Application of a sensitivity equation method to the k–ε model of turbulence

Turgeon, É.; Pelletier, Dominique; Borggaard, Jeff; Étienne, Stéphane

doi:10.1007/s11081-007-9003-5

Cited by 19 publications

(18 citation statements)

References 34 publications

(32 reference statements)

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“…The two transport equations comprised of the model, model and algebraic stress model were used to estimate Reynolds stresses. The model focused on effects of the turbulent kinetic energy [6,7]. In the model, the turbulent kinetic energy was the product of a velocity scale and a length scale which happened into the rotational flow structure [8].…”

Section: Introductionmentioning

confidence: 99%

Comparison of Turbulence Models for Flow Past NACA0015 Airfoil Using OpenFOAM

Suvanjumrat¹

2017

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Abstract. The open source code software, OpenFOAM, was applied for simulating flow past NACA0015 airfoil. Three economical turbulence models for aerospace applications were selected comprising Spalart-Allmaras model, Wilcox model and Menter SST model, respectively. The non-dimension y + was used to analyze the near-wall flow. The C-type domain for airfoil simulation was considered for an appropriate dimension to protect the effect of boundary conditions. The zero pressure gradient problem of the pressure-velocity coupling was used an effective algorithm, SIMPLE, for solving. The central differencing, upwind differencing, and linear upwind differencing (LUD) scheme were used to solve the convection-diffusion equation of the flow past airfoil. The simulation results included lift coefficient (CL) and drag coefficient (CD) were obtained from this computational fluid dynamics (CFD) method. The turbulence models had been validated to the physical experiment. The wind tunnel was set up to test the flow past NACA0015 airfoil. The Reynolds number (Re) at 160,000 and 360,000 were controlled in order that the NACA0015 airfoil with the large range angle of attack from 0 to 20 degrees was immersed in the low wind speeds and turbulent flow. The suitable turbulence model was the Menter SST model which employed SIMPLE algorithm and LUD scheme for solving. These CFD results lower the stall angle of attack had the average errors of CL and CD with were less than 13.15% and 22.36%, respectively.

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Section: Introductionmentioning

confidence: 99%

Comparison of Turbulence Models for Flow Past NACA0015 Airfoil Using OpenFOAM

Suvanjumrat¹

2017

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“…The turbulence model was necessary to be developed for predicting and obtaining results which were close to the mean flow equation [5]. The model was the two additional transport equations and the most widely used turbulence models to predict Reynolds stresses which focused on the turbulent kinetic energy effects [6][7][8]. Particularly, the CFD of flow simulation inside the ovens preferred to use the model to other turbulence models.…”

Section: Introductionmentioning

confidence: 99%

Implementation and Validation of OpenFOAM for Thermal Convection of Airflow

Suvanjumrat¹

2017

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Abstract. The open source code software (OpenFOAM) was applied to simulate the thermal convection of airflow. The fresh inlet airflow past a circular cylindrical heater through the variable cross-section duct by the centrifugal fan had been employed to study the thermal convection phenomenon. The widely used turbulence model was implemented to simulate the thermal convection of airflow. The pressure-velocity coupling was used an effective steady state algorithm, SIMPLE algorithm, for solving a zero pressure gradient problem. The upwind differencing (UD), linear upwind differencing (LUD), QUICK, and TVD scheme were the important schemes which were selected to solve convection-diffusion problems of the airflow past a circular cylindrical heater. The thermal convection experiment was setup using the P3210 heat transfer bench of Cussons technology. The velocities of airflow had been adjusted from 5 to 20 m/s by opening a cap at the exhaust fan duct. The heater temperatures were controlled at 100, 150 and 200 °C. The computational fluid dynamics (CFD) results were compared with the experimental data. The comparison between CFD models and physical experiments were in good agreement. The average error of the turbulence model by solving with the SIMPLE algorithm, UD scheme for velocity, and QUICK scheme for temperature results was less than 4.25 % when compared with the experimental data.

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“…Sensitivities for incompressible flows with heat transfer may be found in several references [6,[16][17][18]. Sensitivity analysis for turbulence models is detailed in the works by Godfrey and Cliff [12] and Turgeon et al [19,20]. Solution of the sensitivity equations for the transient incompressible flow of non-Newtonian fluids is presented by Ilinca and Hétu [21].…”

Section: Introductionmentioning

confidence: 99%