Showing papers on "Second-order fluid published in 2005"
TL;DR: In this article, the problem of potential flow of a second-order fluid around an ellipsoid is solved, and the flow and stress fields are computed, and flow fields are determined by the harmonic potential but the stress fields depend on viscosity and the parameters of the second order fluid.
Abstract: The problem of potential flow of a second-order fluid around an ellipsoid is solved, and the flow and stress fields are computed. The flow fields are determined by the harmonic potential but the stress fields depend on viscosity and the parameters of the second-order fluid. The stress fields on the surface of a tri-axial ellipsoid depend strongly on the ratios of principal axes and are such as to suggest the formation of gas bubble with a round flat nose and two-dimensional cusped trailing edge. A thin flat trailing edge gives rise to a large stress which makes the thin trailing edge thinner.
3 citations
TL;DR: In this paper, a tensor representation is developed to assess and characterize both the transient behavior and equilibrium states of viscoelastic fluid constitutive equations in viscometric flows.
3 citations
TL;DR: In this paper, the authors used matched asymptotic expansions to match the inner and outer solutions by means of transition region between the advancing meniscus and the entrained film where the fluid rheology has its greatest effect.
2 citations
Journal Article•
TL;DR: The boundary conditions for the case in which fluid flowrates depend on fluid levels are presented,upon which the solution of the dynamicequations can be obtained directly by numerical methods.
Abstract: Second order Fluid Stochastic Petri nets are a modelingformalismusedforperformance and dependability evaluation of computer and communication systems.Hybrid Stochastic Petri nets are an extension of second order Fluid Stochastic Petrinets,in which the fluidjump arcs as a modeling pri mitive are assigned the functionthat instantaneously empties the fluid place connected toit.The dynamic equationsof the stochastic marking process are given,and in the derivation of the equationsthe discrete state transitions concurrent with fluidjumps are takeninto account forthe first ti me.Finally,the boundary conditions for the case in which fluid flowrates depend on fluid levels are presented,upon which the solution of the dynamicequations can be obtained directly by numerical methods.
1 citations
TL;DR: In this article, the second-order fluid in porous medium in presence of magnetic field is studied by the Lyapunov's second method, and the effect of the magnetic field on the onset of convection is shown.
Abstract: Abstract Nonlinear stability of the motionless state of the second-order fluid in porous medium in presence of magnetic field is studied by the Lyapunov’s second method. Through defining a Lyapunov function we will prove the inhibiting effect of the magnetic field on the onset of convection. If the Chandrasekhar number is below a computable constant depending on system parameters, we even prove the coincidence of linear and nonlinear stability boundary. Moreover, the medium permeability has a destabilizing effect.