Property Estimator

NameFill height from stored volume, diameter, conjugate diameter and length
PropertyFill Height
TypeFunction
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));
}
Unitm
Validity ConditionsShape: Cylindrical Dished Horizontal
PrecedenceAuto
DisabledNo
Notes

Calculates fill height by using Newton's method of successive approximations (Newton's rule).

AccessPublic
Created: Serkan GIRGIN, 2012/10/28 18:57:05

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