INQU4010 Fluid Mechanics

Momentum Transfer Operations

Neutron Star “Weird Physics”

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Scientists say they have discovered one of the strangest substances in the universe, a super-dense, friction-free fluid that apparently defies the laws of physics.

They found this stuff in a neutron star 11,000 light-years away.

Astrophysicists studying the center of Cassiopeia A, a neutron star that went supernova about 330 years ago, say they believe its core is composed of a rapidly cooling, unbelievably dense soup of frictionless neutrons and superconducting protons.

Fluidos Blog 8

Science teaches us that matter comes in solid, liquid and gaseous states. Super-fluids, at least those created in a lab, aren’t bound by friction and can exhibit strange properties, including the ability to flow up and out of glass containers.

A neutron star is the ultradense core left behind after a supernova. A supernova happens when a massive star collapses at its core and releases a blast of energy that blows off its outer layers. Such a collapse can produce a black hole or its more visible cousin, a neutron star.

“Neutron stars are the densest matter that has never disappeared, beyond our universe, which is what black holes are” -Craig Heinke.

Densely packed neutron stars are made up mainly of neutrons and cause matter to behave in strange ways that can’t be studied on Earth. It was discovered last year that the neutron star inside Cassiopeia A was cooling. It is about 2 million C on the outside and had cooled by about four per cent over 10 years. Rapid cooling was noticed by a team of Mexican scientists and this must mean the neutron star contains a superfluid, an unusual state of matter that has “some really funky effects,” Heinke said.

“If something is a superfluid, that means it flows without any friction whatsoever,” explained Heinke. “So a normal river flowing along will have friction with the lake and it will cause turbulence and eddies and whatnot. A superfluid can flow without any friction.”-Craig Heinke.

That state is only seen on Earth at very cold temperatures. Liquid helium can become a superfluid if it is cooled to a temperature slightly above absolute zero, or about -273 C..

“If you have some water in a teacup, a little bit of water will kind of move up the edges of the teacup, just a little bit. It stops because it’s kind of running into some friction as it’s going (up) and that takes away its energy. The superfluid runs into no friction so it can actually flow up the side of the teacup and around (the edge) down and onto the base and then flow off your table and onto the floor. So the superfluid helium can’t be contained in a container if it’s got an open top. The top has to be closed, and very tightly.”

Neutron stars are so extremely dense that a superfluid would form inside such a star at a much higher temperature, somewhere in the hundreds of millions of degrees. Along with the superfluid inside Cassiopeia A, the neutron star also contains a superconductor with a frictionless flow that keeps its charged particles moving. “So it becomes a perfect electrical conductor, and that means that if you run a current through it, that current will never cease, it will never have any resistance,” .

“Similarly to superfluidity, superconductivity happens when you get below a certain temperature.”

Superconductors have been observed on Earth in extreme cold, around -100 C, he said. “So a really cold day in Antarctica is the highest temperature we’ve known for a superconductor, until now,” he said.

“This is actually the first time that we have evidence of a superconductor in the cores of neutron stars”, that’s really cool.

A neutron star is so dense that a teaspoon of its matter would have a mass of about six billion tones. “Another way of putting it is that if you took all the humans, all seven billion of us or so on the planet, and squashed us down until we squished into the size of a sugar cube, that’s the density of a neutron star.”

Its amazing that this is the first time we’ve been able to figure aout something and its still amystery and brings in so many questions for applications that it boggles the mind. Just think about it, if we get to one day understand this we might have great discoveries  for power and we could depend less on Power reactors that produce so much toxic waste and fossil fuels.

References:

http://www.scienceforums.net/topic/55282-weird-physics-found-in-frictionless-fluid-inside-neutron-stars/

http://www.dispatch.com/live/content/local_news/stories/2011/02/23/Scientists_discover_bizarre_xsuper-fluidx_in_neutron_star.html

http://www.edmontonjournal.com/technology/Weird+physics+found+frictionless+fluid+inside+neutron+stars/4356331/story.html

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May 13th, 2011 at 9:43 pm

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Liquid Crystal

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Liquid crystal (LC) is a state of matter discovered in 1888 by Friedrich Reinitzer. He noticed that a cholesterol-based substance, when heated, had two melting points. First, the solid crystal changed into a cloudy liquid and then, this cloudy liquid turned into a transparent liquid. This state of matter shows properties between liquid and solid states. The molecules of LCs are arranged like the molecules of a solid crystal, but have fluidic properties like a liquid.

lc 1

LC shows many phases called mesophases. The two main LC mesophases are the nematic phase and smectic phase, each with its characteristic molecular arrangement. In the nematic phase, which behaves more like a liquid, the molecules are aligned in the same direction. The smectic phase is more like a solid and the molecules are arranged in the same direction, like the nematic phase, but also form planar layers of molecules that flow beside each other.  Other less common mesophases have been discovered, like the blue phases that show cubic spatial arrangements and the metallotropic LCs which have tetrahedral arrangements and form glasses.

