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On the demonstration of the Young-Laplace equation in introductory physics courses

Julio Pellicer‐Porres, Vladimir Garcı́a-Morales, M. J. Hernández

Open publisher page 74 citations

Abstract

The Young-Laplace equation is usually introduced using mechanical rather than thermodynamic arguments when teaching surface phenomena at an elementary level. We discuss here three mechanical methods to deduce this equation, with the intention of avoiding certain misunderstandings that are found in these derivations, thus providing the correct demonstrations of the equation.

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The Young-Laplace equation is usually introduced using mechanical rather than thermodynamic arguments when teaching surface phenomena at an elementary level. We discuss here three mechanical methods to deduce this equation, with the intention of avoiding certain misunderstandings that are found in these derivations, thus providing the correct demonstrations of the equation.

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OpenAlex reports 74 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The Young-Laplace equation is usually introduced using mechanical rather than thermodynamic arguments when teaching surface phenomena at an elementary level. We discuss here three mechanical methods to deduce this equation, with the intention of avoiding certain misunderstandings that are found in these derivations, thus providing the correct demonstrations of the equation.

Key concepts: Laplace's equation, Laplace transform, Structural equation modeling, Green's function for the three-variable Laplace equation, Physics, Calculus (dental), Mathematics education, Mathematics

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