Theoretical study about the Marangoni convection in a liquid column in zero-gravity |
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Authors: | Helmut F Bauer |
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Institution: | Institut für Raumfahrttechnik, Hochschule der Bundeswehr, Werner-Heisenberg-Weg 39, 8014 Neubiberg, F.R.G. |
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Abstract: | The thermal Marangoni effect on the surface of a liquid bridge induces a convection inside the liquid. For an imposed arbitrary periodic axial circumferential temperature distribution on the liquid surface the velocity distributions in radial-, angular- and axial direction are determined theoretically by solving the linearized Navier-Stokes equations. Of particular interest is the effect of the viscosity parameter and axial wave length to diameter ratio . It was found that the increase of viscosity decreases the magnitude of the velocity distributions and that for small axial wave length to diameter ratios the radial- and axial velocities exhibit peak values close to the free surface of the liquid. This is in a less pronounced way also true for the angular velocity, which shows for increasing moderate values ) a strong increase in magnitude and for larger axial wavelength a decrease again. For increasing axial wavelength the peak value of the radial- and axial velocity shifts towards the center of the liquid bridge, of which for a further increase a decrease of the magnitude appears. |
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