Two-phase Fluids in Collision of Incompressible Inviscid Fluids Effluxing from Two Nozzles

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Monfaredy, Saeed | 2021

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 54893 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaraki, Mahmoud
Abstract:
This dissertation is devoted to the mathematical theory of two-dimensional injection of incompressible, irrota-tional, and inviscid fluids issuing from two infinitely long nozzles into a free stream.. In general, there is a free interface with constant jump of the Bernoulli constant on it, which is different and more difficult than the previous related works. Physically, it is called the collision fluid. The main result in this paper is that for given two co-axis symmetric infinitely long nozzles, imposing the incoming mass fluxes in the two nozzles, there is a unique piecewise smooth fluid collision function such that its free interface arises from the collision of fluids. It is a derivative curve and the pressure on this joint is continuous. Other results of this dissertation are asymptotic behavior for vertical and positive velocities and a monotone behavior for the area between the common face and the nozzles. This dissertation considers Euler's physical rule and a number of assumptions for the walls created by fluids as assumptions and defines a functional and where this functional assumes its minimum as Considers the flow function and proves its properties
Keywords:
Fluids ; Interfaces ; Collision ; Incompressible Two Phase Flow ; Two Dimensional Flow ; Two Phase Fluid Flow ; Two Nozzles

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