A three-dimensional inverse method using navier—stokes equations for turbomachinery blading

Wang, Zhengming; Cai, Ruixian; Chen, Hongji; Jia, Xiaoyun

doi:10.1080/174159700088027746

Cited by 6 publications

(12 citation statements)

References 10 publications

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“…A consequence is that the obtained design may perform well at this design point, but the performance may degrade (rapidly) when the centrifugal pump or fan is operated at conditions (flowrate Q or angular speed ) that deviate from the design conditions. To alleviate this situation, the method for solving the inverse problem could be employed as part of an optimization method, in which blade geometries under consideration are solutions of the inverse problem (see for example [27,42]). In this hybrid manner (combining solutions of inverse problems with results of optimization methods) the performance at off-design conditions may be taken into account in the design process.…”

Section: Discussionmentioning

confidence: 99%

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On the inverse problem of blade design for centrifugal pumps and fans

Kruyt

Westra

2014

Inverse Problems

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The inverse problem of blade design for centrifugal pumps and fans has been studied. The solution to this problem provides the geometry of rotor blades that realize specified performance characteristics, together with the corresponding flow field. Here a three-dimensional solution method is described in which the so-called meridional geometry is fixed and the distribution of the azimuthal angle at the three-dimensional blade surface is determined for blades of infinitesimal thickness. The developed formulation is based on potential-flow theory. Besides the blade impermeability condition at the pressure and suction side of the blades, an additional boundary condition at the blade surface is required in order to fix the unknown blade geometry. For this purpose the mean-swirl distribution is employed. The iterative numerical method is based on a three-dimensional finite element method approach in which the flow equations are solved on the domain determined by the latest estimate of the blade geometry, with the mean-swirl distribution boundary condition at the blade surface being enforced. The blade impermeability boundary condition is then used to find an improved estimate of the blade geometry. The robustness of the method is increased by specific techniques, such as spanwise-coupled solution of the discretized impermeability condition and the use of underrelaxation in adjusting the estimates of the blade geometry. Various examples are shown that demonstrate the effectiveness and robustness of the method in finding a solution for the blade geometry of different types of centrifugal pumps and fans. The influence of the employed mean-swirl distribution on the performance characteristics is also investigated.

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Section: Discussionmentioning

confidence: 99%

“…that the flow incidence is zero, and that the Kutta conditions, equation ( 18), are satisfied. These conditions are satisfied [4,42] when…”

Section: Mean-swirl Distributionmentioning

confidence: 94%

On the inverse problem of blade design for centrifugal pumps and fans

Kruyt

Westra

2014

Inverse Problems

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“…The Laplace transform method, the finite element method in conjunction with the least-squares method was employed by Chen and Chang [1] to estimate surface heat flux/ temperature from measured temperature inside the solid in an inverse heat conduction problem. Wang et al [2] have carried out an inverse analysis for turbomachinery blading. Liu and Jiang [3] reconstructed temperature profiles in flames in a combustion study.…”

Section: Introductionmentioning

confidence: 99%

Retrieval of thermal properties in a transient conduction–radiation problem with variable thermal conductivity

Das

Mishra

Uppaluri

2009

International Journal of Heat and Mass Transfer

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“…They are mathematically ill posed and accuracy of their solution depends on the measured data. Inverse problems find applications in many areas of engineering such as material science [1], circuit analysis [2], turbomachinery [3], manufacturing science [4], and design of radiant enclosures [5].…”

Section: Introductionmentioning

confidence: 99%

An Inverse Analysis for Parameter Estimation Applied to a Non-Fourier Conduction–Radiation Problem

Das

Mishra

Kumar

et al. 2011

Heat Transfer Engineering

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Retrieval of parameters in a non-Fourier conduction and radiation heat transfer problem is reported. The direct problem is formulated using the lattice Boltzmann method (LBM) and the finite-volume method (FVM). The divergence of radiative heat flux is computed using the FVM, and the LBM formulation is employed to obtain the temperature field. In the inverse method, this temperature field is taken as exact. Simultaneous estimation of parameters, namely, the extinction coefficient and the conduction-radiation parameter, is done by minimizing the objective function. The genetic algorithm (GA) is used for this purpose. The accuracies of the estimated parameters are studied for the effects of measurement errors and genetic parameters such as the crossover and mutation probabilities, the population size, and the number of generations. The LBM-FVM in combination with GA has been found to provide a correct estimate of parameters.

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A three-dimensional inverse method using navier—stokes equations for turbomachinery blading

Cited by 6 publications

References 10 publications

On the inverse problem of blade design for centrifugal pumps and fans

On the inverse problem of blade design for centrifugal pumps and fans

Retrieval of thermal properties in a transient conduction–radiation problem with variable thermal conductivity

An Inverse Analysis for Parameter Estimation Applied to a Non-Fourier Conduction–Radiation Problem

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