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Related Concept Videos

Energy Conservation and Bernoulli's Equation01:16

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Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
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In the middle of the nineteenth century, it was observed that two trains passing each other at a high relative speed get pulled towards each other. The same occurs when two cars pass each other at a high relative speed. The reason is that the fluid pressure drops in the region where the fluid speeds up. As the air between the trains or the cars increases in speed, its pressure reduces. The pressure on the outer parts of the vehicles is still the atmospheric pressure, while the resultant...
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Related Experiment Video

Updated: Sep 5, 2025

A Uniaxial Compression Experiment with CO2-Bearing Coal Using a Visualized and Constant-Volume Gas-Solid Coupling Test System
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An MPA-based optimized grey Bernoulli model for China's petroleum consumption forecasting.

Wen-Ze Wu1,2, Zhiming Hu3,4, Qin Qi5

  • 1School of Economics and Business Administration, Central China Normal University, Wuhan, 430079 China.

Complex & Intelligent Systems
|July 6, 2022
PubMed
Summary

Accurate petroleum consumption forecasting is crucial for energy planning. This study introduces an optimized nonlinear grey Bernoulli model to enhance predictions for China

Keywords:
Fractional accumulated generation operatorGrey forecasting modelMarine predation algorithmPetroleum consumption

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Area of Science:

  • Energy economics
  • Time-series forecasting
  • Mathematical modeling

Background:

  • Petroleum consumption prediction is vital for energy scheduling and economic development.
  • Uncertainty and volatility in petroleum systems necessitate advanced forecasting models.

Purpose of the Study:

  • To develop a novel nonlinear grey Bernoulli model for accurate petroleum consumption forecasting.
  • To enhance the model's predictive power using a combined fractional accumulated generation operator and marine predation algorithm.

Main Methods:

  • Introduction of a combined fractional accumulated generation operator (incorporating traditional and conformable fractional accumulation).
  • Application of the marine predation algorithm to optimize model coefficients, including fractional accumulation order.
  • Verification of the model using coal consumption data before application to petroleum consumption.

Main Results:

  • The proposed optimized nonlinear grey Bernoulli model (ONGBM(1,1,k,c)) demonstrates superior performance compared to benchmark models.
  • The enhanced accumulation operator effectively extracts developmental patterns from time-series data.
  • Accurate forecasts for China's petroleum and terminal consumption were generated.

Conclusions:

  • The ONGBM(1,1,k,c) model offers a robust and accurate approach for petroleum consumption forecasting.
  • The study provides valuable insights and suggestions for policymakers in the energy sector.
  • Optimized fractional accumulation and meta-heuristic algorithms significantly improve time-series prediction accuracy.