Numerical simulation of drop impact and jet buckling problems using the eXtended Pom-Pom model

This work presents numerical simulations of two fluid flow problems involving moving free surfaces: the impacting drop and fluid jet buckling. The viscoelastic model used in these simulations is the eXtended Pom-Pom (XPP) model. To validate the code, numerical predictions of the drop impact problem for Newtonian and Oldroyd-B fluids are presented and compared with other methods. In particular, a benchmark on numerical simulations for a XPP drop impacting on a rigid plate is performed for a wide range of the relevant parameters. Finally, to provide an additional application of free surface flows of XPP fluids, the viscous jet buckling problem is simulated and discussed. (C) 2011 Elsevier B.V. All rights reserved.

Application of the log-conformation tensor to three-dimensional time-dependent free surface flows

The numerical simulation of flows of highly elastic fluids has been the subject of intense research over the past decades with important industrial applications. Therefore, many efforts have been made to improve the convergence capabilities of the numerical methods employed to simulate viscoelastic fluid flows. An important contribution for the solution of the High-Weissenberg Number Problem has been presented by Fattal and Kupferman [J. Non-Newton. Fluid. Mech. 123 (2004) 281-285] who developed the matrix-logarithm of the conformation tensor technique, henceforth called log-conformation tensor. Its advantage is a better approximation of the large growth of the stress tensor that occur in some regions of the flow and it is doubly beneficial in that it ensures physically correct stress fields, allowing converged computations at high Weissenberg number flows. In this work we investigate the application of the log-conformation tensor to three-dimensional unsteady free surface flows. The log-conformation tensor formulation was applied to solve the Upper-Convected Maxwell (UCM) constitutive equation while the momentum equation was solved using a finite difference Marker-and-Cell type method. The resulting developed code is validated by comparing the log-conformation results with the analytic solution for fully developed pipe flows. To illustrate the stability of the log-conformation tensor approach in solving three-dimensional free surface flows, results from the simulation of the extrudate swell and jet buckling phenomena of UCM fluids at high Weissenberg numbers are presented. (C) 2012 Elsevier B.V. All rights reserved.

Early Diagnosis of Myocardial Dysfunction in Patients With Hematological Malignancies Submitted to Chemotherapy. Preliminary Results.

Early Diagnosis of Miocardial Dysfunction in Patients with Hematological Malignancies Submitted to Chemotherapy. Preliminary Background: Considering the current diagnostic improvements and tl1erapeutic approaches, patients witl 1 cancer can now be healed or keep the disease under control, still, the chemotherapy may cause heart damage, evolving to Congestive Heart Failure. Recognition of those changes increases the chances of control the endpoints; hence, new parameters of cardiac and fluid mechanics analysis have been used to assess the myocardial function, pursuing an earlier diagnosis of the cardiac alterations. This study aimed to detect early cardiac dysfunction consequently to chemotherapy in patients with hematological malignancies (HM). Methods: Patients with leukemia and lymphoma, submitted to chemotherapy, without knowing heart diseases were studied. Healthy volunteers served as the control group. Conventional 2DE parameters of myocardial function were analyzed. The peak global longitudinal, circumferential and radial left ventricular (LV) strain were deternined by 2D and 3D speckle tracking (STE); peak area strain measured by 3D STE and LV torsionn, twisting rate, recoil / recoil rate assessed by 2D STE. The LV vortex formation time (VFT) during the rapid diastolic filling was estimated by the 2D mitral valve (MV) planimetry and Pulsed Doppler LV inflow by: VFT- 4(1-β) / π x α3 x LVEF Where 1- β is the E wave contribution to the LV stroke volume and α3 is a volumetric variable related to the MV area. The statistical level was settled on 5%. Results: See Table. Conclusion: Despite the differences between the two groups concerning the LVESV, LVEF and E´, those parameters still are in the normal range when considering the patients submitted to chemotherapy; thus, in the clinical setting, they are not so noticeable. The 3D GLS was smaller among the patients, oppositely to the 2D GLS, suggesting that the former variable is more accurate to assess tlhe LV systolic function. The VFT is a dimensionless measure of the optimal vortex development inside the LV chamber; reflecting the efficiency of the diastolic filling and, consequently, blood ejection. This index showed to be diminished in patients with HM submitted to chemotherapy, indicating an impairment of the in1pulse and thrust, hence appearing to be a very early marker of diastolic and systolic dysfunction in this group.

The role of wake stiffness on the wake-induced vibration of the downstream cylinder of a tandem pair

When a pair of tandem cylinders is immersed in a flow the downstream cylinder can be excited into wake-induced vibrations (WIV) due to the interaction with vortices coming from the upstream cylinder. Assi, Bearman & Meneghini ( J. Fluid Mech. , vol. 661, 2010, pp. 365–401) concluded that the WIV excitation mechanism has its origin in the unsteady vortex–structure interaction encountered by the cylinder as it oscillates across the wake. In the present paper we investigate how the cylinder responds to that excitation, characterising the amplitude and frequency of response and its dependency on other parameters of the system. We introduce the concept of wake stiffness , a fluid dynamic effect that can be associated, to a first approximation, with a linear spring with stiffness proportional to Re and to the steady lift force occurring for staggered cylinders. By a series of experiments with a cylinder mounted on a base without springs we verify that such wake stiffness is not only strong enough to sustain oscillatory motion, but can also dominate over the structural stiffness of the system. We conclude that while unsteady vortex–structure interactions provide the energy input to sustain the vibrations, it is the wake stiffness phenomenon that defines the character of the WIV response

A new enrichment space for the treatment of discontinuous pressures in multi-fluid flows

In this work, a new enrichment space to accommodate jumps in the pressure field at immersed interfaces in finite element formulations, is proposed. The new enrichment adds two degrees of freedom per element that can be eliminated by means of static condensation. The new space is tested and compared with the classical P1 space and to the space proposed by Ausas et al (Comp. Meth. Appl. Mech. Eng., Vol. 199, 10191031, 2010) in several problems involving jumps in the viscosity and/or the presence of singular forces at interfaces not conforming with the element edges. The combination of this enrichment space with another enrichment that accommodates discontinuities in the pressure gradient has also been explored, exhibiting excellent results in problems involving jumps in the density or the volume forces. Copyright (c) 2011 John Wiley & Sons, Ltd.