For Problem 6.49, if the bed slope in the river is 20 cm/km, what will be the bed slope in the model? Determine the time ratio for a particle to move in the flow direction and that for a particle to...

For Problem 6.49, if the bed slope in the river is 20 cm/km, what will be the bed slope in the model? Determine the time ratio for a particle to move in the flow direction and that for a particle to move in the vertical direction. Determine the force ratio in the horizontal and vertical directions. Assume
 = 1

Problem 6.49

A distorted model is constructed for a wide river whose maximum discharge is 8000 m3 /s. The maximum discharge in the laboratory is 0.27 m3 /s. The vertical scale in the model is six rimes the horizontal one. The Chezy coefficient for the river is 50. Determine the horizontal and vertical scale ratios and the value of the Chezy coefficient in the model. If a velocity of 0.2 m/s is observed in the model, what is the corresponding velocity in the prototype?