5) A liquid delivery system is being designed such that ethylene glycol flows out of a hole in the bottom of a large tank. The designers need to predict how long it will take for the ethylene glycol to completely drain. Since prototype using ethylene glycol, they decide to build a one-quarter scale model for experimental testing, and they plan to use water as their test liquid. The model is geometrically similar to the prototype as shown in the Figure. would be very expensive to run tests with a full-scale (a) Temperature of the ethylene glycol in the prototype tank is 60°C, at which v = 4.75x10-6 m²/s. At what temperature should the water in the model experiment be set in order to ensure complete similarity between model and prototype? (b) The experiment is run with water at the proper temperature as calculated in part (a). It takes 3.27 min to drain the model tank. Predict how long it will take to drain the ethylene glycol from the prototype tank. Prototype Dp Pps Mp hp Model Pm Hm hm dm

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A liquid delivery system is being designed such that ethylene glycol flows out of a hole in the bottom of a large tank. The designers need to predict how long it will take for the ethylene glycol to completely drain. Since it would be very expensive to run tests with a full-scale prototype using ethylene glycol, they decide to build a one-quarter scale model for experimental testing, and they plan to use water as their test liquid. The model is geometrically similar to the prototype as shown in the Figure.
(a) Temperature of the ethylene glycol in the prototype tank is 60°C, at which υ = 4.75x10-6 m2/s. At what temperature should the water in the model experiment be set in order to ensure complete similarity between model and prototype?
(b) The experiment is run with water at the proper temperature as calculated in part (a). It takes 3.27 min to drain the model tank. Predict how long it will take to drain the ethylene glycol from the prototype tank.

5) A liquid delivery system is being designed such that ethylene glycol flows out of a hole in
the bottom of a large tank. The designers need to predict how long it will take for the ethylene
glycol to completely drain. Since it would be very expensive to run tests with a full-scale
prototype using ethylene glycol, they decide to build a one-quarter scale model for experimental
testing, and they plan to use water as their test liquid. The model is geometrically similar to the
prototype as shown in the Figure.
(a) Temperature of the ethylene glycol in the prototype tank is 60°C, at which v = 4.75x10-6 m²/s.
At what temperature should the water in the model experiment be set in order to ensure complete
similarity between model and prototype?
(b) The experiment is run with water at the proper temperature as calculated in part (a). It takes
3.27 min to drain the model tank. Predict how long it will take to drain the ethylene glycol from
the prototype tank.
Prototype
Pps Mp
hp
Model
Pm Hm
hm
"p
Transcribed Image Text:5) A liquid delivery system is being designed such that ethylene glycol flows out of a hole in the bottom of a large tank. The designers need to predict how long it will take for the ethylene glycol to completely drain. Since it would be very expensive to run tests with a full-scale prototype using ethylene glycol, they decide to build a one-quarter scale model for experimental testing, and they plan to use water as their test liquid. The model is geometrically similar to the prototype as shown in the Figure. (a) Temperature of the ethylene glycol in the prototype tank is 60°C, at which v = 4.75x10-6 m²/s. At what temperature should the water in the model experiment be set in order to ensure complete similarity between model and prototype? (b) The experiment is run with water at the proper temperature as calculated in part (a). It takes 3.27 min to drain the model tank. Predict how long it will take to drain the ethylene glycol from the prototype tank. Prototype Pps Mp hp Model Pm Hm hm "p
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