The Effect of Non-Uniform Transverse Friction on the Linear Stability of Shallow Mixing Layers

Linear stability analysis of mixing layers in shallow water is performed in the present paper under the following assumptions: (a) the fluid contains uniformly distributed heavy small particles, (b) the mixing layer is slightly curved in the longitudinal direction, (c) the friction coefficient changes in the transverse direction. Marginal stability curves are calculated for different base flow velocity profiles which represent both stably and unstably curved mixing layers. The effect of all parameters on the stability characteristics of the flow is investigated