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

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) = av^2+bv^(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