Viscous Heating

"N:dlzc D:aol T:com \(dlzc\)" wrote in news:UWx_h.297882
:

Dear John Schutkeker:

"John Schutkeker" wrote in
message
. 33.102...
"N:dlzc D:aol T:com \(dlzc\)" wrote in
news:Vea_h.233935
:

"John Schutkeker" wrote in
message
. 33.102...

But thanks for the red spot insight. These planets
aren't gas giants, but I don't know if that makes the
issue go away. I wonder if the presence of a surface
crust would be enough to suppress that.

If you are requiring an entirely fluid surface (???), then
you must have some vortex... if not two. One would
expect them at / near the poles. Unlike Jupiter.

The boundary condition between the mantle and crust
makes the vortex problem go away,

Actually, I think it does not. It would tend to "rotate" the
vortex "neutral axis" to be parallel to any differential rotation
between the core (if any) and the crust.

but if you'd still be willing to point my way to a page
that works the math for a free fluid surface, I'd be very
grateful. A man can never read too much math. ?

I have the text that brings this up at work ("5 Golden Rules").
I'll try and remember to post the necessary keywords to see if
you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go digging through your
library, to see if you can find it?

On May 17, 6:33 am, John Schutkeker
wrote:
....
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
.... it may not be explicit enough, however.

Be sure you saw this post too... since you were talking about
Enceladus.
http://groups.google.com/group/sci.a...0f3045b2986cda

David A. Smith

dlzc wrote in news:1179436108.546003.159130
@o5g2000hsb.googlegroups.com:

On May 17, 6:33 am, John Schutkeker
wrote:
...
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
... it may not be explicit enough, however.

You realize that you just posted a link to THIS THREAD!!

My copy just arrived in the mail, and it has five sections in it - Game
Theory, Topology, Catastrophe Theory, The Halting Theorem and The
Simplex Method. Perhaps you'd care to specify which section covers
planetary vortices on gas giants.

Dear John Schutkeker:

On May 18, 4:58 am, John Schutkeker
wrote:
wrote in news:1179436108.546003.159130
@o5g2000hsb.googlegroups.com:

On May 17, 6:33 am, John Schutkeker
wrote:
...
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
... it may not be explicit enough, however.

You realize that you just posted a link to THIS THREAD!!

Yes. I couldn't believe that I had to.

My copy just arrived in the mail, and it has five sections
in it - Game Theory,

Topology,
... in which Morse's theorem plays a star role.

Catastrophe Theory, The Halting Theorem and The
Simplex Method. Perhaps you'd care to specify which
section covers planetary vortices on gas giants.

Topology. If you have differential motion in a fluid on a closed
surface, you must have at least one vortex.

David A. Smith

dlzc wrote in news:1179500152.241628.260870
@l77g2000hsb.googlegroups.com:

Dear John Schutkeker:

On May 18, 4:58 am, John Schutkeker
wrote:
wrote in news:1179436108.546003.159130
@o5g2000hsb.googlegroups.com:

On May 17, 6:33 am, John Schutkeker jschutke...
@sbcglobal.net.nospam
wrote:
...
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
... it may not be explicit enough, however.

You realize that you just posted a link to THIS THREAD!!

Yes. I couldn't believe that I had to.

My copy just arrived in the mail, and it has five sections
in it - Game Theory,

Topology,
.. in which Morse's theorem plays a star role.

Catastrophe Theory, The Halting Theorem and The
Simplex Method. Perhaps you'd care to specify which
section covers planetary vortices on gas giants.

Topology. If you have differential motion in a fluid on a closed
surface, you must have at least one vortex.

There's nothing there. Check the book.

Dear John Schutkeker:

On May 18, 4:58 am, John Schutkeker
wrote:
wrote in news:1179436108.546003.159130
@o5g2000hsb.googlegroups.com:

On May 17, 6:33 am, John Schutkeker
wrote:
...
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
... it may not be explicit enough, however.

You realize that you just posted a link to THIS THREAD!!

My copy just arrived in the mail, and it has five sections in
it - Game Theory,

Minimax Theory

Topology,

Brouwer Fixed-Point Theory (So I was incorrect in spefiying this one).

Catastrophe Theory,

Morse's Theorem, as I specified. Section "Fluid Flow Between Two
Cylinders", with some "logical reference" back to "topology"

The Halting Theorem and The
Simplex Method. Perhaps you'd care to specify
which section covers planetary vortices on gas giants.

Differential rotation of two solid surfaces with a fluid trapped
between them.

David A. Smith

dlzc wrote in news:1179508377.257593.168080
@e65g2000hsc.googlegroups.com:

Dear John Schutkeker:

On May 18, 4:58 am, John Schutkeker
wrote:
wrote in news:1179436108.546003.159130
@o5g2000hsb.googlegroups.com:

On May 17, 6:33 am, John Schutkeker jschutke...
@sbcglobal.net.nospam
wrote:
...
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
... it may not be explicit enough, however.

