A mathematical model was developed to predict the flow rate and torque requ
irements in continuous Indian unleavened flat bread (chapatis) forming syst
em, based on mechanical extrusion. Variables included were screw speed, len
gth to die width, and product moisture. Flow rate and torque were effected
by product moisture and die width. For a constant pressure drop, flow rate
increased as die width and product moisture increased.
The flow rate and torque equations used for modeling were:
Q = G(1)NF(dt)(1-delta /H) + G(2)F(pt)/mu (P-1-P-2)/L(1+f)
and tau = G(3)N(G(4)mu + G(5)mu (delta)) + G(6)(P-2 - P-1), respectively wh
ere Q is the volumetric flow rate, tau the torque input, N the screw speed,
F-dt the total drag flow, F-pt the total pressure flow, delta the flight c
learance, H the channel depth, mu viscosity of dough in the channel, mu (de
lta) viscosity in the flight clearance, P-1 dough pressure at input end, P-
2 dough pressure at output end, L the length of extrusion section under stu
dy in axial direction, f correction for pressure flow and G(1)-G(6) are the
constants. (C) 2001 Elsevier Science Ltd. All rights reserved.