Phase transition between a nematic (left) and smectic (right) phases.

Phase transition between a nematic (left) and smectic (right) phases.

One of the best-known uses of liquid crystal is on liquid crystal displays (LCDs) due to its optical properties. Also thermotropic (temperature sensitive) LCs are used as thermometers due to their color changing with temperature. Some common every day fluids, like soap, show LC properties.

References:

http://nobelprize.org/educational/physics/liquid_crystals/history/

http://plc.cwru.edu/tutorial/enhanced/files/lc/phase/phase.htm

http://en.wikipedia.org/wiki/Liquid_crystal

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May 13th, 2011 at 9:34 pm

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El Plasma en la Sangre

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La sangre es un fluido especializado que transporta sustancias necesarias y desperdicios de las células en los animales. En los vertebrados se compone de glóbulos rojos, glóbulos blancos y plaquetas suspendidos en un fluido coloidal llamado plasma sanguíneo. Este se compone de 90% agua, 7% proteínas y 3% entre grasa, glucosa, vitaminas, hormonas, oxigeno, gas carbónico, nitrógeno y desechos como el ácido úrico. Su apariencia es amarillo traslucido, composición arenosa y contiene una viscosidad 1.5 mayor que el agua. El plasma de la sangre es más viscoso que el agua debido a las múltiples sustancias que están disueltas en él.

La medida de la viscosidad del plasma fue introducida por Harkness en el 1971 y a través de estudios científicos se a demostrado que es superior a otros exámenes para el diagnóstico de ciertas enfermedades. Cuando la viscosidad en la sangre supera los valores determinados como normales, puede significar diferentes razones médicas usualmente relacionadas a la sobreproducción de proteínas en la sangre.  Para medir la viscosidad en el plasma se utiliza una técnica llamada viscometría de plasma, mejor conocida como PV (Plasma Viscometry). La medida de la viscosidad del plasma se utiliza en la detección y diagnóstico de una serie de trastornos. A diferencia de otras pruebas realizadas por síntomas no específicos, los resultados de viscosidad se pueden agrupar en espectros amplios, para dar una indicación de la condición subyacente, tal como se resume a continuación:

PV range (mPa.s.) at 25ºC PV range (mPa.s.) at 37ºC Comments
Normal Range 1.40-1.75 1.05 – 1.30
Low results < 1.40 < 1.05 Found in infants under 3 years old and patients with low immunoglobulin or fibrinogen levels.
High results 1.75 – 2.00 1.30 – 1.46 Chronic disorders e.g. infection, malignancy, vascular disease. Autoimmune such as rheumatic diseases.
Very high results 2.01 – 3.00 1.47 – 2.18 Suggestive of myeloma. IgG-paraproteins. High concentration of asymmetric paraproteins
Extremely high results >3.00 > 2.18 Suggestive of Waldenstrom’s macroglobulinaemia.
Grossly raised IgM-paraproteins.

A continuación una demostración grafica de las enfermedades que pueden ser diagnosticadas a través del PV;

PV Diagnostic Preference

Referencias:

http://www.bensonviscometers.com/What_is_PV.html

http://www.bensonviscometers.com/Images/Plas%20v%20ESR%20Path%20P%20May%2005.pdf

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May 13th, 2011 at 9:34 pm

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Fluid Mechanics and Homeland Security

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Fluid Mechanics and Homeland Security

How Homeland Security can be related to fluid mechanics? Homeland security involves many applications and development of fluid mechanics. As is said Homeland security is a counterterrorism agency that combines everything that is useful to defend the nation, one of the best options they got is to teach people fluid mechanics. It combines topics of fluid mechanics like plume dispersion, microfluidics, etc, to construct new technology to defend the nations families.

FEATURE-microfluidics-250_tcm18-69613

Microfluidics is branch of fluid mechanics that deals with the behavior, precise control and manipulation of fluids that are geometrically constrained to a small scale. It is being use to counterattack terrorists, for example in a biological war it will be useful to detect and identify chemical and biological threats spread in an area rapidly. This fascinating and unusual new technology that uses microfluidics is call microlabs (build on microchips). The beauty of the microlabs is that they analize simultaneously liquid samples and what it makes these microlabs special is that turbulence of the flow not affects them. The slip-boundary conditions on the wall of the microchannels still holds the fluid but the viscosity properties that dominate the flow are damped by thermal convection because the fluid is electrokinetically without any pressure drop in the process.

