Intro -- Zusammenfassung -- Summary -- Preamble -- Contents -- List of Symbols -- 1 Introduction -- 2 State of the Art -- 3 Modeling the Flow in the CapillaryChannel -- 4 CCF Experiment on ISS -- 5 Numerical Tools -- 6 Steady Flow Results -- 7 General Behavior of Free Surfaces -- 8 Transient Flow Results -- 9 Three-Dimensional Computations -- 10 Conclusions -- Appendix A -- Appendix B -- Appendix C -- Appendix D -- List of Figures -- List of Tables -- Bibliography