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Togatorop, Keiichi Yoshua
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Education Materials Science & Nanotechnology Physics

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Modified time-dependent linear thermal expansion equation: using Inhomogeneous 1-D heat equation Taufani, Muhammad Rizka; Aminudin, Adam Hadiana; Syamsiah, Endah Nur; Togatorop, Keiichi Yoshua
Journal of Physics: Theories and Applications Vol 9, No 2 (2025): Journal of Physics: Theories and Applications
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jphystheor-appl.v9i2.110756

Abstract

The correction factor must be derived from the results of the linear thermal expansion experiment. We have two ways to address this problem: we use the form of polynomials for the linear thermal coefficient, and one must solve the one-dimensional heat diffusion equation. The temperature function that we obtained is the solution for the inhomogeneous differential equation. Using those two, then combine them into a modified linear thermal expansion equation, i.e., the infinitesimal form of the equation, so that we could find the expression for the time-dependent expansion for the metal rod, . We should attempt to reduce the higher-order terms by taking the approximation as our first step in this paper. Finally, the observer may choose a suitable boundary condition for the formula and use the resulting equation as the correction factor.
Co-Authors Aminudin, Adam Hadiana Syamsiah, Endah Nur Taufani, Muhammad Rizka