The Shield relation in open channels commonly used to evaluate the sediment transport is written as where t is the shear stress between water and soil, D is a representative diameter for the soil...

The Shield relation in open channels commonly used to evaluate the sediment transport is written as

where t is the shear stress between water and soil, D is a representative diameter for the soil particles,   ( y, - y) is the difference between the specific weight of solid particles and water, U. is the shear velocity, and v is the water kinematic viscosity. Prove chis relation using dimensional analysis.