Linear stability of sand waves sheared by a turbulent flow

In this paper, the linear stability of sand waves sheared by a turbulent flow is analyzed. The velocity distribution in streamwise direction considered to follow logarithmic law. modified pressure owing streamline curvature induced employed formulation. derived using Boussinesq approximation for variation over depth. model coupled with sediment transport study waves. Both modes as bedload and suspended load are considered. analysis reveals favorable region formation dunes antidunes on plane formed Froude number dimensionless wavenumber. instability increases an increase particle parameter, while it decreases relative roughness. that form beyond limiting corresponding threshold Shields number. theoretical results compare well available experimental data.