Method and systems for selecting a heating arrangement
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Solution Overview
Problem
Current methods for determining the appropriate heating arrangement to melt solidified cargo in containers are inefficient, often requiring trial and error, leading to prolonged times, potential damage to cargo and containers, and safety risks due to rapid heating, especially when ambient temperatures vary.
Innovation Solution
A method and system that calculate the time to establish a phase change in a material within a container using basis functions from temperature field snapshots, iteratively updating the boundary surface based on heat flux, and selecting an optimal heating arrangement based on convergence conditions, allowing for precise determination of heating times and preventing damage.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If trial and error heating arrangements are used to determine appropriate heating configurations, then heating effectiveness can be improved, but time consumption increases significantly (tens of hours) and cargo/containers may be damaged
Solution Approach 1:
The system performs preliminary calculations using basis functions from temperature field snapshots to predict phase change times for different heating arrangements before actual heating begins. This allows the optimal heating arrangement to be selected in advance without time-consuming trial and error testing on actual cargo.
Solution Approach 2:
The system creates a computational model that copies the thermal behavior of the actual heating process. By using basis functions derived from temperature field snapshots, the model replicates phase change dynamics virtually, allowing prediction of heating outcomes without physical trials.
2Productivity
If high power heating arrangements are used to quickly melt solidified cargo, then productivity improves, but cargo and containers may be damaged through overheating and safety risks increase
Solution Approach 1:
The system incorporates feedback by using temperature field snapshots from previous heating operations to update and refine basis functions. This creates a learning system that adapts to specific cargo and container characteristics, providing accurate predictions of phase change times and preventing overheating damage.
Solution Approach 2:
The system changes parameters by selecting from multiple pre-calculated heating arrangements with different power levels and configurations. The computational model predicts the optimal set of parameters (heating power, duration, distribution) that achieves phase change at the desired speed without exceeding safe temperature limits.
3Device complexity
If heating arrangements are selected without considering ambient temperature variations, then device complexity is reduced, but heating effectiveness decreases when ambient conditions change
Solution Approach 1:
The system achieves universality by creating a general computational framework that can handle different cargo types, container configurations, and ambient temperature conditions. The basis function approach provides a universal method for predicting phase change that adapts to various scenarios without requiring location-specific hardware modifications.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach significantly reduces the time required to determine the appropriate heating arrangement, minimizes damage to cargo and containers, and ensures safe melting by providing a precise calculation of phase change times, enabling efficient and safe liberation of materials.
Implementation Method 1
The heating arrangement is applied until substantially all the material in the container has transitioned into the liquid phase
Implementation Method 2
it may be necessary to melt the material to transition the material back to its liquid phase
Data Source
AI summary
Disclosed herein is a method for calculating a time to establish a phase change of a material in a predetermined container arrangement subject to a heating arrangement. The method comprises the steps of: determining a set of basis functions from a plurality of temperature field snapshots for a corresponding material: representing an interface between a solid region of the material and a liquid region of the material as a boundary surface: iteratively updating the boundary surface over time based on calculated heat flux across the boundary to thereby update a volume of the solid region and a volume of the liquid region for the material in the container arrangement, each iteration comprising, calculating for the liquid region, using a temperature dependent thermal diffusivity function, a temperature distribution for the liquid region as a combination of the basis functions of the set of basis functions; and determining a time to establish a phase change of the material contained in the predetermined arrangement based on a convergence condition for the iterative updating.