Conduction of Heat in Solids, Second Edition

Carslow, H. S.; Jaeger, J. C.; Morral, J. E.

doi:10.1115/1.3225900

Cited by 319 publications

(166 citation statements)

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“…On the other hand, Eq. (10) is widely known in the theory of heat conductivity and diffusion [20] and also in the description of quasistatic electromagnetic fields, Foucault currents, and the skin effect in conductors [21]. The previously derived parabolic equation is valid whenever the following inequalities are satisfied…”

Section: Maxwell Equations and The Electromagnetic Areamentioning

confidence: 99%

Maxwell-Drude-Bloch dissipative few-cycle optical solitons

2010

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We study the propagation of few-cycle pulses in a two-component medium consisting of nonlinear amplifying and absorbing two-level centers embedded into a linear and conductive host material. First we present a linear theory of propagation of short pulses in a purely conductive material and demonstrate the diffusive behavior for the evolution of the low-frequency components of the magnetic field in the case of relatively strong conductivity. Then, numerical simulations carried out in the frame of the full nonlinear theory involving the Maxwell-Drude-Bloch model reveal the stable creation and propagation of few-cycle dissipative solitons under excitation by incident femtosecond optical pulses of relatively high energies. The broadband losses that are introduced by the medium conductivity represent the main stabilization mechanism for the dissipative few-cycle solitons.

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Section: Maxwell Equations and The Electromagnetic Areamentioning

confidence: 99%

Maxwell-Drude-Bloch dissipative few-cycle optical solitons

2010

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“…Under a constant supply of electric power, heat is then generated from the hot wire at a constant rate and transfers into the sample surrounding it mainly by conduction. If we consider the sample as a semi-infinite cylindrical system, in which a line heat source is vertically placed, then the heat conduction equation can be written as follows: 34) ................. (1) Here, Q corresponds to the heat generation per unit length of the hot wire. Solving this equation gives us:…”

Section: Non-steady-state Methodsmentioning

confidence: 99%

Thermal Conductivity of Molten Slags: A Review of Measurement Techniques and Discussion Based on Microstructural Analysis

Kang¹,

Morita²

2014

ISIJ Int.

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In order to properly interpret the thermal conductivity of molten silicate slags, several different measurement methods are briefly reviewed, along with a discussion as to their respective advantages and limitations. In addition, a large number of thermal conductivity values measured by these methods are assessed, in order to evaluate their dependence on composition and temperature. The behavior of the thermal conductivity of molten silicate slags was found to show good agreement with well-focused analyses into its microstructure. Moreover, with an improved understanding of the microstructure of silicate slags, there is an apparent co-relation between thermophysical properties such as thermal conductivity, viscosity, and so forth.KEY WORDS: thermal conductivity; molten slag; silicate; hot-wire method; laser flash method.

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“…Characteristic length scales for diffusion include the membrane thickness and the environmental length scale associated with the pesticide transport distance once released. Numerous historical and mathematical descriptions for pesticide loss from microcapsules can be found elsewhere (Carslow and Jaeger, 1959;Collins and Doglia, 1973;Collins, 1974;Kydenieus, 1980, Coswar, 1981Crank, 1993;Mogul et al, 1996) C = concentration of pesticide within the capsule (assumed uniform throughout capsule). C o = initial concentration of pesticide within the capsule for t ≤ 0.…”

Section: Diffusion Model Developmentmentioning

confidence: 99%

Efficacious Considerations for the Design of Diffusion Controlled Pesticide Release Formulations

Cryer¹

2011

Pesticides - Formulations, Effects, Fate

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Conduction of Heat in Solids, Second Edition

Cited by 319 publications

References 0 publications

Maxwell-Drude-Bloch dissipative few-cycle optical solitons

Maxwell-Drude-Bloch dissipative few-cycle optical solitons

Thermal Conductivity of Molten Slags: A Review of Measurement Techniques and Discussion Based on Microstructural Analysis

Efficacious Considerations for the Design of Diffusion Controlled Pesticide Release Formulations

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