A Numerical Study of the FENE-CR Model Applied to a Jet Flow Problem

Author(s)

Paulo, G. S. ; Oishi, C. M. ; Tome, M. F. ; Simos, T ; Psihoyios, G ; Tsitouras, C

• Document type: Journal article
• Source: 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013); v. 1558, p. 4-pg., 2013-01-01.

Abstract

The FENE-CR model is investigated through a numerical algorithm to simulate the time-dependent moving free surface flow produced by a jet impinging on a flat surface. The objective is to demonstrate that by increasing the extensibility parameter L, the numerical solutions converge to the solutions obtained with the Oldroyd-B model. The governing equations are solved by an established free surface flow solver based on the finite difference and marker-and-cell methods. Numerical predictions of the extensional viscosity obtained with several values of the parameter L are presented. The results show that if the extensibility parameter L is sufficiently large then the extensional viscosities obtained with the FENE-CR model approximate the corresponding Oldroyd-B viscosity. Moreover, the flow from a jet impinging on a flat surface is simulated with various values of the extensibility parameter L and the fluid flow visualizations display convergence to the Oldroyd-B jet flow results. (AU)

• FAPESP's process: 11/13930-0 - Development of the numerical method for simulating unsteady viscoelastic free surface flows
• Grantee: Gilcilene Sanchez de Paulo
• Support Opportunities: Regular Research Grants
• FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
• Grantee: Francisco Louzada Neto
• Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
• FAPESP's process: 09/15892-9 - Study of stable and accurate numerical methods for transient flows: improvements, implementations, free surface flow problems and viscoelastic models
• Grantee: Cassio Machiaveli Oishi
• Support Opportunities: Research Grants - Young Investigators Grants