Showing posts with label Potential energy. Show all posts
Showing posts with label Potential energy. Show all posts

Monday, December 7, 2020

AEROBATICS - It's pretty amazing that anyone can fly an airplane in the first place. But for an elite cadre of exceptionally skilled and extremely nervy aviators, plain old straightforward flight isn't thrilling enough. Instead, in the parlance of test pilots, these aviators push the envelope, doing exotic midair maneuvers -- loops, rolls, spins, abrupt changes of direction, and even flying straight up like a rocket. These tricks are so gravity-defying that even birds would be envious. This type of flying is called aerobatics, and it's almost as old as the airplane itself. In fact, the very first aerobatic flyers were Orville and Wilbur Wright, the two men who invented the airplane itself. In September 1904, only nine months after their first-ever heavier-than-air powered flight, the Wrights successfully performed the first aerobatic maneuver, a 360-degree banked turn. The feat was more amazing than you might think because ailerons, the hinged panels that go up and down to tilt a fixed-wing aircraft to the left or right, hadn't yet been invented. Instead, the brothers utilized a cumbersome system that actually tilted the entire wing. Aerobatics soon morphed into hair-raising, daredevil entertainment for spectators at county fairs and air shows. And it's now evolved into an established international sport, with rules and regulations and records. Aerobatics tricks often have exotic names, like the Pugachev's Cobra -- names that are puzzling to all but those who are steeped in the sport. The possibility of injury or death performing a stunt is something a stunt pilot learns to live with and respect. Aerobatics isn't a sport for milquetoasts, or fools.

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Aerobatics

How Aerobatics Works

By PATRICK J. KIGER


 

It's pretty amazing that anyone can fly an airplane in the first place.

But for an elite cadre of exceptionally skilled and extremely nervy aviators, plain old straightforward flight isn't thrilling enough.

Instead, in the parlance of test pilots, these aviators push the envelope, doing exotic midair maneuvers -- loops, rolls, spins, abrupt changes of direction, and even flying straight up like a rocket.

These tricks are so gravity-defying that even birds would be envious.

This type of flying is called aerobatics, and it's almost as old as the airplane itself.

In fact, the very first aerobatic flyers were Orville and Wilbur Wright, the two men who invented the airplane itself.

In September 1904, only nine months after their first-ever heavier-than-air powered flight, the Wrights successfully performed the first aerobatic maneuver, a 360-degree banked turn.

The feat was more amazing than you might think because ailerons, the hinged panels that go up and down to tilt a fixed-wing aircraft to the left or right, hadn't yet been invented.

Instead, the brothers utilized a cumbersome system that actually tilted the entire wing.

Aerobatics soon morphed into hair-raising, daredevil entertainment for spectators at county fairs and air shows.

And it's now evolved into an established international sport, with rules and regulations and records.

In this article, we'll look at the types of tricks aerobatics pilots perform, and how they manage to pull them off safely and land in one piece -- or not.

But first, let's take a closer look at the history of aerobatics and the sport's true pioneers.

Aerobatics Inventors

Orville and Wilbur Wright may have been the first to perform an aerobatic move, but the real aerobatic pioneers were the barnstorming American and European pilots who performed exhibitions for paying audiences at fairs and air meets in the 1910s and 1920s. Spectators grew bored with mundane, everyday airplane maneuvers, so the entertainers began attempting increasingly fancy stunts. The scarier the stunts, the better.

One of the great showmen of that era was American pilot Lincoln Beachley who startled crowds with his "death dip," in which he flew to 5,000 feet (1,524 meters), turned off the engine, and then dove straight down at the ground, only to pull up at the last second.

At times he added to the difficulty by flying under telegraph wires or through a grove of trees.

After Russian military flyer Petr Nikolaevich Nestoy invented the loop in 1913, Beachley had aviation designer Glenn Curtis create a special plane made for the maneuver.

He began performing the trick at shows, charging a fee of $500 for the first loop and $200 for each one afterward.

