Question : SAE 30 oil at 20°C flows in the 3.5-cm-diameter pipe, which slopes at 37°. For the pressure measurements shown, determine Part (a) whether the flow is up or down and Part (b) the flow rate in m3/h. Neglect minor losses.Directions - Solve carefully, Write Clear, Label as Part (A) and (B) Circle Final answer(s)Hint : flows in the 3.5-cm-diameter pipe, *** USE IMAGE BELOW Pb = 190kPa, Pa = 550kPa, 25m, etc The image shows a schematic diagram of a pipe system. The pipe is inclined at an angle of 37° from the horizontal. Two points are marked on the pipe: Point A, with a pressure \( p_A = 550 \, \text{kPa} \), and Point B, with a pressure \( p_B = 190 \, \text{kPa} \). The horizontal distance between the two points is 25 meters. Additionally, the diagram indicates flow directions with arrows and shows that each point has a circular representation, possibly indicating measurement stations or valves. This setup likely represents the pressure difference along the pipeline, which can be analyzed for fluid dynamics studies.

Let the density of SAE 30 oil be ρ=890kgm3 and g=9.81 ms2. The viscosity for given oil is μ =0.29 Pa-s The vertical height between A and B is - 18.84 m and length (L) is 31.3 m. Assuming A as datum. a) The total hydraulic energy head at B and A is -HB = PAρg + zB = 190×103890×9.81 + 18.84 =40.6 mHA = PAρg + zA = 550×103890×9.81 + 0 = 63 mHA is greater than HB , therefore the flow will be from A to B (upwards). b) The flow rate can be given as -hL=63-40.6 =128μQLπρgd422.4 =128×0.29×Q×31.3π×890×9.81×0.0354Q= 0.794×10-3m3/sQ=2.86 m3/h

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question : SAE 30 oil at 20°C flows in the 3.5-cm-diameter pipe, which slopes at 37°. For the pressure measurements shown, determine Part (a) whether the flow is up or down and Part (b) the flow rate in m3/h. Neglect minor losses. Directions - Solve carefully, Write Clear, Label as Part (A) and (B) Circle Final answer(s) Hint : flows in the 3.5-cm-diameter pipe, *** USE IMAGE BELOW Pb = 190kPa, Pa = 550kPa, 25m, etc

The image shows a schematic diagram of a pipe system. The pipe is inclined at an angle of 37° from the horizontal. Two points are marked on the pipe: Point A, with a pressure \( p_A = 550 \, \text{kPa} \), and Point B, with a pressure \( p_B = 190 \, \text{kPa} \). The horizontal distance between the two points is 25 meters. Additionally, the diagram indicates flow directions with arrows and shows that each point has a circular representation, possibly indicating measurement stations or valves. This setup likely represents the pressure difference along the pipeline, which can be analyzed for fluid dynamics studies.

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