Simulation of Coupled Unsteady Flow and Heat Conduction in Turbine Stage

Sondak, Douglas L.; Dorney, Daniel J.

doi:10.2514/2.5689

Cited by 22 publications

(14 citation statements)

References 6 publications

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“…In 1999, Martin et al [1] developed a sequential conjugate strategy, by which a code for gas flow field computation and another one for solving heat conduction in solid blade was combined through an inner iteration process. This method taking advantage of available single-filed solvers had then been promptly adopted by some investigations [2][3][4][5][6], most of which used mature parabolic or elliptic equation solvers based on finite element (FE) methods in the solid domain. Meanwhile, partially aiming at enhancing the stability of the algorithm, the direct or full conjugate strategy [7][8][9][10][11] that integrates the governing equations in both fluid and solid domains using a single code also began to be developed and applied.…”

Section: Introductionmentioning

confidence: 99%

The Application of Discontinuous Galerkin Methods in Conjugate Heat Transfer Simulations of Gas Turbines

Hao

Ren

2014

Energies

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Abstract:The performance of modern heavy-duty gas turbines is greatly determined by the accurate numerical predictions of thermal loading on the hot-end components. The purpose of this paper is: (1) to present an approach applying a novel numerical technique-the discontinuous Galerkin (DG) method-to conjugate heat transfer (CHT) simulations, develop the engineering-oriented numerical platform, and validate the feasibility of the methodology and tool preliminarily; and (2) to utilize the constructed platform to investigate the aerothermodynamic features of a typical transonic turbine vane with convection cooling. Fluid dynamic and solid heat conductive equations are discretized into explicit DG formulations. A centroid-expanded Taylor basis is adopted for various types of elements. The Bassi-Rebay method is used in the computation of gradients. A coupled strategy based on a data exchange process via numerical flux on interface quadrature points is simply devised. Additionally, various turbulence Reynolds-Averaged-Navier-Stokes (RANS) models and the local-variable-based transition model γ-Reθ are assimilated into the integral framework, combining sophisticated modelling with the innovative algorithm. Numerical tests exhibit good consistency between computational and analytical or experimental results, demonstrating that the presented approach and tool can handle well general CHT simulations. Application and analysis in the turbine vane, focusing on features around where OPEN ACCESSEnergies 2014, 7 7858 there in cluster exist shock, separation and transition, illustrate the effects of Bradshaw's shear stress limitation and separation-induced-transition modelling. The general overestimation of heat transfer intensity behind shock is conjectured to be associated with compressibility effects on transition modeling. This work presents an unconventional formulation in CHT problems and achieves its engineering applications in gas turbines.

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Section: Introductionmentioning

confidence: 99%

The Application of Discontinuous Galerkin Methods in Conjugate Heat Transfer Simulations of Gas Turbines

Hao

Ren

2014

Energies

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“…Janus and Newman [5] coupled aerodynamic and thermal effects for an optimization study of turbine airfoil design. Sondak and Dorney [6] investigated coupled unsteady flow and heat conduction for a turbine stage. Tiwari and Pidugu [7] coupled convection and radiation heat transfer models to investigate radiation-chemistry interactions in expanding nozzle flows.…”

Section: A Brief Review Of Previous Workmentioning

confidence: 99%

Coupling Heat Transfer and Fluid Flow Solvers for Multidisciplinary Simulations

Liu

Luke

Cinnella

2005

Journal of Thermophysics and Heat Transfer

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The purpose of this study is to build, test, validate, and implement two heat transfer models, and couple them to an existing fluid flow solver, which can then be used for simulating multi-disciplinary problems. The first model is for heat conduction computations, the other one is a quasi-one-dimensional cooling channel model for water-cooled jacket structural analysis. The first model employs the integral, conservative form of the thermal energy equation, which is discretized by means of a finite-volume numerical scheme. A special algorithm is developed at the interface between the solid and fluid regions, in order to keep the heat flux consistent. The properties of the solid region materials can be temperature dependent, and different materials can be used in different parts of the domains, thanks to a multi-block gridding strategy. The cooling channel flow model is developed by using quasi-one-dimensional conservation laws of mass, momentum, and energy, taking into account the effects of heat transfer and friction. It is possible to have phase changes in the channel, and a mixture model is applied, which allows two phases to be present, as long as they move at the same bulk velocity and vapor quality does not exceed relatively small values. The coupling process of both models (with the fluid solver and with each other) is handled within the Loci system, and is detailed in this study. A hot-air nozzle wall problem is simulated, and the computed results are validated with available experimental data. Finally, a more complex case involving the water-cooled nozzle of a Rocket Based Combined Cycle(RBCC) gaseous oxygen/gaseous hydrogen thruster is simulated, which involves all three models, fully coupled.The calculated temperatures in the nozzle wall and at the cooling channel outlet compare favorably with experimental data.

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“…The thermal interaction between fluid and solid domains is important in a wide range of multiphysics problems, such as heating of vehicles in hypersonic flow [1], heating and cooling of turbine blades in jet engines [2,3], thermoelastic deformation of a structure due to aerodynamic heating [4], and the ignition of solid propellants in rockets [5,6]. A key component of fluid-structure interaction (FSI) problems is the algorithm used for coupling the domains along the interface.…”

Section: Introductionmentioning

confidence: 99%

Stability of fluid–structure thermal simulations on moving grids

Roe

Haselbacher

Geubelle

2007

Numerical Methods in Fluids

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SUMMARYThis article analyses the stability of a thermally coupled fluid-structure interaction problem with a moving interface. Two types of fluid and structural discretizations are investigated: finite-difference/finite-difference as well as the more traditional finite-volume/finite-element (FV/FE) configuration. In either case, the material properties and grid spacing are treated as uniform within each domain. A theoretical stability analysis and corresponding numerical tests show that greater stability is associated with the algorithm in which the fluid domain is passed a Dirichlet condition and the solid domain a von Neumann condition and that the stability of the coupled scheme may be strongly affected by the interface velocity. Furthermore, it shows that the interface velocity has a larger destabilizing effect on the FV/FE discretization than on a finite-difference/finite-difference discretization.

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Simulation of Coupled Unsteady Flow and Heat Conduction in Turbine Stage

Cited by 22 publications

References 6 publications

The Application of Discontinuous Galerkin Methods in Conjugate Heat Transfer Simulations of Gas Turbines

The Application of Discontinuous Galerkin Methods in Conjugate Heat Transfer Simulations of Gas Turbines

Coupling Heat Transfer and Fluid Flow Solvers for Multidisciplinary Simulations

Stability of fluid–structure thermal simulations on moving grids

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