Table 1.

List of symbols, with description and physical dimension.

Symbol	Description	Dimension
Ar	Aggradation Rate	m s−1
C0	Reference particle concentration (0.7)	–
C	Particle volumetric concentration	–
Ctot	Total particle volumetric concentration	–
Cd	Particle drag coefficient	–
Csf	Depth-averaged concentration in the basal shear flow	–
Cpa	Air specific heat	J kg−1 °C−1
Cpg	Gas specific heat	J kg−1 °C−1
Cps	Solid specific heat	J kg−1 °C−1
d	particle size	mm
g	Gravity acceleration (9.81)	m s−2
g′	Reduced gravity	m s−2
H	Total flow thickness	m
Hdep	Deposit thickness	m
Hsf	Shear flow height	m
k	Von Karman constant (0.4)	–
ks	substrate roughness	m
Pdyn	Dynamic pressure	k Pa
Pn	Particle Rouse number	–
Pn*	Normalized Rouse number	–
Pnavg	Average Rouse number of the solid material	–
Pni	Rouse number of the ith particle-size class	–
Pnsusp	Rouse number at maximum suspension capacity	–
Ri0	Richardson number	–
Sr	Sedimentation rate	kg m−2 s−1
t	Aggradation time	s
Ta	air temperature	°C
Tg	Gas temperature	°C
Tmix	Temperature of mixture	°C
Ts	solid temperature	°C
u*	Flow shear velocity	m s−1
U	Current velocity	m s−1
wt	Particle terminal velocity	m s−1
wti	Terminal velocity of the ith particle-size class	m s−1
y	Flow vertical coordinate	m
y0	Basal lamina thickness	m
α	Slope angle	Deg
ϕi	Weight fraction of the ith size class	Weight%
ρa	Atmospheric density	kg m−3
ρdep	Deposit density	kg m−3
ρg	Gas density	kg m−3
ρmix	Density of the gas–particle mixture	kg m−3
ρs	Particle density	kg m−3
ρsf	Shear flow density	kg m−3
ρsi	Density of the ith particle-size class	kg m−3
τ	Shear-driving stress of shear flow	Pa