After World War I, many returning fighter pilots, who used aerobatic maneuvers to win dogfights, began second careers as air show performers.

In 1927, the first international aerobatics competition was held in Zurich, and trick flying gradually morphed into a sport with rules and standards.

Aerobatics has continued to evolve over the years.

After World War II, the aircrafts' increased speed and other capabilities actually made some of the early pilots' maneuvers too dangerous to perform anymore.

But clever pilots soon developed other moves to take their places.

In the 1950s, Czech aerobatics flyers, for example, invented a maneuver called the lomcovak, a series of bizarre gyroscope twists during which the plane rotated on all three axes.

Aerobatics pilots also have developed the ability to fly in nearly perfect circles and accurate figure eights, and to do maneuvers in formations so close that their wings almost appear to be touching.

Next, we'll take a look at some of the tricks aerobatics pilots perform.

Aerobatics Maneuvers

Aerobatics tricks often have exotic names, like the Pugachev's Cobra -- names that are puzzling to all but those who are steeped in the sport.

But listed below are some of the more familiar maneuvers. If the descriptions are too hard to visualize, check out the Web site of Sunrise Aviation, an aerobatics school, which provides animated graphics that illustrate most of these maneuvers.

Chandelle: This is a combination of a vertical climb and a turn. It's actually a basic flying fundamental, rather than a true aerobatic move. But you'll see stunt pilots do it as part of more complicated maneuvers.

Dive: This one's just like it sounds. The plane's nose is turned downward, though the plane is not necessarily completely perpendicular to the ground. Diving causes an increase in air speed, which the pilot can use to pull up at the right moment.

Loop: A loop is when an aircraft flies upward and then, at the top of its arc, begins to slow down, so that it turns down and completes the circle. You can do an inward or outward loop.

Roll: A roll is a 360-degree revolution along the plane's longitudinal axis.

Barrel roll: A barrel roll is a combination of a loop and a roll. The flight path is the shape of a corkscrew.

Wingover: A wingover is a left or right 180-degree tight turn at the top of an upward quarter loop.

Hammerhead or stall turn: Contrary to its name, this maneuver doesn't actually involve stalling. The plane soars upward and then abruptly turns 180 degrees and descends.

Cuban eight: The plane does five-eighths of a loop to the 45 degree line, a half-roll, another five-eighths of a loop back to the 45 degree line again, another half roll, and then three-eighths of a loop to level out. If that's too complicated to picture, imagine a Hot Wheels car doing a figure eight on one of those loop-de-loop tracks. The variations include the Half Cuban Eight and the Reverse Half Cuban Eight.

These maneuvers sound pretty dangerous, and we'll cover that topic on the next page.

Aerobatics Dangers

So how do stunt pilots do those maneuvers without spinning out of control -- or worse, crashing and being killed? Sometimes they can't.

Some of the most illustrious early aerobatics pioneers, like Lincoln Beachley, for example, ended up buying the farm via aerobatics.

The possibility of injury or death performing a stunt is something a stunt pilot learns to live with and respect. Aerobatics isn't a sport for milquetoasts, or fools.

As explained in Geza Szurovy's and Mike Goulian's how-to textbook "Basic Aerobatics," one secret of staying alive and looking good in the process is to adeptly calculate and manage the amount of kinetic energy -- that is, airspeed -- used in a maneuver.

If you don't go fast enough, the aircraft won't have enough kinetic energy to perform the stunt properly.

On the other hand, if you're going too fast, you'll overstress the physical limits of the plane's structure and components. And the result can be very, very bad.

Adept stunt pilots are masters of conserving energy by balancing the plane's air speed-kinetic energy against the potential energy in its altitude.

During a typical aerobatic maneuver, an increase in air speed is balanced by a decrease in altitude, or vice versa.

If that's a bit too abstract for you, here's an example.

