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Dipole model of vorticity at the moving contact line

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Vorticity, defined as the curl of velocity ( ω ≡∇ × u ), has beome a topic of significant interest over the past century. As a easure of local fluid… Click to show full abstract

Vorticity, defined as the curl of velocity ( ω ≡∇ × u ), has beome a topic of significant interest over the past century. As a easure of local fluid rotation, vorticity has proven to be useful or characterizing a variety of natural phenomena. While vorticty is not a primary variable such as velocity or pressure, it conains a wealth of information that is invaluable to a variety of elds including aerodynamics ( Brown and Michael, 1954; Graham, 983; Katz, 1981; Karman and Sears, 1938; Sedov et al., 1965; u, 1981 ), turbulence ( Chorin, 1996; McWilliams, 1984; Grant, 958; Hussain, 1986 ), and mixing ( Sutera, 1965; Jacobi and Shah, 995; Mehdizadeh et al., 2011; Zhang and Mohseni, 2014 ). The imortance of vorticity has been well recognized and we refer the eader to the works of Truesdell (1954) , Lim and Nickels (1995) , affman (1992) , and Wu et al. (2006) for a general discussion of he generation, dynamics, and decay of vorticity. Among these pubications, the discussion of vorticity generation is often focused on mooth solid interfaces. However, as the complexity of physical roblems continues to grow, there is a clear need to develop a beter understanding of vorticity and vorticity generation in complex eometries and multiphase flows. In this manuscript, we are motivated by the work of eVoria and Mohseni (2015) to examine the vorticity near corer singularities along a fluid interface, or the moving contact ine (MCL). In their investigation, the authors performed a deailed study of translating droplets using micro-particle image ve-

Keywords: contact line; vorticity; vorticity moving; moving contact; model vorticity; dipole model

Journal Title: International Journal of Multiphase Flow
Year Published: 2018

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