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Nutrients dissolved in water are carried to upper parts of

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 97P Chapter 2

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 97P

Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary effect. Determine how high the water solution will rise in a tree in a 0.002-mm-diameter tube as a result of the capillary effect. Treat the solution as water at 20°C with a contact angle of 15°.

FIGURE P2-103

Step-by-Step Solution:

Introduction

Nutrients dissolved in water are carried to upper parts of plants by tiny tubes  due to the capillary rise. Capillary rise is the ability of a liquid to flow in narrow space without the assistance of, or even opposition to external forces like gravity.

Step 1</p>

        Given ,The temperature of  the  water solution , T=200 C

        Diameter of the capillary tube, D =0.002 mm and the diameter of the tube is constant.

        The contact angle is 150

        We know that ,

        The surface tension of the water at  200 C, σs =0.073 N/m

        The density of the water solution  ρ =1000 kg/m3

Step 2 of 2

Chapter 2, Problem 97P is Solved
Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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