Analytic Approximations for a Strongly Nonlinear Problem of Combined Convective and Radiative Cooling of a Spherical BodySource: Journal of Heat Transfer:;2009:;volume( 131 ):;issue: 011::page 111703Author:A. El-Nahhas
DOI: 10.1115/1.3154625Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a nonlinear problem for combined convective and radiative cooling of a spherical body is considered. This problem represents a strong nonlinearity in both the governing equation and the boundary condition. Analytic approximations for the solution of this problem are obtained using the homotopy analysis method and via a polynomial exponential basis. Also, the effect of the radiation-conduction parameter Nrc and the Biot number Bi for the temperature on the surface of the spherical body is investigated and discussed.
keyword(s): Temperature , Cooling , Radiation (Physics) , Heat conduction , Approximation , Equations AND Boundary-value problems ,
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| contributor author | A. El-Nahhas | |
| date accessioned | 2017-05-09T00:33:34Z | |
| date available | 2017-05-09T00:33:34Z | |
| date copyright | November, 2009 | |
| date issued | 2009 | |
| identifier issn | 0022-1481 | |
| identifier other | JHTRAO-27874#111703_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/140941 | |
| description abstract | In this paper, a nonlinear problem for combined convective and radiative cooling of a spherical body is considered. This problem represents a strong nonlinearity in both the governing equation and the boundary condition. Analytic approximations for the solution of this problem are obtained using the homotopy analysis method and via a polynomial exponential basis. Also, the effect of the radiation-conduction parameter Nrc and the Biot number Bi for the temperature on the surface of the spherical body is investigated and discussed. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Analytic Approximations for a Strongly Nonlinear Problem of Combined Convective and Radiative Cooling of a Spherical Body | |
| type | Journal Paper | |
| journal volume | 131 | |
| journal issue | 11 | |
| journal title | Journal of Heat Transfer | |
| identifier doi | 10.1115/1.3154625 | |
| journal fristpage | 111703 | |
| identifier eissn | 1528-8943 | |
| keywords | Temperature | |
| keywords | Cooling | |
| keywords | Radiation (Physics) | |
| keywords | Heat conduction | |
| keywords | Approximation | |
| keywords | Equations AND Boundary-value problems | |
| tree | Journal of Heat Transfer:;2009:;volume( 131 ):;issue: 011 | |
| contenttype | Fulltext |