During a storm, a snow drift is formed behind some bushes as shown in Fig. P7.49 and Vid...

During a storm, a snow drift is formed behind some bushes as shown in Fig. P7.49 and Video V9.6. Assume that the height of the drift, h, is a function of the number of inches of snow deposited by the storm, d, the height of the bush, H, the width of the bush, b, the wind speed, V, the acceleration of gravity, g, the air density, ρ, the specific weight of the snow, γ_s, and the porosity of the bush, η. Note that porosity is defined as the percentage of open area of the bush. (a) Determine a suitable set of dimensionless variables for this problem. (b) A storm with 30-mph winds deposits 16 in. of snow having a specific weight of 5.0 lb/ft³. A half-sized-scale model bush is to be used to investigate the drifting behind the bush. If the air density is the same for the model and the storm, determine the required specific weight of the model snow, the required wind speed for the model, and the number of inches of model snow to be deposited.