Question

The speed of flow of water through a long cylindrical pipe of diameter $2 \mathrm{~cm}$ so that flow become turbulent, is: (Assume at temperature of $20^{\circ} \mathrm{C}$, viscosity $\eta=1 \times 10^{-3} \mathrm{~Pa} .$ second, Reynold number $=3000$ ) (a) $1.5 \mathrm{~m} / \mathrm{s}$ (b) $0.15 \mathrm{~m} / \mathrm{s}$ (c) $2 \mathrm{~m} / \mathrm{s}$ (d) $1 \mathrm{~m} / \mathrm{s}$

Name: Problem 64, Chapter 12: Arihant AIEEE Physics
Uploaded: 2021-09-11T06:19:30-08:00
Duration: 1 min 9 s
Channel: Narayan Hari
Description: The speed of flow of water through a long cylindrical pipe of diameter 2 cm so that flow become turbulent, is: (Assume at temperature of 20^∘ C, viscosity η=1 ×10^-3 Pa . second, Reynold number =3000 ) (a) 1.5 m / s (b) 0.15 m / s (c) 2 m / s (d) 1 m / s

   The speed of flow of water through a long cylindrical pipe of diameter $2 \mathrm{~cm}$ so that flow become turbulent, is:
(Assume at temperature of $20^{\circ} \mathrm{C}$, viscosity $\eta=1 \times 10^{-3} \mathrm{~Pa} .$ second, Reynold number $=3000$ )
(a) $1.5 \mathrm{~m} / \mathrm{s}$
(b) $0.15 \mathrm{~m} / \mathrm{s}$
(c) $2 \mathrm{~m} / \mathrm{s}$
(d) $1 \mathrm{~m} / \mathrm{s}$

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 12, Problem 64

Instant Answer

Solved by Expert Narayan Hari

09/11/2021

Step 1

We need to convert this to meters, so D = 0.02 m. Show more…

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The speed of flow of water through a long cylindrical pipe of diameter $2 \mathrm{~cm}$ so that flow become turbulent, is: (Assume at temperature of $20^{\circ} \mathrm{C}$, viscosity $\eta=1 \times 10^{-3} \mathrm{~Pa} .$ second, Reynold number $=3000$ ) (a) $1.5 \mathrm{~m} / \mathrm{s}$ (b) $0.15 \mathrm{~m} / \mathrm{s}$ (c) $2 \mathrm{~m} / \mathrm{s}$ (d) $1 \mathrm{~m} / \mathrm{s}$

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Key Concepts

Reynolds Number

A dimensionless parameter that quantifies the ratio of inertial forces to viscous forces in fluid flow. It is crucial in determining whether the flow is laminar or turbulent.

Turbulent Flow

A flow regime where fluid motion becomes chaotic and eddies are present. It typically occurs when the Reynolds number exceeds a certain critical value, leading to enhanced mixing and momentum transfer.

Viscosity

A measure of a fluid's resistance to gradual deformation by shear stress or tensile stress. It affects how easily a fluid flows and is an essential factor in calculating the Reynolds number.

Pipe Flow

The study of fluid dynamics in conduits where geometry, such as diameter, along with fluid properties and flow conditions, influences the transition between laminar and turbulent regimes.

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