   Chapter 12, Problem 2CQ

Chapter
Section
Textbook Problem

Many figures in the text show streamlines. Explain why fluid velocity is greatest where streamlines are closest together. (Hint: Consider the relationship between fluid velocity and the cross-sectional area through which it flows.)

To determine

Fluid velocity is greatest when streamlines are close together.

Explanation

Introduction:

When a liquid flow in such a way that each liquid particle passing through a certain point follows exactly the same path as followed by the preceding particles when passed through the same point, then flow is said to be streamlined.

According to the principle of continuity, when liquid flows in streamline motion then at every point of the tube the product of the area of cross-section and velocity of flow of the liquid remains constant such that,

A1v1=A2v

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