Mathematical Modeling of Physical Systems: An Introduction

Notation

a

Acceleration, m/s 2

a

Specific surface area, m 2/m 3 packing

A

Area, m 2

A c

Cross-sectional area, m 2

B

Magnetic field, N/A m = T

c

Particle speed, m/s

c

Velocity of sound, m/s

C

Capacitance, C/V

C

Concentration, mol/m 3

C D

Drag coefficient, dimensionless

C p

Specific heat at constant pressure, J/mol K or J/kg K

C v

Specific heat at constant volume, J/mol K or J/kg K

d

Diameter, m

d

Distance, m

D

Diffusivity, m 2/s

D

Dilution rate, 1/s

D

Rate of evaporation, mol/s

D AB

Distance (surveying), m

e

Charge of an electron

E

Catalyst pellet effectiveness factor, dimensionless

E

Extruder uniformity index, dimensionless

E

Heat exchanger fin efficiency, dimensionless

E

Residence time distribution, 1/s

E

Young's modulus, Pa

E

Electrical field, N/C

E A

Activation energy, J/mol

E K

Kinetic energy, J/kg or J/mol

E p

Potential energy, J/kg or J/mol

f

Friction factor, dimensionless

f

Self-purification rate k L,a/k r, dimensionless

F

Force, N

F

Mass flow rate, kg/s

F D

Drag force, N

Fr

Froude number, v 2/l g, dimensionless

g

Gravitational acceleration, 9.81 m/s 2

G

Mass velocity, F/A, kg/m 2s

G

Universal gravitational constant, 6.6720 10 -11 N m

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