Masters theses : Statistics
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Item STUDY OF SOME Problems In Bubble Dynamics(Al Neelain University, 2003-08) Mohamed Saad El-Din Abdel GafoorSome problems of the bubble dynamics are discussed and the solutions are found. The fluid in which the bubble is moving is asstuned to be incompressible, irrotational and inviscid. The stability of the fluid flows with spherical symmetry is studied and the conditions for its occurrence are deduced. The motion of the bubble produced during Taylor instability of superposed fluids in cylindrical tubes is studied and the effect of the surface tension force and the curvature of the interface are taken into account. Both the steady and the unsteady state of motion are considered. i Spherical — cap models are presented, and the comparison between the theoretical studies and the experimental results is found. V The potential solution for the boundary value problem of the toroidal bubble in an infinite fluid is found by using the toroidal coordinate system. Botl1 the three dimensional and the axisymmetric case are considered.Item On The Propagation Of Wave Motion In An Incomparessible Fluids(Al Neelain University, 2006-08)ln this research the researcher discussed in chapter l, the fundamentals of fluid mechanics and the principal equations that govern the motion ofideal and real fluids. ln chapter 2, the researcher encountered to the general concepts in Wave motion in fluids, and the mathematical description of waves. Chapter 3, was devoted for the theory of linear surface waves. lt discussed the wave velocity and group velocity and the energy contained in the waves , and standing and stationary waves. The researcher concluded the research by chapter 4, which discussed non linear waves ofsurface waves, and classifying them according to their waveforms.