Oneeq15b

Name: Oneeq15b - Sinkage depth of sphere in water - 2nd form
Source:      
       
Reference/s Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495
       
Model: 1 implicit equation, indep. variable name: h
  higher difficulty level
  Constraints: h>0, h<2
  Discontinuities: function undefined at h=0 and h=3
  Initial range: hmin=-2, hmax=5
       
Solved by Shacham, M., POLYMATH 5.1, build 19, Dec 12, 2001
       
Model Eqs. Sinkage depth of sphere in water - 2nd form|POLVER05_1

EXCEL FILE 

f(h) = 2.4/(h*(3-h))-h #

TEXT FILE  

h(min)=-2, h(max)=5

POLYMATH FILE 

     
Variable/function values Variable Value f(x)
  h 1.5 -4.3333E-01
       
  Variable Value f(x)
Root1 h -0.795219745444464 -5.5511E-16
Root2 h 1.134137843811 -2.2204E-16
Root3 h 2.66108190354552 8.8818E-16
       
Additional information The radius of convergence of derivative based methods can be
  very small in the vicinity of the only physically correct root (h=1.134)
  because f'(h)=0 at h=2.173 and the functin goes to infinity near h=0
  and h=3
Function plot