chapter 1

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fluid mechanics

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Fluid Mechanics

Chapter 1 Introduction

2

Figure 1.3

3

Table 1.1

4

Table 1.2

F= m aN = kg m/s2

lbf = slug ft/s2Dimensions: HW P 1.10

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Figure 1.6

6

Table 1.4

Absolute viscosity and kinematic viscosity for various fluids at 1 atm and 20 C

7

Figure A.1

8

Figure A.2

9

Table A.1

Viscosity and Density of Water: temperature dependent

10

Table A.2

Viscosity and Density of Air: temperature dependent

11

Figure 1.8

12

Figure 1.9

Shear thickening

Shear thinning

Requires finite yield stress before it flows: toothpaste, chocolate, mayonnaise, mustard

13

Problem Figure 1.54

See Example 1.10.

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Figure 1.10

SURFACE TENSION

0.073 N/m

Air-mercury interface Y =0.48 N/m

Air-water interface

15

Table A.5

Surface tensionVapor pressure andSound speed of Water

16

Figure 1.11

Interior of liquid cylinder

Dp = Y/R

Interior of spherical droplet

Dp = 2Y/R

Soap bubble: 4Y/R (two surfaces)

17

Figure 1.12

Contact angle less than 90 degrees: wet (Water wets glass surface, 0 degrees Greater than 90: non-wetting mercury-air-glass interface 130 degrees

18

Example Figure 1.8

2 p R Y cos q = g p R2 hHW P 1.65.

19

Figure 1.13

VAPOR PRESSURE of WATER

Cavitation NumberCa = (pa-pv)/0.5rV2

20

Table A.3Properties at 20 C

UncertaintyP1.90

HW P1.88

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