| Topic: |
Science > Physics |
| User: |
"Roberto Arguelles" |
| Date: |
17 Oct 2003 09:25:45 AM |
| Object: |
Stokes Drag Formula |
I am stuck trying to derive the Stokes Drag Formula F=6*pi*mu*r*U for
my thesis research, I have found many references where the authors
derive the formula but not in full, I mean in full, they jump a lot of
algebra an there is where I am stuck, at least if anyone help me with
the vector algebra of obtaining -curlx(curl v), that's to say the
vector laplacian in spherical coordinates.
Thanks
Roberto Arguelles
Universidad del Mar
Bahias de Huatulco, Oaxaca
Mexico
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| User: "Timo Nieminen" |
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| Title: Re: Stokes Drag Formula |
17 Oct 2003 05:57:37 PM |
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On Sat, 17 Oct 2003, Roberto Arguelles wrote:
I am stuck trying to derive the Stokes Drag Formula F=6*pi*mu*r*U for
my thesis research, I have found many references where the authors
derive the formula but not in full, I mean in full, they jump a lot of
algebra an there is where I am stuck, at least if anyone help me with
the vector algebra of obtaining -curlx(curl v), that's to say the
vector laplacian in spherical coordinates.
Where have you looked? Happel & Brenner "Low Reynolds number
hydrodynamics" would be the sensible place to look first. Or Lamb. Or
Landau & Lifshitz, which spends many pages on it. If you can find it,
Constantinescu "Laminar viscous flow" might be worth checking as well.
--
Timo Nieminen - Home page: http://www.physics.uq.edu.au/people/nieminen/
Shrine to Spirits: http://www.users.bigpond.com/timo_nieminen/spirits.html
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| User: "Roberto Arguelles" |
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| Title: Uncle Al Stokes Drag Formula |
28 Oct 2003 08:40:21 AM |
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Timo Nieminen <timo@physics.uq.edu.au> wrote in message news:<Pine.LNX.4.50.0310180853460.25577-100000@kolmogorov.physics.uq.edu.au>...
On Sat, 17 Oct 2003, Roberto Arguelles wrote:
I am stuck trying to derive the Stokes Drag Formula F=6*pi*mu*r*U for
my thesis research, I have found many references where the authors
derive the formula but not in full, I mean in full, they jump a lot of
algebra an there is where I am stuck, at least if anyone help me with
the vector algebra of obtaining -curlx(curl v), that's to say the
vector laplacian in spherical coordinates.
Where have you looked? Happel & Brenner "Low Reynolds number
hydrodynamics" would be the sensible place to look first. Or Lamb. Or
Landau & Lifshitz, which spends many pages on it. If you can find it,
Constantinescu "Laminar viscous flow" might be worth checking as well.
Uncle Al please tell me where I can find in the net the George Stokes
original paper..
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| User: "Andrew Resnick" |
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| Title: Re: Uncle Al Stokes Drag Formula |
28 Oct 2003 09:46:20 AM |
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In <5370e6ac.0310280640.7b836dd5@posting.google.com> Roberto Arguelles
wrote:
Uncle Al please tell me where I can find in the net the George Stokes
original paper..
It's in the Transactions of the Cambridge Philosophical Society, 1845. I
doubt very much if it's online. There's this building with lots of
books in it? Called a library? And these people that work there?
Librarians? If you ask nicely, they can sometimes help you. Like, order
the article?
--
Andrew Resnick, Ph. D.
National Center for Microgravity Research
NASA Glenn Research Center
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| User: "Uncle Al" |
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| Title: Re: Uncle Al Stokes Drag Formula |
28 Oct 2003 11:21:10 AM |
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Roberto Arguelles wrote:
Timo Nieminen <timo@physics.uq.edu.au> wrote in message news:<Pine.LNX.4.50.0310180853460.25577-100000@kolmogorov.physics.uq.edu.au>...
On Sat, 17 Oct 2003, Roberto Arguelles wrote:
I am stuck trying to derive the Stokes Drag Formula F=6*pi*mu*r*U for
my thesis research, I have found many references where the authors
derive the formula but not in full, I mean in full, they jump a lot of
algebra an there is where I am stuck, at least if anyone help me with
the vector algebra of obtaining -curlx(curl v), that's to say the
vector laplacian in spherical coordinates.
Where have you looked? Happel & Brenner "Low Reynolds number
hydrodynamics" would be the sensible place to look first. Or Lamb. Or
Landau & Lifshitz, which spends many pages on it. If you can find it,
Constantinescu "Laminar viscous flow" might be worth checking as well.
Uncle Al please tell me where I can find in the net the George Stokes
original paper..
University library - as referenced in my post - or from the publisher.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
"Quis custodiet ipsos custodes?" The Net!
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| User: "Uncle Al" |
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| Title: Re: Stokes Drag Formula |
17 Oct 2003 11:21:28 AM |
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Roberto Arguelles wrote:
I am stuck trying to derive the Stokes Drag Formula F=6*pi*mu*r*U for
my thesis research, I have found many references where the authors
derive the formula but not in full, I mean in full, they jump a lot of
algebra an there is where I am stuck, at least if anyone help me with
the vector algebra of obtaining -curlx(curl v), that's to say the
vector laplacian in spherical coordinates.
Isn't that the point of a thesis? If you cannot find the literature
derivation and you cannot derive it yourself, then either you do not
use the equation or your Committee will not sign off your thesis.
Hint: Look up Stokes' original publication of the equation and its
derivation. Uncle Al, sitting on his *****, found George Stokes' 1851
paper adn several derivations of your equation. Surely you - with the
full resources of a university behind you - can do the same as an
Irishman did off the top of his head 150 years ago.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
"Quis custodiet ipsos custodes?" The Net!
.
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