Archive for the ‘Backyard Science’ Category

Hail and Thunderstorm Updraft Strength

Wednesday, July 2nd, 2008

This blog was written just before departing for the GLOBE Learning Expedition meeting in South Africa. I’ll be posting some additional blogs about the meeting in the coming weeks. In the meantime, after you read this blog, check out the GLOBE home page for student blogs and photos!

The weather report always tells you the wind direction and speed reported by a weather station near you. Sometimes you hear about the strong winds in the “jet stream” that exists several kilometers above the ground.

Did you ever wonder how strong the winds are in a thunderstorm? The up and down winds, I mean. You can make a rough guess on how strong the updraft in a thunderstorm is, if you have hail.

On the night of 4 June 2008, we had hail, so I decided to see how big it was. There are two ways to do this. You can go out and collect the hail, and measure it before it melts (which I have done), or you can take a picture of the hail – with a ruler or something to compare the hail to, and measure the size of the hailstones from a photograph.

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Figure 1. Picture of hail on our back porch, 1830 Local Daylight Time, 4 June 2008. Typical size is one centimeter in diameter. Since the slate surface was warm some of the hail that fell earlier may have melted some. Location: north part of Boulder, Colorado, USA.

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Figure 2. As in Figure 1, but hail on the grass. Typical size is 1 centimeter in diameter. The grass was cool enough so that the hail wasn’t melting as much as in the first picture.

In both pictures, the larger hailstones are typically about a centimeter in diameter, with a few that even larger. I don’t think there was much melting after the hailstones hit the ground, because I was taking the pictures as the hail was falling.

How can hail size tell you how strong the updraft is? The updraft has to be strong enough to hold the hail while it is growing. In other words, the hail continues to grow until its downward speed (which goes up with size and weight) is greater than the upward speed of the air.

Hail fall speed is determined by a balance between two forces: the downward pull of gravity and the drag force (air resistance) on the hailstone created by the air. As the hailstone falls faster, the air resistance gets bigger. Gravity of course stays the same. When the drag force is equal to the force of gravity, the hailstone reaches a constant downward speed, called its terminal velocity or terminal fall speed. The updraft has to be this strong to keep the hail from falling.

So we use the terminal fall speed to estimate the updraft speed. The hail will fall to the ground when the updraft weakens slightly, or when the hailstorm travels out of the updraft horizontally.

People have estimated the terminal fall speed of hail using equations, and they have measured it. I actually saw scientists measuring the fall speed of artificial hailstones (same shape and density as hailstones, but not ice) by dropping them down a stairwell that extended vertically about seven stories. Assuming a story is about 3.7 meters, that’s about 26 meters. Sometimes scientists measure the fall speeds of hail in nature. They can photograph them falling with a high-speed camera using strobe lights that flash on at regular intervals. Or they can measure hail vertical speed with a Doppler radar pointing straight up. It is more likely that the “natural” hailstones reached their terminal fall speeds than those in the stairwell.

Knight and Knight (2001) argue that the terminal fall speed is related to:

  1. Air density (hail falls faster through thinner air)
  2. Hailstone density (less dense hailstones fall more slowly)
  3. Drag coefficient (the effectiveness of the air in slowing down the hailstones)

The shape of the hailstone is also important, but Knight and Knight assume the hailstones are spherical to keep the problem simple.

The graph shows how hail terminal velocity (or fall speed) is related to hail diameter.

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Figure 3. Hail fall speed (and hence updraft needed) as a function of hail diameter. Red curves are from Knight and Knight (2001); Black points read off figure in http://www.jdkoontz.com/articles/hail.pdf.

For our one-centimeter hailstone, the graph shows a range of values, based on assumptions on air density at the height the hail is forming (taken by Knight and Knight as somewhere around 5.5 kilometer above sea level, where the air pressure is about 500 millibars or hectoPascals, temperature 253.16 K), drag coefficient, and the ice density in the hailstones. I picked up the hailstones, and they appeared to be solid ice rather than soft, so the ice density was probably about 0.9 grams per cubic centimeter. This suggests the updraft speed was between 13 and 18 meters per second, or between 29 miles per hour and 40 miles per hour.

According to the U.S. National Severe Storms Laboratory website, a one-centimeter hailstone falls at about nine meters per second – meaning that the updraft has to be that strong. This means the air had to be moving upward at 32 kilometers per hour or 20 miles per hour. This is more consistent with the less-dense hail.

