{"title":"Frosting on porous membranes in energy exchangers.","authors":"Melanie Fauchoux, Amirreza Mahmoudi, Siddhartha Gollamudi, Shirin Niroomand, Pooya Navid, Albin Joseph, Carey Simonson","doi":"10.1098/rsta.2024.0365","DOIUrl":"10.1098/rsta.2024.0365","url":null,"abstract":"<p><p>A liquid-to-air membrane energy exchanger (LAMEE) is a device that uses a semi-permeable membrane to transfer heat and moisture between an air stream and a liquid stream. In cold climates, they can be used to dehumidify an air stream and reduce or even prevent frost formation inside the exchanger. Understanding the mechanisms of frosting and the frost limits on membranes is essential for advancing the applications of LAMEEs in cold conditions. This paper combines a review of previously published research on the growth of frost on a membrane surface, compared to an impermeable surface, along with new experimental results that extend the applications of the frost research to cover more air temperature and relative humidity (RH) conditions. Frost limit maps are created for various operating conditions using an analytical model and verified with experimental results. These maps indicate the liquid temperature and air RH values that will result in frost conditions on the membrane surface. It was found that when the air temperature is 23°C, the liquid temperature could be lowered by 2°C-3°C at a constant RH level without frost appearing on the surface as compared to an impermeable surface, and when the air temperature is 0°C, the liquid temperature could be lowered by approximately 5°C compared to the impermeable surface. The results show that a porous membrane has great potential to create frost-free energy exchangers.This article is part of the theme issue 'Heat and mass transfer in frost and ice'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20240365"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12289186/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Is energy local? Counterintuitive non-locality of energy in General Relativity can be naturally explained on the Newtonian level.","authors":"Olga Kosheleva, Vladik Kreinovich","doi":"10.1098/rsta.2023.0290","DOIUrl":"https://doi.org/10.1098/rsta.2023.0290","url":null,"abstract":"<p><p>From the physics viewpoint, energy is the ability to perform work. To estimate how much work we can perform, physicists developed several formalisms. For example, for the fields, once we know the Lagrangian, we can find the energy density and, by integrating it, estimate the overall energy of the field. Usually, this adequately describes how much work this field can perform. However, there is an exception-gravitational field in General Relativity. The known formalism to compute its energy density leads to 0-and by integrating this 0, we get a counterintuitive conclusion that the overall energy of the gravitational field is 0-while hydroelectric power stations that produce a significant portion of world's energy show that gravity <i>can</i> perform a lot of work and thus, has non-zero energy. The usual solution to this puzzle is that for gravity, energy is not localized. In this paper, we show (i) that non-locality of energy can be explained already on the Newtonian level, (ii) that the discrepancy between energy as ability to perform work and energy as described by the Lagrangian-based formalism is ubiquitous even in the Newtonian case and (iii) that there may be a possible positive side to this non-locality: it may lead to faster computations.This article is part of the theme issue 'Newton, <i>Principia</i>, Newton Geneva Edition (17th-19th) and modern Newtonian mechanics: heritage, past & present'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20230290"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the viability of higher-order theories.","authors":"Stefano Ansoldi, Aaron Collavini","doi":"10.1098/rsta.2023.0286","DOIUrl":"https://doi.org/10.1098/rsta.2023.0286","url":null,"abstract":"<p><p>In physics, all dynamical equations that describe fundamental interactions are second-order differential equations in the time derivatives. In the literature, this property is traced back to a result obtained by Ostrogradski in the mid-nineteenth century, which is the technical basis of a <i>no-go</i> theorem for higher-order theories. In this work, we review the connection of symmetry properties with the order of dynamical equations, before reconsidering Ostrogradski's result. Then, we show how Ostrogradski's conclusion is reached by applying to higher-order theories concepts and methods that have been specifically developed for second-order theories. We discuss a potential lack of consistency in this approach, to support the claim that Ostrogradski's result applies to a class of higher-order theories that is nowhere representative of generic ones: we support this claim by giving an example of a higher-order Lagrangian that is asymptotically stable, but that would be unstable under Ostrogradski's criterion. We also conclude that, when considering higher-order theories as fundamental, we may need to reconsider