In chemistry, the volume fractionφi is defined as the volume of a constituent Vi divided by the volume of all constituents of the mixture V prior to mixing:
Being dimensionless, its unit is 1; it is expressed as a number, e.g., 0.18. It is the same concept as volume percent (vol%) except that the latter is expressed with a denominator of 100, e.g., 18%.
The volume fraction coincides with the volume concentration in ideal solutions where the volumes of the constituents are additive (the volume of the solution is equal to the sum of the volumes of its ingredients).
The sum of all volume fractions of a mixture is equal to 1:
The volume fraction (percentage by volume, vol%) is one way of expressing the composition of a mixture with a dimensionless quantity; mass fraction (percentage by weight, wt%) and mole fraction (percentage by moles, mol%) are others.
A vol (French for "flight") is a once-obscure heraldic symbol consisting of a pair of outstretched, usually plumed bird's wings, which are connected together at their shoulders without having any bird's body in the middle.
The French Armée de l'Air, one of the world's first air forces, adopted a vol for its cap badge, rather than the eagle used by many other air forces. In France, the eagle is associated with the Napoleonic empire.
Cap badges
Many European countries have an eagle as the main charge of the heraldic shields of their respective monarchies: Germany, Austria-Hungary, and pre-revolutionary Russia all used some derivative of this bird in their badge. Poland did too, and even kept its badge under Communist rule, because Poland did not have a king since the partition of Poland late in the eighteenth century, so the symbol was merely nominal. In America, the cap badge of the US Air Force is the Great Seal of the United States, which also includes an eagle. But its use for the US Air Force derives from that service's derivation from the US Army, which also had the same badge.
Vol. 4 is the fourth studio album by English heavy metal band Black Sabbath, released in September 1972. It was the first album by Black Sabbath not produced by Rodger Bain; guitarist Tony Iommi assumed production duties. Patrick Meehan, the band's then-manager, was listed as co-producer, though his actual involvement in the album's production was minimal at best.
Recording
In June 1972, Black Sabbath reconvened in Los Angeles to begin work on their fourth album at the Record Plant Studios. The recording process was plagued with problems, many due to substance abuse issues. In the studio, the band regularly had large speaker boxes full of cocaine delivered. While struggling to record the song "Cornucopia" after "sitting in the middle of the room, just doing drugs",Bill Ward feared that he was about to be fired from the band. "I hated the song, there were some patterns that were just horrible", Ward said. "I nailed it in the end, but the reaction I got was the cold shoulder from everybody. It was like 'Well, just go home, you're not being of any use right now.' I felt like I'd blown it, I was about to get fired". According to the book How Black Was Our Sabbath, Bill Ward "was always a drinker, but rarely appeared drunk. Retrospectively, that might have been a danger sign. Now, his self-control was clearly slipping." Iommi claims in his autobiography that Ward almost died after a prank-gone-wrong during recording of the album. The Bel Air mansion the band was renting belonged to John DuPont of the DuPont chemical company and the band found several spray cans of gold DuPont paint in a room of the house; finding Ward naked and unconscious after drinking heavily, they proceeded to cover the drummer in gold paint from head to toe.
Lullacry was a melodic band with gothic metal influences that hailed from Helsinki, Finland. The band recorded their first demo (named Weeper's Aeon) in 1998 and in a short time they had enough of a following to safely attempt a full-length album – Sweet Desire – recorded in 1999. This got the attention of Spinefarm Records and led to a professional contract. Their career truly began progressing after the release of the album Be My God – from 2001 – which was issued as they went on a joint tour with the power metal band Edguy.
However, vocalist Tanya Kemppainen quit the band in 2002, leaving Lullacry without its main element. Many female singers applied for the post, but the then unknown contralto vocalist Tanja Lainio was ultimately chosen as the replacement vocalist. Their following release was entitled Crucify My Heart. The single Don't Touch the Flame taken from this album included a cover of the Nine Inch Nails track Head Like a Hole.