You realize that you just posted a link to THIS THREAD!!

My copy just arrived in the mail, and it has five sections in
it - Game Theory,

Minimax Theory

Topology,

Brouwer Fixed-Point Theory (So I was incorrect in spefiying this one).

Catastrophe Theory,

Morse's Theorem, as I specified. Section "Fluid Flow Between Two
Cylinders", with some "logical reference" back to "topology"

Those subsections are Crumpling Paper, Taylor's Tayl, Tugging Taylor's
Tayl, Look Alikes, Morse's Theorem, Thom's Theorem, Bridges & Beams,
Bifurcations Catastrophes & Equilibria, How Local Is Local, Shape of
Things, Laughs & Cries

Perhaps you'd care to specify which section covers planetary vortices on
gas giants.

Dear John Schutkeker:

"John Schutkeker" wrote in
message
. 33.102...
dlzc wrote in news:1179508377.257593.168080
@e65g2000hsc.googlegroups.com:

Dear John Schutkeker:

On May 18, 4:58 am, John Schutkeker

wrote:
wrote in news:1179436108.546003.159130
@o5g2000hsb.googlegroups.com:

On May 17, 6:33 am, John Schutkeker jschutke...
@sbcglobal.net.nospam
wrote:
...
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
... it may not be explicit enough, however.

You realize that you just posted a link to THIS THREAD!!

My copy just arrived in the mail, and it has five sections in
it - Game Theory,

Minimax Theory

Topology,

Brouwer Fixed-Point Theory (So I was incorrect in spefiying
this one).

Catastrophe Theory,

Morse's Theorem, as I specified. Section "Fluid Flow
Between Two Cylinders", with some "logical reference" back
to "topology"

Those subsections are Crumpling Paper, Taylor's Tayl, Tugging
Taylor's Tayl, Look Alikes, Morse's Theorem, Thom's Theorem,
Bridges & Beams, Bifurcations Catastrophes & Equilibria,
How Local Is Local, Shape of Things, Laughs & Cries

Perhaps you'd care to specify which section covers planetary
vortices on gas giants.

I assumed you knew to look at the section I named, "Fluid Flow
Between Two Cylinders", in Morse's Throem section, could read
between the lines, and could confirm or deny what I thought I saw
there. I guess you are denying. If you think it talks about gas
giants, it doesn't. My fluid mechanics books don't talk about
flowing oxygen gas in an annulus between two electrodes, with
corona being made in it... but they expect us to "adapt and
overcome".

Sorry to have made you waste $8 plus shipping.

David A. Smith

"N:dlzc D:aol T:com \(dlzc\)" wrote in news:fhF3i.253377
:

Dear John Schutkeker:

"John Schutkeker" wrote in
message
. 33.102...
dlzc wrote in news:1179508377.257593.168080
@e65g2000hsc.googlegroups.com:

Dear John Schutkeker:

On May 18, 4:58 am, John Schutkeker

wrote:
wrote in news:1179436108.546003.159130
@o5g2000hsb.googlegroups.com:

On May 17, 6:33 am, John Schutkeker jschutke...
@sbcglobal.net.nospam
wrote:
...
I have the text that brings this up at work ("5 Golden
Rules"). I'll try and remember to post the necessary
keywords to see if you agree with my take on it.

It's not in "5 Golden Rules." Would you care to go
digging through your library, to see if you can find it?

It *is* in "5 Golden Rules":
http://groups.google.com/group/sci.p...991988e68b5d7a
... it may not be explicit enough, however.

You realize that you just posted a link to THIS THREAD!!

My copy just arrived in the mail, and it has five sections in
it - Game Theory,

Minimax Theory

Topology,

Brouwer Fixed-Point Theory (So I was incorrect in spefiying
this one).

Catastrophe Theory,

Morse's Theorem, as I specified. Section "Fluid Flow
Between Two Cylinders", with some "logical reference" back
to "topology"

Those subsections are Crumpling Paper, Taylor's Tayl, Tugging
Taylor's Tayl, Look Alikes, Morse's Theorem, Thom's Theorem,
Bridges & Beams, Bifurcations Catastrophes & Equilibria,
How Local Is Local, Shape of Things, Laughs & Cries

Perhaps you'd care to specify which section covers planetary
vortices on gas giants.

I assumed you knew to look at the section I named, "Fluid Flow
Between Two Cylinders", in Morse's Throem section, could read
between the lines, and could confirm or deny what I thought I saw
there. I guess you are denying. If you think it talks about gas
giants, it doesn't. My fluid mechanics books don't talk about
flowing oxygen gas in an annulus between two electrodes, with
corona being made in it... but they expect us to "adapt and
overcome".

Sorry to have made you waste $8 plus shipping.

I see it now, although, for some reason, it's not listed in the Table of
Contents.