An Internet search for why objects, especially humans, cool more rapidly in water than in air, both at the same temperature, and by how much, yields off-the-cuff answers unsupported by experiment or analysis. To answer these questions in depth requires a smattering of engineering heat transfer, including radiative transfer, and the different thermophysical properties of the two fluids. The correct ratio for humans is closer to 2 than to 10, and if this were not so, swimming in cool water could be fatal.
REFERENCES
1.
Frank St. C.
Golden
, “Hypothermia: A problem for North Sea industries
,” J. Soc. Occup. Med.
26
, 85
–88
(1976
).2.
J. S.
Hayward
, J. D.
Erickson
, and M. L.
Collis
, “Thermal balance and survival time prediction of man in cold water
,” Can. J. Physiol. Pharmacol.
53
, 21
–32
(1975
).3.
Robert L.
Berger
, “Nazi science—The Dachau hypothermia experiments
,” N. Engl. J. Med.
322
, 1435
–1449
(1990
).4.
Craig F.
Bohren
, “Comment on ‘Newton's law of cooling-A critical assessment’ by Colm T. O'Sullivan [Am. J. Phys. 58, 956– 960 (1990)]
,” Am. J. Phys.
59
, 1044
–1046
(Nov. 1991
).5.
Craig F.
Bohren
and Bruce A.
Albrecht
, Atmospheric Thermodynamics
(Oxford University Press
, New York
, 1998
), pp. 350
–352
.6.
Michael
Vollmer
, “Newton's law of cooling revisited
,” Eur. J. Phys.
30
, 1063
–1084
(2009
).7.
Gary S.
Settles
, Schlieren and Shadowgraph Techniques: Visualizing Phenomena in Transparent Media
(Springer
, Berlin
, 2001
), Fig. 4.1.8.
9.
David
Guerra
, Kevin
Corley
, Paolo
Giacometti
, Eric
Holland
, Michael
Humphreys
, and Michael
Nicotera
, “An introduction to dimensionless parameters in the study of viscous fluid flows
,” Phys. Teach.
49
, 175
–179
(March 2011
).10.
Ref. 8, p.
323
.11.
Ref. 8, p.
322
.12.
J. E. S.
Venart
and R. C.
Prasad
, “Thermal conductivity of water and oleum
,” J. Chem. Eng. Data.
25
, 196
–198
(1980
).13.
Thermophysical properties of air and water are conveniently tabulated in
G. K.
Batchelor
, An Introduction to Fluid Dynamics
(Cambridge University Press
, 1967
), Appendix 1.14.
Craig F.
Bohren
, What Light Through Yonder Window Breaks?
(Wiley
, New York
, 1991
), p. 133
.15.
Ref. 5, Fig. 7.3.
16.
George S.
Kell
, “Density, thermal expansivity, and compressibility of liquid water from 0° to 150° C: Correlations and tables for atmospheric pressure and saturation reviewed and expressed on 1968 temperature scale
,” J. Chem. Eng. Data
20
, 976
–105
(1975
).17.
18.
Ref. 8, p.
31
.19.
20.
Ref. 17, p.
58
.21.
G. W
Molnar
, “Survival of hypothermia by men immersed in the ocean
,” J. Am. Med. Soc.
131
, 1046
–1050
(1946
).22.
Alan C.
Burton
and Otto G.
Edholm
, Man in a Cold Environment
(Edward Arnold
, London
, 1955
).© 2011 American Association of Physics Teachers.
2011
American Association of Physics Teachers
AAPT members receive access to The Physics Teacher and the American Journal of Physics as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.