27.07.2021 Views

The Delft Sand, Clay & Rock Cutting Model, 2019a

The Delft Sand, Clay & Rock Cutting Model, 2019a

The Delft Sand, Clay & Rock Cutting Model, 2019a

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<strong>Rock</strong> <strong>Cutting</strong>: Hyperbaric Conditions.<br />

With:<br />

<br />

sin sin<br />

2 p2m sin 2 p2m<br />

sin cos <br />

A <br />

<br />

sin<br />

a 2<br />

cos cos <br />

<br />

sin<br />

And:<br />

1 p2m sin<br />

B <br />

cos 2 p1m<br />

cos sin <br />

<br />

sin sin<br />

<br />

sin sin<br />

c 2 cos cos a 1 cos cos<br />

<br />

<br />

h<br />

h<br />

i<br />

i<br />

(9-24)<br />

(9-25)<br />

And:<br />

<br />

sin<br />

sin<br />

1 p1m sin cos 1 p1m<br />

sin <br />

C h h<br />

<br />

<br />

sin<br />

c 1<br />

cos cos <br />

hi<br />

h<br />

sin<br />

i<br />

i<br />

i<br />

(9-26)<br />

If hb,mhb the normal Flow Type will occur.<br />

if h<br />

if h<br />

h then use h<br />

b,m b b,m<br />

h then use h<br />

b,m b b<br />

(9-27)<br />

Now in the case of full cavitation, the adhesion can be neglected and both arms are at 50% of the corresponding<br />

length. This simplifies the equations to:<br />

<br />

sin<br />

pm<br />

cos sin <br />

A <br />

sin<br />

<br />

sin sin<br />

pm<br />

sin c cos cos <br />

B <br />

h<br />

i<br />

(9-28)<br />

<br />

sin<br />

sin<br />

pm<br />

cos sin c cos cos <br />

C h h<br />

Introducing the ratio rz between the absolute hydrostatic pressure and the shear strength c:<br />

<br />

<br />

w<br />

g z<br />

10<br />

rz<br />

(9-29)<br />

c<br />

i<br />

i<br />

Copyright © Dr.ir. S.A. Miedema TOC Page 307 of 454

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!