Mathematics has been the cornerstone of human progress in the past. It was formulated to count members of a tribe and then became beneficial for trading. Mathematicians are those who were involved in creating history by inventing and contributing to numerous world-changing developments. From your day-to-day shopping to huge market deals everything is dependent on numbers. From physics to chemistry nothing is possible without arithmetic, in the modern day, it’s hard to get around without calculation, as it’s simply present everywhere.
This research can have multiple applications implicating gas fluid displacement and storage, and more beyond it. No matter how silly the name might chime, it is quite an intriguing finding by the experts. Mathematics can be applied to resolve the issues.
Let’s discuss this in detail.
This research comes from Dr. Callum Guttle and Prof. Chris MacMinn, who is currently working At the Oxford University Department Of Engineering Science. As we know, when a liquid, say Ketchup liquid, comes to the top of a squeezy sauce bottle, it comes out messily. But with the assistance of a new mathematical model, we can now comprehend why it happens and what we can do to dissuade it from transpiring.
Experiment:
There was a series of experiments done by Dr. Cuttle, the experiment was interesting and intriguing the researcher took a capillary tube which has oil in it, then with the help of a syringe transferred air into it, to analyse the fluid can change the way it is from smooth to mess.
Whenever we apply force on any bottle, the bottle has air inside it which will come near the top of the opening of the bottle though the liquid also has viscosity or drag, and the balance between these forces determines how the liquid will flow out.
The mathematical analysis or the model discusses that compressing the air is essential to put pressure on the liquid inside the bottle which will help liquid to move forward. Although the resistance will come from viscosity as the air is more and the liquid less to move.
The change takes place due to numerous elements or factors involved, first depends on the liquid and it’s amount, then the air, The next important factor is the level of compression not just compression but the size of the opening of the bottle also matters (nozzle ).As the liquid flows and the air has more space to expand, it reaches a threshold where forces become zero. At that time, the compressed air becomes overcompressed, causing an explosion of liquid.
In summary, you should squeeze the bottle slowly, reducing the rate at which the gas is compressed. Making bottles have a bigger nozzle will reduce the amount of viscous drag.
This newly developed mathematical approach will become a helpful model for working with liquid and storing it. It can be utilized in numerous places.
reference
New mathematical model could help avoid spattering squeezy sauce bottles. (n.d.). https://eng.ox.ac.uk/news/new-mathematical-model-could-help-avoid-spattering-squeezy-sauce-bottles/
New mathematical model could help avoid spattering squeezy sauce. (2022, November 16). https://www.ox.ac.uk/news/2022-11-16-new-mathematical-model-could-help-avoid-spattering-squeezy-sauce-bottles
The role of mathematics in the overall curriculum | International Mathematical Union (IMU). (n.d.). https://www.mathunion.org/icmi/role-mathematics-overall-curriculum#:~:text=Mathematics%20provides%20an%20effective%20way,and%20even%20music%20and%20art. Hale, T. (2022). Ketchup. IFLScience. https://www.iflscience.com/why-ketchup-always-splatters-everywhere-when-the-bottle-is-low-66493
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