749 research outputs found

    Selected Papers from the 10th International Conference on Inverse Problems in Engineering (ICIPE 22)

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    This Special Issue of the Heat Transfer Engineering Journal contains nine papers presented at the 10th International Conference on Inverse Problems in Engineering (ICIPE 22), hosted by the Department of Industrial and Information Engineering and Economics, University of L’Aquila, Italy, and held in Francavilla al Mare (Chieti), May 15–19, 2022

    Transient heat conduction in one-dimensional composite slab. A 'natural' analytical approach

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    The transient response of one-dimensional multilayered composite conducting slabs to sudden Variations of the temperature of the surrounding fluid is analysed. The solution is obtained applying the method of separation of variables to the heat conduction partial differential equation. In separating the variables, the thermal diffusivity is retained on the side of the modified heat conduction equation where the time-dependent function is collected. This choice is the essence of composite medium analysis itself. In fact, it 'naturally' gives the relationship between the eigenvalues for the different regions and then yields a transcendental equation for the determination of the eigenvalues in a less complex form than the ones resulting from the application of traditional techniques. A new type of orthogonality relationship is developed by the author and used to obtain the final complete series solution. The errors, which develop when the higher terms in the series solution are neglected, are also investigated. Some calculated results of a numerical example are shown in a graphical form, by using dimensionless groups, and therefore discussed

    10th International Conference on Inverse Problems in Engineering ICIPE 22, May 15 – 19, 2022, Francavilla al Mare (Chieti), Italy,

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    This Proceedings of the Journal of Physics: Conference Series contains a subset of papers presented at the 10th International Conference on Inverse Problems in Engineering (ICIPE), hosted by the Department of Industrial and Information Engineering and Economics, University of L’Aquila, Italy, and held in Francavilla al Mare (Chieti), May 15 – 19, 2022. Due to Coronavirus emergency and to protect the health and safety to all our participants, the 10th Edition, scheduled during May 18-21, 2020, and then May 16-20, 2021, was postponed to May 15-19, 2022, and termed as ICIPE 22. Since the first ICIPE in 1993, this conference has served as the main international venue for collaboration and interaction between applied mathematicians who develop inverse analysis tools, and engineers who use these tools in many different disciplines of science such as manufacturing and machining processes, medical imaging, oil exploration, radar, sonar and seismology, space applications, non-destructive testing and so on. The 2022 meeting continued this tradition, with more than 50 delegates from many sub-disciplines of engineering, science, and applied mathematics. The number of participants was lower than the standard number of 80 – 120 due to both covid travel restrictions in some Asian and American countries and conflict in Ukraine

    Selected Papers from the 10th International Conference on Inverse Problems in Engineering ICIPE 22, May 15 – 19, 2022, Francavilla al Mare (Chieti), Italy

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    This Special Section of the ASME Journal VVUQ contains two papers presented at the 10th International Conference on Inverse Problems in Engineering (ICIPE), hosted by the Department of Industrial and Information Engineering and Economics, Univer sity of L’Aquila, Italy, and held in Francavilla al Mare (Chieti), May 15–19, 2022. Since the first ICIPE in 1993, this conference has served as the main international venue for collaboration and interaction between applied mathematicians who develop inverse analysis tools, and engineers who use these tools in many different disci plines of science such as manufacturing and machining processes, medical imaging, oil exploration, radar, sonar and seismology, space applications, nondestructive testing and so on. The 2022 meeting continued this tradition, with more than 50 delegates from many subdisciplines of engineering, science, and applied mathematics. The number of participants was lower than the standard number of 80–120 due to both covid travel restric tions in some Asian and American countries and conflict in Ukraine

    Modeling of Mass Transport Processes in Biological Media

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    Modeling of Mass Transport Processes in Biological Media focuses on applications of mass transfer relevant to biomedical processes and technology—fields that require quantitative mechanistic descriptions of the delivery of molecules and drugs. This book features recent advances and developments in biomedical therapies with a focus on the associated theoretical and mathematical techniques necessary to predict mass transfer in biological systems. The book is authored by over 50 established researchers who are internationally recognized as leaders in their fields. Each chapter contains a comprehensive introductory section for those new to the field, followed by recent modeling developments motivated by empirical experimental observation. Offering a unique opportunity for the reader to access recent developments from technical, theoretical, and engineering perspectives, this book is ideal for graduate and postdoctoral researchers in academia as well as experienced researchers in biomedical industries

