Related Experiment Video
Updated: Jan 15, 2026
05:20
Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
19.4K
Dynamic characterization of a slug calorimeter via transfer function modeling.
Xuehui Zhang1, Chundong Xu1, Deren Kong1
1School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China.
The Review of Scientific Instruments
|October 10, 2025
Summary
This study models a slug calorimeter
Area of Science:
- Thermodynamics
- Measurement Science
Background:
- Quantifying dynamic characteristics of slug calorimeters is crucial for accurate heat flux measurements.
- Understanding the interplay between heat conduction and temperature measurement subsystems is essential for system modeling.
Purpose of the Study:
- To model and quantify the dynamic characteristics of a slug calorimeter using linear time-invariant system theory.
- To establish a theoretical basis for optimizing calorimeter design for high dynamic response.
Main Methods:
- Modeled heat conduction and temperature measurement subsystems.
- Derived analytical solutions for time-domain temperature response.
- Obtained transfer functions using unit impulse response method.
- Constructed the complete system transfer function by series connection.
Main Results:
- The passband width of the sensitive element is directly proportional to thermal conductivity and inversely proportional to the square of thickness.
- The temperature measurement system's dynamic characteristics significantly influence the overall frequency response.
- Experimental validation confirmed the theoretical analysis.
Conclusions:
- The developed model accurately characterizes slug calorimeter dynamic response.
- Findings provide a theoretical foundation for designing calorimeters with enhanced dynamic performance.
- Optimizing sensitive element material properties and dimensions is key to improving dynamic response.
Related Concept Videos
02:41Constant Volume Calorimetry
30.5K
Calorimeters are useful to determine the heat released or absorbed by a chemical reaction. Coffee cup calorimeters are designed to operate at constant (atmospheric) pressure and are convenient to measure heat flow (or enthalpy change) accompanying processes that occur in solution at constant pressure. A different type of calorimeter that operates at constant volume, colloquially known as a bomb calorimeter, is used to measure the energy produced by reactions that yield large amounts of heat and...
30.5K
03:02Constant Pressure Calorimetry
97.1K
Calorimetry is a technique used to measure the amount of heat involved in a chemical or physical process or to measure the heat transferred to or from a substance. The heat is exchanged with a calibrated and insulated device called the calorimeter. Calorimetry experiments are based on the assumption that there is no heat exchange between the insulated calorimeter and the external environment. The well-insulated calorimeters prevent the transfer of heat between the calorimeter and its external...
97.1K
01:23Transfer Function to State Space
756
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an RLC...
In an RLC...
756
01:26Linear Approximation in Frequency Domain
357
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....
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....
357
01:21State Space to Transfer Function
559
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
559
01:24Thermodynamics: Activity Coefficient
2.8K
Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
2.8K