How the volume of a cylindrical tank can be calculated by measuring the empty levels ?

Question

The tank is lying horizontally as the flat faces are perpendicular to ground

It is to be noted that the filling volume varies with empty height as the tank is filled in a circular part.and you can measure the empty height only and the length will be same as lying on ground.

Answer 1

The easiest way to do this would be to start with an empty tank. Pour in a known quantity of fluid, and then mark the side of your tank for that level. Continue with this process until you are done.

This process has the advantage that it will work for any shape tank.

I do not know a formula for what you requested. It could be calculated in several ways. The volume of the cylinder is the area of the circle portion you are interested in multiplied by the length of the cylinder.

The trick is to calculate the area of part of the circle.

Geometrically, you could inscribe a polygon, calculate the area of the polygon to get the area outside of the polygon, and add or subtract areas suitably.

If you know calculus, you could integrate various sections of a circle, to find what you want.

There is probably a formula relating the Length of a chord to an area of a circle, but I don't know it offhand.

I have also listed a trigonometry reference that may allow you to figure these areas, but I haven't really thought about it enough.

Oh it is not so hard, using trigonometry, but messy.
Calculate the area of the circle without the triangle and the little empty slice. Now add in the area of the triangle.

Answer 2

The calibration of horizontal tanks: [top]

Horizontal tanks can be calibrated to either the API or the IP Standards. There is little difference in the end result. The calculation routines for both Standards have been around for a long time and neither one takes advantage of the ability of computers to perform laborious calculations. The API Standard in particular, makes extensive use of tables for various corrections, rather than providing formulae. We use a method that follows the IP method, but exceeds the precision of the method in that we can process greater degrees of tank tilt and greater ranges of head shape with much better accuracy. The Standards make several assumptions on the volumes of tank heads, where we are able to calculate volumes precisely.
Horizontal tanks can be calibrated either volumetrically or by physical measurement.

Most commonly volumetric calibration is performed by adding liquid, usually water, to a vessel in small volumes. The liquid can either be metered in through a calibrated meter or dropped from a calibrated volumetric prover. After the addition of each new volume, the level is measured and recorded. Any corrections required for temperature or meter factor may be applied to the levels and a table or dipstick is manufactured for the tank.

No corrections are applied for tank expansion, as this occurs during the filling process. There is a potential problem here for pressurised tanks or tanks holding products having densities different to the measuring liquid. If the tank service conditions for pressure, either hydrostatic or otherwise, are different from the calibrating conditions, there will be a volume error. This can be catered for with a suitable correction table.

The problem of similar conditions for calibration and use also applies to tanks that may be installed on different angles from which they were calibrated. If the tank inclination is different from the calibrated condition, there will be errors in the reported volume.

Volumetric calibration is ideal for tanks which require dipsticks, as there is no need to apply other corrections, and a dipstick can be made directly from the recorded levels.

The process does require a volume of water equal to the tanks capacity to be available during calibration and requires that the vessel be clean enough to allow the water to be disposed of afterward.

It can also be quite a time consuming process for a large tank and it may interfere with other work that is being done in the area

Answer 3

pieXr squared times the height. This is the forrmula for finding tha volume of a cylinder. Check just about any general math book. pie = 3.14, r= radius or 1/2 the diameter. the height is how tall (long) a cylinder you are dealing with. the position of the cylinder does not matter. If you measure in feet, your answer will be in cubic feet. So what ever the units of measure you may want to convert to gallons or liters if you need the answer in this unit of measure.

Answer 4

The EASIEST way is to install a strain gauge under the tank to measure the weight.
The strain gauge will give a 4-20ma signal which can be calibrated so that 4ma = the empty weight of the tank and 20ma = full liquid weight. You can scale the 4-20ma signal to read out in liters/gals kg/lb etc.
liters of course is the easiest if you are measuring water as 1000kg = 1000liters.

Answer 5

It won't matter which way it's lying. I've actually done this before in real life. You need the area of one of the circular ends of the tank, multiplied by the distance from one end to the other. So.......you find the diameter first (that's easier) and then find the radius by cutting that number in half. MEASURE IN DECIMETERS, that's easier, and it will convert direcly to liters. Converting to gallons is a snap that way.
Anyway, once you have the radius, muliply it by itself (in other words, square it) and multiply that answer by 3.14. You just found the area of the circle.
Lastly, multiply by the length from one end to the other. The answer you have is in cubic decimeters, or liters.

Answer 6

Is the cylinder upright, or on that is facet? It makes a large distinction. even if that is upright, then that is in simple terms the go sectional component of the round base x the height of the water. even if that is mendacity on that is facet, it really is a distinct kettle of fish. Edit: So that is on that is facet. As I suggested it truly is a distinct kettle of fish. The length will be consistent, even if the go sectional section will fluctuate at each and each element. of direction you are able to paintings it out % wise like 25%, 50%, seventy 5% etc., yet to paintings it out like all 6", or mm will require to understand the go sectional section at each and each height. i'm particular there should be a formula in regards to the arc and the chord of a circle, yet i imagine Alzheimer's has set in. perchance "Ricki" can help.