Pneumatic Drives: System Design, Modelling and Control

Unless otherwise specified in the text, the following symbols are used consistently throughout this book:
| A | cross-sectional area, m 2 |
| A | system matrix |
| b | pressure ratio |
| b | input vector |
| c | speed of sound, m/s |
| C | sonic conductance, m 3/(s Pa) |
| C d | discharge coefficient for orifice |
| c P | specific heat capacity at constant pressure, J/(kg K) |
| c v | specific heat capacity at constant volume, J/(kg K) |
| d, D | (internal) diameter, m |
| F | force, N |
| g | gravitational acceleration, m/s 2 |
| h | coefficient of heat transfer, J/(m 2 K) |
| H | total enthalpy, J |
| i | electric current, A |
| L | length, m |
| m | gas mass, kg |
| | mass flow rate, kg/s |
| M | translationally moving mass, kg |
| n | polytropic index of expansion or compression |
| n | rotation speed, rpm |
| p | pressure, absolute pressure Pa, gauge pressure bar |
| P | power, kW |
| Q | heat, J |
| q v | volume flow rate, m 3/s |
| R | gas constant, J/(kg K) |
| Re | Reynolds number |
| s | displacement, distance, m |
| t | time, s |
| T | temperature, C or K |
| u | input signal to control block |
| U | internal energy, J |
| v | velocity, m/s |
| v | specific volume, m 3 /kg |
| V | total volume, m 3 |
| W | total work, J |
| w | flow velocity, m/s |
| x | position, m |
| x | state vector |
Greek letters
| ? | ratio of specific heat capacites or index of isentropic expansion or compression |
| ? | increment |
| ? | damping coefficient of a second order system |
| ? | efficiency |
| ? | friction factor |
| ? | dynamic viscosity, kg/(m S) |
| v | kinematic viscosity, m 2/s |
| p | density, kg/m 3 |
| ? | time constant, s |
| ? | flow... |