China
Africa
Explore chapters and articles related to this topic
The Monte Carlo Method
Published in John R. Howell, M. Pinar Mengüç, Kyle Daun, Robert Siegel, Thermal Radiation Heat Transfer, 2020
John R. Howell, M. Pinar Mengüç, Kyle Daun, Robert Siegel
In the special case of a medium at radiative equilibrium, the rate at which radiative energy is absorbed must equal the rate of emission at any location within the volume. Accordingly, bundles are only emitted from the surfaces that bound the medium. Any bundle absorbed by the medium is immediately re-emitted from the same location, in a way that is analogous to the treatment of re-radiating surfaces. The emissive power of a volume element can then be estimated from the number of bundles emitted by the volume.
Finite-Volume Method for Radiation Heat Transfer
Published in W.J. Minkowycz, E.M. Sparrow, Advances in Numerical Heat Transfer, 2018
Equation (7) defines an important quantity in combined mode heat transfer as well as in radiation-dominated processes. In the absence of a heat source/sink, a system is in radiative equilibrium if other modes of heat transfer are absent. Under such condition, ∇ • q = 0, and the temperature of the medium can be obtained from Eq. (7). In combined mode heat transfer processes with a participating medium, ∇ • q is the radiation source term in the energy equation.
Numerical study of thermal radiation heat transfer using lattice Boltzmann method
Published in Numerical Heat Transfer, Part B: Fundamentals, 2022
Souhail Souai, Saleh S. Baakeem, Soraya Trabelsi, Ezeddine Sediki, Abdulmajeed Mohamad
The radiative equilibrium condition means that the radiative emission is equal to radiative absorption. Hence, Eq. (2) is written with simple form as: where is the spectral incident radiation. is the solid angle. and are the azimuthal and polar angular respectively (illustrated in Figure 1).