Investigation of Geometry Effect on Heat and Mass Transfer in Buoyancy Assisting with the Vertical Backward and Forward Facing Steps

References

[1] D. E. Abbott and S. J. Kline, Experimental investigations of subsonic turbulent flow over single and double backward-facing steps, J. Basic Eng. 84 (1962), 317.10.1115/1.3657313Search in Google Scholar

[2] A. Sebanr, Heat transfer to the turbulent separated flows of air downstream of a step in the surface of a plate, J. Heat Transfer. 86 (1964), 259.10.1115/1.3687118Search in Google Scholar

[3] S.-K. Choi and S.-O. Kim, Turbulence modeling of natural convection in enclosures: A review, J. Mech. Sci. Technol. 26 (1) (2012), 283–297.10.1007/s12206-011-1037-0Search in Google Scholar

[4] J. Goldsteinr, L. Eriksenv, M. Olsonr and R. G. Eckerte, Laminar separation, reattachment and transition of flow over a downstream-facing step, J. Basic Eng. 92 (1970), 732.10.1115/1.3425124Search in Google Scholar

[5] Y. S. Kumara, Internal separated flows at large Reynolds number, J. Fluid Mech. 97 (1980), 27.10.1017/S0022112080002418Search in Google Scholar

[6] D. Gosmana and M. Punw, Lecture notes for course entitled: ‘Calculation of recirculating flow, Heat Transfer Rep. 74 (1974), 2.Search in Google Scholar

[7] F. Durst and H. Whitelawj, Aerodynamic properties of separated gas flows: Existing measurements techniques and new optical geometry for the laser-Doppler anemometer, Prog. Heat Mass Transfer. 4 (1971), 311.Search in Google Scholar

[8] B. F. Armaly, F. Durst, J. C. F. Pereira and B. Schonung, Experimental and theoretical investigation of backward-facing step flow, J. Fluid Mech. 127 (1983), 473–496.10.1017/S0022112083002839Search in Google Scholar

[9] D. Barkley, M. Gabriela, M. Gomes and R. D. Henderson, Three-dimensional instability in flow over a backward-facing step, J. Fluid Mech. 473 (2002), 167–190.10.1017/S002211200200232XSearch in Google Scholar

[10] G. Biswas, M. Breuer and F. Durst, Backward-facing step flows for various expansion ratios at low and moderate Reynolds numbers, J. Fluid Eng. 126 (2004), 362–374.10.1115/1.1760532Search in Google Scholar

[11] Y. T. Chen, J. H. Nie, B. F. Armaly and H. T. Hsieh, Turbulent separated convection flow adjacent to backward-facing step deffects of step height, Int. J. Heat Mass Transfer. 49 (2006), 3670–3680.10.1016/j.ijheatmasstransfer.2006.02.024Search in Google Scholar

[12] J. Tihon, V. Penkavova, J. Havlica and M. Simcik, The transitional backward-facing step flow in a water channel with variable expansion geometry, Exp. Therm. Fluid Sci. 40 (2012), 112–125.10.1016/j.expthermflusci.2012.02.006Search in Google Scholar

[13] M. Shahi, J. B. W. Kok and A. Pozarlik, On characteristics of a non-reacting and a reacting turbulent flow over a backward facing step (BFS), Int. Commun. Heat Mass Transfer. 61 (2015), 16–25.10.1016/j.icheatmasstransfer.2014.11.005Search in Google Scholar

[14] M. Ramšak, Conjugate heat transfer of backward-facing step flow: A benchmark problem revisited, Int. J. Heat Mass Transfer. 84 (2015), 791–799.10.1016/j.ijheatmasstransfer.2015.01.067Search in Google Scholar

[15] R. Cardenas and V. Narayanan, Heat and mass transfer characteristics of a constrained thin-film ammonia-water bubble absorber, Int. J. Refrig. 34 (2011), 113–128.10.1016/j.ijrefrig.2010.08.010Search in Google Scholar