When an aerobatic pilot pulls up into an inside loop, he or she is converting kinetic energy (air speed) into potential energy (altitude).

As the aircraft floats at the top of the loop, the potential energy is at its maximum, but the aircraft is slowing down, so that its kinetic energy is at the lowest point.

As the aircraft descends, the potential energy decreases and the kinetic energy increases again.

Of course, that's just one greatly oversimplified version of the scores of complex, delicate physics equations that a pilot must make while he or she is doing hair-raising tricks thousands of feet above the ground.

He or she also must deal with other hazards, like the effect of acceleration and the resulting G forces on the human body.

Too many Gs and the blood can be shunted away from the brain, causing a blackout. Inducing negative Gs, on the other hand, can pump too much blood into the brain, interfering with vision and hearing.

For more on airplanes and flying, visit the links on the next page.

Aerobatics: Author’s Note

I've flown as a passenger in small aircraft and helicopters enough times to understand how precarious flight actually is.

So it's utterly amazing to me that some pilots have the nerves and skill to attempt hair-raising stunts in the air.

It was interesting to learn about the long history of stunt flying and that it dates back practically to the invention of the airplane itself.

Those early aerobatics pioneers really had to have a lot of courage, since the aircraft they flew were far less sophisticated than the planes used for stunts today.

It was also fascinating to learn that what appears to be random craziness in the air actually is an elaborately structured sport, with rules and standard maneuvers.

Aerobatics: Cheat Sheet

Stuff you need to know:

·      Aerobatics is a type of flying in which pilots demonstrate their skill by performing exotic midair maneuvers, including loops, rolls, spins, abrupt changes of direction and even flying straight up like a rocket.

·      Aerobatics is practically as old as flying itself, and the first aerobatic maneuver -- a 360-degree banked turn -- actually was performed by the Wright brothers in 1904.

·      Since the late 1920s, when the first international aerobatics competition was held in Zurich, aerobatics gradually evolved into a sport with rules and standards.

·      Standard aerobatics maneuvers include Chandelles, dives, loops, rolls, wingovers, stall turns and Cuban eights.

·      To keep from crashing, aerobatics pilots must carefully calculate and manage the amount of kinetic energy used in a maneuver.

·      Some aerobatics pilots are so skilled that they can fly in formation so close together that their wings appear to be touching.

Patrick J. Kiger has written for HowStuffWorks since 2008 covering a wide array of topics, from history and politics to pop culture and technology. He worked as a newspaper reporter for the Pittsburgh Press, and the Orange County Register in California, where he covered one of the biggest serial murder cases in U.S. history, and also as a staff writer at Baltimore Magazine. As a freelancer, Patrick has written for print publications such as GQ, Mother Jones and the Los Angeles Times, and on the web for National Geographic Channel, Discovery News, Science Channel and Fast Company, among others. In recent years, he's become increasingly interested in how technological advances are altering urban life and the design of cities, and has written extensively on that subject for Urban Land magazine. In his spare time, Patrick is a longtime martial arts student and a fan of crime fiction, punk rock and classic Hollywood films.

https://science.howstuffworks.com/transport/flight/future/aerobatics.htm



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Sunday, November 22, 2020

GROUNDWATER FLOW - Groundwater moves much more slowly than surface water. Groundwater moves by percolating through a complex, crooked network of tiny conduits. Friction between groundwater and conduit walls slows down the water flow. The velocity of groundwater flow depends on the slope of the water table and the permeability of the material through which the groundwater is flowing. Thus, groundwater flows faster through high-permeability rocks than it does through low-permeability rocks, and it flows faster in regions where the water table has a steep slope than it does in regions where the water table has a gentle slope. What happens to groundwater over time? Does it just sit, unmoving, like the water in a stagnant puddle, or does it flow and eventually find its way back to the surface? Countless measurements confirm that groundwater enjoys the latter fate; groundwater indeed flows, and in some cases it moves great distances underground. Let’s examine factors that drive groundwater flow. In the unsaturated zone the region between the ground surface and the water table, water percolates straight down, like the water passing through a drip coffee maker, for this water moves only in response to the downward pull of gravity. But in the zone of saturation the region below the water table water flow is more complex, for in addition to the downward pull of gravity, water responds to differences in pressure.