Prior to the recording of their fourth album, the EPFire Within was released including alternative versions of two of the band's classic tracks, a W.A.S.P. cover "L.O.V.E. Machine", and two new tracks.
Volume Of Rectangular Prisms - Multiplying Mixed Numbers
Review how to multiply mixed numbers by finding the volume of rectangular prisms.
published: 14 Feb 2014
volume fraction
published: 10 Nov 2015
Volume with Fractions
published: 15 May 2020
Volume Fraction and Particle Size Part 1
published: 06 May 2019
Quality of Steam: Mass and Volume Fractions
Organized by textbook: https://learncheme.com/ Demonstrates the difference between mass and volume fractions, as a function of quality, for vapor-liquid equilibrium of water. Made by faculty at the University of Colorado Boulder Department of Chemical and Biological Engineering. Excel spreadsheet steam tables: https://learncheme.com/wp-content/uploads/2023/12/Steam_Tables_1.23.xlsx
Check out our Thermodynamics playlists: https://www.youtube.com/user/LearnChemE/playlists?shelf_id=11&view=50&sort=dd
Check out our Material & Energy Balances playlists: https://www.youtube.com/user/LearnChemE/playlists?view=50&flow=list&shelf_id=8
Check out our website for interactive simulations: http://www.learncheme.com/simulations
published: 20 May 2015
Volume Fraction and Particle Size Part 2
published: 06 May 2019
[CFD] Eulerian Multi-Phase Modelling
[CFD] Eulerian Multi-Phase Modelling
An introduction to Eulerian multi-phase modelling in CFD. Eulerian multi-phase modelling is available in most mainstream CFD codes (OpenFOAM, Fluent, CFX, Star etc). The following topics are covered in the video:
1) 0:37 What are dispersed-continuous and continuous-continuous phase interactions?
2) 5:02 What are the Eulerian multi-phase model equations?
3) 12:29 What is inter-phase drag and how is it accounted for?
#multiphaseflow #eulerianmultiphase #cfd
============================================
Some Useful References:
============================================
1) ANSYS Fluent Theory Guide
16.5.3 Conservation Equations
http://www.afs.enea.it/project/neptunius/docs/fluent/html/th/node322.htm
2) ANSYS CFX Theory Guide
5.5.2 Interphase D...
published: 30 May 2019
MINDBOURNE MATHS EXAM FOCUS EXER GR12 QUES 26
MINDBOURNE produce and publish Maths textbooks - grades 6-12 plus AP Maths. These are all linked to our online video lessons portal. Used in combination with our textbooks definitely a win win!. Achieve those results the very best way you can. TURNING LEARNERS INTO LEADERS.
www.mindbourne.com
info@mindbourne.com
published: 18 Oct 2024
Volume of a rectangular prism: fractional dimensions | Geometry | 6th grade | Khan Academy
Think of a rectangular prism as a 3 dimensional rectangle. To find the volume of a rectangular prism let's start by finding the volume of a rectangle, and go from there. What do you think we do next??
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-...
Organized by textbook: https://learncheme.com/ Demonstrates the difference between mass and volume fractions, as a function of quality, for vapor-liquid equili...
Organized by textbook: https://learncheme.com/ Demonstrates the difference between mass and volume fractions, as a function of quality, for vapor-liquid equilibrium of water. Made by faculty at the University of Colorado Boulder Department of Chemical and Biological Engineering. Excel spreadsheet steam tables: https://learncheme.com/wp-content/uploads/2023/12/Steam_Tables_1.23.xlsx
Check out our Thermodynamics playlists: https://www.youtube.com/user/LearnChemE/playlists?shelf_id=11&view=50&sort=dd
Check out our Material & Energy Balances playlists: https://www.youtube.com/user/LearnChemE/playlists?view=50&flow=list&shelf_id=8
Check out our website for interactive simulations: http://www.learncheme.com/simulations
Organized by textbook: https://learncheme.com/ Demonstrates the difference between mass and volume fractions, as a function of quality, for vapor-liquid equilibrium of water. Made by faculty at the University of Colorado Boulder Department of Chemical and Biological Engineering. Excel spreadsheet steam tables: https://learncheme.com/wp-content/uploads/2023/12/Steam_Tables_1.23.xlsx
Check out our Thermodynamics playlists: https://www.youtube.com/user/LearnChemE/playlists?shelf_id=11&view=50&sort=dd
Check out our Material & Energy Balances playlists: https://www.youtube.com/user/LearnChemE/playlists?view=50&flow=list&shelf_id=8
Check out our website for interactive simulations: http://www.learncheme.com/simulations
[CFD] Eulerian Multi-Phase Modelling
An introduction to Eulerian multi-phase modelling in CFD. Eulerian multi-phase modelling is available in most mainstream C...
