| Topic: |
Science > Physics |
| User: |
"" |
| Date: |
31 Oct 2006 02:34:13 PM |
| Object: |
Dolphins, drag coefficients and physics |
For the next version of my free physics text,
I am looking for the drag coefficient of dolphins
and the drag coefficient of the ideal tear shape.
Does anybody know a reference with measured
values of both quantities?
(I need the drag coefficient calculated
with the cross section, not the surface drag.
Numbers for the ideal value I found so far
vary between 0.0168 and 0.05)
Thank you in advance for any help!
Christoph Schiller
P.S. The free 1300 page physics textbook is
downloadable at http://www.motionmountain.net .
It is guaranteed to be interesting on every page.
.
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| User: "Andy Resnick" |
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| Title: Re: Dolphins, drag coefficients and physics |
01 Nov 2006 08:02:09 AM |
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wrote:
For the next version of my free physics text,
I am looking for the drag coefficient of dolphins
and the drag coefficient of the ideal tear shape.
Does anybody know a reference with measured
values of both quantities?
(I need the drag coefficient calculated
with the cross section, not the surface drag.
Numbers for the ideal value I found so far
vary between 0.0168 and 0.05)
Here's a few relevant references:
Romanenko EV. Swimming of dolphins: experiments and modelling.
Symp Soc Exp Biol. 1995;49:21-33.
Videler JJ. Body surface adaptations to boundary-layer dynamics.
Symp Soc Exp Biol. 1995;49:1-20
Anderson EJ, McGillis WR, Grosenbaugh MA. The boundary layer of swimming
fish. J Exp Biol. 2001 Jan;204(Pt 1):81-102.
The last one has a lot of data and I was able to access it
electronically- I can email it to you if needed. They give a drag
coefficient of about 0.01, but there's a lot of detail I skipped over.
Also try Lighthill's classic "Mathematical Biofluiddynamics" text.
For the second question, I assume you are asking for the (solid body)
cross section that produces the lowest drag coefficient? If so, that's
all over the place:
Glowinski, R. and Pironneau, O. On the numerical computation of
minimum-drag profile in laminar flow. J. Fluid Mech., 1975, 72,
385–389 Part 2.
Pironneau, O. On optimum profiles in stokes flow. J. Fluid Mechanics,
1973, 59, 117–128 Part 1.
Huan, J.C. and Modi, V. Design of minimum drag bodies in
incompressible laminar flow. Inverse Probl. Eng., 1996, 3, 233–260.
Solution to shape optimization problems of viscous flow fields
EIJI KATAMINE†*, HIDEYUKI AZEGAMI‡, TOMOYUKI TSUBATA§ and SHOJI ITOH
International Journal of Computational Fluid Dynamics, Vol. 19, No. 1,
January 2005, 45–51
Shaping of axisymmetric bodies for minimum drag in incompressible flow
PARSONS, J.S. (Purdue Univ., Lafayette, IN);GOODSON, R.E.(Purdue Univ.,
Lafayette, IN);GOLDSCHMIED, F.R. Journal of Hydronautics 1974
0022-1716 vol.8 no.3 (100-107)
Unfortunately, none of those are available electronically (to me).
--
Andrew Resnick, Ph.D.
Department of Physiology and Biophysics
Case Western Reserve University
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| User: "Christoph" |
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| Title: Re: Dolphins, drag coefficients and physics |
01 Nov 2006 09:11:56 AM |
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Thank you very much!
C=2E Schiller
Andy Resnick wrote:
Here's a few relevant references:
Romanenko EV. Swimming of dolphins: experiments and modelling.
Symp Soc Exp Biol. 1995;49:21-33.
Videler JJ. Body surface adaptations to boundary-layer dynamics.
Symp Soc Exp Biol. 1995;49:1-20
Anderson EJ, McGillis WR, Grosenbaugh MA. The boundary layer of swimming
fish. J Exp Biol. 2001 Jan;204(Pt 1):81-102.
The last one has a lot of data and I was able to access it
electronically- I can email it to you if needed. They give a drag
coefficient of about 0.01, but there's a lot of detail I skipped over.
Also try Lighthill's classic "Mathematical Biofluiddynamics" text.
For the second question, I assume you are asking for the (solid body)
cross section that produces the lowest drag coefficient? If so, that's
all over the place:
Glowinski, R. and Pironneau, O. On the numerical computation of
minimum-drag profile in laminar flow. J. Fluid Mech., 1975, 72,
385-389 Part 2.
Pironneau, O. On optimum profiles in stokes flow. J. Fluid Mechanics,
1973, 59, 117-128 Part 1.
Huan, J.C. and Modi, V. Design of minimum drag bodies in
incompressible laminar flow. Inverse Probl. Eng., 1996, 3, 233-260.
Solution to shape optimization problems of viscous flow fields
EIJI KATAMINE=86*, HIDEYUKI AZEGAMI=87, TOMOYUKI TSUBATA=A7 and SHOJI ITOH
International Journal of Computational Fluid Dynamics, Vol. 19, No. 1,
January 2005, 45-51
Shaping of axisymmetric bodies for minimum drag in incompressible flow
PARSONS, J.S. (Purdue Univ., Lafayette, IN);GOODSON, R.E.(Purdue Univ.,
Lafayette, IN);GOLDSCHMIED, F.R. Journal of Hydronautics 1974
0022-1716 vol.8 no.3 (100-107)
Unfortunately, none of those are available electronically (to me).
--
Andrew Resnick, Ph.D.
Department of Physiology and Biophysics
Case Western Reserve University
.
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| User: "Herman Family" |
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| Title: Re: Dolphins, drag coefficients and physics |
01 Nov 2006 12:15:46 AM |
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You might contact the navy regarding the dolphins. They did or sponsored
some extensive studies on this sort of thing years ago. Apparently dolphin
skin covered boats are able to outrun PETA zodiacs better than other boats.
Michael
<chri_schiller@yahoo.com> wrote in message
news:1162326853.169346.230060@e3g2000cwe.googlegroups.com...
For the next version of my free physics text,
I am looking for the drag coefficient of dolphins
and the drag coefficient of the ideal tear shape.
Does anybody know a reference with measured
values of both quantities?
(I need the drag coefficient calculated
with the cross section, not the surface drag.
Numbers for the ideal value I found so far
vary between 0.0168 and 0.05)
Thank you in advance for any help!
Christoph Schiller
P.S. The free 1300 page physics textbook is
downloadable at http://www.motionmountain.net .
It is guaranteed to be interesting on every page.
.
|
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