Page 22 - Analysis and Design of Energy Geostructures

List of symbols xxiii

Roman symbols
Symbol Variable name Unit measure
Nominal heating power W
_ Q S
Deviatoric stress Pa
q
Base resistance Pa
q b
Mobilised base resistance Pa
q b;mob
Base resistance for block failure of pile group Pa
q b;g
Base resistance of equivalent pier Pa
q b;eq
Cone resistance Pa
q c
Ultimate shaft resistance Pa
q s
Mobilised shaft resistance Pa
q s;mob
Shaft resistance for block failure of pile group Pa
q s;g
Shaft resistance of equivalent pier Pa
q s;eq
Mass flux density m/s
_ q
D;i
Mass flux density in the flow direction m/s
_ q
D;x
Hydraulic power W/m
_ q
n
2
Heat flux density generated by conduction W/(m s)
_ q
i; cond
2
Heat flux density generated by convection W/(m s)
_ q
i; conv
Heat flux per unit length W/m
_ q
l 2
Heat flux density/heat flux per unit of surface W/m
_ q
i
Heat flux per unit length exchanged through the pipe W/m
_ q
p
Radial heat flux W/m 2
_ q
r
2
Heat flux density generated by radiation W/(m s)
_ q
red; e
2
Heat flux density generated by irradiation W/(m s)
_ q
red; a
2
Neat heat flux density W/(m s)
_ q
red; i
Heat flux at the pipe surface W/m 2
_ q
s 3
Heat generation by unit of volume W/m
_ q
v 2
Heat flux per unit of surface W/m
_ q
x
Radial coordinate m
r
Inner radius of the infinite cylinder m
r in
Outer radius of the infinite cylinder m
r out
Radius of the soil volume associated to one energy pile m
r soil
Grain radius m
r g
Magical radius m
r m
Radius of pipe m
r p
Inner radius of pipe m
r p;in
Outer radius of pipe m
r p;out
Degree of mobilisation of plasticity of the isotropic mechanism
r iso

el
r Initial value of r iso
iso
Material parameter
cyc
r
iso
Degree of mobilisation of plasticity of the deviatoric mechanism
r dev

el
r Initial value of r dev
dev
Compression factor
r c
r χ Curvature radius m
Critical radius m
r cr
Expansion factor
r e
Radius of pile/cavity/sphere m
R
Critical value of roughness
R cr
Design value of resistance Variable
R d
Design value of ground resisting load N
R c;d