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Related Concept Videos

Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
Energy Conservation and Bernoulli's Equation01:16

Energy Conservation and Bernoulli's Equation

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.
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Accelerating Fluids01:17

Accelerating Fluids

When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
Navier–Stokes Equations01:28

Navier–Stokes Equations

For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...

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Related Experiment Videos

A Novel Prediction-Optimization Machine Learning Framework for Nanofluid-Based Photovoltaic/Thermal Systems.

Chengyuan Li1, Yankai Huang2, Zheng Zhang2

  • 1School of Nuclear Science, Energy and Power Engineering, Shandong University, Jinan 250061, China.

Nanomaterials (Basel, Switzerland)
|June 11, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a novel prediction-optimization framework using deep neural networks (DNN) and genetic algorithms (GA) to optimize nanofluid-based photovoltaic/thermal (PV/T) systems. The DNN-GA approach significantly enhances PV/T system performance by accurately predicting and optimizing nanofluid parameters.

Keywords:
SHAP analysisdeep neural networkgenetic algorithm optimizationmachine learningnanofluidsphotovoltaic/thermal systems

Related Experiment Videos

Area of Science:

  • Solar Energy Engineering
  • Materials Science
  • Computational Science

Background:

  • Nanofluid-based spectral filtering enhances photovoltaic/thermal (PV/T) systems by utilizing the full solar spectrum.
  • Optimizing PV/T systems with nanofluids is complex due to nonlinear parameter interactions.

Purpose of the Study:

  • To develop an integrated prediction-optimization framework for designing high-performance nanofluid-based PV/T systems.
  • To accurately analyze multi-parameter interactions and achieve globally optimal designs.

Main Methods:

  • Constructed high-throughput datasets using theoretical calculations (Lorentz-Mie theory, Monte Carlo simulations, coupled opto-electro-thermal model) for Ag, Au, and Al nanofluids.
  • Employed deep neural networks (DNN), random forest (RF), and decision tree (DT) models for performance prediction.
  • Integrated machine learning models with genetic algorithms (GA) for a closed-loop prediction-optimization process.

Main Results:

  • The DNN model achieved prediction accuracies above 99.48% for key PV/T performance indicators (ηpv, ηth, MF), outperforming RF and DT models.
  • SHAP analysis quantified feature contributions, enhancing model interpretability.
  • The DNN-GA framework identified globally optimal design parameters for Ag, Au, and Al nanofluids, demonstrating practical value.

Conclusions:

  • The developed DNN-GA framework offers an innovative and efficient approach to designing nanofluid filters for PV/T systems.
  • This method reduces reliance on iterative experimentation, accelerating the development of advanced solar energy technologies.