Fluctuation-Induced Forces in Confined Fluids

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Mohammadi Arzanagh, Masoud | 2018

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 51045 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Bahmanabadi, Mahmoud; Naji, Ali
Abstract:
We study hydrodynamic fluctuation forces in a compressible and viscous fluid in confined geometries. First, we shall give an introduction on fluctuations and their applications in several experimental methods. Then, we shall proceed by introducing hydrodynamic equations governing the behavior of fluids and their dynamics. Assuming a compressible and viscous fluid, confined between two rigid, parallel, infinite plates, we subject one of the plates to a random force, having zero ensemble average and finite variance, while the other plate is kept fixed. We shall investigate the correlation functions of the forces acting on the boundaries and analyze the responses of the fluid film to the external forcing. We will see that the same-time correlation functions represent power-law behaviors when plotted as functions of inter-plate separation.Then we consider the same problem for a fluid film confined between two coaxial,rigid, infinite cylinders. The correlation functions are studied in this geometry, which despite involving more sophisticated mathematical calculations, exhibit behaviors similar to those found in the flat geometry
Keywords:
Cosmological Perturbations ; Hydrodynamic Fluctuations ; Casimir-Like Effects ; Classical Fluids