28 research outputs found

    III Systems Symposium at Case Institute of Technology

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    By J OHN A. HRONES Provost, Case Institute 0/ Technology SYSTEMS have been the subject of man's study for many hundreds of years. Thus, the solar system has been the concern of the astronomer. The study of the allocation of material and human resources within the boundaries of an industrial firm or a government has been the concern of the economist. The subject of such studies have been widely known as economic systems. Medieal men have worked with the human body. Thus, man has attempted to deal with a complicated array of interconnected elements since the very earliest of recorded time. In his attcmpt to improve his understanding of physieal systems the need to concentrate on a specific kind of system, e.g., the solar system. the human body, became more imperative. However in recent years there has begun to grow and develop an increasing number of people who are working on thc development of general systems theory and analysis. Such a development is based upon the belief that certain view points, certain kinds of mathematics and technologieal procedures can be applied to a wide variety of important systems with considerable profit. The pres­ sures for the development of such a body of knowledge grew with the de­ velopment of a technologieal socicty

    (In)compressibility and parameter identification in phase field models for capillary flows

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    Phase field (diffuse interface) models accommodate diffusive triple line motion with variable contact angle, thus allowing for the no-slip boundary condition without the stress singularities. We consider two commonly used classes of phase field models: the compositionally compressible (CC) model with compressibility limited to the fluid mix within the diffuse interface, and the incompressible (IC) model. First, we show that the CC model applied to fluids with dissimilar mass densities exhibits the computational instability leading to the breakup of the triple line. We provide a qualitative physical explanation of this instability and argue that the compositional compressibility within the diffuse interface is inconsistent with the global incompressible flow. Second, we derive the IC model as a systematic approximation to the CC model, based on a suitable choice of continuum velocity field. Third, we benchmark the IC model against sharp interface theory and experimental kinetics. The triple line kinetics is well represented by the triple line mobility parameter. Finally, we investigate the effects of the bulk phase field diffusional mobility parameter on the kinetics of the wetting process and find that within a wide range of magnitudes the bulk mobility does not affect the flow
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