Localized heating element distribution in composite metal foam‐phase change material: Fourier's law and creeping flow effects
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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
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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
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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
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