Proper Orthogonal Decomposition of Unsteady Heat Transfer from Staggered Cylinders at Moderate Reynolds Numbers

2009 ◽  
pp. 763-769 ◽  
Author(s):  
Sirod Sirisup ◽  
Saifhon Tomkratoke
Keyword(s):  
Heat Transfer ◽  
Proper Orthogonal Decomposition ◽  
Reynolds Numbers ◽  
Orthogonal Decomposition ◽  
Unsteady Heat Transfer ◽  
Proper Orthogonal

Modeling and Inverse Design of Convective Heat Transfer in a Grooved Channel Using Proper Orthogonal Decomposition

2009 ◽  
Author(s):  
Hasan Gunes ◽  
Sertac Cadirci
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Reynolds Number ◽  
Proper Orthogonal Decomposition ◽  
Convective Heat Transfer ◽  
Orthogonal Decomposition ◽  
Inverse Design ◽  
Heat Sources ◽  
Design Problems ◽  
Proper Orthogonal

In this study we show that the POD can be used as a useful tool to solve inverse design problems in thermo-fluids. In this respect, we consider a forced convection problem of air flow in a grooved channel with periodically mounted constant heat-flux heat sources. It represents a cooling problem in electronic equipments where the coolant is air. The cooling of electronic equipments with constant periodic heat sources is an important problem in the industry such that the maximum operating temperature must be kept below a value specified by the manufacturer. Geometric design in conjunction with the improved convective heat transfer characteristics is important to achieve an effective cooling. We obtain a model based on the proper orthogonal decomposition for the convection optimization problem such that for a given channel geometry and heat flux on the chip surface, we search for the minimum Reynolds number (i.e., inlet flow speed) for a specified maximum surface temperature. For a given geometry (l = 3.0 cm and h = 2.3 cm), we obtain a proper orthogonal decomposition (POD) model for the flow and heat transfer for Reynolds number in the range 1 and 230. It is shown that the POD model can accurately predict the flow and temperature field for off-design conditions and can be used effectively for inverse design problems.

scholarly journals Efficient numerical analysis of transient heat transfer by Consecutive-Interpolation and Proper Orthogonal Decomposition

2019 ◽  
Vol 20 (K9) ◽  
pp. 5-14
Author(s):  
Nguyen Ngoc Minh ◽  
Nguyen Thanh Nha ◽  
Truong Tich Thien ◽  
Bui Quoc Tinh
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Proper Orthogonal Decomposition ◽  
Accurate Solution ◽  
Orthogonal Decomposition ◽  
Transient Heat Transfer ◽  
Computational Time ◽  
Gradient Fields ◽  
Order Increase ◽  
Proper Orthogonal

The consecutive-interpolation technique has been introduced as a tool enhanced into traditional finite element procedure to provide higher accurate solution. Furthermore, the gradient fields obtained by the proposed approach, namely consecutive-interpolation finite element method (CFEM), are smooth, instead of being discontinuous across nodes as in FEM. In this paper, the technique is applied to analyze transient heat transfer problems. In order increase time efficiency, a model- reduction technique, namely the proper orthogonal decomposition (POD), is employed. The idea is that a given large-size problem is projected into a small-size one which can be solved faster but still maintain the required accuracy. The optimal POD basis for projection is determined by mathematical operations. With the combination of the two novel techniques, i.e. consecutive-interpolation and proper orthogonal decomposition, the advantages of numerical solution obtained by CFEM are expected to be maintained, while computational time can be significantly saved.

Characteristics of Turbulent Three-Dimensional Wall Jets

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
M. Agelin-Chaab ◽  
M. F. Tachie
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Three Dimensional ◽  
Reynolds Numbers ◽  
Orthogonal Decomposition ◽  
The Self ◽  
Shear Stresses ◽  
Spread Rate ◽  
Similar Region ◽  
Self Similar ◽  
Proper Orthogonal

Three-dimensional turbulent wall jet was investigated using a particle image velocimetry technique. Three Reynolds numbers based on the jet exit velocity and diameter of 5000, 10,000, and 20,000 were studied. Profiles of the mean velocities, turbulence intensities, and Reynolds shear stresses as well as two-point velocity correlations and proper orthogonal decomposition analyses were used to document the salient features of the wall jets. The decay and spread rates are independent of Reynolds numbers in the self-similar region. The estimated values of 1.15, 0.054, and 0.255 for the decay rate, wall-normal spread rate, and lateral spread rate, respectively, are within the range of values reported in the literature. The two-point correlation analysis showed that the inclination of the streamwise velocity correlation contours in the inner layer is 11±3 deg in the wall region, which is similar to those of canonical turbulent boundary layers. The results from the proper orthogonal decomposition indicate that low-order modes contribute more to the turbulence statistics in the self-similar region than in the developing region. The Reynolds shear stresses are the biggest benefactors of the low-order mode contribution while the wall-normal turbulence intensities are the least.

