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Forced Convection Past a Rotating Sphere: Modeling Oxygen Transport to a Pond Snail Embryo

[+] Author and Article Information
D. A. Nield

Department of Engineering Science,
University of Auckland,
Private Bag 92019,
Auckland, New Zealand
e-mail: d.nield@auckland.ac.nz

A. V. Kuznetsov

Department of Mechanical and Aerospace Engineering,
North Carolina State University,
Campus Box 7910,
Raleigh, NC 27695-7910
e-mail: avkuznet@ncsu.edu

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 9, 2012; final manuscript received June 17, 2013; published online September 27, 2013. Assoc. Editor: Patrick E. Phelan.

J. Heat Transfer 135(12), 124503 (Sep 27, 2013) (3 pages) Paper No: HT-12-1551; doi: 10.1115/1.4024871 History: Received October 09, 2012; Revised June 17, 2013

Helisoma trivolvis pond snail embryos are known for their rotation, which is induced by beating of cilia at the embryo's surface. A common hypothesis links this behavior to enhancing oxygen transfer to the embryo's surface. In this paper, this hypothesis is quantified, and the effect of the rotation on the supply of oxygen to an embryo, which is approximately spherical in shape, is studied. To the best of our knowledge, this is the first research presenting a quantitative study on the effect of an embryo's rotation on facilitating gaseous exchange between the embryo and the environment.

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References

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Figures

Grahic Jump Location
Fig. 1

Dimensionless oxygen concentration, defined by Eq. (6), versus the dimensionless radial coordinate r (r = 1 corresponds to the surface of the embryo). λ = 10.

Grahic Jump Location
Fig. 2

The local Sherwood number (depends on the position on the embryo's surface) versus the solutal Péclet number λ, which is directly related to the embryo's angular velocity (see Eq. (8))

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