Foundation year Chapter 7 General Physics PHYS 101 Instructor : Sujood Alazzam 2015/2016 1

CHAPTER OUTLINE Fluid Density Pressure Archimedes’ Principle & Buoyancy. Flow of ideal liquid Viscosity Diffusion Surface Tension 2

Chapter 7 Flow of ideal liquid Viscosity Diffusion Surface Tension 3

2.5.1 FLUID DYNAMICS Moving fluid is described by its flow velocity v( r, t ). Streamlines = Lines with tangents everywhere parallel to v( r, t ). slowfast 4

2.5.2 CONSERVATION OF MASS : THE CONTINUITY EQUATION Steady flow Equation of continuity for steady flow: flow rate = [ v A ] = m 3 / s 5

2.6 Viscosity Viscosity: friction due to momentum transfer between adjacent fluid layers or between fluid & wall. flow with no viscosity flow with viscosity 6

Cont. 7 The viscosity is a fluid property of resistance to flow. The viscosity of liquids arises primarily from the intermolecular forces within the liquid. An effective and simple method for measuring the viscosity of a fluid is to measure the time of fall by gravity of a sphere in the liquid of interest. B

Cont. 8 Finally the viscosity may be determined from a measured value of the terminal velocity.

2.7 Diffusion Diffusion defined: The net movement of molecules from an area of high concentration to an area of low concentration. 9

Molecules are always in motion Difference between gas, liquid and solid 10

Molecules in solution tend to slowly spread apart over time. This is diffusion. 11

All substances are made up of sub-microscopic particles called molecules  In gases (like air) the molecules can move freely.  In liquids (like water) the molecules can also move.  In solids the molecules are more or less stationary. 12 Cont.

As a result of their random movements the molecules become evenly distributed (a)(b) Representation of molecules in a gas 13

Diffusion in the Body Occurs across cell membranes The cell membrane is differentially permeable (selective). 14

The concentration of oxygen molecules is greater outside the cell than inside So the oxygen molecules diffuse into the cell Diffusion of oxygen into a cell 15

Because the cell is using up oxygen, the concentration of oxygen inside the cell is always lower then the concentration outside. Cont. 16

2.8 Surface Tension If you look closely at a dewdrop sparkling in the morning sunlight, you will find that the drop is spherical. The drop takes this shape because of a property of liquid surfaces called surface tension. In order to understand the origin of surface tension, consider a molecule at point A in a container of water, as in this Figure 17

Cont. 18 The molecule at B, however, is not attracted equally in all directions Because there are no molecules above it to exert upward forces, the molecule at B is pulled toward the interior of the liquid. The contraction at the surface of the liquid ceases when the inward pull exerted on the surface molecules is balanced by the outward repulsive forces that arise from collisions with molecules in the interior of the liquid.

If you place a sewing needle very carefully on the surface of a bowl of water, you will find that the needle floats even though the density of steel is about eight times that of water. This phenomenon can also be explained by surface tension. A close examination of the needle shows that it actually rests in a depression in the liquid surface as shown in this Figure, The water surface acts like an elastic membrane under tension. 19

The surface tension in a film of liquid is defined as the magnitude of the surface tension force F divided by the length L along which the force acts: 20

If you have ever closely examined the surface of water in a glass container, you may have noticed that the surface of the liquid near the walls of the glass curves upwards as you move from the center to the edge, as shown in this Figure. However, if mercury is placed in a glass container, the mercury surface curves downwards. These surface effects can be explained by considering the forces between molecules. 21

In particular, we must consider the forces that the molecules of the liquid exert on one another and the forces that the molecules of the glass surface exert on those of the liquid. In general terms, forces between like molecules, such as the forces between water molecules, are called cohesive forces, and forces between unlike molecules, such as those exerted by glass on water, are called adhesive forces. 22

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