Work

Modeling of a Fluid with Pressure-Dependent Viscosity in Hele-Shaw Flow

Year: 2024

Type: article

Abstract: We investigate the Hele-Shaw flow of fluids whose viscosity depends on pressure, i.e., piezo-viscous fluids, near the tip of a sharp edge. In particular, we consider both cases of two-dimensional symmetric and antisymmetric flows. To obtain the pressure field, we provide a procedure that is based on the method of separation of variables and does not depend on a specific choice of the expression for the pressure-dependent viscosity. Therefore, we show the existence of a general procedure to investigate the behavior of piezo-viscous fluids in Hele-Shaw flow and its solution near a sharp corner. The results are applied to the case of an exponential dependence of viscosity on pressure as an example of exact solutions for the pressure field.

Source: Modelling—International Open Access Journal of Modelling in Engineering Science

DOI: 10.3390/modelling5040077

Authors: Benedetta Calusi, Liviu Iulian Palade

Institutions: University of Florence, Centre National de la Recherche Scientifique, Université de Lyon, Institut Camille Jordan, Institut National des Sciences Appliquées de Lyon

Language: English

Topic: Fluid dynamics and aerodynamics studies

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,137

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Centre National de la Recherche Scientifique, Gruppo Nazionale per la Fisica Matematica