Dynamics of binary mixtures in inhomogeneous temperature
A dynamical description for fluid binary mixtures with variable temperature and concentration gradient contributions to entropy and internal energy is given. By using mass, momentum and energy balance equations together with the standard expression for entropy production, a generalized Gibbs–Duhem r...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2015
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| Online Access: | https://hdl.handle.net/10356/99226 http://hdl.handle.net/10220/25667 |
| _version_ | 1826119305278783488 |
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| author | Giuseppe, Gonnella Antonio, Lamura Antonio, Piscitelli |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Giuseppe, Gonnella Antonio, Lamura Antonio, Piscitelli |
| author_sort | Giuseppe, Gonnella |
| collection | NTU |
| description | A dynamical description for fluid binary mixtures with variable temperature and concentration gradient contributions to entropy and internal energy is given. By using mass, momentum and energy balance equations together with the standard expression for entropy production, a generalized Gibbs–Duhem relation is obtained which takes into account thermal and concentration gradient contributions. Then an expression for the pressure tensor is derived. As examples of applications, interface behavior and phase separation have been numerically studied in two dimensions neglecting the contributions of the velocity field. In the simplest case with a constant thermal gradient, the growth exponent for the averaged size of domains is found to have the usual value z = 1/3 and the domains appear elongated in the direction of the thermal gradient. When the system is quenched by contact with external walls, the evolution of temperature profiles in the system is shown and the domain morphology is characterized by interfaces perpendicular to the thermal gradient. |
| first_indexed | 2024-10-01T04:57:45Z |
| format | Journal Article |
| id | ntu-10356/99226 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:57:45Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/992262019-12-06T20:04:51Z Dynamics of binary mixtures in inhomogeneous temperature Giuseppe, Gonnella Antonio, Lamura Antonio, Piscitelli School of Physical and Mathematical Sciences DRNTU::Science::Physics A dynamical description for fluid binary mixtures with variable temperature and concentration gradient contributions to entropy and internal energy is given. By using mass, momentum and energy balance equations together with the standard expression for entropy production, a generalized Gibbs–Duhem relation is obtained which takes into account thermal and concentration gradient contributions. Then an expression for the pressure tensor is derived. As examples of applications, interface behavior and phase separation have been numerically studied in two dimensions neglecting the contributions of the velocity field. In the simplest case with a constant thermal gradient, the growth exponent for the averaged size of domains is found to have the usual value z = 1/3 and the domains appear elongated in the direction of the thermal gradient. When the system is quenched by contact with external walls, the evolution of temperature profiles in the system is shown and the domain morphology is characterized by interfaces perpendicular to the thermal gradient. 2015-05-25T07:15:01Z 2019-12-06T20:04:51Z 2015-05-25T07:15:01Z 2019-12-06T20:04:51Z 2008 2008 Journal Article Gonnella, G., Lamura, A., & Piscitelli, A. (2008). Dynamics of binary mixtures in inhomogeneous temperatures. Journal of physics A - Mathematical and theoretical, 41(10), 105001-. https://hdl.handle.net/10356/99226 http://hdl.handle.net/10220/25667 186348 en Journal of physics A - Mathematical and theoretical © 2008 IOP Publishing Ltd. |
| spellingShingle | DRNTU::Science::Physics Giuseppe, Gonnella Antonio, Lamura Antonio, Piscitelli Dynamics of binary mixtures in inhomogeneous temperature |
| title | Dynamics of binary mixtures in inhomogeneous temperature |
| title_full | Dynamics of binary mixtures in inhomogeneous temperature |
| title_fullStr | Dynamics of binary mixtures in inhomogeneous temperature |
| title_full_unstemmed | Dynamics of binary mixtures in inhomogeneous temperature |
| title_short | Dynamics of binary mixtures in inhomogeneous temperature |
| title_sort | dynamics of binary mixtures in inhomogeneous temperature |
| topic | DRNTU::Science::Physics |
| url | https://hdl.handle.net/10356/99226 http://hdl.handle.net/10220/25667 |
| work_keys_str_mv | AT giuseppegonnella dynamicsofbinarymixturesininhomogeneoustemperature AT antoniolamura dynamicsofbinarymixturesininhomogeneoustemperature AT antoniopiscitelli dynamicsofbinarymixturesininhomogeneoustemperature |