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Effect of free convection on thermodiffusion in a liquid mixture filling an inclined rectangular cavity

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Abstract

The convective motion which develops in an inclined cavity upon heating from above determines to a significant degree the form of the concentration field produced by thermodiffusion. The interaction of convective and thermodiffusion fluxes at small thermal Grashof numbers Gr causes the appearance of longitudinal jumps in concentration. Increase in temperature difference intensifies convection and encourages reduction in concentration gradients. The dominant role of convection for fixed Gr is determined by the angle of inclination of the liquid layer [1, 2]. A significant feature of liquid solutions is their low diffusion coefficient and thus high Schmidt number. This fact does not permit use of results obtained for gas mixtures, and greatly complicates numerical simulations. In contrast to [2], the present study will investigate thermodiffusion separation in a cavity with impermeable boundaries.

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Literature cited

  1. A. Yu. Pinyagin and A. F. Pshenichnikov, “Free convection of a binary liquid mixture an inclined rectangular cavity,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4 (1979).

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  4. K. G. Kostarev and A. F. Pshenichnikov, Experimental Study of Concentration Fields in the Gap between Horizontal Coaxial Cylinders under Free Laminar Convection Conditions [in Russian], Permsk. Inst., Perm' (deposited in VINITI Dec. 11, 1984, No. 7906-84).

  5. V. M. Buzmakov, A. Yu. Pinyagin, and A. F. Pshenichnikov, “Method for simultaneous measurement of Soret coefficient and diffusion of liquid solutions,” Inzh. Fiz. Zh.,44 (1983).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 73–76, September–October, 1986.

In conclusion, the authors thank G. Z. Gershun for evaluation of the results and helpful remarks.

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Kostarev, K.R., Pshenichnikov, A.F. Effect of free convection on thermodiffusion in a liquid mixture filling an inclined rectangular cavity. J Appl Mech Tech Phys 27, 695–697 (1986). https://doi.org/10.1007/BF00916140

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  • DOI: https://doi.org/10.1007/BF00916140

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