Nomenclature

Symbol Definition Unit

Aff

Cross-sectional flow area

M2

Ao

Heat transfer area

M2

Cp

Specific heat at constant pressure

J/kg. K

Cv

Specific heat at constant volume

J/kg. K

Cw

Friction factor

D

Inner diameter

M

D

Outer diameter

M

Dh

Hydraulic diameter

M

Dw

Diameter of matrix material wire/fibre

M

Fs

Schmidt Factor

H

Convective heat transfer coefficient

W/m2.K

K

Thermal conductivity

W/m. K

(X)

‘<1

Regenerator length

M

M

Mass flow rate

Kg/s

M0

Mass flow rate per unit area

Kg/m2s

M

Mass of gas

Kg

Mf

Mass of gas flow per half cycle

Kg

Mm

Mass of matrix material

Kg

N

Moles

Mol

Npr

Prandtl Number

Nre

Reynolds Number

Ns

Revolutions per minute

Min-1

Ns

Revolutions per second

S-1

Ap

Pressure difference

Pa

P

Pressure

Pa

Po

Nominal engine pressure

Pa

P

Power

W

Po

Nominal engine power

W

Pw

Wetted perimeter

M

Q

Rate of heat transfer

W

Q

Heat quantity

J

R

Gas Constant

J/K.

Rh

Hydraulic radius

M

Sreg

Regenerator matrix surface area

M2

AT

Temperature difference

K

T

Temperature

K

Tc

Cooler temperature

K

Th

Heater temperature

K

T

Tr

Mass-averaged regenerator gas temperature

K

Tw

Wall thickness

M

U

Mean mass velocity

M/s

Uo

Overall heat transfer coefficient

W/m

V

Volumetric flow rate

M3/

V

Volume

M3

Vc

Compression space volume

M3

Vd

Dead space volume

M3

Ve

Expansion space volume

M3

Vmax

Maximum gas volume

M3

Vmin

Minimum gas volume

M3

Vr

Volume ratio

Vreg

Regenerator volume

M3

Vsw

Swept volume

M3

Ц

Dead space ratio

Ј

Porosity of matrix material

Tfreg

Regenerator effectiveness

%

P

Density

Kg/m

2

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