What is it about?
This technical note proposes a new method for estimating the temperature of gases given their enthalpy using complicated mathematical equations called NASA polynomials. The method uses a projection technique to create a simpler fourth-order polynomial that can be easily solved to obtain an estimate of the temperature. This new method is more efficient than traditional methods, requiring fewer calculations to achieve similar levels of accuracy. It is a useful tool for engineers and scientists who need to estimate the temperature of gases in various applications.
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Why is it important?
This work is important for two reasons. First, the method can eliminate an iterative step in your solution by making it unconditionally stable. Secondly, the method is shown to require a smaller number of steps in order to converge compared to traditional iterative techniques. Additionally, the method shown is general and the method can be applied to many other problems that may have other functions to be approximated.
Perspectives
This work was a satisfying exploration into the method of weighted residuals as a continuous form of curve-fitting, specifically least-squares.
Andrew Oliva
University of Notre Dame
Read the Original
This page is a summary of: Method for Efficient Evaluation of Temperature Using the NASA Polynomials, AIAA Journal, October 2023, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/1.j063153.
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