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Forced convection heat transfer due to different inclination angles of splitter behind square cylinder

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Abstract

A numerical investigation is carried out to study the effect of splitter’s inclination angle behind an inclined square cylinder on the forced convection heat transfer in a plan channel using the lattice Boltzmann method (LBM). The simulations are conducted for the pertinent parameters in the following ranges: the Reynolds number Re=50–300, the gap ratio G/d = 2, and the splitter’s inclination angle θ = 0°−90°. The results show that with the increase in the angle of the splitter, the drag coefficient initially decreases and then increases. Moreover, the time-averaged Nusselt number at a certain angle increases noticeably.

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References

  1. Anderson, E. A. and Szewczyk, A. A. Effect of a splitter on the near wake of a circular cylinder in 2 and 3-dimensional flow configurations. Experiments in Fluids, 23(2), 161–174 (1997)

    Article  Google Scholar 

  2. Boisaubert, N. and Texier, A. Effect of a splitter plate on the near-wake development of a semicircular. Experimental Thermal Fluid Science, 16(1–2), 100–111 (1998)

    Article  Google Scholar 

  3. Hwang, J. Y., Yang, K. S., and Sun, S. H. Reduction of flow-induced forces on a circular cylinder using a detached splitter plate. Physics of Fluids, 15(8), 2433–2436 (2003)

    Article  Google Scholar 

  4. Razavi, S. E., Farhangmehr, V., and Barar, F. Impact of the splitter plate on flow and heat transfer around circular cylinder at low Reynolds numbers. Journal of Applied Science, 8(7), 1286–1292 (2008)

    Article  Google Scholar 

  5. Tiwari, S., Chakraborty, D., Biswas, G., and Panigrahi, P. K. Numerical prediction of flow and heat transfer in a channel in the presence of a built-in circular tube with and without an integral wake splitter. International Journal of Heat and Mass Transfer, 48(2), 439–453 (2005)

    Article  MATH  Google Scholar 

  6. Ozono, S. Flow control of vortex shedding by a short splitter plate asymmetrically arranged downstream of a cylinder. Physics of Fluids, 11(10), 2928–2934 (1999)

    Article  MATH  Google Scholar 

  7. Faruquee, Z., Ting, D. S. K., Fartaj, A., Barron, R. M., and Carriveau, R. The effects of axis ratio on laminar fluid flow around an elliptical cylinder. International Journal of Heat and Fluid Flow, 28(5), 1178–1189 (2007)

    Article  Google Scholar 

  8. Sohankar, A., Norberg, C., and Davidson, L. Low-Reynolds number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary conditions. International Journal of Numerical Methods in Fluids, 26, 39–56 (1998)

    Article  MATH  Google Scholar 

  9. Turki, S., Abbassi, H., and Nasrallah, S. B. Two-dimensional laminar fluid flow and heat transfer in a channel with a built-in heated square cylinder. International Journal of Thermal Science, 42(12), 1105–1113 (2003)

    Article  Google Scholar 

  10. Yoon, D. H., Yang, K. S., and Choi, C. B. Heat transfer enhancement in channel flow using an inclined square cylinder. Journal of Heat Transfer, 131, 074503 (2009)

    Article  Google Scholar 

  11. Alawadhi, E. M. Laminar forced convection flow past an in-line elliptical cylinder array with inclination. Journal of Heat Transfer, 132, 071701 (2010)

    Article  Google Scholar 

  12. Mahir, N. and Altaç, Z. Numerical investigation of convective heat transfer in unsteady flow past two cylinders in tandem arrangements. International Journal of Heat and Fluid Flow, 29(5), 1309–1318 (2008)

    Article  Google Scholar 

  13. Succi, S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Clarendon Press, Oxford (2001)

    MATH  Google Scholar 

  14. Mohamad, A. A. Applied Lattice Boltzmann Method for Transport Phenomena, Momentum, Heat and Mass Transfer, Sure Print, Dalbrent, Canada (2007)

    Google Scholar 

  15. Qian, Y. H., d’Humieres, D., and Lallemand, P. Lattice BGK models for Navier-Stokes equation. Europhysics Letters, 17(6), 479–484 (1992)

    Article  MATH  Google Scholar 

  16. Bhatnagar, L., Gross, E. P., and Krook, M. A model for collisional processes in gases I: small amplitude processes in charged and neutral one component system. Physical Review, 94(3), 511–525 (1954)

    Article  MATH  Google Scholar 

  17. Zhou, L., Cheng, M., and Hung, K. C. Suppression of fluid force on a square cylinder by flow control. Journal of Fluid and Structure, 21(2), 151–167 (2005)

    Article  Google Scholar 

  18. Breuer, M., Bernsdorf, J., Zeiser, T., and Durst, F. Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume. International Journal of Heat and Fluid Flow, 21(2), 186–196 (2000)

    Article  Google Scholar 

  19. Moussaoui, M. A., Jami, M., Mezrhab, A., and Naji, H. MRT-lattice Boltzmann simulation of forced convection in a plane channel with an inclined square cylinder. International Journal of Thermal Sciences, 49(1), 131–142 (2010)

    Article  Google Scholar 

  20. Bararnia, H., Soleimani, S., and Ganji, D. D. Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure. International Communications in Heat and Mass Transfer, 38(10), 1436–1442 (2011)

    Article  Google Scholar 

  21. Yan, Y. Y. and Zu, Y. Q. Numerical simulation of heat transfer and fluid flow past a rotating isothermal cylinder — a LBM approach. International Journal of Heat and Mass Transfer, 51(9–10), 2519–2536 (2008)

    Article  MATH  Google Scholar 

  22. Mei, R., Yu, D., Shyy, W., and Luo, L. S. Force evaluation in the lattice Boltzmann method involving curved geometry. Physical Review E, 65(4), 041203 (2002)

    Article  Google Scholar 

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Seyyedi, S.M., Ganji, D.D., Gorji, M. et al. Forced convection heat transfer due to different inclination angles of splitter behind square cylinder. Appl. Math. Mech.-Engl. Ed. 34, 541–558 (2013). https://doi.org/10.1007/s10483-013-1689-9

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  • DOI: https://doi.org/10.1007/s10483-013-1689-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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