Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

1.1K
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
1.1K
Definition of Laplace Transform01:22

Definition of Laplace Transform

3.0K
The Laplace transform is an indispensable mathematical technique for simplifying the resolution of differential equations by converting them into more manageable algebraic expressions. The Laplace transform of a function is denoted by L[x(t)], where x(t) is the time-domain function. The laplace transform is mathematically expressed as
3.0K
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

131
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
131
Conduction, Convection and Radiation: Problem Solving01:20

Conduction, Convection and Radiation: Problem Solving

1.4K
There are three methods by which heat transfer can take place: conduction, convection, and radiation. Each method has unique and interesting characteristics, but all three have two things in common: they transfer heat solely because of a temperature difference; and the greater the temperature difference, the faster the heat transfer.
In order to solve a problem related to heat transfer, first of all, the situation needs to be examined to determine the type of heat transfer involved. This could...
1.4K
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

600
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
600
State Space Representation01:27

State Space Representation

283
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
283

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Structural and Dimensional Analysis by Computed Tomography of a Multi Geometric Template Manufactured by Fused Deposition Modeling.

Micromachines·2023
See all related articles

Related Experiment Video

Updated: Sep 9, 2025

Fiber Optic Distributed Sensors for High-resolution Temperature Field Mapping
09:48

Fiber Optic Distributed Sensors for High-resolution Temperature Field Mapping

Published on: November 7, 2016

12.1K

Thermal Field Reconstruction on Microcontrollers: A Physics-Informed Digital Twin Using Laplace Equation and

Victor H Benitez1, Jesus Pacheco1, Agustín Brau1

  • 1Department of Industrial Engineering, Universidad de Sonora, Hermosillo 83000, Mexico.

Sensors (Basel, Switzerland)
|August 28, 2025
PubMed
Summary

This study introduces a physics-informed digital twin for real-time thermal monitoring of metallic plates. The system accurately reconstructs thermal fields, demonstrating potential for embedded edge deployments and educational applications.

Keywords:
embedded systemsfinite difference methodphysics-informed digital twinreal-time sensingthermal field estimation

More Related Videos

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment
04:35

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Published on: July 5, 2024

2.0K
Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor
07:28

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Published on: August 30, 2012

10.9K

Related Experiment Videos

Last Updated: Sep 9, 2025

Fiber Optic Distributed Sensors for High-resolution Temperature Field Mapping
09:48

Fiber Optic Distributed Sensors for High-resolution Temperature Field Mapping

Published on: November 7, 2016

12.1K
Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment
04:35

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Published on: July 5, 2024

2.0K
Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor
07:28

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Published on: August 30, 2012

10.9K

Area of Science:

  • Physics
  • Engineering
  • Computer Science

Background:

  • Real-time thermal monitoring is crucial for diagnostics and control.
  • Digital twins offer a powerful approach for simulating and visualizing physical systems.
  • Accurate boundary condition acquisition is essential for reliable thermal field reconstruction.

Purpose of the Study:

  • To develop and demonstrate a physics-informed digital twin for real-time thermal monitoring of a metallic plate.
  • To implement an efficient embedded system for concurrent data acquisition and computation.
  • To validate the accuracy and operational concurrency of the digital twin system.

Main Methods:

  • A physical layer with an aluminum plate and thermistors for boundary condition measurement.
  • A computational layer solving the steady-state Laplace equation via the finite difference method.
  • An embedded system using Direct Memory Access (DMA)-driven Analog-to-Digital Converter (ADC) for data acquisition.
  • A Python-based interface for real-time visualization of the computed thermal field.
  • The Steinhart-Hart model for experimental sensor characterization.

Main Results:

  • Accurate spatial reconstruction of the thermal field with acceptable error margins under steady-state conditions.
  • Demonstrated operational concurrency between the physical system and the digital twin.
  • Successful real-time visualization of the thermal field via a serial interface.
  • Experimental characterization of thermistors using the Steinhart-Hart model ensured accurate boundary data.

Conclusions:

  • The developed physics-informed digital twin provides effective real-time thermal monitoring and visualization.
  • The compact and modular architecture is adaptable to other physical domains governed by elliptic partial differential equations (PDEs).
  • The system is suitable for educational purposes, diagnostic prototyping, and embedded edge computing applications.