Abstract
With the presence of the odd viscosity, the linear instability of a planar jet (sheet) surrounded by an inviscid gas medium is explored for varicose and sinuous modes. The previous studies on sheet mechanics did not consider the role of the odd viscosity when measuring the maximum growth rate, dominant wave number, instability limit, and breakup length. Semi-dominant characteristic of the odd viscosity is that it is a stabilizing factor for the state of a liquid sheet. It is an unstable factor in a few cases as dictated by the model parameters, such as the odd viscosity number, aerodynamic force, Reynolds number, ambient gas density, and Weber number. In the production of metal alloys, metal powders, and the cooling and descaling stages of downstream metal manufacturing processes, particularly in the steel industry, sprays may be employed in a variety of ways.