and extend the conceptual framework on which our standard treatment of second-order theories is based.This article is part of the theme issue 'Newton, Principia, Newton Geneva Edition (17th-19th) and modern Newtonian mechanics: heritage, past & present'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20230286"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Preface to 'Newton, <i>Principia</i>, Newton Geneva Edition (17<sup>th</sup>-19<sup>th</sup>) and modern Newtonian mechanics: heritage, past & present'.","authors":"Raffaele Pisano","doi":"10.1098/rsta.2025.0092","DOIUrl":"10.1098/rsta.2025.0092","url":null,"abstract":"","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20250092"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12289195/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Prasenjit Kabi, Simrandeep Bahal, Manish K Tiwari, Emerson Barbosa Dos Anjos, Carolina Palma Naveira-Cotta, Renato Machado Cotta
{"title":"Experimental-theoretical analysis of cooling and freezing of a droplet in contact with a cold substrate: influence of substrate wettability.","authors":"Prasenjit Kabi, Simrandeep Bahal, Manish K Tiwari, Emerson Barbosa Dos Anjos, Carolina Palma Naveira-Cotta, Renato Machado Cotta","doi":"10.1098/rsta.2024.0363","DOIUrl":"10.1098/rsta.2024.0363","url":null,"abstract":"<p><p>The physics and modelling of cooling and freezing of droplets in contact with a colder substrate are of interest in various engineering applications. This work provides experimental results of this process employing infrared thermography for temperature measurements at the droplet's surface. Also, a high-speed camera is employed to observe the recalescence period and measure the freezing front movement and the droplet shape change. Three substrates are prepared with distinct wettability ranges, i.e. one hydrophilic and two hydrophobic surfaces. From the experimental observation of a solidification front parallel to the substrate plane, a mixed lumped-differential model of the heat transfer process based on the Coupled Integral Equations Approach is proposed, reformulating the two-dimensional partial differential formulation in cylindrical coordinates into a one-dimensional transient energy equation for the droplet external surface temperature. Direct comparisons of the experimental and theoretical results for the supercooling period show excellent agreement for the droplet surface temperatures at different heights and for different values of the substrate-droplet contact angle. It is also shown that the classical partial lumped system analysis does not provide adequate predictions in the present problem. Finally, the dynamics of the recalescence and freezing stages are experimentally evaluated and physically interpreted.This article is part of the theme issue 'Heat and mass transfer in frost and ice'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20240363"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12289212/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The separability problem in quantum mechanics: insights from research on axiomatics and human language.","authors":"Diederik Aerts, Jonito Aerts Arguelles, Lester Beltran, Massimiliano Sassoli de Bianchi, Sandro Sozzo","doi":"10.1098/rsta.2023.0284","DOIUrl":"https://doi.org/10.1098/rsta.2023.0284","url":null,"abstract":"<p><p>Einstein's article on the Einstein-Podolsky-Rosen paradox is the most cited of his works, but not many know that it was not fully representative of the way he thought about the incompleteness of the quantum formalism. Indeed, his main worry was not Heisenberg's uncertainty principle, which he accepted, but the experimental <i>non-separability</i> of spatially separate systems. The same problem was also recognized, years later, by one of us, as part of an axiomatic analysis of the quantum formalism, which revealed an unexpected structural limitation of the quantum formalism in Hilbert space, preventing the description of separate systems. As we will explain, this limitation does not manifest at the level of the states, but of the projectors describing the properties, in the sense that there are not enough properties in the formalism to describe separate systems. The question remains whether <i>separability</i> is a possibility at the fundamental level and if a formalism should integrate it into its mathematical structure, as a possibility. To aid our intuition, we offer a reflection based on a powerful analogy between physical systems and human conceptual entities, as the question of separability also arises for the latter.This article is part of the theme issue 'Newton, <i>Principia</i>, Newton Geneva Edition (17th-19th) and modern Newtonian mechanics: heritage, past & present'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20230284"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Special issue on heat and mass transfer in frost and ice.","authors":"S A Sherif, Nesrin Ozalp","doi":"10.1098/rsta.2024.0370","DOIUrl":"10.1098/rsta.2024.0370","url":null,"abstract":"","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20240370"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12289184/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Genevan