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Dynamic Properties in a Collisional Model for Confined Granular Fluids: A Review. [PDF]
Brito R, Soto R, Garzó V.
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MHD hybrid nanofluids and power law heat flux past a permeable surface with Joule heating impact. [PDF]
Zainal NA +5 more
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The Monod equation and mass transfer
Biotechnology and Bioengineering, 1995AbstractAn alternative interpretation of the growth rate–substrate concentration dependence is presented. This is based on the assumption that the main factors affecting growth rate are transfer of substrate from the medium and the maximum growth velocity, which is that observed when no substrate limitations occur.
J C, Merchuk, J A, Asenjo
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Refractive radiative transfer equation
ACM Transactions on Graphics, 2014We introduce a refractive radiative transfer equation to the graphics community for the physically based rendering of participating media that have a spatially varying index of refraction. We review principles of geometric nonlinear optics that are crucial to discuss a more generic light transport equation.
Marco Ament +2 more
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Differential Equation for the Transfer Matrix
International Journal of Theoretical Physics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shelykh, I. A., Ivanov, V. K.
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Basic Equations for Radiative Transfer
2020A light-ray (a bundle of photons) travels through and interacts with gaseous materials, via emission, absorption, and scattering. The intensity of a light-ray obeys a linear integro-differential equation, the so-called radiative transfer equation, which is just the Boltzmann equation for photons.
Shoji Kato, Jun Fukue
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Energy transfer for the Burgers’ equation
The Physics of Fluids, 1978The Burgers’ equation is considered as a simple nonlinear model equation in which to investigate energy transfer in the wavenumber domain. Spatially stationary (on the real line) random solutions are considered. The first-order nonlinear term for large time relating the spectrum and bispectrum (Fourier transform of third-order moments) of the random ...
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Transfer equation in accelerated media
Physical Review D, 1986The transfer equation for photons is obtained from the Lindquist formalism in curvilinear coordinates (no symmetry assumed), in an arbitrary frame and in any basis (natural or physical), to first order in O(v/c). Acceleration terms in the fluid are introduced via a modification of the metric tensor.
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Equations of transfer in non-local media
International Journal of Heat and Mass Transfer, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Validity conditions for the radiative transfer equation
Journal of the Optical Society of America A, 2003We compare the radiative transfer equation for media with constant refractive index with the radiative transfer equation for media with spatially varying refractive indices [J. Opt. A Pure App. Opt. 1, L1 (1999)] and obtain approximate conditions under which the former equation is accurate for modeling light propagation in scattering media with ...
Luis, Martí-López +4 more
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