The problem of heat and mass transfer from small spheres and cylinders freely suspended in a shear flow is considered in the limit of Reynolds number Re → 0. Asymptotic formulas are derived which relate the Nusselt number Nu to the Péclet number Pe in the limit Pe → 0, and for the case of the cylinder, Pe → ∞. At high Pe, the Nusselt number is found to approach a constant value, whereas, at low Pe it is shown to increase with for the sphere and with for the cylinder. These results indicate the existence of a fundamental difference at high Pe between the shear flow problem studied here and the corresponding classical problem of uniform flow at infinity.
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J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Prentice‐Hall, Inc., Englewood Cliffs, New Jersey, 1965), p. 65.
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R. G.
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N. A. Frankel, Ph.D. thesis, Stanford University (1968).
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C. Truesdell, The Kinematics of Vorticity (Indiana University Press, Bloomington, Indiana, 1954), p. 23.
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© 1968 American Institute of Physics.
1968
American Institute of Physics
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