Liquid Spray from Nozzles pp 139-165 | Cite as

# Calculation of Drag Coefficient of a Sphere and Heat Transfer from It to a Gaseous Flow

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## Abstract

The hypothesis about the influence of the early drag crisis of sphere on its heat exchange with gas was confirmed by mathematical modeling. First, the numerical simulation of the gas flow around the sphere in a cylindrical channel was carried out with the calculation of the drag coefficient of sphere and heat transfer from it to a gas. Second, the same was done for the case of flow around the sphere by a free gas stream, both laminar and strongly turbulent. In the latter case, it was found that the early crisis of drag for the sphere is accompanied by a crisis of its heat exchange with gas. In addition, the numerical simulation of the heat exchange of a drop of liquid with a gas stream was carried out without taking into account its evaporation.

## References

- 1.Brounshtein, B. I., & Fishbein, G. A. (1977).
*Fluid dynamics, mass and heat transfer in dispersed systems*. Leningrad: Khimiya.Google Scholar - 2.Torobin, L. B., & Gauvin, W. H. (1959).
*Canadian Journal of Chemical Engineering, 37*(4), 129.CrossRefGoogle Scholar - 3.Schlichting, H. (1955).
*Boundary-layer theory*. New York: McGraw-Hill. Nauka, Moscow, 1974).zbMATHGoogle Scholar - 4.Simakov, N. N. (2004). Crisis of Hydrodynamic Drag of Drops in the Two-Phase Turbulent Flow of a Spray Produced by a Mechanical Nozzle at Transition Reynolds Numbers.
*Technical Physics, 49*, 188.CrossRefGoogle Scholar - 5.Simakov, N. N., & Simakov, A. N. (2005). Anomaly of gas drag force on liquid droplets in a turbulent two-phase flow produced by a mechanical jet sprayer at intermediate Reynolds numbers.
*Journal of Applied Physics, 97*, 114901.CrossRefGoogle Scholar - 6.Simakov, N. N. (2010). Experimental Verification of the Early Crisis of Drag Using a Single Sphere.
*Technical Physics, 55*, 913.CrossRefGoogle Scholar - 7.Simakov, N. N. (2011). Effect of the gas flow geometry and turbulence on the hydrodynamic drag of a body in the flow, Technical Physics.
*Technical Physics, 56*, 1562.CrossRefGoogle Scholar - 8.Simakov, N. N. (2013). Calculation of the flow about a sphere and the drag of the sphere under laminar and strongly turbulent conditions.
*Technical Physics, 58*, 481.CrossRefGoogle Scholar - 9.Landau, L. D., & Lifshitz, E. M. (1988).
*Course of theoretical physics*(Fluid mechanics) (Vol. 6). Moscow: Nauka. Pergamon, New York, 1987).Google Scholar - 10.Loitsyanskii, L. G. (1978).
*Mechanics of liquids and gases*. Moscow: Nauka. Pergamon, Oxford, 1966).zbMATHGoogle Scholar - 11.Fedorenko, R. P. (1994).
*Introduction to computational physics*. Moscow: Moscow Institute of Physics and Technology.Google Scholar - 12.Simakov, N. N. (2016). Calculation of the Drag and Heat Transfer from a Sphere in the Gas Flow in a Cylindrical Channel.
*Technical Physics, 61*, 1312.CrossRefGoogle Scholar - 13.Potter, D. (1973).
*Computational physics*. New York: Wiley. Mir, Moscow, 1975.zbMATHGoogle Scholar - 14.Ranz, W. E., & Marshall, W. R. (1952).
*Chemical Engineering Progress, 48*(5), 173.Google Scholar - 15.Simakov, N. N. (2014). Early crisis of ball resistance in a highly turbulent flow and its effect on heat and mass transfer of a ball with a gas. In V. N. Blinichev (Ed.),
*Proceedings of the international scientific–technical conference on problems of resource-and energy-saving technologies in industry and agro-Industrial complex, Ivanovo, 2014*(Vol. 2, p. 389). Ivanovo: Ivanovo State University of Chemistry and Technology.Google Scholar - 16.Simakov, N. N. (2016). Calculations of the Flow Resistance and Heat Emission of a Sphere in the Laminar and High-turbulent Gas Flows.
*Technical Physics, 61*, 1806.CrossRefGoogle Scholar