If the two pipes in Fig. are instead laid in serieswith the same total pressure drop of 3 lbf/in2, what will theflow rate be? The fluid is SAE 10 oil at 20°C. D= 3 inL= 250 ftD= 2 inL= 200 ft

Given data: The pressure drop is, ∆P = 3 lbf/in2. Calculate the flow rate as follows:…

Answered: D= 3 in L= 250 ft D= 2 in L= 200 ft

Engineering

Mechanical Engineering

D= 3 in L= 250 ft D= 2 in L= 200 ft

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.5.9P: A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure)....

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Question

If the two pipes in Fig. are instead laid in series
with the same total pressure drop of 3 lbf/in², what will the
flow rate be? The fluid is SAE 10 oil at 20°C.

Expert Solution

Step 1

Given data:

The pressure drop is, ∆P = 3 lbf/in².

Calculate the flow rate as follows:

$Δ P = \frac{128 μ Q}{π} [\frac{L_{1}}{D_{1}^{4}} + \frac{L_{2}}{D_{2}^{4}}]$

Here, Q is the flow rate, μ is the dynamic viscosity, L₁ is the length of tube 1, L₂ is the length of tube 2, D₁ is the diameter of tube 1, and D₂ is the diameter of tube 2.

Refer the table “properties of sae 10” to obtain the viscosity.

μ = 0.00217 slug/ftˑs

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