luni, 14 mai 2012

Tank Volume & Fill Calculator


Tank Volume Calculator
Tank Type:  
(inside dimensions)FeetInches
Length (l) = 
Diameter (d) = 
Filled Depth (f) = 

Answer:
Total Volume = 0.00
Filled Volume* = 0.00

Tank Schematic:
Horizontal Cylinder

horizontal cylinder water tank or oil tank

Methods to calculate the volume of tanks and the volume of a liquid inside a tank.

These calculations will give you cubic measures such as ft3 or m3 depending on your units of measure.

Horizontal Cylinder Tank Schematic

Horizontal Cylinder Tank

Total volume of a cylinder shaped tank is the area, A, of the circular end times the length, l. A = πr2 where r is the radius which is equal to 1/2 the diameter or d/2. Therefore:
V(tank) = πr2l
The filled volume of a horizontal cylinder tank is calculated by first finding the area, A, of a circular segment and multiplying it by the length, l.
circular segment
Area of the circular segment, the grey shaded area, is A = (1/2)r2(θ - sinθ) where θ = 2*arccos(m/r).  Therefore, V(segment) = (1/2)r2(θ - sinθ)l.  If the fill height f is less than 1/2 of d then we use the segment created from the filled height and V(fill) = V(segment).  However, if the fill height f is greater than 1/2 of d then we use the segment that is created by the empty portion of the tank and subtract it from the total volume to get the filled volume; V(fill) = V(tank) - V(segment).

Vertical Cylinder Tank Schematic

Vertical Cylinder Tank

Total volume of a cylinder shaped tank is the area, A, of the circular end times the height, h. A = πr2 where r is the radius which is equal to d/2. Therefore:
V(tank) = πr2h
The filled volume of a vertical cylinder tank is just a shorter cylinder with the same radius, r, and diameter, d, but height is now the fill height or f.  Therefore:
V(fill) = πr2f

Rectangle Tank Schematic

Rectangle Tank

Total volume of a rectangular prism shaped tank is length times width times height. Therefore,
V(tank) = lwh
The filled volume of a rectangular tank is just a shorter height with the same length and width.  The new height is the fill height or f.  Therefore:
V(fill) = lwf

Horizontal Oval Tank Schematic

Horizontal Oval Tank

Volume of an oval tank is calculated by finding the area, A, of the end, which is the shape of a stadium, and multiplying it by the length, l.  A = πr2 + 2ra and it can be proven that r = h/2 and a = w - h where w>h must always be true.  Therefore:
V(tank) = (πr2 + 2ra)l
Volume of fill of a horizontal oval tank is best calculated if we assume it is 2 halves of a cylinder separated by a rectangular tank.  We then calculate fill volume of 1) aHorizontal Cylinder Tank where l = l, f = f, and diameter d = h, and 2) a Rectangle Tank where l = l, f = f, and rectangle width w is a = w - h of the oval tank.
V(fill) = V(fill-horizontal-cylinder) + V(fill-rectangle)

Vertical Oval Tank Schematic

Vertical Oval Tank

Volume of an oval tank is calculated by finding the area, A, of the end, which is the shape of a stadium, and multiplying it by the length, l.  A = πr2 + 2ra and it can be proven that r = w/2 and a = h - w where h>w must always be true.  Therefore:
V(tank) = (πr2 + 2ra)h
Volume of fill of a vertical oval tank is best calculated if we assume it is 2 halves of a cylinder separated by a rectangular tank. With r = w/2 = hieght of the semicircle ends, we can define 3 general fill position areas.
  • Fill, f < r
    We calculate fill volume using the circular segment method, as in a Horizontal Cylinder Tank, for the filled portion.
  • Fill, f > r and f < (r+a)
    The filled volume is exactly 1/2 of the cylinder portion plus the volume of fill inside the rectangular portion.
  • Fill, f > (r+a) and f < h
    We calculate fill volume using the circular segment method, as in a Horizontal Cylinder Tank, for the empty portion.  Volume will be V(tank) - V(segment).

Horizontal Capsule Tank Schematic

Horizontal Capsule Tank

We treat a capsule as a sphere of diameter d split in half and separated by a cylinder of diameter d and height a.  Where r = d/2.
V(sphere) = (4/3)πr3, and
V(cylinder) = πr2a, therefore
V(capsule) = πr2((4/3)r + a)
Sphere Cap with radius R, height h
Volume of fill for a horizontal capsule is done by using the circular segment method for the Horizontal Cylinder and, with a similar approach, using calculations of a spherical cap for the sphere section of the tank where,
V(spherical cap) = (1/3)πh2(3R - h)

Vertical Capsule Tank Schematic

Vertical Capsule Tank

We treat a capsule as a sphere of diameter d split in half and separated by a cylinder of diameter d and height a.  Where r = d/2.
V(capsule) = πr2((4/3)r + a)
Volume of fill for a vertical capsule is calculated in a fashion similar to the method used for the Vertical Oval Tank where r = d/2 = height of each hemisphere end.
  • Fill, f < r
    We calculate fill volume using the spherical cap method, for the filled portion.
  • Fill, f > r and f < (r+a)
    The filled volume is exactly 1/2 of the sphere portion plus the volume of fill inside the vertical cylinder portion.
  • Fill, f > (r+a) and f < h
    We calculate fill volume using the spherical cap method for the empty portion.  Volume will be V(tank) - V(spherical cap).

Expansion tanks 

We provide expansion tanks with a capacity of 5, 10, 15, 24, 40, 60 or 80 liters. These expansion tanks have a 1" pipe thread connection. The 60 and 80 liters have a 2"pipe thread connection. Standard tanks are delivered with a 0.5 bar pressure cap.
Measurements:5 liters: 100x200x250mm. (option: with gaugeglass and/or level switch)
10 liters: 200x250x200mm. (standard with gaugeglass and level switch)
15 liters: 200x300x250mm. (standard with gaugeglass and level switch)
24 liters: 200x300x400mm. (option: with gaugeglass and/or level switch)
40 liters: 200x400x500mm. (option: with gaugeglass and level switch)
60 liters: 300x400x500mm. (option: with gaugeglass and level switch)
80 liters: 400x400x500mm. (standard with gaugeglass and level switch)

At your request, our tanks may be delivered with a 0.7 or 1 bar (for instance) pressure cap. At your request, we may also deliver tanks with different measurements.

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