[CFD] Eulerian Multi-Phase Modelling
An introduction to Eulerian multi-phase modelling in CFD. Eulerian multi-phase modelling is available in most mainstream CFD codes (OpenFOAM, Fluent, CFX, Star etc). The following topics are covered in the video:
1) 0:37 What are dispersed-continuous and continuous-continuous phase interactions?
2) 5:02 What are the Eulerian multi-phase model equations?
3) 12:29 What is inter-phase drag and how is it accounted for?
#multiphaseflow #eulerianmultiphase #cfd
============================================
Some Useful References:
============================================
1) ANSYS Fluent Theory Guide
16.5.3 Conservation Equations
http://www.afs.enea.it/project/neptunius/docs/fluent/html/th/node322.htm
2) ANSYS CFX Theory Guide
5.5.2 Interphase Drag for Particle Model
https://www.sharcnet.ca/Software/Ansys/17.0/en-us/help/cfx_thry/i1304903.html
============================================
Want to learn more?
============================================
Grab a copy of my CFD Fundamentals Course (for beginners):
https://www.udemy.com/course/computational-fluid-dynamics-fundamentals-course/?referralCode=F9CF2DFFCA224E93834E
Learn how to write your own CFD code in MATLAB and python (for intermediates):
https://dr-aidan-wimshurst-s-school.teachable.com/p/the-simple-algorithm
Learn how I draw my figures and diagrams in Inkscape (for everyone):
https://dr-aidan-wimshurst-s-school.teachable.com/p/inkscape-for-scientists-and-engineers
============================================
Did you like the video?
============================================
Download the lecture slides from my website:
https://www.fluidmechanics101.com/pages/lectures.html
Buy me a coffee to say thanks:
https://www.buymeacoffee.com/NKEZrhvg0
Support the channel on Patreon (and get useful extras for your CFD studies):
https://www.patreon.com/fluidmechanics101
============================================
Donations:
============================================
1) PayPal
https://www.paypal.me/fluidmechanics101
==================================
Disclaimer
==================================
The methods, algorithms, equations, formulae, diagrams and explanations in this talk are for educational and demonstrative purposes only. They should never be used to analyse, design, accredit or validate real scientific / engineering / mathematical structures and flow systems. For such applications, appropriate trained, qualified and accredited (SQEP) engineers / scientists should be consulted along with the appropriate documentation, procedures and engineering standards. Furthermore, the information contained within this talk has not been verified, peer reviewed or checked in any way and is likely to contain several errors. It is therefore not appropriate to use this talk itself (or any of the algorithms, equations, formulae, diagrams and explanations contained within this talk) as an academic or technical reference. The reader should consult the original references and follow the verification and validation processes adopted by your company / institution when carrying out engineering calculations and analyses. Fluid Mechanics 101 and Dr. Aidan Wimshurst are not accountable or liable in any form for the use or misuse of the information contained in this talk beyond the specific educational and demonstrative purposes for which it was intended.
[CFD] Eulerian Multi-Phase Modelling
An introduction to Eulerian multi-phase modelling in CFD. Eulerian multi-phase modelling is available in most mainstream CFD codes (OpenFOAM, Fluent, CFX, Star etc). The following topics are covered in the video:
1) 0:37 What are dispersed-continuous and continuous-continuous phase interactions?
