = c_{v} \left[ (T_{3} - T_{2}) - (T_{4} - T_{1}) \right]
5 in / 1 out
Details
Ottonet workcycle work
Mean Effective Pressure (MEP)
MECHANICAL

engine_cycles

MEP=wnetv1−v2=wnetv1(1−1/r)MEP = \frac{w_{net}}{v_{1} - v_{2}} = \frac{w_{net}}{v_{1}(1 - 1/r)}
3 in / 1 out
Details
MEPmean effective pressureengine performance
Otto Cycle Isentropic Compression (T2)
MECHANICAL

engine_cycles

T2=T1⋅rγ−1T_{2} = T_{1} \cdot r^{\gamma - 1}
3 in / 1 out
Details
Ottoisentropiccompression+1
Mass-transfer model (Burn-up velocity)
CHEMICAL

Heterogeneous reactions

hm⋅rhoinf⋅(yinf−ys)h_{m} \cdot rho_{inf} \cdot (y_{inf} - y_{s})
0 in / 0 out
Details
heterogeneous reactionscombustionchemistry
Law of corresponding states
PHYSICS

Statistical physics

(pstar+3/(Vm, star2))⋅(Vm, star−1/3)(p_{star} + 3 / (V_{m,\,star}^{2})) \cdot (V_{m,\,star} - 1/3)
2 in / 0 out
Details
statistical physicsphysicsfundamentals
Wall thickness of cylindrical shells
MECHANICAL

General

e=pc⋅De2f⋅z+pce = \frac{p_{c} \cdot D_{e}}{2f \cdot z + p_{c}}
0 in / 0 out
Details
Dubbel 22mechanicalgeneral
Reaction rate of reaction j
CHEMICAL

Kinetics

(1/nuij)⋅(dci/dt)(1 / nu_{ij}) \cdot (dc_{i} / dt)
0 in / 0 out
Details
kineticscombustionchemistry
Probable Error
MATHEMATICS

Numerical Summary Measures

0.6745⋅s0.6745 \cdot s
1 in / 0 out
Details
numerical summary measuresstatisticsprobability
Required bolt force
MECHANICAL

General

WA=π⋅b⋅G⋅yW_{A} = \pi \cdot b \cdot G \cdot y
2 in / 0 out
Details
Dubbel 22mechanicalgeneral
Specific Gravity (SG)
FLUID

Drilling Hydraulics

mw/8.33mw / 8.33
1 in / 0 out
Details
drilling hydraulicsdrillingpetroleum
Moment of Inertia: Massive Sphere
MECHANICAL

Mechanics

(2/5)⋅m⋅R2(2/5) \cdot m \cdot R^{2}
2 in / 0 out
Details
mechanicsphysicsfundamentals
Newton's 2nd Law
MECHANICAL

Mechanics

m⋅am \cdot a
2 in / 0 out
Details
mechanicsphysicsfundamentals
Common Critical Values (Normal)
MATHEMATICS

Standard 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}
0 in / 0 out
Details
standard normal distributionstatisticsprobability
Air ratio (lambda)
CHEMICAL

Combustion Science

l/lminl / l_{min}
0 in / 0 out
Details
combustion sciencecombustionchemistry
Buoyancy Factor (BF)
FLUID

Drilling Hydraulics

(65.5−mw)/65.5(65.5 - mw) / 65.5
1 in / 0 out
Details
drilling hydraulicsdrillingpetroleum
Minimum oxygen requirement
CHEMICAL

Combustion 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)
0 in / 0 out
Details
combustion sciencecombustionchemistry
Triplex Pump Output (PO)
FLUID

Drilling Hydraulics

0.000243⋅(linerid2)⋅strokelen0.000243 \cdot (liner_{id}^{2}) \cdot stroke_{len}
2 in / 0 out
Details
drilling hydraulicsdrillingpetroleum
Rayleigh Equation
CHEMICAL

Detonations

p2/p1=1+kappa⋅M121+kappa⋅M22p2 / p1 = \frac{1 + kappa \cdot M12}{1 + kappa \cdot M22}
0 in / 0 out
Details
detonationscombustionchemistry
Boltzmann's constant
PHYSICS

Physical Constants

1.380658×10−231.380658 \times 10^{-23}
0 in / 0 out
Details
physical constantsphysicsfundamentals
Annular Velocity (AV)
FLUID

Drilling Hydraulics

24.5⋅gpmdh2−dp2\frac{24.5 \cdot gpm}{dh2 - dp2}
3 in / 0 out
Details
drilling hydraulicsdrillingpetroleum
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