DISCHARGE AND TRANSPORT OF NEARLY BUOYANT GRANULAR SOLIDS IN LIQUIDS - PART II - AN INVESTIGATION OF THE EFFECTS OF PARTICLE PROPERTIES ON MIXTURE-DISCHARGE RATES AND PORE-PRESSURE PROFILES
S. Faderani et al., DISCHARGE AND TRANSPORT OF NEARLY BUOYANT GRANULAR SOLIDS IN LIQUIDS - PART II - AN INVESTIGATION OF THE EFFECTS OF PARTICLE PROPERTIES ON MIXTURE-DISCHARGE RATES AND PORE-PRESSURE PROFILES, Chemical Engineering Science, 53(3), 1998, pp. 575-598
Three different solid-liquid food analogues and one model food were us
ed in a series of flow experiments in a model conical hopper and verti
cal stand-pipe system. The mixture discharge rates, the liquid fractio
n in the discharge and the differential pore pressures set up during f
low along the hopper and stand-pipe walls were monitored. The liquid f
raction in the discharge decreases from an asymptotic limit set at hig
h mixture rates to values considerably less than 0.5 as the discharge
rate is reduced. Individual solid particle properties affect both the
value of the critical discharge rate, below which the discharge has a
higher solid content and the limiting value of the discharge rate, abo
ve which the liquid content remains unchanged. The results obtained wi
th near-spherical particles couple well with the tomographic observati
ons of the corresponding flow fields presented in Part I (Faderani et
al., 1998, Chem. Engng Sci. 53, 553), which indicate the onset of a se
ttling suspension well within the conical hopper at low mixture-discha
rge rates but a packed-bed flow extending almost to the plane of the h
opper orifice as the mixture rate is increased. With cylindrical parti
cles, the packed-bed to settling suspension flow transition is postpon
ed to occur within the vertical stand-pipe resulting in a high liquid
content in the discharge even at small-mixture discharge rates. The pr
ofiles of pore pressure measured along the hopper and stand-pipe walls
during steady discharge agree well with the observed flow regime tran
sitions and the changes in the liquid content of the discharge. The va
lues of pore pressures corresponding to the packed-bed flow regime are
compared with the predictions based on a modified form of the Ergun e
quation first proposed by Mills Lamptey and Thorpe (1990, Chem. Engng
Sci. 46, 2197). The interstitial fluid pressures measured in the suspe
nsion regime are also compared with the theoretical predictions corres
ponding to the incipient settling condition. Good agreement with exper
iment is reported in both regimes when the transition from packed-bed
to settling suspension occurs at the vicinity of the hopper orifice. A
simple, first-order theoretical treatment based on Wallis' Drift-Flux
Model (1969, One-dimensional Two-phase Flow, McGraw-Hill, London) exp
lains well the observed relationships between the mixture discharge ra
tes, the voidage profiles within the flow field and the liquid content
of the discharge. (C) 1997 Elsevier Science Ltd.