So – to be safe, I would say the updraft overhead was between 9 meters per second and 18 meters per second. There are too many factors that we don’t really know to get much more accurate than that. This is between 32 and 65 kilometers an hour, or between 20 and 40 miles per hour.

The Encyclopedia of Climate and Weather (New York, Oxford University Press, Stephen Schneider) quotes a 47 meter per second fall speed (or necessary updraft) for a 14.4 centimeter hailstone, translates to a little over 100 miles per hour!

So – next time you have a hailstorm, measure the diameter of some hailstones to find out roughly how strong the updraft was! But if the hail is large, either photograph it from a safe place or wait until the large hail has stopped. If you don’t have a camera, collect some hail stones, put them in a plastic bag, and put them in a freezer until you have time to measure them.

Related blog: “More about Hail,” (No 19, 1 November 2006).

Reference:

Knight, Charles, and Nancy Knight, 2001: Hailstorms. In Severe Convective Storms, C. A. Doswell III, Ed., Meteorological Monographs, volume 28, No. 50. Published by the American Meteorological Society

“Fropas”

Friday, May 23rd, 2008

One of the most exciting weather phenomena is the passage of a front, called a “Fropas” (FROH-pah) by meteorologists. Especially a strong cold front. A front is simply the boundary between a large mass of cold air and a large mass of warm air. When the cold air mass is moving in to replace the warm air, the front is called a “cold front.” Norwegian meteorologists used the name “front” to describe this boundary because the turbulent weather that occurs there reminded them of the battle fronts in World War I. One really nice thing about fronts is that you can often see them from space, and from radars. You can also see how the cloud patterns change as the front passes. I show some examples below for some fronts that passed through Boulder this spring.

From a satellite, cold fronts are sometimes quite easy to identify at least roughly. Here is the satellite image of a front that passed through Boulder on 12 May 2008. The image is centered on Colorado. The arc-shaped group of clouds, open to the northeast, marks the front.

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Figure 1. Satellite image close to time that a cold front passed through Boulder, Colorado, at 2202 UTC (16:02 or 4:02 p.m. Local Daylight Time) 12 May 2008, from http://www.rap.ucar.edu/weather/satellite/. The arc of clouds over northeastern Colorado marks the leading edge of the front. Colorado is the rectangular-shaped state in the middle of the figure. The northwest-southeast band that covers much of the northwest part of the image is related to the larger-scale pressure pattern higher up.

Note that all the charts and images (except for the cloud pictures) are from the UCAR weather page.

You can also see the arc of clouds in the center of Figure 2 (light bluish-green echoes). This means that the clouds contain some rain-sized particles. Behind (northeast) of the front, the weak signal is probably from insects. The blue-and-green echoes at the top of the radar image represent an area of precipitation.

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Figure 2. Radar image for 21:58 UTC (15:58 or 3:58 p.m. Local Daylight Time) showing the clouds (greenish-blue arc open to the northeast) corresponding to the cold front. The thick straight white lines show the north and east borders of Colorado; the circle is centered at the radar, at a distance of 150 km (slightly less than 100 miles). The thin white lines are the boundaries of the counties. From http://www.rap.ucar.edu/weather/radar/

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Figure 3. Surface data at 00:45 UTC 13 May (18:45 or 6:45 p.m. Local Daylight Time 12 May). The circles (or squares) lie on the observation locations; the line from the circle/square points to the direction from which the wind is blowing; the number of barbs on the line gives the wind speed. Each full barb represents about 5 meters per second (10 knots), so two barbs mean about 10 meters per second, and three barbs mean about 15 meters per second. The front in this figure is slightly to the south of where it was in Figures 1 and 2. From
http://www.rap.ucar.edu/weather/surface/.

Figure 3 shows the wind direction and temperature changes across the front. Notice how the wind changes abruptly in eastern Colorado. In northeast Colorado, the winds are out of the northeast or the north-northeast, at around 20-30 knots (10-15 meters per second). In southeastern Colorado (ahead of the front), the winds are out of the southwest at 15 to 25 knots (7-12 meters per second). The temperatures (red numbers, Fahrenheit degrees) are warmer south of the front, where the wind is out of the southwest. (Note: we are just considering the airflow east of the mountains, which go north-south across the center of Colorado).

What does the front look like from a point?

