exact solution for steady two-dimensional flow of an incompressible magma is obtained. themagmatic flow is studied by considering the magma as a second grade fluid. the governing partialdifferential equations are transformed to ordinary differential equations by symmetry transformations. resultsare discussed through graphs to understand the rheology of the flowing magma

We study approximations by conforming methods of the solution to the variational inequality 〈∂tu, v − u〉 + ψ(v) − ψ(u) ≥ 〈f, v − u〉, which arises in the context of inviscid incompressible Bingham fluid flows and of the total variation flow problem. We propose a general framework involving total variation functionals, that enables to prove convergence of space, or time-space approximations, for ...

The direct numerical simulation of the incompressible Navier-Stokes equations of the flow above a bump shows a stationary longitudinal instability at a Reynolds number of Re = 400. A three-dimensional global mode linear analysis is used to interpret these results and shows that the most unstable eigenmode is steady and localized in the recirculation bubble, with spanwise wavelength of approxima...

Hybrid free-surface flows past disturbances in a two-dimensional channel are identified and studied. The fluid is assumed to be inviscid and incompressible, and the flow to be steady and irrotational. The disturbances consist of a step in the bottom of the channel and a flat object lying on the free-surface (e.g., a sluice gate). A weakly nonlinear one-dimensional analysis is used to classify t...

We consider the class of Beltrami fields (eigenfields of the curl operator) on three-dimensional Riemannian solid tori: such vector fields arise as steady incompressible inviscid fluids and plasmas. Using techniques from contact geometry, we construct an integer-valued index for detecting closed orbits in the flow which are topologically inessential (they have winding number zero with respect t...

1 Abstract The role of vorticity dynamics in vortex breakdown is examined in a theoretical and computational study. Under the assumptions of steady, incompressible, axisymmetric, invis-cid ow, a theory is developed concerning the interaction of vortex tilting and stretching in the breakdown process. This analytic theory is then connrmed using an unsteady, incompressible, axisymmetric viscous ow...

In this paper, we study the problem of two-dimensional free surface flows past an inclined plate infinite length. The Riabouchinsky model is considered. fluid assumed to be inviscid and incompressible flow steady irrotational. For study, effects gravity tension are negligible. This solved by using two methods. first method allow us compute analytical solution employing Schwarz-Christoffel mappi...

An existing two-dimensional method for the prediction of steady-state incompressible flows in complex geometry is extended to treat also compressible flows at all speeds. The primary variables are the Cartesian velocity components, pressure and temperature. Density is linked to pressure via an equation of state. The influence of pressure on density in the case of compressible flows is implicitl...

The purpose of this paper is to investigate the linear stability analysis for laminar-turbulent transition region high-Reynolds-number instabilities boundary layer flow on a rotating disk. This investigation considers axial along surface-normal direction, by studying analytical expressions steady solution, laminar, incompressible and inviscid fluid due disk in presence uniform injection suction...