Question

Self Test 2 balance) (Unsteady State mass 1 Problem Statement A Vertical tank of diameter D and height H has a narrow crack of width W running vertically from top to bottom. If the tank is initially filled with water and alilowed to drain through the crack under the influence of gravity a) Calculate the output volumetric flow rate at any time t Imagine the crack to be a seties of adiacenr orifices, then, integrate to find the total efflux from the crack in the infinitesimal time dt Self Test 2 balance) (Unsteady State mass b) Find the expression that willl let us calculate the instantaneous depth of the water in the tank as a function of time, t c) Draw a graph which will show instantaneous depth of the water in the tank as a function of time d) How long will it take to empty the tank under these conditions? 50 Assumptions (Open Discussion) Illustration List of Variables diameter of the tank mmin vater flow cate through tlhe crack at ahy time t Fh) overall height of the tank 5.0 instantancous depth of the water in the tannk width of the cack 0.001 m time min

Answer 1

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