When the front passed Boulder, the wind changed from west-southwest (270 to 225 degrees) to northeast (around 45 degrees, Figure 4). From both this figure and the map showing the winds, we see that the winds are coming together at the location of the arc. This means that the air has to go up at the arc. In fact, the warmer, lighter air flows up over the heavier, cold air. As the air rises, it cools, and water starts to condense, forming the clouds we see in the radar and satellite images.

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Figure 4. Wind direction at NCAR Foothills Laboratory, Boulder, Colorado, USA. Note the direction change between 13:15 and 16:15 (1:15 p.m and 4:14 p.m.) Local Daylight Time (Add six hours to get Universal Coordinated Time, or UTC). (270 degrees = west wind; 0 or 360 degrees = north wind, 90 degrees = east wind, 180 degrees = south wind). To get UTC, add 6 hours to Local Daylight Time. From
http://www.rap.ucar.edu/weather; click on “Foothills” under “current conditions” on the right hand side of the page.

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Figure 5. As for Figure 4, but for wind speed. Note the winds reached 20 miles per hour (~ 20 knots or 10 meters per second) and stronger near the front.

Once the wind shifted to northeast, it was bringing with it cooler air from the north, as shown in Figure 6. Notice that the cool air also has a higher dew point.

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Figure 6. As for Figure 4, but for temperature (red) and dew point (blue). Note the sudden temperature drop at the same time the wind changes.

Have you heard the rule, “Air tends to move from high to low pressure.”? Figure 7 shows that air pressure was lowest around the time the front passed. So a map showing pressure would show the lowest pressures at or near the front’s (cloud arc’s) location.

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Figure 7. As in Figure 4, but for air pressure. Note the lowest pressure comes just before the sudden jump in temperature and dew point, and the sudden shift in wind direction. There are about 33.86 inches in one millibars (hectopascals).

I did not photograph the clouds on this day, but did for another frontal passage. The charts, shown below in Figure 8, show similar patterns to the three from the frontal passage on 12 May 2008, except that the winds behind the front were from the northwest (around 315 degrees).

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Figure 8. As in Figure 4, but for wind direction, temperature, and pressure, for frontal passage around 13:30 local time 4 March 2008, at NCAR Foothills Laboratory in Boulder, Colorado, USA. To get UTC, add 7 hours to local time (Local Standard Time).

Here are the clouds with this front. Note that the structure changed from spring-like fair-weather cumulus, to more wintry clouds, with some snow falling nearer the mountains.

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Figure 9. Looking south. Note the cumulus clouds to the south, and the less distinct clouds overhead at this time.

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Figure 10. Looking east. Notice the change in structure from the right (southeast) to the left (northeast).

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Figure 11. Looking northwest. Light snow is probably falling from the clouds.

When you see a front pass near your location, go to one of the satellite web sites mentioned in the 9 May 2008 blog, “Watching Clouds,” to see if the front can be seen from space. Or, if you are in one of the contiguous United States, you can go to http://www.rap.ucar.edu/weather, select “satellite” and click on your part of the country. You can also access the temperature maps (select “surface”) and radars (select “radar”) at this site.

Wind Power

Friday, May 16th, 2008

The cost of using fossil fuels has gone up – we paid over $4.00 a gallon for gasoline for the first time this weekend. But of course there is the no-longer-hidden cost of what the carbon dioxide and other greenhouse gases released to the air when the fuel is burned do to our climate.

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Figure 1. Watching the gas prices get higher than the milk prices. (Left) 5 March 2008; (Right) 15 May 2008. The four-dollar gasoline was purchased in Nebraska.

People are starting to respond sensibly, if slowly, by developing more efficient ways to extract power from fossil fuels or other sources in our environment. There is talk of cleaner coal and gas power plants, and making hydropower more efficient. Nuclear power is being considered more seriously. And we are developing new ways to get the energy we need. Among these are biofuels (for transportation), solar power, power from tides, geothermal, and wind power.

This weekend, I had the opportunity to drive through a large wind farm in northeastern Colorado, whose location you can find from the maps below.

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Figure 2. (Left) location of Colorado. (Right) Location of Peetz.

The “wind farm,” near Peetz, Colorado, can generate up to 400 megawatts of energy. This makes the Peetz wind farm the second largest in the United States at this time. 400 megawatts is sufficient to power 120,000 homes in the U.S. There are 267 wind turbines, which cover an area that stretches for miles. It was fun to find out that oil is being pumped from the same land (Figure 3). Germany produces the most wind energy on Earth, with the U.S. second. According to the Global Wind Energy Council, wind power grew an average of 28% per year in the decade ending in 2006.

