Heat transfer in toroidal pipes when the Prandtl number is large
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 87-90

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We discuss the temperature distribution in a toroidal pipe in the limit case $\Pr\to\infty$. The temperature is constant along the streamlines of the secondary flow. The temperature distribution on the streamlines is governed by an equation which is derived from the primary equation $(\Pr\ne\infty)$ by integration along closed streamlines. The boundary condition for this equation follows from the existence of the closed boundary layer near the wall and the symmetry plane of the pipe.
@article{VMUMM_1983_2_a19,
     author = {S. I. Chernyshenko},
     title = {Heat transfer in toroidal pipes when the {Prandtl} number is large},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {87--90},
     publisher = {mathdoc},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a19/}
}
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S. I. Chernyshenko. Heat transfer in toroidal pipes when the Prandtl number is large. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 87-90. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a19/