Multiobjective optimization of natural convection and entropy generation in a porous wavy cavity with a heated star-shaped obstacle using a hybrid nanofluid. [PDF]
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Performance analysis of a three-dimensional micromixer with baffles using a flexible physics-informed neural network. [PDF]
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The Analytical Solutions to a Cation-Water Coupled Multiphysics Model of IPMC Sensors. [PDF]
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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.
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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.
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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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