Theoretically, wind can be used to meet much of the world’s energy needs. But what of the negative side?

Many are worried about wind turbines killing birds. Current estimates of bird deaths from turbines run into the tens of thousands (U.S. statistics). To put this into perspective, many more birds are killed by collisions with automobiles, transmission towers, power lines, and windows. Such statistics aside, the danger to breeding populations, particularly of bird species that are no longer abundant, needs to be understood and considered.

But there are additional concerns. How do wind turbines themselves affect the weather and climate? Believe it or not, people are actually thinking about this. Also, the wind doesn’t blow all the time, so either a method is needed to “store” the energy, or we would have to use energy from another source when the wind isn’t blowing. Also, some people think that wind turbines are ugly (though others think they are beautiful).

Would you want a wind farm in the countryside or sea shore near you?

One more thing to think about. While higher energy prices make it harder for us to pay our bills for electricity, heating, and gasoline; high prices for energy also mean that industry will be more willing to develop new ways of extracting energy. Or, industry may be more willing to invest in figuring out ways to make conventional sources of energy more efficient. And higher energy prices make us more interested in using energy more efficiently by taking simple steps like turning out lights when we are not in the room, wearing a sweater and keeping the inside temperature cooler in the winter, and walking or taking the bus instead of driving.

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Figure 3. A new and growing source of power – wind turbines, surrounding an oil pump (“pump jack”), representing a more traditional source of power. Near Peetz, Colorado, U.S.A.

Watching Clouds

Friday, May 9th, 2008

In the last blog, I looked down – at a puddle. But most of the time, I look up: to see what birds are overhead, and to watch clouds.

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Figure 1. Picture of fair-weather cumulus clouds east of Beloit, Wisconsin, USA.

Have you ever wondered how big a cloud is? Or how much it weighs? Or how long it lasts?

I’ve often thought about these questions, and it is actually fairly simple to get some “typical” answers.

How big is a cloud? What is its height? Width? Volume?

There are a several ways to get an idea how “big” clouds are.

You can look at clouds in a satellite image of your area, and “scale” the clouds to the size of the state or country you live in. This works best for larger clouds like thunderstorm clouds, or sheets of stratocumulus or altocumulus that stretch across the sky. Some sites for accessing satellite pictures are:

When you are in an airplane or on a mountainside or tall building, you can look at the shads of the clouds on the ground. In the Midwestern United States, the land is divided into one-mile (1.6-kilometer) sections; with roads often marking the sides of the section, so that the land looks like graph paper. By comparing the size of the shadow to the mile-square sections, you can see how big the cloud is.

When you are in airplane (or a car, bus, or train), you can time how long it takes to pass through a cloud or its shadow. For the airplane, you need to know how fast it is traveling with respect to the air.

  • For a jet airplane at cruising altitude, 550 miles per hour or 250 meters per second is a good first guess. So, if it takes 10 seconds to pass through a cloud, the cloud is 2.5 kilometers wide.
  • For a car, you need to assume that the cloud isn’t traveling very fast, since clouds can travel as fast as cars. If you are traveling at 70 miles per hour (about 35 meters per second) beneath a cloud that is not moving, and it takes 10 seconds to go through the its shadow, the cloud is 350 meters across. If the cloud is traveling with the car, you might overestimate the cloud’s width. (If the cloud travels as fast as you are traveling in the same direction as the car, you will stay in shadow as long as the cloud exists). Things get more complicated if the cloud moves across your path. Also, late in the afternoon, cloud shadow size increases with the depth as well as the width of the cloud. But remember, we’re only trying to get a rough idea of cloud size.

How much does a cloud weigh?

I include only the water in the cloud – not the air. Think about a “typical” cumulus cloud, about a kilometer on a side.

The volume of this cumulus cloud is:

1000 meters times 1000 meters .times 1000 meters, or 1,000,000,000 cubic meters

Measurements from aircraft flying through cumulus clouds suggest a cubic meter contains about 0.5 grams of water – that’s the equivalent of a drop about 0.5 cm in diameter – about the size of small marble. Thus our “typical” cloud weighs

0.5 gram per cubic meter times 1,000,000,000 cubic meter = 500,000,000 grams or 500,000 kilograms, 1,100,000 pounds, or 550 tons.

Why doesn’t a cloud fall out of the sky, if it’s so heavy?

