Using the equation of energy to determine the friction losses in vertical high-viscosity two-phase flow
DOI:
https://doi.org/10.20998/2078-774X.2016.10.07Анотація
There have been submitted the analysis of the specific application of the equation of conversation of energy to determine the friction losses of two-phase high-viscosity ascensional flow in a vertical pipe. The method of processing the results of the experimental data using the energy equation were presented, the results of generalization of experimental research in the form of approximating dependence for the entire range of data points have been showed also. Reasons of variation of experimental data points while the conventional division of the whole range of points in three areas depending on the values of the criteria Froude of two-phase high-viscosity flow have been analysed. The program for statistical data ahalysis have been used for processing the results of the experimental data, the approximating dependence have been derived with the application of Quasi-Newton method. There were compared the results f experimental generalization researches of two-phase high-viscosity flows in the case of using the equation of conversation of energy and in the case of using the equation of conversation of momentum (impulse). The technique of experimental research, and approximating dependence for determining pressure loss due to friction two-phase high-flow can be recommended for application to calculate the elements of thermal technological equipment.
Посилання
Baldina, O. M., Lokshin, A. V. and Peterson D. F. (1978), Gidravlicheskij raschjot kotel'nyh agregatov (normativnyj metod)[Hydraulic calculation of boiler units (standard method)], Jenergija [Energy], Moscow, Russia. – 256 p.
Tkachenko, S. J. (1988), “Obobshhennye metody raschjota teplogidrodinamicheskih processov i primenenie ih dljaoptimizaciivyparnyh ustanovok: avtoreferat [Generalized methods for calculating heat hydrodynamicprocessesandtheirapplicationtooptimize the evaporators]”, Abstract of D. Sc. dissertation, Technicalthermalpowerengineering,Moscowenergyuniversity, Moscow, Russia.
Tkachenko, S. J. and Stepanova, N. D. (2008), Samozakipajuchі potoki v drenazhnih kanalah teplotehnologіchnih sistem[Self-boiling flows in draining pipes of thermal-power technology systems], Universum-Vinnycja, Vinnycja, – ISBN 978-966-641-274-7.
Battervors, D. and H'juitt G. (1980), Teploperedacha v dvuhfaznom potoke [Heat transfer in the two-phase flow], Jenergija,[Energy], Moscow, Russia.
Fedotkin, I. M. and Tkachenko, S. J. (1975), Teplogidrodinamicheskie processy v vyparnyh aparatah [ThermalHydrodynamicprocesses in evaporators], Tehnika [Technique], Kyiv, Ukraine.
Tkachenko, S. Y., Stepanova, N. D. and Bochkova, O. Yu. (2011), “Bahatokomponentnyy samozakypayuchyy potikvelementakh vyparnyka myttyevoho skypannya [Multicomponent self-boiling flow in elements of instant-boilingevaporators]”,Visnyk VPI [VPI Announcer], no. 4, pp. 90–93, ISSN 1997-9266.
Shiu, B. R., Yamamot, S. and Yuan, X. (2004), ²Application of Preconditioning Method to Gas Liquid Two-phaseFlowComputations², Transaction of the ASME. Journal of Fluids Engineering, vol. 126, no. 10. pp. 606–612.