Property Estimator
| Name | Fill height from stored volume, diameter, conjugate diameter and length |
|---|
| Property | Fill Height |
|---|
| Type | Function |
|---|
| Function | /* Return zero if stored volume is zero */
if (Scientific::equals([VFL:m3], 0)) return 0.0;
/* Return unit height if stored volume equals unit volume */
if (Scientific::equals([VFL:m3], [V:m3])) return [D:m];
/* Solve by Newton's rule */
$x = [D:m]/2;
while (TRUE) {
$sx = sqrt(([D:m]-$x)*$x);
$y = [L:m]*([D:m]*[D:m]/4*acos(1-2*$x/[D:m])-([D:m]/2-$x)*$sx)+M_PI*[DC:m]*$x*$x*(1/2-$x/(3*[D:m]))-[VFL:m3];
if (Scientific::equals($y, 0)) return $x;
$x = $x-$y/($sx*(2*[L:m]+M_PI*[DC:m]/[D:m]*$sx));
}
|
|---|
| Unit | m |
|---|
| Validity Conditions | Shape: Cylindrical Dished Horizontal |
|---|
| Precedence | Auto |
|---|
| Disabled | No |
|---|
| Notes | Calculates fill height by using Newton's method of successive approximations (Newton's rule). |
|---|
| Access | Public |
|---|
Created: Serkan GIRGIN, 2012/10/28 18:57:05