    Initial guesses for computing eigenvalues of Sturm-Liouville problems of multi-dimensional multi-layer unsteady heat conduction

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    The paper analyses the transverse eigenvalue problem of Sturm-Liouville type associated with the time-dependent heat conduction in two-component rectangular domains. In particular, it describes how the physical insight of a ‘homogeneous rectangular region’ thermally and geometrically equivalent to the considered 2-D two-layered region in the transverse direction is capable of providing useful and reasonably accurate information about the initial guesses for the roots (eigenvalues) of the transverse eigencondition. This information, in fact, enables one to establish starting points for a root-finding iteration (e.g., Müller's method) so that convergence of the iteration may absolutely be guaranteed. Representative test examples are computed to illustrate the accuracy, reliability, and efficiency of the proposed fully automated solution algorithm when the two layers have the same thermal diffusivity and are perfectly jointed

    Calculation of the Thermodynamic properties of R407C and R410A by the martin-Hou equation of state. Part II. Technical interpretation

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    Results are technically interpreted that follow from the theoretical analyses and numerical calculations of the thermodynamic properties of vapour R407C and R410A in terms of the Martin-Hou equation of state. All aspects of the theoretical approach derived in the first part of this study are investigated. In particular, the influence of temperature on either thermodynamic property of the HFC-refrigerant mixtures here under consideration is established, together with the overriding influence of the pressure (that accounts for the gas compressibility effects) in characterising these properties

    Unsteady heat conduction in two-dimensional two slab-shaped regions. Exact closed-form solution and results

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    The unsteady heat conduction analysis for multi-directional piecewise-homogeneous bodies is generally held to be complex and demanding, possibly explaining why practical guidelines for thermal field calculation are few and far between. The proposed solution method represents an extension of the new, ÔnaturalÕ analytic approach derived in companion papers for solving one-dimensional multi-layer problems of time-dependent heat conduction. As the ap- proach is new, it is presented in full, together with the complete temperature double-series solution prepared for computer implementation. By setting thermal diffusivity ratio unitary and assuming a uniform distribution of initial temperature, it emerges that, all other things being equal, the transient thermal response can be expressed as the product of two, separated, one-directional solutions, one across the layers and the other along the composite slab. The for- mulation deals properly with thermal conductivity ratios of all magnitudes. An efficient and accurate procedure of computing eigenvalues is given. Graphical and numerical output is presented and discussed

    An analytic approach to the unsteady heat conduction processes in one-dimensional composite media

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    The transient heat conduction problems in one-dimensional multi-layer solids are usually solved applying con- ventional techniques based on Vodicka’s approach. However, if the thermal diffusivity of each layer is retained on the side of the heat conduction equation modified from the application of the separation-of-variables method where the time-dependent function is collected, then the modified heat conduction equation by itself represents a transparent statement of the physical phenomena involved. This ‘natural’ choice so simplifies unsteady heat conduction analysis of composite media that thermal response computation reduces to a matter of relatively simple mathematics when compared with traditional techniques heretofore employed

    Multi-layer transient heat conduction using transition time scales

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    The solution of multi-layer transient heat conduction problems may be simplified by analyzing the different transition times of the various layers of a composite slab. These transition times, in fact, allow the ‘disturbance’ effect of each layer on the eigenvalues of the composite slab to be analyzed and estimated. It was found that the eigenvalues may be obtained in the first approximation by merging in increasing order the suitable corrected eigenvalues of each layer for which explicit equations are available. The errors in the resulting dimensionless temperatures are of one order of magnitude larger than the deviations between the exact and approximate eigenvalues. In particular, when one of the two outer boundaries is kept at constant temperature and the transition times of the layers are quite different, the eigenvalues may be written down very simply as the eigenvalues of the layer whose exposed surface is not at prescribed temperature. In this paper the temperature solution for the case of a two-layer slab with interlayer thermal contact resistance is presented
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