OCR Text |
Show isotropic (10) Integrating these phase function in all solid angle, it becomes to 1 i21t . i21t - <I>(tl)sm"d" de=l 41t 0 0 (11) From Eqs.(9) and (10), the behavior of scattering angle may be defined and shown in Fig.2. Next, the wall surface is also assumed to be gray and diffuse, on which the total radiative energy from an infinitesimal surface dA is emitted by dQ =e aT 4dA m w w (12) The energy emitted to a direction 8, Tl for applying Lambert's cosine low is given by (13) If an incident radiative energy dQw arrives at the wall surface, the amount of e wdQw is absorbed and the other dQr=(1- e w)dQw is reflected by the surface. Then, the reflected energy to a direction e, Tl is also given by (14) 3. Numerical analysis and results in gray mixture of gas and particle The radiative heat transfer is analyzed in the model of one-dimensional gray gas mixture between two gray walls as shown in Fig.3. The mixture slab may be divided into many elements for numerical analysis. The temperature profile in these elements can be obtained by a heat balance, where Qin is a radiative heat input and Qout is another radiative heat output fer one of the elements. But, wall surface has a heat input Qa and |