[16] S. Wellsant and L. Vamling, Heat transfer and pressure drop in a plate-type evaporator, Int. J. Refrig. 26 (2003), 180–188.10.1016/S0140-7007(02)00080-4Search in Google Scholar

[17] W. L. Chen, A numerical study on the heat-transfer characteristics of an array of alternating horizontal or vertical oval cross-section pipes placed in a cross stream, Int. J. Refrig. 30 (2007), 454–463.10.1016/j.ijrefrig.2006.09.001Search in Google Scholar

[18] W. A. Xie, G. N. Xi and M. B. Zhong, Effect of the vortical structure on heat transfer in the transitional flow over a backward-facing step, Int. J. Refrig. 74 (2017), 463–472.10.1016/j.ijrefrig.2016.11.001Search in Google Scholar

[19] E. Sourtiji, S. F. Hosseinizadeh, M. Gorji-Bandpy and J. M. Khodadadi, Computational study of turbulent forced convection flow in a square cavity with ventilation ports, Numer. Heat Transfer Part A. 59 (2011), 954–969.10.1080/10407782.2011.582406Search in Google Scholar

[20] B. F. Armaly and F. Durst, Reattachment length and circulation regions downstream of two-dimensional single backward facing step. ASME Winter Annual Meeting At: New York, ASME Paper # HTD-Vol. 13 (1980), 1–7.Search in Google Scholar

[21] J. K. Eaton and J. P. Johnson, A review of research on subsonic turbulent flow reattachment, Aiaa J. 19 (1981), 1093–1100.10.2514/3.60048Search in Google Scholar

[22] R. L. Simpson, A review of some phenomena in turbulent flow separation, J. Fluid Eng. 103 (1981), 528–530.10.1115/1.3241761Search in Google Scholar

[23] W. Aung and G. Worku, Theory of fully developed. combined convection including flow reversal, J. Hear Transfer. 108 (1986), 485–488.10.1115/1.3246958Search in Google Scholar

[24] W. Aung, Separated forced convection, Proc. ASMEIJSME Thermal Enana Joint Con/. 2: 499–515. ASME, New York, 1983b.Search in Google Scholar

[25] W. Aung, An experimental study of laminar heat transfer downstream of backsteps, J. Heat Transfer. 105 (1983a), 823–829.10.1115/1.3245668Search in Google Scholar

[26] W. Aung, A. Baron and F. K. Tsou, Wall independency and effect of initial shear-layer thickness in separated flow and heat transfer, Int. J. Hear Mass Transfer. 28 (1985), 1757–1771.10.1016/0017-9310(85)90149-8Search in Google Scholar

[27] E. M. Sparrow, G. M. Chrysler and L. F. Azevedo, Observed flow reversals and measured-predicted Nusselt numbers for natural convection in a one-sided heated vertical channel, J. Heat Transfer. 106 (1984), 325–332.10.1115/1.3246676Search in Google Scholar

[28] E. M. Sparrow, S. S. Kang and W. Chuck, Relation between the points of flow reattachment and maximum heat transfer for regions of flow separation, Int. J. Heat Mass Transfer. 30 (1987), 1237–1246.10.1016/0017-9310(87)90157-8Search in Google Scholar

[29] E. M. Sparrow and W. Chuck, PC solutions for heat transfer and fluid flow downstream of an abrupt, asymmetric enlargement in a channel, Numer. Heat Transfer. 12 (1987), 1940.10.1080/10407788708913572Search in Google Scholar

[30] J. Nie and B. F. Armaly, Three-dimensional convective flow adjacent to backward-facing step deffects of step height, Int. J. Heat Mass Transfer. 45 (2002), 2431–2438.10.1016/S0017-9310(01)00345-3Search in Google Scholar

[31] T. Shakouchi and I. Kajino, Flow and forced-convection heat transfer over forward facing double steps (effects of step ratio), J: Heat Transfer-Jpn Res; (United States). 22 (1994), 716–730.Search in Google Scholar

