DoE Final_2024(1)

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Auckland Grammar School *

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Mechanical_engineering

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May 6, 2024

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DoE course. MECH 5750 Final Exam. – Quiz Option (0-9) __________Name___________________ Please answer questions Quiz version that matched your student ID last (end) digit DoE course. MECH 5750 Final Exam. – Quiz Option (0-9) __________Name___________________ Problem 1. (All Students answer All questions a – k) ½ point each question (6 points total) In an industrial waste treatment plant, metals are precipitated by mixing lime in a tank to produce metal hydroxides. Use only two levels orthogonal arrays Design an experiment to study the metal precipitation @ Five factors at two levels 2 lime flows [FLOW] (10, 20 L/m) 2 mixing speeds [SPEED] (20 or 25 rpm) 2 tank levels [LVL] (50% or 100%) 2 mixing Times [MIX] (10, 20 rpm) 2 Effluent Temperatures [TEMP] (ambient, 50’F) Select best fit/smallest orthogonal array experiments and show column assignments (in numbers) only: a. Considering all interactions for the five factors at two levels: Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ b. Considering only 2-way interactions only among the five factors and ignoring all other interactions: Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ c. Ignore all interactions for the five factors at two levels: Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ d. If you added one factor Tank Width, and you decided to have a saturated (screening) experiment for the six factors Array ___ Factors: Flow____, Speed____, LVL____, MIX____TEMP ____Width ____ e. If you added one factor Tank Width, and you decided to have a half factorial expt. for the six factors Array ___ Factors: Flow____, Speed____, LVL____, MIX____TEMP ____Width ____ f. If you added three factors: Tank Width, Height Depth and considering Flow to be the most important factor and all other seven factors interact to it, while ignoring all other interactions: Array ___ Factors: Flow____, Speed____, LVL____, MIX____TEMP ____Width ____Height ____Depth____ g. Please insert the interactions for only one linear graph below, if your last digit is odd, complete the figure to the left, is your last digit is even complete the figure to the right 11 12 5 8 10 6 4 7 8 9 4 2 10 12 MECH 5750 DoE Final 1 /5
DoE course. MECH 5750 Final Exam. – Quiz Option (0-9) __________Name___________________ Please answer questions Quiz version that matched your student ID last (end) digit h. Considering only these two (two–way interactions) for the five factors, and ignoring all other interactions. Answer your versions only ( Please circle or highlight your ID # below ) – (1 point) ID 0 - FLOW x MIX and FLOW x LVL ID 1 - MIX x LVL and Mix x TEMP ID 2 - TEMP x FLOW and TEMP x SPEED ID 3 - SPEED x TEMP and SPEED x FLOW ID 4 - TEMP x MIX and TEMP x FLOW ID 5 - TEMP x MIX and TEMP x FLOW ID 6 - SPEED x TEMP and SPEED x FLOW ID 7 - FLOW x MIX and FLOW x LVL ID 8 - MIX x LVL and Mix x TEMP ID 9 - TEMP x FLOW and TEMP x SPEED Array _____ Factor Assignments: FLOW______, SPEED______, LVL______, MIX______, TEMP______ i. Considering Flow with four levels and the rest of the 4 factors with two levels, ignore all interactions Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ j. Considering all 5 factors with two levels and you select a non-interacting (Plackett-Burman) array Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ k. Show division of L8 into two half fraction L4s? MECH 5750 DoE Final 2 /5
DoE course. MECH 5750 Final Exam. – Quiz Option (0-9) __________Name___________________ Problem 2. (All Students answer All questions a – f) . In an industrial waste treatment plant, metals are precipitated by mixing lime in tanks to produce metal hydroxides. Design experiment to study metal precipitation.1 point each question (6 points total) Five factors at three levels (parts a - f). 3 lime flows [FLOW] (10, 20 or 30 L/m) 3 mixing speeds [SPEED] (20 or 25 or 35 rpm) 3 tank levels [LVL] (50% 75% or 100%) 3 mixing Times [MIX] (10, 20 or 30rpm) 3 Effluent Temperatures [TEMP] (ambient, 25 or 50’F) Select best fit/smallest orthogonal array experiments and show column assignments (in numbers) only: a. Considering only 4 factors with three levels (FLOW, SPEED, LVL and MIX) and consider all interactions Array _____ b. Considering all 5 factors with three levels and selecting 2-way interactions only among three selected factors (Flow Speed and LVL), while ignoring all other interactions: Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ c. Considering all 5 factors with three levels and ignore all interactions: Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ d. Considering only 3 factors with three levels (FLOW, SPEED, and LVL) and ignore all interactions Array _____ Factor Assignments: Flow______, Speed______, LVL______ e. Considering only 4 factors with three levels (FLOW, SPEED, LVL and MIX) and ignore all interactions Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX________ f. Considering all 5 factors with three levels and you select a non-interacting (Plackett-Burman) array Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______ MECH 5750 DoE Final 3 /5
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