If the cloud were a 550-ton weight, the cloud would fall out of the sky. But a cloud is made up of tiny droplets, which fall very, very slowly. (You can check this out by dropping tiny pieces of paper and watch how slowly they fall). A cloud droplet is tiny – it’s about 100th the diameter of a typical rain drop – or one-millionth of the volume!

Cloud droplets do fall, only slowly. But something else is often happening. The air in many clouds is rising. For example, in our typical cumulus cloud, the air can be rising at a rate of several meters a second – enough not only to keep the smallest cloud droplets from falling, but even smaller raindrops might never reach the ground.

Why is the air rising? In the case of our cumulus cloud, the air is rising because it is less dense than the surrounding air. This is mostly because the air in the cloud is warmer than the surrounding air. The air, being buoyant, will rise until it encounters air warmer than it is.

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Figure 2. The air in this cumulonimbus cloud was rising, but slowed down and spread out when it was no longer buoyant.

In some clouds, though, the particles are falling. In the cloud in the photograph below, ice particles are falling.

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Figure 3. Ice crystal fall streaks forming cirrus clouds.

This discussion is from:
LeMone, M.A., 2008: The Stories Clouds Tell. Published by the University Corporation for Atmospheric Research. Available from the NCAR Science Store. This booklet was originally written for the American Meteorological Society for use by teachers participating in Project ATMOSPHERE.

For more about clouds, GLOBE has the following resources:

Also, you can find more at Windows to the Universe:

Go to bottom of page and you will see a link to clouds in art.

Finally, there are time-lapse cloud pictures at:

Part 5. Postscript to Missouri Puddles Blog

Tuesday, April 15th, 2008

(If you are interested in the Pole to Pole videoconference, just scroll down – it’s just below this one. I’m finishing up the puddles blog so that I can write a blog or two on inquiry, using the puddles as my example).

As I was proofreading the puddles blog upon returning to Colorado, I started wondering if the puddle simply had been left behind from the previous week’s rains, and that salt may have kept the puddle from freezing.

I had the opportunity to check this last week, on a second trip to Missouri. Again, there had been rain a few days before I arrived. And again, there was a puddle in the same place. But this time I could see clearly that water was flowing into the puddle (and other places along the road) from gaps in the curb as well as some in the street. You can see this in Figures 11 and 12.

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Figure 11. A new puddle (photographed 19 March) at the same location of the one photographed in February, in Columbia, Missouri. Note that water is leaking through a gap in the curb as well as part of the crack.

I also discovered that the puddle was not in a dip in the road, as I had suspected earlier, but it was located in a place the road was nearly horizontal (okay, maybe a very shallow drip): There was actually some flow downhill toward the lowest spot, where water drained into a sewer. Finally, I discovered that the puddle is only about 2 meters (6.6 feet) above the lake.

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Figure 12. Closeup of the puddle.

There were other puddles along the road, formed from drainage through gaps in the curb and sometimes gaps in the pavement of the road (most of the cracks in the roadbed are sealed with tar).

After a few days with temperatures rising to around 15 degrees Celsius (59 degrees Fahrenheit, the puddle finally disappeared. Where the water was, a white stain on the road revealed that salt had collected there; and there was drier soil carried along with the water feeding the puddle.

Another day with no puddles convinced me that the pipe connecting the fire hydrants (see earlier parts of this blog) was not leaking.

So, with a little extra data I was able to confirm the hypothesis that the puddle was being fed by subsurface water flowing at least through a gap in the curb (which is ~15 centimeters or 6 inches high) and possibly the crack in the road. Salt clearly also played a role in keeping the water from freezing.

I also found out something else. My brother and sister-in-law’s house was heated and cooled by pumping groundwater up to the house. Remember, the temperature 30 meters (100 feet) down – or even 10 meters (30 feet) down – is close to the average temperature for the whole year (in Columbia, about 13 degrees Celsius or 55 degrees Fahrenheit). So the water pumped up to the surface in the summer will be much cooler than the air temperature, and thus can be used to cool the house. In the winter, the ground water is almost always warmer than the house, so it can be pumped up to warm the house.

But remember – the temperature of the ground water – and the average temperature – is about 13 degrees Celsius (55 degrees Fahrenheit). That’s not warm enough to heat the house in winter, so another method is needed to bring the temperature up from 13 degrees to a more comfortable 20 degrees Celsius (68 degrees Fahrenheit) or so.

Next time: how the investigation of this puddle illustrates the inquiry process – or the “scientific method.”