"Calculating Korifice Value in Cranes TP 410M, Problem 7-12

[gmaverick2k]

Homework Statement

Calculate Korifice by substituting Cd and beta values

Relevant Equations

See image

This is taken from Cranes Technical paper 410M problem 7-12. I cant seem to get the Korifice value by substituing the Cd and beta value. For example for beta = 0.7 & C = 0.7, I'm calculating Cd = 0.61 and Korifice = 28.0 (not 4.34 as shown) using excel. Is this an error?

 

[gmaverick2k]

Page A-21. Using Re = 8e5 for relating C and beta

 

[BvU]

I'm calculating Cd = 0.61 and Korifice = 28.0

So am I . There must be something wrong in the $K$ expression: the numerators are $\approx 0.93$ denominators $\approx 0.12$

$\$

 

[gmax137]

My old copy (1986, imperial units) shows
$$K_{orifice} \cong \frac{1-\beta^2} {C^2 \beta^4}$$

EDIT: and this is Example 4-12 in the old book, not 7-12 (possible typo in OP?)

 

[gmaverick2k]

My old copy (1986, imperial units) shows
$$K_{orifice} \cong \frac{1-\beta^2} {C^2 \beta^4}$$

ISO 5167-2:2003, (pdf version pops up first link in google)
pg. 14.. same eq. as in Crane for Korifice...

 

[gmaverick2k]

My old copy (1986, imperial units) shows
$$K_{orifice} \cong \frac{1-\beta^2} {C^2 \beta^4}$$

EDIT: and this is Example 4-12 in the old book, not 7-12 (possible typo in OP?)

not a typo, example 7-12:

 

[Petek]

I got the same result as you in Excel (most current version). I also plugged the equation into WolframAlpha and got the same result (both results for Korifice).