encounters with Newton. Gabriel Cramer, Jean-Louis Calandrini and the annotated edition of the <i>Principia</i>.","authors":"Philip Beeley","doi":"10.1098/rsta.2023.0277","DOIUrl":"10.1098/rsta.2023.0277","url":null,"abstract":"<p><p>The named editors of the annotated edition of Newton's <i>Principia</i>, François Jacquier and Thomas Le Seur, saw their painstaking enterprise as a decisive means to making the great polymath's work more accessible. As this article makes clear, the Genevan edition was above all a collaborative enterprise, resting crucially on the contributions of the two Genevan mathematicians Jean-Louis Calandrini and Gabriel Cramer, both of whose expertise complemented and, in some respects, exceeded that of the two Minim priests based in Rome, while also being attuned to contemporary scientific discussion involving the foremost scientific figures of the time, such as Euler, Clairaut, d'Alembert and the Bernoulli. Focusing in particular on the debate over Newton's theory of the Moon, the article reveals the importance of Calandrini's and Cramer's scientific networks for understanding the production and reception of the Geneva edition.This article is part of the theme issue 'Newton, <i>Principia</i>, Newton Geneva Edition (17th-19th) and modern Newtonian mechanics: heritage, past & present'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20230277"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12289185/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Astrophysics: a modern discipline with a Newtonian origin.","authors":"Maria Paola Vaccaro","doi":"10.1098/rsta.2023.0294","DOIUrl":"https://doi.org/10.1098/rsta.2023.0294","url":null,"abstract":"<p><p>Understanding the formation and evolution of stellar-mass binary black holes (BBHs) requires a thorough investigation of the key physical processes involved. While one pathway involves the isolated evolution of massive binary stars, affected by uncertain stages like core-collapse supernovae and common envelope evolution, an alternative channel is dynamical formation in dense stellar environments. Newtonian gravity has traditionally provided a robust and computationally efficient framework for modeling large-scale gravitational interactions. However, accurately capturing close encounters and black hole mergers necessitates the use of general relativity. This work focuses on assessing the applicability of post-Newtonian gravity in bridging these regimes, offering a physically insightful and computationally tractable approach to modeling BBH formation in the gravitational-wave era of astronomy.This article is part of the theme issue 'Newton, <i>Principia</i>, Newton Geneva Edition (17th-19th) and modern Newtonian mechanics: heritage, past & present'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20230294"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Tychonic worries on Newton: comments from Book III of the 1822 Geneva Edition of <i>Principia Mathematica</i>.","authors":"Flavia Marcacci","doi":"10.1098/rsta.2023.0281","DOIUrl":"https://doi.org/10.1098/rsta.2023.0281","url":null,"abstract":"<p><p>The third book of Isaac Newton's <i>Principia Mathematica Philosophia Naturalis</i> rigourously established the case for heliocentrism by integrating observations and Kepler's laws. It is structured around two main hypotheses: first, that the cosmos has a static centre located at the centre of planetary motion, and second, that if the Earth itself moved, this would concord with observational data. The first hypothesis directly mentions the possibility of having the Earth as a centre, even if all the propositions claim that the correct centre is the Sun. The Minim Friars Thomas Le Seur (1703-1770) and François Jacquier (1711-1788), along with their editor Jean-Louis Calandrini, chose to collaborate and publish their influential commentary in Geneve [Newton I. 1822 <i>Philosophiae naturalis mathematica principia, auctore isaaco newtono, eq. aurato, perpetuis commentariis illustrata, communi studio pp. thomae le seur et francisci jacquier ex gallicana minimorum familia, matheseos professorum</i>. vol. 4. Glasgow, Scotand: Duncan]-probably to avoid the Catholic prohibition on promoting heliocentrism. This article examines key contributions by these commentators, highlighting their strong scientific focus and commitment to strengthening heliocentric principles in astronomy. It also discusses the educational aim evident in many extensive notes, especially on propositions that stress the transition from geo-heliocentric to heliocentric perspectives (notably propositions 4, 13, 14 and 16).This article is part of the theme issue 'Newton, <i>Principia</i>, Newton Geneva Edition (17th-19th) and modern Newtonian mechanics: heritage, past & present'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"383 2301","pages":"20230281"},"PeriodicalIF":4.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144650078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}