Estimating Heat-Transport and Time-Delays in a Heat Exchanger

Hamze, Sandra; Witrant, Emmanuel; Bresch‐Pietri, Delphine; Fauvel, Clement

doi:10.1109/ccta.2018.8511359

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…While in the Ref. [37] heat exchanger is described with the hyperbolic first order differential equations. Furthermore, in Ref.…”

Section: Literature Overviewmentioning

confidence: 99%

Digital Twin of Heat Exchanger

Bobič¹

2023

Heat Transfer - Fundamentals, Enhancement and Applications

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How to create proper digital twin of plate heat exchange. The chapter will investigate alternatives for modeling and propose the best choices in modeling to trade-off between accuracy of the calculation vs. speed. Lump sum vs. distributed model, how to make plate model discrete, temperature distribution models, and details in heat exchange wall modeling will be considered. Last part would focus on experimental evaluation of the simulation using IR temperature vision measurements. Conclusions would take concrete examples of dynamic responses of heat exchange units, comparing numeric simulation with experimental results.

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“…While in the Ref. [37] heat exchanger is described with the hyperbolic first order differential equations. Furthermore, in Ref.…”

Section: Literature Overviewmentioning

confidence: 99%

Digital Twin of Heat Exchanger

Bobič¹

2023

Heat Transfer - Fundamentals, Enhancement and Applications

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“…• Time delay phenomena occurring in the interconnections of different parts of a system: As for such phenomena, authors in [6] used a space-averaging technique and the method of characteristics to propose a time-delay system modelling the flow temperatures of a heat exchanger; they believe that "time delay phenomena naturally occur in the interconnections of different parts of a system, as propagation of matter is not instantaneous. In particular, it occurs in tubular heat exchangers, which are very common devices in industry".…”

Section: Introductionmentioning

confidence: 99%

Differential Equations Models and Their Applications in Metallurgy

Selmi¹,

Alhazmi²,

Sboui³

et al. 2022

Int. J. Anal. Appl.

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This paper focus on the heat recovery from the metallurgical and mining wastes. We propose and study a new and more realistic mathematical model for heat recovery from molten slag. Our model is based on time delay differential equations. In the theoretical part, we prove that a unique solution exists to the mathematical problem. In the numerical part, we establish an algorithm based on explicit fourth order Runge-Kutta method with delay; the new feature is that the delay must be larger enough than the step of integration. Compared to the classical model (without time delay), the numerical test proves that our model is more efficient and industrially more profitable.

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“…The Heat Out term represents the heat that is dissipated by the power resistor to its surroundings due to conduction, convection and radiation. Although mathematical model of conduction is more complicated than of convection and radiation, as it involves partial differential equation (PDE) in its model, the solution is actually simple when modeled as a first order PDE, which is an introduction of transport delay in the readings of the temperature sensor (see Figure 3) (Hamze et al, 2018). However, in this paper, we decided not to include conduction for clarity and simplicity.…”

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confidence: 99%

An Energy Balance Model for a Small Educational Thermal Device

Kristiana

Manurung

2021

ELKOMIKA

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Pada paper ini, kami membahas mengenai suatu divais yang telah dikembangkan untuk menunjang proses belajar di tingkat universitas. Divais yang kami kembangkan dilengkapi dengan sebuah pemanas dan sebuah kipas. Kami menggunakan metode kesetimbangan energi untuk memodelkan divais tersebut, dimana nilai dari kapasitas panas, emissivity, dan koefisien transfer panas dihitung. Selain itu, kami juga mencari hubungan antara kecepatan putar kipas dengan perubahan koefisien transfer panas dengan menggunakan metode optimisasi. Hasil yang diperoleh menunjukkan bahwa model kesetimbangan energi dapat menghampiri keluaran sebenarnya dengan sangat baik dengan absolute error sebesar 9ºC. Pada tahap validasi, niliai absolute error yang diperoleh menjadi lebih tinggi, yakni 16ºC dan terjadi pada temperature tinggi. Sementara itu, kecepatan putar kipas berpengaruh secara linear terhadap perubahan koefisien transfer panas.

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Estimating Heat-Transport and Time-Delays in a Heat Exchanger

Cited by 4 publications

References 11 publications

Digital Twin of Heat Exchanger

Digital Twin of Heat Exchanger

Differential Equations Models and Their Applications in Metallurgy

An Energy Balance Model for a Small Educational Thermal Device

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