Finally, the results show that as the air temperature at the inlet of roadway is 25 °C, the roadway wall is covered by heat-absorbing plate up to 39% of the area, as well as the cold water is injected into the heat-absorbing plate with a temperature of 20 ° C and a mass flow ...
Assuming that the absorbing layer is optically thick, and applying the proper the boundary condition to the continuity of the heat flux and the temperature rise at each interface for both the out of plane and in plane configuration, the solutions to Eq. (24) can be obtained with the help ...
This is related to the nature of the observability inequalities for the adjoint heat equation that are unable to provide estimates on the solutions at t = T because of the very strong smoothing effect. In fact, as indicated in the context of the constant-coefficient heat equation, even when ...
The integral form of the equation of radiative transfer is developed for an absorbing, emitting, gray, isotropically scattering, inhomogeneous, solid cylinder with internal energy sources, subjected to externally incident radiation, and having both specular and diffuse reflection at the boundary surface....
Define The wave equation. The wave equation synonyms, The wave equation pronunciation, The wave equation translation, English dictionary definition of The wave equation. n. 1. A differential or partial differential equation used to represent wave motion.
. Absorbing the first term on right to the left hand side and combining this with |\nabla \phi | \le \varepsilon ^{-9/10}, we obtain for \varepsilon sufficiently small (depending on n, k_0 and \kappa ) \begin{aligned} \frac{\kappa }{2\varepsilon } \int _{B_r(x) \cap ...
When a decomposition reaction takes place by absorbing heat, it is known as a thermal decomposition reaction. When sodium hydrogen carbonate (baking soda) is heated strongly, baking soda gets decomposed into sodium carbonate, carbon dioxide, and water. ...
We present a method for solving the radiative transfer equation appropriate for its solution in the circumstellar environment of B[e] stars. The problem is solved in two dimensions in axial symmetry. The velocity field in the radiative transfer is included using the Lorentz transformation, which ...
This paper introduces a powerful but simple methodology for solving the general equation of radiative transfer for scattering and/or absorbing one-dimensio... SA Kumar,A Majumdar,CL Tien - 《Journal of Heat Transfer》 被引量: 92发表: 1990年 A differential quadrature algorithm for simulations of ...
However, a black hole is a near-perfect blackbody absorbing all radiation that falls on them. Is a human an example of a blackbody? Like other objects, the human body emits blackbody radiation due to its internal temperature. It is not a perfect blackbody, however....