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Free jets describe the flow of liquid exiting a reservoir through an opening into the atmosphere without resistance. The velocity (v) of the liquid jet is derived using Bernoulli's principle and expressed as:
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In fluid mechanics, buoyancy and stability are key concepts for understanding the behavior of submerged and floating bodies. When a stationary body is fully or partially submerged in a fluid, the fluid exerts a force on the body known as the buoyant force. This force acts vertically upward through a point called the center of buoyancy, which is the center of the displaced fluid volume. According to Archimedes' principle, the magnitude of the buoyant force is equal to the weight of the fluid...
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Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
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Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
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Predicting buoyant jet characteristics: a machine learning approach.

Hossein Hassanzadeh1, Saptarshi Joshi1, Seyed Mohammad Taghavi1

  • 1Department of Chemical Engineering, UniversitĂ© Laval, QuĂ©bec, QC, G1V 0A6, Canada.

Chemical Product and Process Modeling
|May 20, 2024
PubMed
Summary
This summary is machine-generated.

We used machine learning to predict characteristics of buoyant miscible jets, finding the random forest algorithm most accurate for predicting laminar length and spread angle.

Keywords:
buoyant jetsfluid mechanicslaminar lengthmachine learningspread angle

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Area of Science:

  • Fluid dynamics
  • Machine learning applications

Background:

  • Positively buoyant miscible jets are crucial in various industrial and environmental processes.
  • Accurate prediction of jet characteristics, such as laminar length and spread angle, is essential for modeling and control.

Purpose of the Study:

  • To employ supervised machine learning techniques for predicting key characteristics of miscible jets.
  • To compare the performance of different machine learning algorithms against empirical correlations.

Main Methods:

  • High-speed imaging and planar laser-induced fluorescence were used for data acquisition.
  • Supervised machine learning algorithms including linear regression, support vector regression, random forests, K-nearest neighbour, and artificial neural networks were utilized.
  • Model performance was evaluated using standard metrics.

Main Results:

  • The random forest algorithm demonstrated superior performance in predicting jet characteristics compared to other tested models.
  • The random forest model significantly outperformed a recent empirical correlation, particularly in predicting laminar length.
  • Accurate predictions were achieved across a wide range of Reynolds and Archimedes numbers.

Conclusions:

  • Supervised machine learning, specifically the random forest algorithm, offers a highly accurate method for predicting miscible jet characteristics.
  • This approach provides a significant improvement over traditional empirical correlations, especially for laminar length prediction.
  • The findings have implications for enhanced modeling and control of buoyant jet phenomena.