Abstract
The stability of capillary-gravity wave motion on horizontal free surface of viscous noncompressible fluid in the presence of magnetic surfactant in an external magnetic field was studied. It is shown that for normal as well as for tangential external magnetic field the horizontal free liquid surface is unstable for field strength exceeding some critical value that does not depend on the elastic constant of the surfactant film. However, for oblique external magnetic field the stability of the free surface depends not only on the field value but also on the surfactant elastic constant.
Highlights
New surfactant molecules with magnetic properties have been synthesized [1]
We study the stability of capillary-gravity wave motion on horizontal free surface of viscous non-compressible fluid in the presence of magnetic surfactant in external magnetic field
[ f ] ≡ f+ − f−, f ≡ ( f+ + f− ) / 2 ; H, B are the vectors representing magnetic field and magnetic flux density, respectively, pik are the components of total stress tensor, bab are the components of the second quadratic form of the boundary and σ ab are the components of surface tension tensor σ ab
Summary
New surfactant molecules with magnetic properties have been synthesized [1]. The surface tension tensor for these media is anisotropic and depends on magnetic field strength. We study the stability of capillary-gravity wave motion on horizontal free surface of viscous non-compressible fluid in the presence of magnetic surfactant in external magnetic field. [ f ] ≡ f+ − f− , f ≡ ( f+ + f− ) / 2 ; H, B are the vectors representing magnetic field and magnetic flux density, respectively, pik are the components of total stress tensor, bab are the components of the second quadratic form of the boundary and σ ab are the components of surface tension tensor σ ab γ 0. Ht , Hn are the given values of external magnetic field strength in tangential and normal directions to the horizontal unperturbed surface
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