The velocity of propagation c of surface waves in a shallow channel is assumed to depend on the depth of the liquid h, the density ρ, and the acceleration due to gravity g. By means of dimensional analysis, simplify this problem and express this dependence in nondimensional terms.

The velocity of propagation c of surface waves in a shallow channel is assumed to depend on the depth of the liquid h, the density ρ, and the acceleration due to gravity g. By means of dimensional analysis, simplify this problem and express this dependence in nondimensional terms.

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Question

The velocity of propagation c of surface waves in a shallow channel is assumed to depend on the depth of the liquid h, the density ρ, and the acceleration due to gravity g.

By means of dimensional analysis, simplify this problem and express this dependence in nondimensional terms.

Expert Solution