[32] I. Yılmaz and H. F. Oztop, Turbulence forced convection heat transfer over double forward facing step flow, Int. Commun. Heat Mass Transfer. 33 (2006), 508–517.10.1016/j.icheatmasstransfer.2005.08.015Search in Google Scholar

[33] P. Louda, J. Prihoda and K. Kozel, Numerical simulation of flows over 2D and 3D backward-facing inclined steps, Int. J. Heat Fluid Flow. 43 (2013), 268–276.10.1016/j.ijheatfluidflow.2013.05.023Search in Google Scholar

[34] J. F. Largeau and V. Moriniere, Wall pressure fluctuations and topology in separated flows over a forward-facing step, Exp. Fluids. 42 (2007), 21–40.10.1007/s00348-006-0215-9Search in Google Scholar

[35] R. Moosavi and A. G. Nassab, Turbulent forced convection over a single inclined forward step in a duct: Part I-flow field, Eng. Appl. Comp. Fluid. 2 (2008), 366–374.10.1080/19942060.2008.11015236Search in Google Scholar

[36] S. A. G. Nassab, R. Moosavi and S. M. H. Sarvari, Turbulent forced convection flow adjacent to inclined forward step in a duct, Int. J. Therm. Sci. 48 (2009), 1319–1326.10.1016/j.ijthermalsci.2008.10.003Search in Google Scholar

[37] H. Hattori and Y. Nagano, Investigation of turbulent boundary layer over forward-facing step via direct numerical simulation, Int. J. Heat Fluid Flow. 31 (2010), 284–294.10.1016/j.ijheatfluidflow.2010.02.027Search in Google Scholar

[38] M. Sherry, D. L. Jacono and J. Sheridan, An experimental investigation of the recirculation zone formed downstream of a forward facing step, J. Wind Eng. Ind. Aerod. 98 (2010), 888–894.10.1016/j.jweia.2010.09.003Search in Google Scholar

[39] H. Villanueva and P. Mello, Heat transfer and pressure drop correlations for finned plate ceramic heat exchangers, Energy. 88 (2015), 118–125.10.1016/j.energy.2015.04.017Search in Google Scholar

[40] M. Atashafrooz, S. A. G. Nassab and A. B. Ansari, Numerical investigation of entropy generation in laminar forced convection flow over inclined backward and forward facing steps in a duct under bleeding condition, Therm. Sci. 18 (2014), 479–492.10.2298/TSCI110531026ASearch in Google Scholar

[41] R. Ranjan, C. Pantano and P. Fischer, Direct simulation of turbulent heat transfer inswept flow over a wire in a channel, Int. J. Heat Mass Transfer. 54 (2011), 4636–4654.10.1016/j.ijheatmasstransfer.2011.06.013Search in Google Scholar

[42] K. S. Mushatet, Simulation of turbulent flow and heat transfer over a backward-facing step with ribs turbulators, Therm. Sci. 15 (2011), 245–255.10.2298/TSCI090926044MSearch in Google Scholar

[43] N. Guerroudj and H. Kahalerras, Mixed convection in a channel provided with heated porous blocks of various shapes, Energy Convers. Manag. 51 (2010), 505–517.10.1016/j.enconman.2009.10.015Search in Google Scholar

[44] S. Y. Kim and B. H. Kang, Forced convection heat transfer from two heated blocks in pulsating channel flow, Int. J. Heat Mass Transfer. 41 (1998), 625e34.10.1016/S0017-9310(97)00138-5Search in Google Scholar

[45] I. Ngo and C. Byon, Effects of heater location and heater size on the natural convection heat transfer in a square cavity using finite element method, J. Mech. Sci. Technol. 29 (7) (2015), 2995.10.1007/s12206-015-0630-zSearch in Google Scholar

[46] H. F. Oztop and E. Abu-Nada, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat. Fluid Fl. 29 (5) (2008), 1326–1336.10.1016/j.ijheatfluidflow.2008.04.009Search in Google Scholar

[47] W. A. Xie and G. N. Xi, Geometry effect on flow fluctuation and heat transfer in unsteady forced convection over backward and forward facing steps, Energy. 132 (2017), 49–56.10.1016/j.energy.2017.05.072Search in Google Scholar

