Analytical solution of Graetz problem in pipe flow with periodic inlet temperature variation
The paper reports an analytical solution for the temperature field in a fully developed pipe flow subject to periodic (of any shape) inlet temperature variation. The solution is given in term of a series of Kummer functions for the cases of uniform and constant wall temperature and wall heat flux, t...
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| Veröffentlicht in: | International journal of heat and mass transfer 2009-06, Vol.52 (13), p.3396-3401 |
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| container_end_page | 3401 |
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| container_issue | 13 |
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| container_title | International journal of heat and mass transfer |
| container_volume | 52 |
| creator | Cossali, G.E. |
| description | The paper reports an analytical solution for the temperature field in a fully developed pipe flow subject to periodic (of any shape) inlet temperature variation. The solution is given in term of a series of Kummer functions for the cases of uniform and constant wall temperature and wall heat flux, thus comprising also the adiabatic wall case. A “fully developed” region for the fluctuating component of the fluid temperature is also evidenced and closed-form solutions are given. An interpretation of the temperature field as superposition of travelling thermal waves is presented and discussed. |
| doi_str_mv | 10.1016/j.ijheatmasstransfer.2009.02.028 |
| format | Article |
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Thermal use of fuels</subject><subject>Exact sciences and technology</subject><subject>Graetz problem</subject><subject>Heat exchangers (included heat transformers, condensers, cooling towers)</subject><subject>Kummer functions</subject><subject>Periodic heat transfer</subject><subject>Poiseuille flow</subject><issn>0017-9310</issn><issn>1879-2189</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqNkV1rFTEQhoMoeKz-h9z4cbOn-djNJneWUqul4I3eCWE2O6E57G7WJKel_nqznOKNIMJASObhmTAvIR8423PG1flhHw53CGWGnEuCJXtMe8GY2TNRSz8jO6570wiuzXOyY4z3jZGcvSSvcj5sV9aqHflxscD0WIKDieY4HUuIC42eXifA8ouuKQ4TzjQsdA0rUj_FB_oQyh1dMYU4BldbExZacK4vUI4J6T2kAJvoNXnhYcr45uk8I98_XX27_Nzcfr3-cnlx27hWdqVRqFojpQLJ-97JvvOiZ2A0yr41RjAzDEzzXusBRoXMjx46I2EQtYHIjTwj70_e-t2fR8zFziE7nCZYMB6zNUwq2XbtRr77JynbliujN_DjCXQp5pzQ2zWFGdKj5cxuAdiD_TsAuwVgmailq-Lt0yzIdb2-Mi7kPx7BO6E07yp3c-Kwrug-VEt2AReHY0joih1j-P-hvwHIa6nH</recordid><startdate>20090601</startdate><enddate>20090601</enddate><creator>Cossali, G.E.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>20090601</creationdate><title>Analytical solution of Graetz problem in pipe flow with periodic inlet temperature variation</title><author>Cossali, G.E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c435t-6e649336a3177c375f270a98e37499209bb081788bad6e0fdfa593ab29bbee193</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>Complex eigenvalues</topic><topic>Devices using thermal energy</topic><topic>Energy</topic><topic>Energy. 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| identifier | ISSN: 0017-9310 |
| ispartof | International journal of heat and mass transfer, 2009-06, Vol.52 (13), p.3396-3401 |
| issn | 0017-9310 1879-2189 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Applied sciences Complex eigenvalues Devices using thermal energy Energy Energy. Thermal use of fuels Exact sciences and technology Graetz problem Heat exchangers (included heat transformers, condensers, cooling towers) Kummer functions Periodic heat transfer Poiseuille flow |
| title | Analytical solution of Graetz problem in pipe flow with periodic inlet temperature variation |
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