Verification of Models for Turbulent Heat Fluxes in the Flow over a Rectangular Rib on a Plate
Authors: Afanasiev V.N., Kong Dehai, Egorov K.S. | Published: 24.01.2019 |
Published in issue: #1(706)/2019 | |
Category: Aviation, Rocket and Technology | Chapter: Aerodynamics and Heat Transfer Processes in Aircraft | |
Keywords: numerical simulation, turbulent heat flux, two-equation model, explicit algebraic model, rectangular rib, temperature fluctuation |
In this paper, verification of several turbulent heat flux models for the calculation of the plane turbulent heat transfer near a rectangular rib on a plate is presented. These models are included in simple zero-equation models and in complex models (two-parameter dissipative models, explicit algebraic models and differential model). The simulation is performed using ANSYS Fluent software package with the inclusion of UDF (User Defined Function). The calculation results are compared with the experimental profiles of velocity and temperature, and their turbulent characteristics. The results of numerical studies show that zero-equation models under the condition of the constant turbulent Prandtl number are not able to reproduce the character of the temperature field in the separation zone, and complex models provide more accurate predictions not only for the temperature field but also for the distribution of the heat transfer coefficient on the surface with a rib.
References
[1] Shishov E.V. Turbulent heat and momentum transfer in boundary layers under strong pressure gradient conditions: Analysis of experimental data and numerical prediction. Experimental thermal and fluid science, 1991, vol. 4, iss. 4, pp. 389–398.
[2] Leont’yev A.I., Shishov E.V., Gerasimov A.V. The «k–ε» turbulence model for calculating the hydrodynamic and temperature fields of gradient near-wall flows. Proceedings of Higher Educational Institutions. Маchine Building, 1999, no. 5–6, pp. 5–19 (in Russ.).
[3] Leont’ev A.I., Shishov E.V., Zaharov A.Yu. Modelirovanie perenosa teploty i impul’sa v otryvnom techenii za obratnym ustupom [Simulation of heat and momentum transfer in the separated flow behind the back ledge]. DAN [Academy of Sciences reports]. 1995, vol. 341, no. 3, pp. 763–767.
[4] Rhee G.H., Sung H.J. A nonlinear low-Reynolds number heat transfer model for turbulent separated and reattaching flows. International journal of heat and mass transfer, 2000, vol. 43, iss. 8, pp. 1439–1448.
[5] Abe K., Suga K. Towards the development of a Reynolds-averaged algebraic turbulent scalar-flux model. International Journal of Heat and Fluid Flow, 2001, vol. 22, iss. 1, pp. 19–29.
[6] Mazaheri K., Chaharlang K.K., Karimi M. A modified turbulent heat-flux model for predicting heat transfer in separating-reattaching flows and film cooling. Applied Thermal Engineering, 2016, vol. 110, pp. 1609–1623.
[7] Younis B.A., Weigand B., Spring S. An explicit algebraic model for turbulent heat transfer in wall-bounded flow with streamline curvature. ASME. Journal of Heat Transfer, 2007, vol. 129, iss. 4, pp. 425–433.
[8] Kim J., Moin P. Transport of passive scalars in a turbulent channel flow. In Turbulent Shear Flows 6, Springer, 1989, pp. 85–96, doi: https://doi.org/10.1007/978-3-642-73948-4_9
[9] Debusschere B., Rutland C. Turbulent scalar transport mechanisms in plane channel and Couette flows. International Journal of Heat and Mass Transfer, 2004, vol. 47, iss. 8–9, pp. 1771–1781.
[10] Abe K., Kondoh T., Nagano Y. A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flows–II. Thermal field calculations. International Journal of Heat and Mass Transfer, 1995, vol. 38, iss. 8, pp. 1467–1481.
[11] Sommer T., So R., Zhang H. Near-Wall Variable Prandtl-Number Turbulence Model for Compressible Flows. AIAA Journal, 1993, vol. 31, no. 1, pp. 27–35.
[12] Brinckman K.W., Calhoon W.H., Dash S.M. Scalar fluctuation modeling for high-speed aeropropulsive flows. AIAA Journal, 2007, vol. 45, no. 5, pp. 1036–1046.
[13] Dietz C.F., Neumann S.O., Weigand B. A comparative study of the performance of explicit algebraic models for the turbulent heat flux. Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology, 2007, vol. 52, iss. 2, pp. 101–126.
[14] Weihing P., Younis B.A., Weigand B. Heat transfer enhancement in a ribbed channel: Development of turbulence closures. International Journal of Heat and Mass Transfer, 2014, vol. 76, pp. 509–522.
[15] ANSYS. Fluent 17.2 Theory Guide. ANSYS Fluent Inc., Canonsburg, PA, 2016. Available at: https://www.sharcnet.ca/Software/Ansys/17.2/en-us/help/flu_th/th-x1-20001.1.html (accessed 30 March 2018).
[16] Belov I.A., Isaev S.A., Korobkov V.A. Zadachi i metody rascheta otryvnyh techeniy neszhimaemoy zhidkosti [Problems and methods of calculation of separated incompressible fluid flows]. Leningrad, Sudostroenie publ., 1989. 256 p.
[17] Afanas’ev V.N., Trifonov V.L., Getya S.I., Kon Dekhay. Vystup v turbulentnom pogranichnom sloe [Rib in Turbulent Boundary Layer]. Mashinostroenie i komp’yuternye tekhnologii [Mechanical engineering and computer science]. 2017, no. 10, pp. 13–35.
[18] Afanasiev V.N., Kong D.H. Rectangular ribs in turbulent boundary layer on the initially smooth surface. Journal of Physics: Conference Series, 2017, vol. 891, art. no. 012140, doi: 10.1088/1742-6596/891/1/012140
[19] Launder B.E. Modelling convective heat transfer in complex turbulent flows. Engineering Turbulence Modelling and Experiments – Proc. Second Int. Symp. on Engineering Turbulence Modelling and Measurements, 31 May–2 June 1993, Florence, Italy, Elsevier Science, 1993, pp. 3–22.
[20] Lien F.S., Chen W.L., Leschziner M.A. Low Reynolds-number eddy-viscosity modeling based on non-linear stress-strain/vorticity relations. Engineering Turbulence Modeling and Experiments, 1996, vol. 3, pp. 91–100.
[21] Lien F.S., Leschziner M.A. Assessment of turbulent transport models including non-linear RNG eddy-viscosity formulation and second-moment closure. Computers & Fluids, 1994, vol. 23, no. 8, pp. 983–1004.
[22] Gibson M., Launder B. Ground effects on pressure fluctuations in the atmospheric boundary layer. Journal of Fluid Mechanics, 1978, vol. 86, no. 03, pp. 491–511.
[23] Launder B.E., Shima N. Second-moment closure for the near-wall sublayer development and application. AIAA Journal, 1989, vol. 27, no. 10, pp. 1319–1325.
[24] Batchelor G.K. Diffusion in a field of homogenous turbulence. Eulerian Analysis. Australian Journal of Scientific Research, 1949, vol. 2, pp. 437–450.