The Solution of the Stationary Aeroelasticity Problem for a Separation Channel with Deformable Sinusoidal Walls | Journal of Engineering Sciences

The Solution of the Stationary Aeroelasticity Problem for a Separation Channel with Deformable Sinusoidal Walls

Author(s): Demianenko M.1*, Volf M.2, Pavlenko V.3, Liaposhchenko O.1, Pavlenko I.1

Affiliation(s): 
1 Sumy State University, 2, Rymskogo-Korsakova St., 40007 Sumy, Ukraine;
2 University of West Bohemia, 2738/8 Univerzitni St., 301 00 Pilsen 3, Czech Republic;
3 Machine-Building College of Sumy State University, 18, Shevchenka Ave., 40022 Sumy, Ukraine.

*Corresponding Author’s Address: [email protected]

Issue: Volume 7, Issue 1 (2020)

Dates:
Paper received: January 22, 2020
The final version of the paper received: June 3, 2020
Paper accepted online: June 17, 2020

Citation:
Demianenko, M., Volf, M., Pavlenko, V., Liaposhchenko, O., Pavlenko, I. (2020). The solution of the stationary aeroelasticity problem for a separation channel with deformable sinusoidal walls. Journal of Engineering Sciences, Vol. 7(1), pp. D5–D10, doi: 10.21272/jes.2020.7(1).d2

DOI: 10.21272/jes.2020.7(1).d2

Research Area:  MECHANICAL ENGINEERING: Dynamics and Strength of Machines

Abstract. One of the most urgent problems concerning the design of inertial separation devices is the failure of the trapped liquid film from the contact surfaces due to the contact with the turbulent gas-liquid flow. For extension of the range of the effective inertial separation, a method of dynamic separation was proposed using the developed separation device with deformable sinusoidal walls. In this regard, the article is aimed at the development of the general methodology for the determination of the impact of hydrodynamic characteristics on the shape parameters for the deformed separation channel. The proposed approach is based on both physical and geometrical models. The first one allows obtaining compliance of deformable walls as a result of pressure distribution in the separation channel as a result of numerical simulation. The second one allows for obtaining variations of the main geometrical parameters of the proposed model using transfer functions. The relevancy of the proposed methodology was proved by the values of the relative errors for evaluating the variations of the amplitude and the radius of curvature.

Keywords: pressure field, elastic deformation, amplitude variation, elliptic integrals, transfer function, regression approach.

References:

