Problem 19: Oil with a density of 892 kg/m is flowing smoothly through a pipe, as

shown. In the lower portion, the oil is flowing at vi = 1.84 m/s, and the pressure gauge

indicates P, = 237 kPa. In the upper portion of the pipe, oil is flowing at V2 = 3.61 m/s at a

height that is 8.63 m above the lower portion.

shown. In the lower portion, the oil is flowing at vi = 1.84 m/s, and the pressure gauge

indicates P, = 237 kPa. In the upper portion of the pipe, oil is flowing at V2 = 3.61 m/s at a

height that is 8.63 m above the lower portion.

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The

pressureof theoilwith the given properties flowing in thehorizontal pipeat theupper portionof the pipe is157 kPa.Pressure in the upper portion of the pipeThe

pressurein theupper portionof the pipe is calculated by applying Bernoulli's equation,P₁ + ¹/₂ρv₁² + ρgh₁ = P₂ + ¹/₂ρv₂² + ρgh₂

Given;

Susbtsitute the given parameters and solve the for the

pressurein theupper portionof the pipe.237,000 + ¹/₂(892)(1.84)² + (892)(9.8)(0) = P₂ + ¹/₂(892)(3.61)² + (892)(9.8)(8.63)

238,509.9776 = P₂ + 81,252.325

P₂ = 238,509.9776 - 81,252.325

P₂ = 157,257.65 Pa

P₂ ≅ 157 kPa

Thus, the

pressureof theoilwith the given properties flowing in thehorizontal pipeat theupper portionof the pipe is157 kPa.Learn more about

pressure in pipeshere: https://brainacademy.pro/question/10928609