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Table 1 Symbols and units

From: Methods to Evaluate and Measure Power of Pneumatic System and Their Applications

Description

Symbol

Dimension(1)

Practical units

Pneumatic available energy per unit mass of air

e

L2T−2

J/kg

Pneumatic available energy

E

ML2T−2

J

Enthalpy per unit mass of air

h

L2T−2

J/kg

Pneumatic power

P

ML−1T−2

W

Air mass

m

M

kg

Absolute pressure (equal to the relative pressure plus the atmospheric pressure)

p

ML−1T−2

Pa(2)

Pressure drop

Δp

ML−1T−2

Pa

Mass flow-rate

q m

MT−1

kg/s

Volume flow-rate at standard conditions

q v

L3T−1

m3/s

Gas constant (for a perfect gas)

R (3)

L2T−2Θ−1

J/(kg·K)

Entropy per unit mass of air

s

L2T−2Θ−1

J/(kg·K)

Thermodynamic temperature

T

Θ

K

Velocity

u

LT−1

m/s

Volume

V

L3

m3

Mechanical work

W

ML2T−2

J

Isobaric specific heat

c p

L2T−2Θ−1

J/(kg·K)

Specific heat ratio

κ (4)

Dimensionless parameter

 

Efficiency

η

Dimensionless parameter

 
  1. (1)M = mass; L = length; T = time; Θ = temperature
  2. (2)1 Pa = 1 N/m2
  3. (3)R = 287 J/(kg·K)
  4. (4)κ = 1.4