  1. Gokhale, S. J., Plawsky, J. L., Wayner, P. C. (2004). Inferred pressure gradient and fluid flow in a condensing sessile droplet based on the measured thickness profile. Physics of Fluids, Vol. 16(6), pp. 1942–1955, doi: 10.1063/1.1718991.
  2. Chernyshenko, S. I., Goulart, P., Huang, D., Papachristodoulou, A. (2014). Polynomial sum of squares in fluid dynamics: A review with a look ahead. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, 20130350, doi: 10.1098/rsta.2013.0350.
  3. Lioumbas, J. S., Paras, S. V., Karabelas, A. J. (2005). Co-current stratified gas–liquid downflow – Influence of the liquid flow field on interfacial structure. International Journal of Multiphase Flow, Vol. 31(8), pp. 869–896, doi: 10.1016/j.ijmultiphaseflow.2005.05.002.
  4. Borisov, V. I. (1982). Viscous liquid flow in a channel with sinusoidal walls. Journal of Engineering Physics, Vol. 42, pp. 399–401, doi: 10.1007/BF00826839.
  5. Tsangaris, S., Leiter, E. (1984). On laminar steady flow in sinusoidal channels. Journal of Engineering Mathematics, Vol. 18, pp. 89–103, doi: 10.1007/BF00042729.
  6. Hasewaga, E., Saikai, M. (1988). On the trajectories of a small particle passing through a narrow curved channel. Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 54(507), pp. 3061–3068, doi: 10.1299/kikaib.54.3061.
  7. Pylypaka, S., Volina, T., Mukvich, M., Efremova, G., Kozlova, O. (2020). Gravitational relief with spiral gutters, formed by the screw movement of the sinusoid. Advances in Design, Simulation and Manufacturing III. DSMIE 2020. Lecture Notes in Mechanical Engineering, pp. 63–73, doi: 10.1007/978-3-030-50491-5_7.
  8. Bizzarri, G., Di Federico, V., Cintoli, L S. (2002). Stokes flow between sinusoidal walls. Advances in Fluid Mechanics IV, pp. 323–332.
  9. Bahaidarah, H. M. S. (2007). A numerical study of fluid flow and heat transfer characteristics in channels with staggered wavy walls. Numerical Heat Transfer, Part A: Applications, Vol. 51(9), pp. 877–898, doi: 10.1080/10407780600939644.
  10. Yin, J., Yang, G., Li, Y. (2012). The effects of wavy plate phase shift on flow and heat transfer characteristics in corrugated channel. Energy Procedia, Vol. 14, pp. 1566–1573, doi: 10.1016/j.egypro.2011.12.1134.
  11. Abdulsayid, A. G. A. (2012). Modeling of fluid flow in 2D triangular, sinusoidal, and square corrugated channels. International Journal of Chemical and Molecular Engineering, Vol. 6(11), doi: 10.5281/zenodo.1333624.
  12. Pervez, M., Aziz, A., Chaturvedi, S. (2013). Analysis of fluid flow and heat transfer characteristics in sharp edge wavy channels with horizontal pitch on both edges. International Journal of Engineering Research and Technology, Vol. 2(6), pp. 162–180.
  13. Mills, Z. G., Shah, T., Warey, A., Balestrino, S., Alexeev, A. (2014). Onset of unsteady flow in wavy walled channels at low Reynolds number. Physics of Fluids, Vol. 26, 084104, doi: 10.1063/1.4892345.
  14. Ahmed, M. A., Yusoff, M. Z., Ng, K. C., Shuai, N. H. (2014). The effects of wavy-wall phase shift on thermal-hydraulic performance of Al2O3–water nanofluid flow in sinusoidal-wavy channel. Case Studies in Thermal Engineering, Vol. 4, pp. 153–165, doi: 10.1016/j.csite.2014.09.005.
  15. Pavlenko, I. V., Liaposhchenko, O. O., Demianenko, M. M., Starynskyi, O. Ye. (2017). Static calculation of the dynamic deflection elements for separation devices. Journal of Engineering Sciences, Vol. 4(2), pp. B19–B24, doi: 10.21272/jes.2017.4(2).b19.
  16. Pavlenko, I., Liaposhchenko, O., Ochowiak, M., Demyanenko, M. (2018). Solving the stationary hydroaeroelasticity problem for dynamic deflection elements of separation devices. Vibrations in Physical Systems, Vol. 29, 2018026.
  17. Boonloi, A., Jedsadaratanachai, W. (2019). Thermo-hydraulic performance improvement, heat transfer, and pressure loss in a channel with sinusoidal-wavy surface. Advances in Mechanical Engineering, 11(9), pp. 1–17, doi: 10.1177/1687814019872573.
  18. Salami, M., Khoshvaght-Aliabadi, M., Feizabadi, A. (2019). Investigation of corrugated channel performance with different wave shapes. Journal of Thermal Analysis and Calorimetry, Vol. 138, pp. 3159–3174, doi: 10.1007/s10973-019-08361-y.
  19. Zheng, Q. (2002). Constitutive relations of linear elastic materials under various internal constraints. Acta Mechanica, Vol. 158(1-2), pp. 97–103, doi: 10.1007/BF01463172.
  20. Wang, F., Guo, B., Qi, F. (2020). Monotonicity and inequalities related to complete elliptic integrals of the second kind. AIMS Mathematics, Vol. 5(3), pp. 2732–2742, doi: 10.3934/math.2020176.
  21. Pavlenko, I., Trojanowska, J., Ivanov, V., Liaposhchenko, O. (2019). Parameter identification of hydro-mechanical processes using artificial intelligence systems. International Journal of Mechatronics and Applied Mechanics, Vol. 2019(5), pp. 19–26.

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