Abstract
Slender liquid jets that have a curved trajectory have been examined in a range of papers using a method introduced in Wallwork et al. (2000, 2002) and Decent et al. (2002), for jets that emerge from an orifice on the surface of a rotating cylindrical container, successfully comparing computational results to measurements arising from laboratory experiments. Wallwork et al. (2000, 2002) and Decent et al. (2002) based their analysis on the slenderness of the jet, and neglected the torsion of the centreline of the jet which is valid since in most situations examined the torsion is zero or small. Shikhmurzaev & Sisoev (2017) used differential geometry and incorporated the torsion. This paper shows these two methods produce identical results at leadingorder when the torsion is zero or when the torsion is O(1), in an asymptotic framework based upon the slenderness of the jet, and shows that the method of Wallwork et al. (2000, 2002) and Decent et al. (2002) is accurate for parameters corresponding to scenarios previously examined and also when the torsion is O(1). It is shown that the method of Shikhmurzaev & Sisoev (2017) should be used when the torsion is asymptotically large or when the jet is not slender.
Original language  English 

Pages (fromto)  905916 
Number of pages  12 
Journal  Journal of Fluid Mechanics 
Volume  844 
Early online date  13 Apr 2018 
DOIs  
Publication status  Published  10 Jun 2018 
Profiles

Emilian Parau
 School of Mathematics  Professor of Applied Mathematics & Head of School
 Fluid and Solid Mechanics  Member
Person: Research Group Member, Academic, Teaching & Research