The dynamics of a gas bubble suspended in an axisymmetric straining flow is examined with modern tools global stability analysis. complete bifurcation diagram constrained to remain trapped at the stagnation point determined. It made stable branch, along which oscillates, and unstable branch it develops non-oscillating waisted shapes prefiguring breakup. Two modes also allow free drift away from...

The steady, axisymmetric laminar flow of a Newtonian fluid past a centrally-located sphere in a pipe first loses stability with increasing flow rate at a steady, O(2)-symmetry breaking bifurcation point. Using group theoretic results, a number of authors have suggested techniques for locating singularities in branches of solutions which are invariant with respect to the symmetries of an arbitra...

A summary is first presented of the conceptual difficulties and paradoxes surrounding plastic bifurcation buckling analysis. Briefly discussed are nonconservativeness, loading rate during buckling, and the discrepancy of buckling predictions with use of .I2 flow theory vs JZ deformation theory. The axisymmetric prebuckling analysis, including large deflections, elastic-plastic material behavior...

Background and Objective: Cerebral Arteriovenous Malformation (CAVM) hemodynamic is disease condition, results changes in the flow and pressure level in cerebral blood vessels. Measuring flow and pressure without catheter intervention along the vessel is big challenge due to vessel bifurcations/complex bifurcations in Arteriovenous Malformation patients. The vessel geometry in CAVM patients are...

Pattern formations from the equilibrium state in fluid motions may be treated by the bifurcation theories. Bifurcation theorems can be applied to explain Taylor vortices of Taylor problems and hexagonal cells of heat convection problems as the first bifurcation. Computer assisted analysis becomes necessary to see global bifurcation structures. In this lecture examples of computer assisted proof...

background and objective: cerebral arteriovenous malformation (cavm) hemodynamic is disease condition, results changes in the flow and pressure level in cerebral blood vessels. measuring flow and pressure without catheter intervention along the vessel is big challenge due to vessel bifurcations/complex bifurcations in arteriovenous malformation patients. the vessel geometry in cavm patients are...

We provide an analytic derivation of the bifurcation conditions for localized bulging in inflated hyperelastic tube arbitrary wall thickness and axisymmetric necking a sheet under equibiaxial stretching. It has previously been shown numerically that condition former problem is equivalent to vanishing Jacobian determinant internal pressure P resultant axial force N, with each them viewed as func...

Liquid bridges have been the focus of numerous theoretical and experimental investigations since the early work by Plateau more than a century ago. More recently, motivated by interest in their physical behavior and their occurrence in a variety of technological situations, there has been a resurgence of interest in the static and dynamic behavior of liquid bridges. Furthermore, opportunities t...

At high energy densities any quantum field theory is expected to have an effective hydrodynamic description. When combined with the gravity/gauge duality an unified picture emerges, where gravity itself can have a formal holographic hydrodynamic description. This provides a powerful tool to study black holes in a hydrodynamic setup. We study the stability of plasma balls, holographic duals of S...