Looking for a specific product?

Make a search for products & suppliers, articles & news.

Eivind Knudsen Hjertholm

Eivind Knudsen Hjertholm, 18 år, Bergen
Skole: Bergen Katedralskole

Modelling water flowing through two tanks

 

In my project, I have investigated modelling of water flows through two tanks.
The setup was two tanks arranged such that one of them was suspended above the other. There are holes in the bottom of both tanks such that water can flow into the first tank, then from the first to the second tank and then out of the second tank. Initially, before water starts flowing, both tanks are filled with a certain amount of water. I now investigated how I could make an analytical model of the height of the water in each tank relative to time. This means that I wanted to express the height of the water in each tank as a direct function of time.

I built my model from the assumption that the volume flow of water through a hole is proportional to the pressure difference over the hole. For both tanks, this gave a constant of proportionality that I needed to deduce experimentally. This was done by measuring the flow rate out of each tank for a given pressure difference. For each tank, I also got a first order liner differential equation relating the height of the water to time. This differential equation was solved analytically to produce an explicit function for height of time for both tanks.

I tested the model experimentally by measuring the height versus time of the water in each tank for differing inflows and initial water heights. I plotted the data from the experiment together with the predictions by the model. This allowed me to do an analysis of the applicability of the model.

The results were that the functions for both tanks on average gave predictions within an accuracy of 15% for the initial 41% of the time that it took for the water level to reach equilibrium.

 

 

Related news

Latest news

BP Awards Schlumberger Contract for Mad Dog 2 Project

Export Conference 2017: A changing world

Register for this year’s most important conference for Norwegian exporters. We can promise you an interesting and inspirational day!

Meet Elkem Silicon Materials at the Ceramics Expo 2017

Elkem Silicon Metrials invites to meet their team at the Ceramics Expo 2017. This is North America’s largest, free-to-attend exhibition for Ceramic manufacturing and applications.

Event - TechnipFMC at Gastech April 4

Most ship owners are now looking very closely at the benefits that digitalization can bring in operational gains.

Deepocean Awarded Surf Contract from BP for the Foinaven Field

DeepOcean today announced that it had received a call-off under its new Master Service Agreement (MSA) with BP Exploration Operating Company Ltd.

Parquet Floor - a Furniture in itself

Read how a Nordic style, maintenance free new floor is a furniture all in itself. 

Haavik in as Sales Director

Tor Henrik Haavik enters the role as Sales Director in Steinsvik AS. Haavik has an engineering education from Høgskolen i Haugesund and has been employed in Steinsvik since 2002. Haavik comes from the position of Sales Man...

Powder Characterization Experts Offer Solutions to Optimize Process Performance

Freeman Technology, the powder characterization specialists, will be exhibiting at the Ceramics Expo for the first time (25 – 27 April, Cleveland, OH, USA). The company offers material characterization solutions aimed at o...