|
|
|
Back to Dr. Dirt |
Click for larger images. |
| The diagram at right shows how water acts when placed in a
glass or plastic
cylinder. It happens with some other substances as well.
The
adhesion of the water for the glass allows the water to move up the
wall
of the cylinder just a little above the level of the water in the
center
of the cylinder. Cohesion of water molecules pulls some water up
the wall, working against gravity, which is pulling down, causing the
gradual
downward curve
observed. There is a negative pressure along the curve surface. |
|
|
The meniscus in the graduated cylinder can be observed in the
photo at right. When read at the bottom of the meniscus, there
are 24 ml of
colored water in the cylinder. But adhesion of water for glass
has
pulled the water up around the sides to about the 24.5 ml line.
Always
read the bottom of the meniscus. This can be seen more easily in
the
larger image. (Larger picture) |
| The height water will rise in a small cylinder, or capillary
tube, is
dependent on the diameter of the tube, and is affected by the density
of
the water and the gas (which are functions of temperature), the
acceleration of gravity, the contact angle (water with the glass), and
the surface tension of the liquid. (Larger picture) But with water in air, the formula simplifies to h = 0.3 / d, where h is the height of rise, and d is the diameter of the capillary tube, when both are measured in centimeters. <>In the larger image, it can be seen that the height of water in the dish is 5 mm. The height of rise in the capillary tubes above the water level in the dish ranges from 1 mm in the straw on the left to 42 mm in the small capillary on the right. So the smallest capillary diameter is 0.07 cm, or 0.7 mm. The height of rise in the straws is less than would be expected in a glass capillary because of lower adhesion between water and plastic. |
|
|
The effect of capillarity in soil pores can be seen between
the glass beads on the left. Water was added to the beads when
they were in contact.
Then the beads were separated. The water is adhering to the
beads,
but cohesion keeps a strand of water between the beads. As the
gap
widens, the strand of water gets narrower until it eventually breaks
because
cohesion of the water is not strong enough to pull the water together
over
wide distances. (A brief video clip is available in Quicktime
(QT) or RealPlayer
(RP) formats. If neither is available on your computer, click the name
above to download them. See clip: QT,
RP.) (Larger picture) This is essentially why water moves up farther into smaller
capillary tubes. There is less mass of water in a small capillary
and the cohesion of water can hold a longer water column. |
| A student asked a great question
about what happens if the capillary tubes are not vertical (right
angles to the water surface). We used capillary tubes of different
lengths, taken from the same piece of capillary glass tubing. Even
though they were taken from the same piece, they did not have the same
exact diameter, and so there were small differences in the height of
rise in the tubes (0.2 cm difference). This is important to note
since there are also differences in height in the measured rise when
the tubes were placed at angles. The water rose in the capillary tubes 4.1 to 4.3 cm above the free water surface. Apparently the inside diameter of the tubes was not consistent throughout the entire 3 foot length (which was broken into four smaller pieces). |
![]() |
![]() |
In this passive system at
equlibrium, when the tubes were angled at 90, 30, 26, and 7.5 degrees
from horizontal, the water rose vertically the same distance as it did
in the picture above. To picture this, make a right triangle down from each tube at the point where the water stopped. The height above the water at this point is the same as when the tube was held vertically in the picture above. The difference in the height of rise for the two middle angles is the same as for the middle two tubes in the picture above. So, angle does not affect the height of rise. |
| Updated
01-27-2009 Copyright 2005. Clay Robinson, Ph.D., as to all resources: Materials may not be reproduced without Dr. Robinson's written consent. Students are prohibited from selling (or being paid for taking) notes or webpages during this course to or by any person or commercial firm without the express written permission of the developer of these pages. |
|