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Groundwater Flow

Groundwater moves much more slowly than surface water. Groundwater moves by percolating through a complex, crooked network of tiny conduits. Friction between groundwater and conduit walls slows down the water flow. The velocity of groundwater flow depends on the slope of the water table and the permeability of the material through which the groundwater is flowing. Thus, groundwater flows faster through high-permeability rocks than it does through low-permeability rocks, and it flows faster in regions where the water table has a steep slope than it does in regions where the water table has a gentle slope.

Muhammad Qasim



What happens to groundwater over time?

Does it just sit, unmoving, like the water in a stagnant puddle, or does it flow and eventually find its way back to the surface?

Countless measurements confirm that groundwater enjoys the latter fate; groundwater indeed flows, and in some cases it moves great distances underground.

Let’s examine factors that drive groundwater flow. 

In the unsaturated zone the region between the ground surface and the water table, water percolates straight down, like the water passing through a drip coffee maker, for this water moves only in response to the downward pull of gravity.

But in the zone of saturation the region below the water table water flow is more complex, for in addition to the downward pull of gravity, water responds to differences in pressure.

Pressure can cause groundwater to flow sideways, or even upward. (If you've ever watched water spray from a fountain, you've seen pressure pushing water upward.)

Thus, to understand the nature of groundwater flow, we must first understand the origin of pressure in groundwater.

For simplicity, we’ll consider only the case of groundwater in an unconfined aquifer. 

The shape of water table beneath hilly topography.






Pressure in groundwater at a specific point underground is caused by the weight of all the overlying water from that point up to the water table.

(The weight of overlying rock does not contribute to the pressure exerted on groundwater, for the contact points between mineral grains bear the rock’s weight.)

Thus, a point at a greater depth below the water table feels more pressure than does a point at lesser depth.

If the water table is horizontal, the pressure acting on an imaginary horizontal reference plane at a specified depth below the water table is the same everywhere.

But if the water table is not horizontal, as shown in above, the pressure at points on a horizontal reference plane at depth changes with location.

For example, the pressure acting at point p1, which lies below the hill in figure above, is greater than the pressure acting at point p2, which lies below the valley, even though both p1 and p2 are at the same elevation. 

Both the elevation of a volume of groundwater and the pressure within the water provide energy that, if given the chance, will cause the water to flow.

Physicists refer to such stored energy as potential energy.

The potential energy available to drive the flow of a given volume of groundwater at a location is called the hydraulic head.

To measure the hydraulic head at a point in an aquifer, hydrogeologists drill a vertical hole down to the point and then insert a pipe in the hole.

The height above a reference elevation (for example, sea level) to which water rises in the pipe represents the hydraulic head water rises higher in the pipe where the head is higher.

As a rule, groundwater flows from regions where it has higher hydraulic head to regions where it has lower hydraulic head.

This statement generally implies that groundwater regionally flows from locations where the water table is higher to locations where the water table is lower. 

Hydrogeologists have calculated how hydraulic head changes with location underground, by taking into account both the effect of gravity and the effect of pressure.

The flow of groundwater.

These calculations reveal that groundwater flows along concave-up curved paths, as illustrated in cross section (figure above a, b).

These curved paths eventually take groundwater from regions where the water table is high (under a hill) to regions where the water table is low (below a valley), but because of flow-path shape, some groundwater may flow deep down into the crust along the first part of its path and then may flow back up, toward the ground surface, along the final part of its path.

The location where water enters the ground (where the flow direction has a downward trajectory) is called the recharge area, and the location where groundwater flows back up to the surface is called the discharge area (see figure above a). 

