Conduction–Convection Heat Transfer

Ganji, D.D.; Sabzehmeidani, Yaser; Sedighiamiri, A Amin

doi:10.1016/b978-0-12-812024-8.00002-3

Cited by 9 publications

(7 citation statements)

References 19 publications

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“…It is remarked that we develop new strategies which enable us to deal with more general source and medium configurations in the semilinear parabolic setup than the semilinear hyperbolic case. Finally, we would like to mention in passing some related physical applications that can be described by the semilinear parabolic systems in our study, including the heat diffusion [GSS18], mean-field game theory [Car13,GLL11] and phase field theory [BWBK02,KKL01]. The inverse problems proposed and studied in this paper can be connected to those practical applications.…”

Section: Background and Discussionmentioning

confidence: 92%

Simultaneous recoveries for semilinear parabolic systems

Lin¹,

Liu²,

Liu³

et al. 2022

Inverse Problems

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In this paper, we study inverse boundary problems associated with semilinear parabolic systems in several scenarios where both the nonlinearities and the initial data can be unknown. We establish several simultaneous recovery results showing that the passive or active boundary Dirichlet-to-Neumann operators can uniquely recover both of the unknowns, even stably in a certain case. It turns out that the nonlinearities play a critical role in deriving these recovery results. If the nonlinear term belongs to a general C1class but fulﬁlling a certain growth condition, the recovery results are established by the control approach via Carleman estimates. If the nonlinear term belongs to an analytic class, the recovery results are established through successive linearization in combination with special CGO (Complex Geometrical Optics) solutions for the parabolic system.

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Section: Background and Discussionmentioning

confidence: 92%

Simultaneous recoveries for semilinear parabolic systems

Lin¹,

Liu²,

Liu³

et al. 2022

Inverse Problems

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“…This is contrary to expectation, as radiative heat loss is a surface phenomenon and the surface-area-to-volume ratio of the 26 mm tube (1.80 cm −1 ) is significantly lower than the 13 mm tube (3.15 cm −1 ) for corresponding-volume beds. 36 However, in accordance with the Stefan-Boltzmann law of radiation (section S8, ESI †), 37 there is a greater…”

Section: Catalysis Science and Technology Papermentioning

confidence: 83%

Developing a microwave-driven reactor for ammonia synthesis: insights into the unique challenges of microwave catalysis

Melkote¹,

Muley

Dutta

et al. 2023

Catal. Sci. Technol.

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“…Heat transfer and transportation [1][2][3] is an essential engineering to design the power generator, engines, reactors, and electric devices, to describe the thermodynamic behavior in those systems and units and to develop nontraditional methods for energy saving, reduction of thermal waste, and efficient thermal management. In a sustainable society or in a circular economy toward the zero-carbon wastes and carbon neutrality [4], various mechanical and electrical systems must be designed to significantly minimize the energy consumption and thermal waste, to prevent them from the thermal damages and to prolong their lifetime and make full use of generated heat.…”

Section: Introductionmentioning

confidence: 99%

Heat Transportation by Acicular Micro-Textured Device with Semi-Regular Alignment

Aizawa,

Nakata,

Nasu

2024

Heat Transfer - Advances in Fundamentals and Applications

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Heat transportation device was developed to improve the cooling capacity through the heat convection process and to make low-temperature radiation from the heat source to the objective body in vacuum. This device consisted of the metallic substrate and the acicular micro−/nano-textures in semi-regular alignment. The micro-cone unit cell size and pitch in these textures was controllable by tuning the total current and the current density in the electrochemical processing. Four devices with various unit cell sizes and pitches were prepared for geometric characterization by SEM (Scanning Electron Miscopy) and for spectroscopic analyses on the IR-emittance by FT-IR (Fourier Transform-InfraRed) spectroscopy. Heat radiation experiment was performed to describe the heat transportation in vacuum from the heat source at 323 K to the objective plate. The texture size effect on the low-temperature heat radiation was investigated to build up a physical model for this heat radiation device. Heat convection experiment was also performed to describe the cooling capacity of device under the forced air flow. The unit cell height effect on the cooling behavior was discussed to deduce the physical model for this heat convection device. These models were considered to be used in the computational fluid mechanics simulations.

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Conduction–Convection Heat Transfer

Cited by 9 publications

References 19 publications

Simultaneous recoveries for semilinear parabolic systems

Simultaneous recoveries for semilinear parabolic systems

Developing a microwave-driven reactor for ammonia synthesis: insights into the unique challenges of microwave catalysis

Heat Transportation by Acicular Micro-Textured Device with Semi-Regular Alignment

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