A reduced-order model for heat transfer in multiphase flow and practical aspects of the proper orthogonal decomposition

2012 ◽  
Vol 43 ◽  
pp. 68-80 ◽  
Author(s):  
Thomas A. Brenner ◽  
Raymond L. Fontenot ◽  
Paul G.A. Cizmas ◽  
Thomas J. O’Brien ◽  
Ronald W. Breault
Keyword(s):  
Heat Transfer ◽  
Multiphase Flow ◽  
Proper Orthogonal Decomposition ◽  
Orthogonal Decomposition ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Proper Orthogonal

scholarly journals Proper Orthogonal Decomposition-Based Method for Predicting Flow and Heat Transfer of Oil and Water in Reservoir

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
Xianhang Sun ◽  
Bingfan Li ◽  
Xu Ma ◽  
Yi Pan ◽  
Shuangchun Yang ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Proper Orthogonal Decomposition ◽  
Orthogonal Decomposition ◽  
Basis Functions ◽  
Hot Water ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Flow And Heat Transfer ◽  
Proper Orthogonal

Calculation process of some reservoir engineering problems involves several passes of full-order numerical reservoir simulations, and this makes it a time-consuming process. In this study, a fast method based on proper orthogonal decomposition (POD) was developed to predict flow and heat transfer of oil and water in a reservoir. The reduced order model for flow and heat transfer of oil and water in the hot water-drive reservoir was generated. Then, POD was used to extract a reduced set of POD basis functions from a series of “snapshots” obtained by a finite difference method (FDM), and these POD basis functions most efficiently represent the dynamic characteristics of the original physical system. After injection and production parameters are changed constantly, the POD basis functions combined with the reduced order model were used to predict the new physical fields. The POD-based method was approved on a two-dimensional hot water-drive reservoir model. For the example of this paper, compared with FDM, the prediction error of water saturation and temperature fields were less than 1.3% and 1.5%, respectively; what is more, it was quite fast, where the increase in calculation speed was more than 70 times.

scholarly journals Vortex Induced Vibrations Analysis of a Cantilevered Blunt Plate by Proper Orthogonal Decomposition of TR-PIV and Structural Modal Analysis

2020 ◽  
Author(s):  
Yann Watine ◽  
Céline Gabillet ◽  
Jacques-André Astolfi ◽  
Laetitia Pernod ◽  
Boris Lossouarn ◽  
...  
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Modal Analysis ◽  
Vortex Shedding ◽  
Structural Response ◽  
Reynolds Numbers ◽  
Orthogonal Decomposition ◽  
Vortex Street ◽  
Mechanical Resonance ◽  
Von Karman ◽  
Proper Orthogonal

Abstract The present work focuses on the experimental characterization of the vortex shedding and on the induced vibrations of a cantilevered blunt rectangular aluminum plate of chord to thickness ratio 16, immersed in a uniform water flow in the hydrodynamic tunnel of the French Naval Academy Research Institute. Experiences have been conducted for Reynolds numbers Re (based on chord length) ranging from 2.5 × 105 to 10.5 × 105 at zero degrees incidence. Special attention has been paid to the interaction of the structural response and the flow dynamics at the twisting resonance. For this purpose, wake structures have been analyzed by Time Resolved Particle Image Velocimetry (TR-PIV) and the structural response of the plate has been examined by laser vibrometry. The von Karman vortex street has been characterized by statistical analysis and Proper Orthogonal Decomposition of PIV velocity fields and the structure is analyzed through modal analysis. The near-wake’s structure has been examined for three different Reynolds numbers: (i) at Re = 3.0 × 105, corresponding to vortex induced structural response at constant Strouhal number; (ii) at Re = 4.5 × 105, corresponding to mechanical resonance but dissociated vortex shedding and (iii) at Re = 5.4 × 105, corresponding to lock-in of the vortex shedding at the mechanical resonance. At Re = 4.5 × 105, at mechanical resonance, it reveals the occurrence of an energy transfer between the shear layer and the bubble wake vortex which cancels synchronization of the structural vibration with the von-Karman vortex street.

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