Localized heating element distribution in composite metal foam‐phase change material: Fourier's law and creeping flow effects
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Energy Research"
DOI: 10.1002/er.6665
Abstract: A numerical parametric study is presented of a domestic thermal storage heat exchanger to explore the effect of highly localized positive temperature coefficient cylindrical heating elements in a phase change material (PCM) with conductive enhancement… read more here.
Keywords: fourier law; law creeping; metal foam; creeping flow ... See more keywords
Fractional powers of the noncommutative Fourier's law by the S‐spectrum approach
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5466
Abstract: Let eℓ, for ℓ = 1,2,3, be orthogonal unit vectors in R3 and let Ω⊂R3 be a bounded open set with smooth boundary ∂Ω. Denoting by x_ a point in Ω, the heat equation, for nonhomogeneous materials,… read more here.
Keywords: fourier law; law; fractional powers; spectrum approach ... See more keywords
Optimal large‐time estimates and singular limits for thermoelastic plate equations with the Fourier law
Sign Up to like & getrecommendations! Published in 2022 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.9349
Abstract: In this paper, we study asymptotic behaviors for classical thermoelastic plate equations with the Fourier law of heat conduction in the whole space $\mathbb{R}^n$, where we introduce a reduction methodology basing on third-order (in time)… read more here.
Keywords: thermoelastic plate; time; fourier law; methodology ... See more keywords
Effects of fractional derivative and heat source/sink on MHD free convection flow of nanofluids in a vertical cylinder: A generalized Fourier's law model
Sign Up to like & getrecommendations! Published in 2021 at "Case Studies in Thermal Engineering"
DOI: 10.1016/j.csite.2021.101518
Abstract: Abstract This research looked at the unsteady free convection flows of an incompressible viscous fluid with heat/sink in a vertical cylinder containing a mixture of 47 nm alumina nanoparticles in water. The flow direction is subjected… read more here.
Keywords: fourier law; law; free convection; vertical cylinder ... See more keywords
Exceptions to Fourier’s law at the macroscale
Sign Up to like & getrecommendations! Published in 2024 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2320337121
Abstract: Significance Traditional analysis of heat conduction in materials assumes that heat diffuses (Fourier’s law) with exceptions only at the nanoscale. Here, scrutinizing limits of this assumption, we examine translucent materials through which energy also transfers… read more here.
Keywords: exceptions fourier; law; law macroscale; fourier law ... See more keywords
Fractional powers of vector operators and fractional Fourier’s law in a Hilbert space
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aac9e3
Abstract: In this paper we give a concrete application of the spectral theory based on the notion of $S$-spectrum to fractional diffusion process. Precisely, we consider the Fourier law for the propagation of the heat in… read more here.
Keywords: vector; fourier law; law; diffusion ... See more keywords
Transport properties of mixed convective nano-material flow considering the generalized fourier law and a vertical surface: Concept of caputo-time fractional derivative
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy"
DOI: 10.1177/09576509221075110
Abstract: With improved characteristics and thermal stability, the nanoparticles show a significant interest in many engineering and industrial processes. The applications of nanomaterials include applications in solar energy systems, chemical reactors, heating and cooling processes, and… read more here.
Keywords: time; time fractional; fractional derivative; flow ... See more keywords