Oneeq8

Name: Oneeq8 - Flow in a smooth pipe
Source: Paterson, W. R., 1986, Chem. Engng. Sci., 41, 1935
Reference/s Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495
       
Model: 1 implicit equation, indep. variable name: v
  Lower difficulty level
  Constraints: x>=0
  Discontinuities: function undefined for x<0
  Initial range: vmin=0.01, vmax=1
       
Solved by Shacham, M., POLYMATH 5.1, build 19, Nov. 17, 2000
       
Model Eqs. Flow in a smooth pipe |POLVER05_1

EXCEL FILE 

f(v) = a*v^2+b*v^(7/4)-c #

TEXT FILE  

a = 240 #

POLYMATH FILE  

b = 40 #
  c = 200 #
  v(min)=.01, v(max)=1
       
Variable/function values Variable Value f(x)
  v 0.505

-1.2669E+02
       
Root Variable Value f(x)
  v 0.842524411168525

3.6380E-12
       
Function plot