On thermal boundary layers on a flat plate subjected to a variable heat flux
The problem of a steady forced convection thermal boundary-layer past a flat plate with a prescribed surface heat flux proportional to (1+x2)^m (m a constant) is investigated both analytically and numerically. In view of the present formulation, the governing equations reduce to the well-known Blasi...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
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2011
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| Online Access: | https://hdl.handle.net/10356/94148 http://hdl.handle.net/10220/7078 |
| _version_ | 1826124932938989568 |
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| author | Shu, Jian Jun Pop, I. |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Shu, Jian Jun Pop, I. |
| author_sort | Shu, Jian Jun |
| collection | NTU |
| description | The problem of a steady forced convection thermal boundary-layer past a flat plate with a prescribed surface heat flux proportional to (1+x2)^m (m a constant) is investigated both analytically and numerically. In view of the present formulation, the governing equations reduce to the well-known Blasius similarity equation and to the full boundary-layer energy equation with two parameters: the wall flux exponent m and Prandtl number Pr. The range of existence of solutions is considered, it being shown that solutions for both x small and x large exist only for m>−1/2. However, for m−1/2 the asymptotic structure for x large is found to be different for m<−1/2 and m=−1/2, respectively. These asymptotic solutions for large x are derived and compared with numerical solutions of the full boundary-layer equation. A very good agreement between these asymptotic solutions and numerical simulations are found in the range of Prandtl numbers considered. |
| first_indexed | 2024-10-01T06:28:27Z |
| format | Journal Article |
| id | ntu-10356/94148 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:28:27Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | ntu-10356/941482023-03-04T17:12:14Z On thermal boundary layers on a flat plate subjected to a variable heat flux Shu, Jian Jun Pop, I. School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics The problem of a steady forced convection thermal boundary-layer past a flat plate with a prescribed surface heat flux proportional to (1+x2)^m (m a constant) is investigated both analytically and numerically. In view of the present formulation, the governing equations reduce to the well-known Blasius similarity equation and to the full boundary-layer energy equation with two parameters: the wall flux exponent m and Prandtl number Pr. The range of existence of solutions is considered, it being shown that solutions for both x small and x large exist only for m>−1/2. However, for m−1/2 the asymptotic structure for x large is found to be different for m<−1/2 and m=−1/2, respectively. These asymptotic solutions for large x are derived and compared with numerical solutions of the full boundary-layer equation. A very good agreement between these asymptotic solutions and numerical simulations are found in the range of Prandtl numbers considered. Accepted version 2011-09-16T00:46:46Z 2019-12-06T18:51:32Z 2011-09-16T00:46:46Z 2019-12-06T18:51:32Z 1998 1998 Journal Article Shu, J. J., & Pop, I. (1998). On thermal boundary layers on a flat plate subjected to a variable heat flux. International Journal of Heat and Fluid Flow, 19(1), 79-84. 0142-727X https://hdl.handle.net/10356/94148 http://hdl.handle.net/10220/7078 10.1016/S0142-727X(97)10026-1 90582 en International journal of heat and fluid flow © 1998 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Heat and Fluid Flow, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1016/s0142-727x(97)10026-1]. 6 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Mechanical engineering::Fluid mechanics Shu, Jian Jun Pop, I. On thermal boundary layers on a flat plate subjected to a variable heat flux |
| title | On thermal boundary layers on a flat plate subjected to a variable heat flux |
| title_full | On thermal boundary layers on a flat plate subjected to a variable heat flux |
| title_fullStr | On thermal boundary layers on a flat plate subjected to a variable heat flux |
| title_full_unstemmed | On thermal boundary layers on a flat plate subjected to a variable heat flux |
| title_short | On thermal boundary layers on a flat plate subjected to a variable heat flux |
| title_sort | on thermal boundary layers on a flat plate subjected to a variable heat flux |
| topic | DRNTU::Engineering::Mechanical engineering::Fluid mechanics |
| url | https://hdl.handle.net/10356/94148 http://hdl.handle.net/10220/7078 |
| work_keys_str_mv | AT shujianjun onthermalboundarylayersonaflatplatesubjectedtoavariableheatflux AT popi onthermalboundarylayersonaflatplatesubjectedtoavariableheatflux |