The drag force, F_{D} on sphere kept in a uniform flow field depends on the diameter of the sphere, D; flow velocity, V; fluid density, $\rho $; and dynamic viscosity,$\mu $. Which of the following options represents the non-dimensional parameters which could be used to analyze this problem ?
The relationship between the length scale ratio (L_{r}) and the velocity scale ratio (V_{r}) in hydraulic models, in which Froude dynamic similarity is maintained, is:
Group-I contains dimensionless parameters and Group- II contains the ratios.
The correct match of dimensionless parameters in Group- I with ratios in Group-II is:
A river reach of 2.0 km long with maximum flood discharge of 10000 m^{3}/s is to be physically modeled in the laboratory where maximum available discharge is 0.20 m^{3}/s. For a geometrically similar model based on equality of Froude number, the length of the river reach (m) in the model is
A 1: 50 scale model of a spillway is to be tested in the laboratory. The discharge in the prototype is 1000 m^{3}/s. The discharge to be maintained in the model test is