2) 5:02 What are the Eulerian multi-phase model equations?
3) 12:29 What is inter-phase drag and how is it accounted for?
#multiphaseflow #eulerianmultiphase #cfd
============================================
Some Useful References:
============================================
1) ANSYS Fluent Theory Guide
16.5.3 Conservation Equations
http://www.afs.enea.it/project/neptunius/docs/fluent/html/th/node322.htm
2) ANSYS CFX Theory Guide
5.5.2 Interphase Drag for Particle Model
https://www.sharcnet.ca/Software/Ansys/17.0/en-us/help/cfx_thry/i1304903.html
============================================
Want to learn more?
============================================
Grab a copy of my CFD Fundamentals Course (for beginners):
https://www.udemy.com/course/computational-fluid-dynamics-fundamentals-course/?referralCode=F9CF2DFFCA224E93834E
Learn how to write your own CFD code in MATLAB and python (for intermediates):
https://dr-aidan-wimshurst-s-school.teachable.com/p/the-simple-algorithm
Learn how I draw my figures and diagrams in Inkscape (for everyone):
https://dr-aidan-wimshurst-s-school.teachable.com/p/inkscape-for-scientists-and-engineers
============================================
Did you like the video?
============================================
Download the lecture slides from my website:
https://www.fluidmechanics101.com/pages/lectures.html
Buy me a coffee to say thanks:
https://www.buymeacoffee.com/NKEZrhvg0
Support the channel on Patreon (and get useful extras for your CFD studies):
https://www.patreon.com/fluidmechanics101
============================================
Donations:
============================================
1) PayPal
https://www.paypal.me/fluidmechanics101
==================================
Disclaimer
==================================
The methods, algorithms, equations, formulae, diagrams and explanations in this talk are for educational and demonstrative purposes only. They should never be used to analyse, design, accredit or validate real scientific / engineering / mathematical structures and flow systems. For such applications, appropriate trained, qualified and accredited (SQEP) engineers / scientists should be consulted along with the appropriate documentation, procedures and engineering standards. Furthermore, the information contained within this talk has not been verified, peer reviewed or checked in any way and is likely to contain several errors. It is therefore not appropriate to use this talk itself (or any of the algorithms, equations, formulae, diagrams and explanations contained within this talk) as an academic or technical reference. The reader should consult the original references and follow the verification and validation processes adopted by your company / institution when carrying out engineering calculations and analyses. Fluid Mechanics 101 and Dr. Aidan Wimshurst are not accountable or liable in any form for the use or misuse of the information contained in this talk beyond the specific educational and demonstrative purposes for which it was intended.
MINDBOURNE produce and publish Maths textbooks - grades 6-12 plus AP Maths. These are all linked to our online video lessons portal. Used in combination with ou...
MINDBOURNE produce and publish Maths textbooks - grades 6-12 plus AP Maths. These are all linked to our online video lessons portal. Used in combination with our textbooks definitely a win win!. Achieve those results the very best way you can. TURNING LEARNERS INTO LEADERS.
www.mindbourne.com
info@mindbourne.com
MINDBOURNE produce and publish Maths textbooks - grades 6-12 plus AP Maths. These are all linked to our online video lessons portal. Used in combination with our textbooks definitely a win win!. Achieve those results the very best way you can. TURNING LEARNERS INTO LEADERS.
www.mindbourne.com
info@mindbourne.com
Think of a rectangular prism as a 3 dimensional rectangle. To find the volume of a rectangular prism let's start by finding the volume of a rectangle, and go fr...
Think of a rectangular prism as a 3 dimensional rectangle. To find the volume of a rectangular prism let's start by finding the volume of a rectangle, and go from there. What do you think we do next??
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-breaking-up-shape?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÂês 6th grade channel:
https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Think of a rectangular prism as a 3 dimensional rectangle. To find the volume of a rectangular prism let's start by finding the volume of a rectangle, and go from there. What do you think we do next??
