1. a spherical storage tank has a radius of 3 meters and contains a drain plug at the bottom with a radius of 3 cm. using fluid mechanics principals, an ode of the change in height in time is given by the following equation: ℎ − ℎ 2 ) ℎ = −√ℎ where is the radius of the storage tank, is the cross-sectional area of the drain, and is a unit less experimentally determined value based on the type of fluid. use = 9.81, = 0.6, and an initial height of 5.9 meters. run the ode23 solver for 3 hours, you will get negative height results, delete these values. produce a single plot of the results and confirm that it matches the solution in your previous homework (no specific confirmation step required, but if it does not match you may not have used the function correctly). print the time it took to drain in the following format using fprintf: it took hh: mm: ss to drain.

Hydraulic fluid with a sg. of 0.78 is flowing through a 1.5 in. i. d. pipe at 58 gal/min. the fluid has an absolute viscosity of 11.8 x 105 lbf-sec/ft2. is the flow laminar, turbulent or within the critical range? give both a numerical reynolds number and a term answer.

Find the kinematic pressure of 160kpa. for air, r-287 j/ kg k. and hair al viscosity of air at a temperature of 50°c and an absolute (10 points) (b) find the dynamic viscosity of air at 110 °c. sutherland constant for air is 111k

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?