[48] A. Issakhov Numerical modelling of distribution the discharged heat water from thermal power plant on the aquatic environment. AIP Conference Proceedings 1738, 480025 (2016b); doi: 10.1063/1.4952261.Search in Google Scholar

[49] A. Issakhov, Modeling of synthetic turbulence generation in boundary layer by using zonal RANS/LES method, Int. J. Nonlinear Sci. Numer. Simul. 15 (2) (2014), 115–120. doi: 10.1515/ijnsns-2012-0029.Search in Google Scholar

[50] A. Issakhov, editors. Vasant, Pandian, and Nikolai Voropai, Mathematical modelling of the thermal process in the aquatic environment with considering the hydrometeorological condition at the reservoir-cooler by using parallel technologies, Sust. Power Res. Energy Opt. Eng. (2016c), 227–243.10.4018/978-1-4666-9755-3.ch010Search in Google Scholar

[51] A. Issakhov, Numerical modelling of the thermal effects on the aquatic environment from the thermal power plant by using two water discharge pipes, AIP Conf. Proc. 1863 (560050) (2017b), doi: 10.1063/1.4992733.Search in Google Scholar

[52] A. J. Chorin, Numerical solution of the Navier–Stokes equations, Math, Comp. 22 (104) (1968), 745–762.10.1090/S0025-5718-1968-0242392-2Search in Google Scholar

[53] A. Issakhov, Numerical study of the discharged heat water effect on the aquatic environment from thermal power plant by using two water discharged pipes, Int. J. Nonlinear Sci. Numer. Simul. 18 (6) (2017a), 469–483.10.1515/ijnsns-2016-0011Search in Google Scholar

[54] A. Issakhov, Mathematical modeling of the discharged heat water effect on the aquatic environment from thermal power plant, Int. J. Nonlinear Science. Numer. Simul. 16 (5) (2015a), 229–238. doi: doi:10.1515/ijnsns-2015-0047.Search in Google Scholar

[55] A. Issakhov, Mathematical modeling of the discharged heat water effect on the aquatic environment from thermal power plant under various operational capacities, Appl. Math. Modell. 40 (2) (2016a), 1082–1096.10.1016/j.apm.2015.06.024Search in Google Scholar

[56] A. Issakhov, Numerical modeling of the effect of discharged hot water on the aquatic environment from a thermal power plant, Int. J. Energy Clean Environ. 16 (1–4) (2015b), 23–28.10.1615/InterJEnerCleanEnv.2016015438Search in Google Scholar

[57] A. Issakhov, Y. Zhandaulet and A. Nogaeva, Numerical simulation of dam break flow for various forms of the obstacle by VOF method, Int. J. Multiphase Flow. (2018), doi: 10.1016/j.ijmultiphaseflow.2018.08.003.Search in Google Scholar

[58] A. Issakhov, and Y. Zhandaulet, Numerical simulation of thermal pollution zones’ formations in the water environment from the activities of the power plant. Engineering Applications of Computational Fluid Mechanics, 13(1) (2019), 279–299.10.1080/19942060.2019.1584126Search in Google Scholar

[59] A. Issakhov and A. Mashenkova, Numerical study for the assessment of pollutant dispersion from a thermal power plant under the different temperature regimes, Int. J. Environ. Sci. Technol. (2019b), doi: 10.1007/s13762-019-02211-y.Search in Google Scholar

[60] A. Issakhov, R. Bulgakov and Y. Zhandaulet, Numerical simulation of the dynamics of particle motion with different sizes, Eng. Appl. Comput. Fluid Mech. 13 (1) (2019a), 1–25.10.1080/19942060.2018.1545253Search in Google Scholar

[61] J. T. Lin, B. F. Armaly and T. S. Chen, Mixed convection in buoyancy-assisting, vertical backward-facing step flows, Int. J. Heat Mass Transfer. 33 (10) (1990), 2121–2132.10.1016/0017-9310(90)90114-ASearch in Google Scholar