Assessment of the modified rotation/curvature correction SST turbulence model for simulating swirling reacting unsteady flows in a solid-fuel ramjet engine

Abstract The present paper presents an assessment of the performance of the modified curvature-correction shear stress transport turbulence model (SST-CCM) proposed by Omer Musa et al. (2016) [12], for simulating swirling reacting unsteady flow in a solid-fuel ramjet engine. Results are compared to both the original SST and rotation-curvature SST (SST-RC) turbulence models. First, a numerical model has been developed to solve axisymmetric unsteady Reynolds-averaged Navier-Stokes equations of the turbulent swirling compressible flow field with chemical reactions. Second, in order to evaluate the accuracy and robustness of the code, experiment on the solid-fuel ramjet without swirl has been performed and simulation on Shock-induced combustion benchmark case is carried out as well. Finally, unsteady simulations are carried out for reacting turbulent flows in a solid-fuel ramjet using Polyethylene (PE) solid fuel with three different turbulence models. It is found that in terms of accuracy for simulating reacting swirling flows the modified model slightly improves the original SST model and is quite similar to the SST-RC.

[1]  Cheng Zhu,et al.  Simulation of Swirling Turbulent Flow and Combustion in a Combustor , 2009 .

[2]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[3]  Zhi J. Wang,et al.  A block LU-SGS implicit dual time-stepping algorithm for hybrid dynamic meshes , 2003 .

[4]  W. Malalasekera,et al.  Effects of Swirl on Intermittency Characteristics in Non-Premixed Flames , 2012 .

[5]  Zhaofeng Tian,et al.  CFD Simulations of Turbulent Flows in a Twin Swirl Combustor by RANS and Hybrid RANS/LES Methods☆ , 2015 .

[6]  D. Metzger,et al.  Measurements in turbulent swirling flow through an abrupt axisymmetric expansion , 1988 .

[7]  K. Kuo Principles of combustion , 1986 .

[8]  G. D. van Albada,et al.  A comparative study of computational methods in cosmic gas dynamics , 1982 .

[9]  X. Xia,et al.  Analysis on transient conjugate heat transfer in gap–cavity–gap structure heated by high speed airflow , 2013 .

[10]  N. Gascoin,et al.  Flash Pyrolysis of High Density PolyEthylene , 2013 .

[11]  Jiri Blazek,et al.  Computational Fluid Dynamics: Principles and Applications , 2001 .

[12]  Philip J. Smith,et al.  Modeling of swirl in turbulent flow systems , 1986 .

[13]  Dinggen Li,et al.  Combustion characteristics of a slotted swirl combustor: An experimental test and numerical validation , 2015 .

[14]  Jian Zhang,et al.  Simulation of Turbulent Reacting Flow in a Swirl Combustor , 2007 .

[15]  C. H. Priddin,et al.  The calculation of turbulent boundary layers on spinning and curved surfaces , 1977 .

[16]  R. N. Walters,et al.  Determination of the heats of gasification of polymers using differential scanning calorimetry , 2008 .

[17]  F. Menter Improved two-equation k-omega turbulence models for aerodynamic flows , 1992 .

[18]  Robert A. Baurle,et al.  A numerical and experimental investigation of a scramjet combustor for hypersonic missile applications , 1998 .

[19]  Ahmed F. Ghoniem,et al.  Flame macrostructures, combustion instability and extinction strain scaling in swirl-stabilized premixed CH4/H2 combustion , 2016 .

[20]  Antti Hellsten,et al.  Some improvements in Menter's k-omega SST turbulence model , 1998 .

[21]  S. V. Patankar,et al.  Flow Prediction in Rotating Ducts Using Coriolis-Modified Turbulence Models , 1980 .

[22]  D. Wilcox Multiscale model for turbulent flows , 1986 .

[23]  Florian R. Menter,et al.  Sensitization of the SST Turbulence Model to Rotation and Curvature by Applying the Spalart–Shur Correction Term , 2009 .

