Suppose a hiker falls into a crack in a glacier while mountain climbing. Assume the ice moves as a Newtonian fluid with viscosity = 250 x 10 6 CP and sp. gr. = 0.97 and assume the glacier is 15-m deep...

Suppose a hiker falls into a crack in a glacier while mountain climbing. Assume the ice moves as a Newtonian fluid with viscosity = 250 x 10⁶
CP and sp. gr. = 0.97 and assume the glacier is 15-m deep and is on a slope that falls 1.5 m every 1850 m. In order to determine how long before the professor appears at the bottom of the glacier a model is to be constructed.

a. The variables that describe this problem are

Use the MLt system of units, p, g, D, as repeating variables and determine the dimensionless groups that describe this problem (you may assume r = k and that two of the groups are H/D, L/D)

b. If a model is constructed using a fluid with a viscosity of 250 CP and a sp. gr. = 1.26 and the model professor reappears after 9.6 hours, when will the professor appear at the bottom of the glacier?