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-breaking-up-shape?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÂês 6th grade channel:
https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Organized by textbook: https://learncheme.com/ Demonstrates the difference between mass and volume fractions, as a function of quality, for vapor-liquid equilibrium of water. Made by faculty at the University of Colorado Boulder Department of Chemical and Biological Engineering. Excel spreadsheet steam tables: https://learncheme.com/wp-content/uploads/2023/12/Steam_Tables_1.23.xlsx
Check out our Thermodynamics playlists: https://www.youtube.com/user/LearnChemE/playlists?shelf_id=11&view=50&sort=dd
Check out our Material & Energy Balances playlists: https://www.youtube.com/user/LearnChemE/playlists?view=50&flow=list&shelf_id=8
Check out our website for interactive simulations: http://www.learncheme.com/simulations
[CFD] Eulerian Multi-Phase Modelling
An introduction to Eulerian multi-phase modelling in CFD. Eulerian multi-phase modelling is available in most mainstream CFD codes (OpenFOAM, Fluent, CFX, Star etc). The following topics are covered in the video:
1) 0:37 What are dispersed-continuous and continuous-continuous phase interactions?
2) 5:02 What are the Eulerian multi-phase model equations?
3) 12:29 What is inter-phase drag and how is it accounted for?
#multiphaseflow #eulerianmultiphase #cfd
============================================
Some Useful References:
============================================
1) ANSYS Fluent Theory Guide
16.5.3 Conservation Equations
http://www.afs.enea.it/project/neptunius/docs/fluent/html/th/node322.htm
2) ANSYS CFX Theory Guide
5.5.2 Interphase Drag for Particle Model
https://www.sharcnet.ca/Software/Ansys/17.0/en-us/help/cfx_thry/i1304903.html
============================================
Want to learn more?
============================================
Grab a copy of my CFD Fundamentals Course (for beginners):
https://www.udemy.com/course/computational-fluid-dynamics-fundamentals-course/?referralCode=F9CF2DFFCA224E93834E
Learn how to write your own CFD code in MATLAB and python (for intermediates):
https://dr-aidan-wimshurst-s-school.teachable.com/p/the-simple-algorithm
Learn how I draw my figures and diagrams in Inkscape (for everyone):
https://dr-aidan-wimshurst-s-school.teachable.com/p/inkscape-for-scientists-and-engineers
============================================
Did you like the video?
============================================
Download the lecture slides from my website:
https://www.fluidmechanics101.com/pages/lectures.html
Buy me a coffee to say thanks:
https://www.buymeacoffee.com/NKEZrhvg0
Support the channel on Patreon (and get useful extras for your CFD studies):
https://www.patreon.com/fluidmechanics101
============================================
Donations:
============================================
1) PayPal
https://www.paypal.me/fluidmechanics101
==================================
Disclaimer
==================================
The methods, algorithms, equations, formulae, diagrams and explanations in this talk are for educational and demonstrative purposes only. They should never be used to analyse, design, accredit or validate real scientific / engineering / mathematical structures and flow systems. For such applications, appropriate trained, qualified and accredited (SQEP) engineers / scientists should be consulted along with the appropriate documentation, procedures and engineering standards. Furthermore, the information contained within this talk has not been verified, peer reviewed or checked in any way and is likely to contain several errors. It is therefore not appropriate to use this talk itself (or any of the algorithms, equations, formulae, diagrams and explanations contained within this talk) as an academic or technical reference. The reader should consult the original references and follow the verification and validation processes adopted by your company / institution when carrying out engineering calculations and analyses. Fluid Mechanics 101 and Dr. Aidan Wimshurst are not accountable or liable in any form for the use or misuse of the information contained in this talk beyond the specific educational and demonstrative purposes for which it was intended.