[24]  Renfu Li,et al.  Experimental study and RANS calculation on velocity and temperature of a kerosene-fueled swirl laboratory combustor with and without centerbody air injection , 2015 .

[25]  Comparative Study of k-epsilon Turbulence Models in Inert and Reacting Swirling Flows , 2003 .

[26]  Yong Yang,et al.  A new simpler rotation/curvature correction method for Spalart–Allmaras turbulence model , 2013 .

[27]  N. Chigier,et al.  Nonisotropic turbulent stress distribution in swirling flows from mean value distributions , 1971 .

[28]  Main flow characteristics in a lean premixed swirl stabilized gas turbine combustor – Numerical computations , 2013 .

[29]  C. J. Schexnayder,et al.  Influence of Chemical Kinetics and Unmixedness on Burning in Supersonic Hydrogen Flames , 1980 .

[30]  M. Ohtsuka Numerical analysis of swirling non-reacting and reacting flows by the Reynolds stress differential method , 1995 .

[31]  Oh-Hyun Rho,et al.  Methods for the accurate computations of hypersonic flows: I. AUSMPW + scheme , 2001 .

[32]  P. Spalart,et al.  Turbulence Modeling in Rotating and Curved Channels: Assessing the Spalart-Shur Correction , 2000 .

[33]  Rachid Said,et al.  Numerical Study of the Swirl Effect on a Coaxial Jet Combustor Flame Including Radiative Heat Transfer , 2009 .

[34]  R. So,et al.  On the modelling of scalar and mass transport in combustor flows , 1989 .

[35]  Chen Xiong,et al.  Prediction of swirling cold flow in a solid-fuel ramjet engine with a modified rotation/curvature correction SST turbulence model , 2016 .

[36]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[37]  R. Pein,et al.  Swirl and fuel composition effects on boron combustion in solid-fuelramjets , 1992 .

[38]  William H. Campbell An Experimental Investigation of the Effects of Swirling Air Flows on the Combustion Properties of a Solid Fuel Ramjet Motor. , 1985 .

[39]  T. Poinsot,et al.  Theoretical and numerical combustion , 2001 .

[40]  W. P. Jones,et al.  Calculation of Confined Swirling Flows With a Second Moment Closure , 1989 .

[41]  P. Bradshaw,et al.  The analogy between streamline curvature and buoyancy in turbulent shear flow , 1969, Journal of Fluid Mechanics.

[42]  Wright-Patterson Afb,et al.  Kinetic Modeling of Ethylene Oxidation in High Speed Reacting Flows , 1997 .

[43]  H. Lehr,et al.  Experiments on Shock-Induced Combustion , 1972 .

[44]  Omer Musa Verification Study of a CFD-RANS Code for Turbulent Flow at High Reynolds Numbers , 2016 .

[45]  P. Spalart,et al.  On the sensitization of turbulence models to rotation and curvature , 1997 .

[46]  M. Birouk,et al.  Assessment of the Performances of RANS Models for Simulating Swirling Flows in a Can-Combustor , 2008 .

[47]  Robert J. Kee,et al.  CHEMKIN-III: A FORTRAN chemical kinetics package for the analysis of gas-phase chemical and plasma kinetics , 1996 .

[48]  A. Hoegl,et al.  Measurement in a solid fuel ramjet combustion with swirl , 1988 .

[49]  C. Cortés,et al.  Prediction of Flow Instabilities in an Atmospheric Low Swirl Burner Using URANS Models , 2012 .

[50]  B. Noll,et al.  RANS and LES of Turbulent Mixing in Confined Swirling and Non-Swirling Jets , 2011 .

[51]  P. G. Hill,et al.  Computer simulation of turbulent swirling flows , 1990 .

[52]  Doyle Knight,et al.  Turbulence model predictions for flows with significant mean streamline curvature , 1978 .

[53]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .