# Oneeq21a

 Name: Oneeq21a - General Two-fluid Model Equations - ugs=-0.0295 Source: Brauner, N., Personal communications (2001) Reference/s Model: 1 implicit equation, indep. variable name: h Average difficulty level Constraints: 0<=h<1 Discontinuities:function undefined for h<0 Initial range: hmin=0, hmax=0.3 Solved by Shacham, M., POLYMATH 5.1, build 19, April 20, 2001 Model Eqs. General Two-fluid Model Equations - ugs=-0.029 |POLVER05_1 EXCEL FILE f(h) = -tg*sg*al+tl*sl*ag-ti*si*(al+ag)+d*(rol-rog)*al*ag*g # TEXT FILE sg = arccos(2*h-1) # POLYMATH FILE si=(1-(2*h-1)^2)^.5 # ag=(sg-(2*h-1)*si)/4 # al=3.1415927/4-ag # dg = 4*ag/(sg+si)*d # ug=ugs*3.1415927/4/ag # ul = uls*3.1415927/4/al # dl = 4*al/(sl)*d # dpg=(rol*al+rog*ag)*g/3.1415927*4 # reg = abs(ug)*rog*dg/vig # tg = -16/reg*(.5*rog*ug*abs(ug)) # rel = abs(ul)*rol*dl/vil # tl = -16/rel*(.5*rol*ul*abs(ul)) # ti = -16/reg*rog*(.5*(ug-ul)*abs(ug-ul))*it # dpf=(tl*sl+tg*sg)*d/(al+ag)/d^2*4 # dp=dpg+dpf # x2 = uls*vil/(vig*ugs) # tic = if (abs(ul)