Predicting the Temperature Profile in a Closed Vessel using a One-dimensional Analytical Heat Conduction Model with Time-varying Boundary Conditions
Abstract
This report documents the derivation for the temperature profile of an unsteady, one-dimensional, radial-driven heat conduction problem with time-varying boundary conditions for closed vessel applications. The solution was achieved using the shifting function method to develop a closed-form, analytical solution for the aforementioned configuration. An example case is also provided in this report to walkthrough the solution approach following the derivations. The methodology in this report can be leveraged for various closed vessel configurations if the time-varying heat transfer coefficient is fully defined as a function of time.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 2024
- Accession Number
- AD1224244
Entities
People
- Carlton Adam
- Christopher Houthuysen
- Luis Costa