Flowing water in an ocean current moves at up to 3 km per hour, and water in a steep river channel can reach speeds of up to 30 km per hour.

In contrast, groundwater moves at less than a snail’s pace, between 0.01 and 1.4 m per day (about 4 to 500 m per year).

Groundwater moves much more slowly than surface water, for two reasons.

First, groundwater moves by percolating through a complex, crooked network of tiny conduits, so it must travel a much greater distance than it would if it could follow a straight path.

Second, friction between groundwater and conduit walls slows down the water flow. 

Simplistically, the velocity of groundwater flow depends on the slope of the water table and the permeability of the material through which the groundwater is flowing.

Thus, groundwater flows faster through high-permeability rocks than it does through low-permeability rocks, and it flows faster in regions where the water table has a steep slope than it does in regions where the water table has a gentle slope.

For example, groundwater flows relatively slowly (2 m per year) through a low-permeability aquifer under the Great Plains, but flows relatively quickly (30 m per year) through a high-permeability aquifer under a steep hillslope.

In detail, hydrogeologists use Darcy’s Law to determine flow rates at a location.

Darcy’s Law for Groundwater Flow 

The rate at which groundwater flows at a given location depends on the permeability of the material containing the groundwater; groundwater flows faster in a more permeable material than it does in a less permeable material.

The level to which water rises in a drill hole is the hydraulic head (h).
 The hydraulic gradient (HG) is the difference in head divided by
 the length of the flow path.

The rate also depends on the hydraulic gradient, the change in hydraulic head per unit of distance between two locations, as measured along the flow path. 

To calculate the hydraulic gradient, we divide the difference in hydraulic head between two points by the distance between the two points as measured along the flow path. This can be written as a formula:

hydraulic gradient = h1 - h2/j

where h1 - h2 is the difference in head (given in meters or feet, because head can be represented as an elevation) between two points along the water table, and j is the distance between the two points as measured along the flow path.

A hydraulic gradient exists anywhere that the water table has a slope.

Typically, the slope of the water table is so small that the path length is almost the same as the horizontal distance between two points.

So, in general, the hydraulic gradient is roughly equivalent to the slope of the water table. 

In 1856, a French engineer named Henry Darcy carried out a series of experiments designed to characterize factors that control the velocity at which groundwater flows between two locations (1 and 2), each of which has a different hydraulic head (h1 and h2).

Darcy represented the velocity of flow by a quantity called the discharge (Q), meaning the volume of water passing through an imaginary vertical plane perpendicular to the groundwater’s flow path in a given time.

He found that the discharge depends on the hydraulic head (h1- h2); the area (A) of the imaginary plane through which the groundwater is passing; and a number called the hydraulic conductivity (K).

The hydraulic conductivity represents the ease with which a fluid can flow through a material.

This, in turn, depends on many factors (such as the viscosity and density of the fluid), but mostly it reflects the permeability of the material.

The relationship that Darcy discovered, now known as Darcy’s law, can be written in the form of an equation as:

Q = KA(h1 - h2)/j 

The equation states that if the hydraulic gradient increases, discharge increases, and that as conductivity increases, discharge increases.

Put in simpler terms, the flow rate of groundwater increases as the permeability increases and as the slope of the water table gets steeper.

Muhammad Qasim

Gender  MALE

Industry Education

Location Pakistan

Interests Earth Sciences, Hydrogeology, Geoscience Communication, Geoscience Education and Outreach

Learning Geology is a science website and a community of Earth Scientists that shares geology lessons and host live virtual field tours from all around the world.

With our postings we aim to reach to our fellows with broader public regardless of the boundaries. The postings are done in the great interests of the fellow to learn more and more. The reason for writing is to provide an environment where we can give the best knowledge present just to be shared in the field of Earth and space sciences that we present here. Nobody judge anyone so feel free to feedback and let us know what great ideas you have, be a contributor. 

http://geologylearn.blogspot.com/2015/12/groundwater-flow.html


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