For oil (S G=0.86, μ=0.025 Ns / m^2) flow of 0.3 m^3 / s through a round pipe with diameter of 5

Name: Problem 27, Chapter 8: Fundamentals of Fluid Mechanics
Uploaded: 2023-03-11T09:46:43-08:00
Duration: 1 min 43 s
Channel: Narayan Hari
Description: For oil (S G=0.86, μ=0.025 Ns / m^2) flow of 0.3 m^3 / s through a round pipe with diameter of 500 mm, determine the Reynolds number. Is the flow laminar or turbulent?

step 1 To solve this problem, let us write the given data first. So here the value of specific gravity

Question

For oil $\left(S G=0.86, \mu=0.025 \mathrm{Ns} / \mathrm{m}^{2}\right)$ flow of $0.3 \mathrm{m}^{3} / \mathrm{s}$ through a round pipe with diameter of $500 \mathrm{mm}$, determine the Reynolds number. Is the flow laminar or turbulent?

   For oil $\left(S G=0.86, \mu=0.025 \mathrm{Ns} / \mathrm{m}^{2}\right)$ flow of $0.3 \mathrm{m}^{3} / \mathrm{s}$ through a round pipe with diameter of $500 \mathrm{mm}$, determine the Reynolds number. Is the flow laminar or turbulent?

Fundamentals of Fluid Mechanics

Bruce R. Munson,… 7th Edition

Chapter 8, Problem 27

Instant Answer

Solved by Expert Narayan Hari

03/11/2023

Step 1

The specific gravity (SG) is given as 0.86, and we know that SG is the ratio of the density of the substance to the density of a reference substance, which is water in this case. The density of water is 999 kg/m³. Therefore, the density of the oil (ρ) can be Show more…

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For oil $\left(S G=0.86, \mu=0.025 \mathrm{Ns} / \mathrm{m}^{2}\right)$ flow of $0.3 \mathrm{m}^{3} / \mathrm{s}$ through a round pipe with diameter of $500 \mathrm{mm}$, determine the Reynolds number. Is the flow laminar or turbulent?

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Key Concepts

Reynolds Number

The Reynolds number is a dimensionless quantity used in fluid mechanics to characterize the flow regime of a fluid. It is defined as the ratio of inertial forces to viscous forces, and its value helps predict whether a flow will be laminar or turbulent. In general, low Reynolds numbers indicate that viscous forces dominate (yielding laminar flow), while high Reynolds numbers suggest that inertial forces dominate, leading to turbulent flow.

Flow Regimes (Laminar vs Turbulent Flow)

Flow regimes refer to the distinct patterns of fluid motion, typically categorized as laminar or turbulent. Laminar flow is smooth and orderly, with layers of fluid sliding past one another, whereas turbulent flow is characterized by chaotic, irregular fluctuations and mixing. Determining the flow regime is crucial in the design and analysis of systems involving fluid movement, as it impacts parameters like pressure drop and heat transfer.

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