کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
785948 | 1465393 | 2008 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Non-linear temporal dynamics of two-mode interactions of magnetized flow
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Non-linear temporal dynamics of two-mode interactions of magnetized flow Non-linear temporal dynamics of two-mode interactions of magnetized flow](/preview/png/785948.png)
چکیده انگلیسی
This paper considers, in the frame work of the model of two superposed layers of viscous-potential incompressible magnetic fluids, the problem on formation of resonant waves of two modes on the interface between fluids that arisen as a result of second-harmonic resonance. The fluids moving with uniform velocities parallel to their interface are stressed by a tangential magnetic field. The analysis includes the linear, as well as the non-linear effects where the analytical solutions are constructed using the method of multiple scales, in both space and time, and hence the solvability conditions correspond to the uniform (convergent) solutions are obtained. The solvability conditions are then exploited to derive a more general system of non-linear partial differential equations with complex coefficients governing the amplitudes of the resonant waves. These equations are examined for solutions corresponding to sinusoidal wavetrains consequently different kinds of instabilities are demonstrated. The stability criterion in each case is derived and discussed both analytically and graphically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 43, Issue 5, June 2008, Pages 416-436
Journal: International Journal of Non-Linear Mechanics - Volume 43, Issue 5, June 2008, Pages 416-436
نویسندگان
Magdy A. Sirwah,