MINDBOURNE produce and publish Maths textbooks - grades 6-12 plus AP Maths. These are all linked to our online video lessons portal. Used in combination with our textbooks definitely a win win!. Achieve those results the very best way you can. TURNING LEARNERS INTO LEADERS.
www.mindbourne.com
info@mindbourne.com
Think of a rectangular prism as a 3 dimensional rectangle. To find the volume of a rectangular prism let's start by finding the volume of a rectangle, and go from there. What do you think we do next??
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-breaking-up-shape?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÂês 6th grade channel:
https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Organized by textbook: https://learncheme.com/ Demonstrates the difference between mass and volume fractions, as a function of quality, for vapor-liquid equilibrium of water. Made by faculty at the University of Colorado Boulder Department of Chemical and Biological Engineering. Excel spreadsheet steam tables: https://learncheme.com/wp-content/uploads/2023/12/Steam_Tables_1.23.xlsx
Check out our Thermodynamics playlists: https://www.youtube.com/user/LearnChemE/playlists?shelf_id=11&view=50&sort=dd
Check out our Material & Energy Balances playlists: https://www.youtube.com/user/LearnChemE/playlists?view=50&flow=list&shelf_id=8
Check out our website for interactive simulations: http://www.learncheme.com/simulations
[CFD] Eulerian Multi-Phase Modelling
An introduction to Eulerian multi-phase modelling in CFD. Eulerian multi-phase modelling is available in most mainstream CFD codes (OpenFOAM, Fluent, CFX, Star etc). The following topics are covered in the video:
1) 0:37 What are dispersed-continuous and continuous-continuous phase interactions?
2) 5:02 What are the Eulerian multi-phase model equations?
3) 12:29 What is inter-phase drag and how is it accounted for?
#multiphaseflow #eulerianmultiphase #cfd
============================================
Some Useful References:
============================================
1) ANSYS Fluent Theory Guide
16.5.3 Conservation Equations
http://www.afs.enea.it/project/neptunius/docs/fluent/html/th/node322.htm
2) ANSYS CFX Theory Guide
5.5.2 Interphase Drag for Particle Model
https://www.sharcnet.ca/Software/Ansys/17.0/en-us/help/cfx_thry/i1304903.html
============================================
Want to learn more?
============================================
Grab a copy of my CFD Fundamentals Course (for beginners):
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The methods, algorithms, equations, formulae, diagrams and explanations in this talk are for educational and demonstrative purposes only. They should never be used to analyse, design, accredit or validate real scientific / engineering / mathematical structures and flow systems. For such applications, appropriate trained, qualified and accredited (SQEP) engineers / scientists should be consulted along with the appropriate documentation, procedures and engineering standards. Furthermore, the information contained within this talk has not been verified, peer reviewed or checked in any way and is likely to contain several errors. It is therefore not appropriate to use this talk itself (or any of the algorithms, equations, formulae, diagrams and explanations contained within this talk) as an academic or technical reference. The reader should consult the original references and follow the verification and validation processes adopted by your company / institution when carrying out engineering calculations and analyses. Fluid Mechanics 101 and Dr. Aidan Wimshurst are not accountable or liable in any form for the use or misuse of the information contained in this talk beyond the specific educational and demonstrative purposes for which it was intended.
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Think of a rectangular prism as a 3 dimensional rectangle. To find the volume of a rectangular prism let's start by finding the volume of a rectangle, and go from there. What do you think we do next??
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Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
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In chemistry, the volume fractionφi is defined as the volume of a constituent Vi divided by the volume of all constituents of the mixture V prior to mixing:
Being dimensionless, its unit is 1; it is expressed as a number, e.g., 0.18. It is the same concept as volume percent (vol%) except that the latter is expressed with a denominator of 100, e.g., 18%.
The volume fraction coincides with the volume concentration in ideal solutions where the volumes of the constituents are additive (the volume of the solution is equal to the sum of the volumes of its ingredients).
The sum of all volume fractions of a mixture is equal to 1:
The volume fraction (percentage by volume, vol%) is one way of expressing the composition of a mixture with a dimensionless quantity; mass fraction (percentage by weight, wt%) and mole fraction (percentage by moles, mol%) are others.