دورية أكاديمية
Study of surface tension effects in thermal convection by variational methods
| العنوان: | Study of surface tension effects in thermal convection by variational methods |
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| المؤلفون: | G. Lebon, C. Perez-Garcia |
| المساهمون: | Académie Royale de Belgique |
| المصدر: | Bulletin de la Classe des sciences 66(1):520-542 |
| بيانات النشر: | nL: PERSEE, 1980. |
| سنة النشر: | 1980 |
| المجموعة: | persee persee:doc persee:serie-barb persee:serie-barb:doc persee:discipline-114 persee:discipline-114:doc persee:discipline-103 persee:discipline-103:doc persee:discipline-123 persee:discipline-123:doc |
| الوصف: | Variational formulations are proposed for the study of the hydrodynamic stability of an infinite fluid layer at rest heated from below. The role of a temperature dependent surface tension is more specifically emphasized. Both perturbations of small and finite amplitudes are considered : the former are investigated by means of the classical normal mode analysis while the latter are treated in the frame of Serrin-Joseph energy method. Both approaches are expressed in terms of variational principles which serve as starting points of the numerical procedure. By using very simple trial functions, namely a set of four Tchebyshev polynomes, and invoking Rayleigh-Ritz's method, approximate solutions are obtained. |
| نوع الوثيقة: | article |
| اللغة: | English |
| تدمد: | 0001-4141 |
| DOI: | 10.3406/barb.1980.58680 |
| الوصول الحر: | https://www.persee.fr/doc/barb_0001-4141_1980_num_66_1_58680Test |
| حقوق: | Downloading and printing allowed only for personal use. For general information see "Copyright and Other Restrictions" at https://www.persee.fr/web/support/legal-aspectsTest |
| رقم الانضمام: | edsper.barb.0001.4141.1980.num.66.1.58680 |
| قاعدة البيانات: | Persée |
| تدمد: | 00014141 |
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| DOI: | 10.3406/barb.1980.58680 |