(1) A horizontal pipe expands smoothly from diameter do to a larger diameter d₁. A liquid of density p flows at speed vo through the pipe. If the pressure in the narrower section is Po, find an expression for the pressure pl in the wider section.
(1) A horizontal pipe expands smoothly from diameter do to a larger diameter d₁. A liquid of density p flows at speed vo through the pipe. If the pressure in the narrower section is Po, find an expression for the pressure pl in the wider section.
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Question
Transcribed Image Text:(1) A horizontal pipe expands smoothly from diameter do to a larger diameter d₁. A liquid of
density p flows at speed vo through the pipe. If the pressure in the narrower section is Po,
find an expression for the pressure pl in the wider section.
(2) A pressure gauge reads 50 kPa as water flows at 10.0 m/s through a 16.8 cm-diameter hori-
zontal pipe. What is the reading of a pressure gauge after the pipe has expanded to 20.0 cm
in diameter?
Expert Solution
Step 1: Concepts
Note: As you have provided two separate questions, we will answer only the first question according to our Q&A guidelines. For the second part, post it separately.
When some liquid flows through a cylindrical horizontal pipe, at any point, it's velocity v is related to the cross-section A as follows.
Also we need to know about Bernoulli's equation for conservation of energy density of laminar flow of a liquid. According to it, a laminar flow of liquid follows
where
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