Stability of Marangoni Convection in a MicroGravity Environment

  • Hans D. Mittelmann
Part of the NATO ASI Series book series (ASIC, volume 313)


In a recent paper of SHEN et al. energy-stability bounds were computed for the thermocapillary convection in a model of the float-zone crystal-growth process. The main application is expected to be the production of high-quality semiconductor material in low-gravity environments. Here we outline the physical and mathematical background and then describe in detail the numerical method used to solve the resulting nonlinear eigenvalue problem. Some information on the performance of the method is given and numerical results are presented for the zero gravity case.


Prandtl Number Marangoni Number Generalize Eigenvalue Problem Thermocapillary Convection Nonlinear Eigenvalue Problem 
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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Hans D. Mittelmann
    • 1
  1. 1.Department of MathematicsArizona State UniversityTempeUSA

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