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A linear - scattering phase function for solving radiative heat transfer equation (RTE) |
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| รหัสดีโอไอ | |
| Creator | B. Krittacom, P. Amatachaya and A. Klamnoi |
| Title | A linear - scattering phase function for solving radiative heat transfer equation (RTE) |
| Publisher | Thai Society of Mechanical Engineers |
| Publication Year | 2558 |
| Journal Title | Journal of Research and Applications in Mechanical Engineering |
| Journal Vol. | 3 |
| Journal No. | 2 |
| Page no. | 75-82 |
| Keyword | Scattering phase function, radiative heat transfer, linear equation, hemispherical emittances, gray media |
| ISSN | 2229-2152 |
| Abstract | A scattering-radiation phase function is proposed by the linear equation to be as the optional estimation of the radiative heat transfer equation (RTE) for the case of large diffusely reflective sphere. Simplified mathematics in calculating procedure is a prominent of the present method. Two arbitrary constants of the linear equation including of the slope and the value of the point in which the line cross the y-axis are determined by reproducing hemispherical emittances of isothermal, gray media bounded by a black surface. Thus, the presented equation is in the form of ?(?) = -1.616? + 1.082. Here, the ? is denoted by the quantity of scattering phase function and ? is the cosine of scattering angle. To validate the present linear scattering phase function, the conventional method (exact solution) and the solution of Henyey-greenstein approximation are compared. Agreement between the present equation and two mentioned equations is acceptable in the case of pure radiation problem. |
