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HW2_Soln - in Homework Set No 2 ChE 354 Spring 2007 RB...

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Unformatted text preview: in: Homework Set No. 2 ChE 354 Spring 2007 RB. Eldridge 1. Rework Example 4.5 in your Textbook for an angle of 30 degrees — should you ask the COOP for your money back ? 2. You are standing in your backyard holding a garden hose pointed straight—up; placing your thumb over the hose exit you generate a shear: of water. If the hose supply pressure is 400 lcPa (gauge) and the velocity in the hose just upstream of your thumb is 0.6 m/s, What is the maxinnun height the spray can reach ? 3. The pump of a water distribution system is powered by a 15 KW electric motor whose efficiency is 90 percent. The water flow rate through the pump is 50 Us. The diameter of the inlet and outlet pipes are the same and the elevation difference across the pump is negligible. If the pressures of the inlet and outlet of the pump are 100 kPa and 300 kPa (absolute) respectively, determine the mechanical efficiency of the pump and the temperature rise of the water due to this mechanical inefficiency. 4. What required horsepower would you predict for a 3 inch Schedule 40 pipeline 1000 ft long flowing at 100 GPM. If: a. You measure the viscosity of a sludge in the lab and conclude that it can be described as a power law fluid with a flow index of 0.45, a viscosity of 7 poise at a shear rate of 1 /sec, and a density of 1.2 g/ c1313. b. You measure the viscosity of a sludge in the lab and conclude that it can be described as a Bingham plastic model with a viscosity of 7 poise at a shear rate 1 / sec and a viscosity of 0.354 poise at a shear rate of 100 / sec. 5. You have a large supply of rusty 2 inch Schedule 40 steel pipe, which you want to use for a pipeline. Because rusty metal is rougher than clean metal, you want to know the efiective roughness before laying the pipeline. To do this, you pump water at a rate of 100 gpm through a 100 it long section of the pipe and find that the pressure drop is 15 psi. What is the effective pipe roughness in inches ? HINT: You might consider using an expression relating the roughness factor to the friction factor for fully deVeloped turbulent flow. Fray/m #2 Freak/Cm #3, Q , (23 i kw w= l)” kw (aw) #2 [a7 l5: 4’ A- an 7M7 fig ,1 ‘vV/I C as, 75' / . #2. .4 ,. (fmA/f‘lofl /a0/ 4k; ”L £00 ?L W ' m ___ [ova 26/“ 7 7121/?" )3 ’ é/f‘a V ((1 Me: = 7 a e _ Lflgggf’QIJ/zpz) MED/1W ”7 (3'06?) flier) (a. 2m; ‘2 ‘ MW " 7%} W" a ’21 C 70 : (132%?—mvw‘1}‘//-2)/éy7/§J W; x: 2 ,2 ”we 1 {.773 )r/rj‘§ ‘5 “\ ”‘ 2.6,; ){xo'_f(£flf§xra« ‘ ‘ 4: -/,3"79-(;—r cam/€263 / 1""?2 (*1 5 if; | [H ‘ F i [12/ E‘ g ”M 3 (a I .1. MK! \n \nL‘h‘ 7/;J/fiogfia-fi' ) = ft" {6 7. . .7717“. rfl/Rev /;.,7Q7577 7/57 (5; {£7 ;)(62,’7 1;: 7 _.7} 7777. /—/7A’/0 77 4; (75* M W/ filéfl ' *¥fl/j+&/+¥L« ”L // ._ G I J" - WW _« W A_ _ 7 _ _._ __ W _. WW I ,W. v ._ r, 7 - W)» . a ._. i l .I , l ...
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