An Integral Formulation of Transient Radiative Transfer
A time-dependent integral formulation is developed for modeling transient radiative transfer. The development is based on a rigorous analysis of the wave propagation process inside the participating media. The physical significance of the present integral formulation is the consideration of the time...
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| Veröffentlicht in: | Journal of heat transfer 2001-06, Vol.123 (3), p.466-475 |
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| container_end_page | 475 |
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| container_issue | 3 |
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| container_title | Journal of heat transfer |
| container_volume | 123 |
| creator | Tan, Z.-M Hsu, P.-F |
| description | A time-dependent integral formulation is developed for modeling transient radiative transfer. The development is based on a rigorous analysis of the wave propagation process inside the participating media. The physical significance of the present integral formulation is the consideration of the time-dependent domain of computation, which is different from the domain disturbed by radiation (i.e., the wave front envelope). Numerical computations are performed for the medium that is an absorbing and isotropically scattering one-dimensional plane slab geometry. The spatial and temporal incident radiation and radiative flux distributions are presented for different boundary conditions and for uniform and nonuniform property distribution. The transient results at large time step are compared with steady-state solutions by the finite volume and quadrature methods and show excellent agreement. The solutions of reflecting boundary condition exhibit distinctive behavior from that of the non-reflecting boundary. |
| doi_str_mv | 10.1115/1.1371230 |
| format | Article |
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The development is based on a rigorous analysis of the wave propagation process inside the participating media. The physical significance of the present integral formulation is the consideration of the time-dependent domain of computation, which is different from the domain disturbed by radiation (i.e., the wave front envelope). Numerical computations are performed for the medium that is an absorbing and isotropically scattering one-dimensional plane slab geometry. The spatial and temporal incident radiation and radiative flux distributions are presented for different boundary conditions and for uniform and nonuniform property distribution. The transient results at large time step are compared with steady-state solutions by the finite volume and quadrature methods and show excellent agreement. 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Heat Transfer</addtitle><description>A time-dependent integral formulation is developed for modeling transient radiative transfer. The development is based on a rigorous analysis of the wave propagation process inside the participating media. The physical significance of the present integral formulation is the consideration of the time-dependent domain of computation, which is different from the domain disturbed by radiation (i.e., the wave front envelope). Numerical computations are performed for the medium that is an absorbing and isotropically scattering one-dimensional plane slab geometry. The spatial and temporal incident radiation and radiative flux distributions are presented for different boundary conditions and for uniform and nonuniform property distribution. The transient results at large time step are compared with steady-state solutions by the finite volume and quadrature methods and show excellent agreement. The solutions of reflecting boundary condition exhibit distinctive behavior from that of the non-reflecting boundary.</description><subject>Analytical and numerical techniques</subject><subject>Boundary conditions</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Heat transfer</subject><subject>Numerical methods</subject><subject>Physics</subject><subject>Radiation</subject><subject>Scattering</subject><subject>Thermal radiation</subject><subject>Time series analysis</subject><subject>Wave propagation</subject><issn>0022-1481</issn><issn>1528-8943</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNp9kE1Lw0AQhhdRsFYPnr3kIIqH1J3sR3aPUqwWCoLU87KbzEpKPupuIvjvTUkPnpzLwMszL8xDyDXQBQCIR1gAyyFj9ITMQGQqVZqzUzKjNMtS4ArOyUWMO0qBMa5nJH9qk3Xb42ewdbLqQjPUtq-6Nul8sg22jRW2ffJuy2qMv3HKPIZLcuZtHfHquOfkY_W8Xb6mm7eX9fJpk1pORZ8K6oqCcm-ROkRmBdeSce95waiTTintfAkWc4WldqC1KymCkJqjU2Alm5P7qXcfuq8BY2-aKhZY17bFbogm51wyqpUYybt_yUwqIWFUMycPE1iELsaA3uxD1djwY4Cag0QD5ihxZG-PpTYWtvbj90UV_xxQntEDdjNhNjZodt0Q2lGK4eNIzn4B_Bx4jg</recordid><startdate>20010601</startdate><enddate>20010601</enddate><creator>Tan, Z.-M</creator><creator>Hsu, P.-F</creator><general>ASME</general><general>American Society of Mechanical Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>7TC</scope></search><sort><creationdate>20010601</creationdate><title>An Integral Formulation of Transient Radiative Transfer</title><author>Tan, Z.-M ; Hsu, P.-F</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a405t-50bcc04fae0bee3a549634ff4c30b6b889bfd1ae78ed9b199bd0e15694eb81a63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Analytical and numerical techniques</topic><topic>Boundary conditions</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Heat transfer</topic><topic>Numerical methods</topic><topic>Physics</topic><topic>Radiation</topic><topic>Scattering</topic><topic>Thermal radiation</topic><topic>Time series analysis</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tan, Z.-M</creatorcontrib><creatorcontrib>Hsu, P.-F</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>Journal of heat transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tan, Z.-M</au><au>Hsu, P.-F</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Integral Formulation of Transient Radiative Transfer</atitle><jtitle>Journal of heat transfer</jtitle><stitle>J. 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| fulltext | fulltext |
| identifier | ISSN: 0022-1481 |
| ispartof | Journal of heat transfer, 2001-06, Vol.123 (3), p.466-475 |
| issn | 0022-1481 1528-8943 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_744630985 |
| source | ASME Transactions Journals (Current) |
| subjects | Analytical and numerical techniques Boundary conditions Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat transfer Numerical methods Physics Radiation Scattering Thermal radiation Time series analysis Wave propagation |
| title | An Integral Formulation of Transient Radiative Transfer |
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