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References

Fluid Mechanics and Homeland Security by Gary S. Settles

http://library.uprm.edu:2266/doi/abs/10.1146/annurev.fluid.38.050304.092111?prevSearch=Fluid%2BMechanics%2Band%2BHomeland%2BSecurity&searchHistoryKey=

Video: http://www.youtube.com/watch?v=OsQ_q3wI1ak

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May 13th, 2011 at 9:26 pm

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inmersion y navegacion

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casco

Todos los barcos, así como los submarinos en superficie, están en situación de flotacion positiva, pesando menos que el volumen equivalente de agua desplazada de acuerdo con elprincipio de Arquimedes que afirma que todo cuerpo sumergido en un fluido experimenta una fuerza hacia arriba igual al peso del volumen de fluido desplazado por dicho cuerpo. Esto explica por qué flota un barco muy cargado; el peso del agua desplazada por el barco equivale a la fuerza hacia arriba que mantiene el barco a flote. El punto sobre el que puede considerarse que actúan todas las fuerzas que producen el efecto de flotación se llama centro de flotación, y corresponde al centro de gravedad del fluido desplazado. El centro de flotación de un cuerpo que flota está situado exactamente encima de su centro de gravedad. Cuanto mayor sea la distancia entre ambos, mayor es la estabilidad del cuerpo. Para sumergirse hidrostáticamente (sin ayuda mecánica), un buque debe ganar flotación neutral (peso igual a empuje), bien incrementando su propio peso o disminuyendo el desplazamiento de agua (volumen). Para controlar su peso, los submarinos están equipados con tanques de lastre, que pueden llenarse con agua tomada del exterior o aire a presión. Los submarinos poseen tanques de inmersión que le dan la estabilidad para poder emerger o emerger estos se colocan al lado de los cascos y le dan el peso necesario añadiendo agua para sumergirse o la salida de agua y aumento de aire para emerger. Para un control manual más rápido y preciso de la profundidad, los submarinos disponen de unos tanques de control de profundidad más pequeños, capaces de soportar presiones más altas. La cantidad de agua en estos tanques puede controlarse tanto para responder a cambios en las condiciones exteriores como para cambiar la profundidad de inmersión.

Los submarinos modernos tienen una forma ahusada (geometría que va de un diámetro grande en un extreme a un diámetro mas pequeño en el otro), este diseño o reduce el arrastre dinámico sobre el submarino y el ruido. Un submarino puede alcanzar una velocidad de 18 km/h.

El submarino tiene 2 cascos uno dentro de otro; el de afuera es hidrodinámico y confiere la figura necesaria para que pueda desplazarse con velocidad. El interior está construido para resistir la presión de agua al sumergirse. Este soporta la diferencia entre la presión del mar y la atmosférica normal del interior.

Los cascos de acero aleado permite alcanzar una profundidad entre 250-400 mucho menor que los cascos de titanio que pueden llegar a 1000 m de profundidad.

Hoy día se está utilizando como fuente de energía para los submarinos la energía nuclear con esta los submarinos puede estar sumergidos durante meses seguidos a diferencia de los de diesel que tienen que sumergirse periódicamente.

Referencias:

http://www.neoteo.com/como-funciona-un-submarino

http://www.mgar.net/mar/submarin.htm

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May 13th, 2011 at 9:25 pm

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Quantum Navier-Stokes equations and the Bose-Einstein Condensate (BEC)

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blog 4 pic 4

Computer Modeled Image of a BEC

A Bose-Einstein condensate (BEC) is a special state of matter that occurs as a result of the weak interactions of bosons that are confined to a specific external potential. This state is observed at temperatures very near absolute zero. In the Bose-Einstein condensate state, all the atoms occupy the same quantum state. As a result of the external potential to which they are confined, the majority of the bosons begin to occupy the lowest quantum state. This change produces effects that are observed on a macroscopic scale.  The Bose-Einstein condensate was first predicted by Satyendra Nath Bose and Albert Einstein in 1924. But it was not until 1995 that Eric A. Cornell and Carl E. Wieman produced the first gaseous condensate using a gas composed of rubidium atoms cooled to 170 nK (nanoKelvin). Cornell and Wieman won the Nobel Prize in Physics for their discovery. Months later, the state was also observed with sodium atoms using the same procedure and equipment. All of the results showed similar properties in the condesates.

The use of quantum mechanics to understand and predict the behavior of macroscopic systems has become very valuable. Since the discovery of the Bose-Einstein condensation, along with other superfluids, quantum fluid modeling has become a very attractive area of research. As a result, the Navier-Stokes equations for compressible quantum fluids were developed. These equations allow scientists to model hydrodynamic properties of superfluids in order to accurately predict their behavior. The following  equations have been formulated with the purpose of developing a Navier-Stokes analog of quantum mechanics:

The equations of motion:

blog 4 pic 1

whereblog 4 pic 5

The momentum-flux equation:

blog 4 pic 2

References:

http://ffden-2.phys.uaf.edu/212_fall2003.web.dir/rodney_guritz%20folder/becondensate.htm

http://www.asc.tuwien.ac.at/preprint/2010/asc22x2010.pdf

http://prola.aps.org/pdf/PR/v152/i4/p1115_1

http://www.wias-berlin.de/workshops/optotrans2011/Talks/OptoTrans11_Juengel.pdf

http://en.wikipedia.org/wiki/Bose%E2%80%93Einstein_condensate

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May 13th, 2011 at 9:22 pm

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