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Surface waves on viscoelastic magnetic fluid film flow down a vertical column. (English) Zbl 1213.76066
Summary: Long-wave perturbation method is employed to solve the nonlinear hydromagnetic stability of a thin electrically conductive viscoelastic fluid film flowing down on the outside surface of a vertical cylinder. As the viscoelastic effect and the magnetic force are introduced into governing equation, the results are more compatible with the practice situation. The modeling results display that the degree of instability in the film flow is further intensified by the lateral curvature of cylinder. It is also observed that by increasing the effect of the magnetic field and by decreasing the viscoelastic effect tends to enhance the stability as traveling down along the vertical cylinder. Moreover, the instability state could be neutralized by controlling the applied magnetic field. The optimum conditions can be found through the use of a system to alter stability of the film flow by controlling the applied magnetic field.
76D33Waves in incompressible viscous fluids
76W05Magnetohydrodynamics and electrohydrodynamics
76A20Thin fluid films (fluid mechanics)
76D08Lubrication theory