Simulation of 3-D Viscous Compressible Flow in Multistage Turbomachinery by Finite Element Methods PDF Download
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Languages : en
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Languages : en
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Author: Mohamad Sleiman
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Category : Compressibility
Languages : en
Pages : 0
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The flow in a multistage turbomachinery blade row is compressible, viscous, and unsteady. Complex flow features such as boundary layers, wake migration from upstream blade rows, shocks, tip leakage jets, and vortices interact together as the flow convects through the stages. These interactions contribute significantly to the aerodynamic losses of the system and degrade the performance of the machine. The unsteadiness also leads to blade vibration and a shortening of its life. It is therefore difficult to optimize the design of a blade row, whether aerodynamically or structurally, in isolation, without accounting for the effects of the upstream and downstream rows. The effects of axial spacing, blade count, clocking (relative position of follow-up rotors with respect to wakes shed by upstream ones), and levels of unsteadiness may have a significance on performance and durability. In this Thesis, finite element formulations for the simulation of multistage turbomachinery are presented in terms of the Reynolds-averaged Navier-Stokes equations for three-dimensional steady or unsteady, viscous, compressible, turbulent flows. Three methodologies are presented and compared. First, a steady multistage analysis using a a-mixing-plane model has been implemented and has been validated against engine data. For axial machines, it has been found that the mixing plane simulation methods match very well the experimental data. However, the results for a centrifugal stage, consisting of an impeller followed by a vane diffuser of equal pitch, show flagrant inconsistency with engine performance data, indicating that the mixing plane method has been found to be inappropriate for centrifugal machines. Following these findings, a more complete unsteady multistage model has been devised for a configuration with equal number of rotor and stator blades (equal pitches). Non-matching grids are used at the rotor-stator interface and an implicit interpolation procedure devised to ensure continuity of fluxes across. This permits the rotor and stator equations to be solved in a fully-coupled manner, allowing larger time steps in attaining a time-periodic solution. This equal pitch approach has been validated on the complex geometry of a centrifugal stage. Finally, for a stage configuration with unequal pitches, the time-inclined method, developed by Giles (1991) for 2-D viscous compressible flow, has been extended to 3-D and formulated in terms of the physical solution vector U, rather than Q, a non-physical one. The method has been evaluated for unsteady flow through a rotor blade passage of the power turbine of a turboprop.
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Category : Aeronautics
Languages : en
Pages : 702
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Author: Daniel L. Tweedt
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Category : Fluid dynamics
Languages : en
Pages : 32
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Category : Mechanical engineering
Languages : en
Pages : 502
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Author: Xiao Wang
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Category : Algorithms
Languages : en
Pages :
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The MSU TURBO code, distributed to U.S. engine companies by NASA Glenn, is a heavily used parallel compressible Reynolds-averaged Navier-Stokes flow solver for multistage turbomachinery flows, primarily for compressible flows at subsonic and transonic speeds. Many low speed turbomachinery flows in aerial vehicles or marine propulsion systems can not be effectively addressed by compressible flow solvers. It is well known that compressible flow equations face difficulties at low Mach number due to the large disparity of the acoustic and convective wave speeds. The current study is to develop and implement the computational capability for flow simulations at low Mach number, or incompressible Mach regime, under the framework of the MSU TURBO code. This is accomplished by applying a global preconditioning scheme to the unsteady term of the compressible governing equations and solving the conservative Riemann flux based on primitive variables. The preconditioning scheme is a single parameter diagonal matrix depending on a reference Mach number which represents the global flow properties in the flow simulation. For flows in rotating machines where speed varies along the radial direction from the axis of the rotation, it is found that a modified preconditioning parameter is necessary to assure numerical stability in simulating low Mach number rotating flows. The effectiveness of the modified preconditioning scheme has been analyzed, under various flow conditions, through Fourier footprints and validated by numerical investigations. The development of a preconditioned structured turbomachinery flow solver was accomplished in this dissertation. The conservative form of the governing equations were cast in the non-inertial relative rotating frame in terms of primitive variables and absolute velocity vectors. Characteristic-based boundary conditions, with implicit treatment of the source term resulting from the rotating relative frame, are derived for internal and external flows. The implicit finite volume scheme is developed for the preconditioned scheme with the flux Jacobians evaluated by either a flux approximate method or flux-vector-splitting. The viscous flux is also treated implicitly, and an analytic form of viscous flux Jacobians was developed in the preconditioned flow solver to reduce numerical uncertainties, and computing time. A series of flow simulations have been carried out by this preconditioned unsteady turbomachinery flow solver. The simulations of viscous boundary layer development over flat plates at very low Mach numbers demonstrate the effectiveness of the preconditioning algorithm. Computations of compressor rotor, and rotor/stator at subsonic, and transonic flow regions with acceptable results indicate that the preconditioned TURBO solver is compatible with the compressible version of the TURBO solver for subsonic and transonic flows. Moderate improvement in numerical convergence for flows in a rotating frame with mixed flow speeds is observed in the case of a tiltrotor blade at hover. The marine propeller simulation demonstrates the accomplishment of the preconditioned TURBO solver for an incompressible flow simulation. In the simulation of a low speed centrifugal compressor, the preconditioned TURBO is able to predicate the wake locations accurately.
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Category : Aeronautics
Languages : en
Pages : 538
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Category : Mechanical engineering
Languages : en
Pages : 488
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Category : Mechanics, Applied
Languages : en
Pages : 400
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Author: Torsten H. Fransson
Publisher: Springer Science & Business Media
ISBN: 9401150400
Category : Science
Languages : en
Pages : 835
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Twenty-one years have passed since the first symposium in this series was held in Paris (1976). Since then there have been meetings in Lausanne (1980), Cambridge (1984), Aachen (1987), Beijing (1989), Notre Dame (1991) and Fukuoka (1994). During this period a tremendous development in the field of unsteady aerodynamics and aeroelasticity in turbomachines has taken place. As steady-state flow conditions become better known, and as blades in the turbomachine are constantly pushed towards lower weight, and higher load and efficiency, the importance of unsteady phenomena appear more clearly. th The 8 Symposium was, as the previous ones, of high quality. Furthermore, it presented the audience with the latest developments in experimental, numerical and theoretical research. More papers than ever before were submitted to the conference. As the organising committee wanted to preserve the uniqueness of the symposium by having single sessions, and thus mingle speakers and audience with different backgrounds in this interdisciplinary field, only a limited number of papers could be accepted. 54 papers were accepted and presented at the meeting, all of which are included in the present proceedings.
