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Journal articles on the topic 'Non-dimensional parameters'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Chatoorgoon, V., S. Yeylaghi, and L. Leung. "ICONE19-44057 A Study of Non-Dimensional Parameters for the Oscillatory Instability Boundary In Supercritical Flow." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2011.19 (2011): _ICONE1944. http://dx.doi.org/10.1299/jsmeicone.2011.19._icone1944_24.

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2

Yousif, Ali, Sadeq Sulaiman, Lamine Diop, Mohammad Ehteram, Shamsuddin Shahid, Nadhir Al-Ansari, and Zaher Yaseen. "Open Channel Sluice Gate Scouring Parameters Prediction: Different Scenarios of Dimensional and Non-Dimensional Input Parameters." Water 11, no. 2 (February 19, 2019): 353. http://dx.doi.org/10.3390/w11020353.

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The determination of scour characteristics in the downstream of sluice gate is highly important for designing and protection of hydraulic structure. The applicability of modern data-intelligence technique known as extreme learning machine (ELM) to simulate scour characteristics has been examined in this study. Three major characteristics of scour hole in the downstream of a sluice gate, namely the length of scour hole (Ls), the maximum scour depth (Ds), and the position of maximum scour depth (Lsm), are modeled using different properties of the flow and bed material. The obtained results using ELM were compared with multivariate adaptive regression spline (MARS). The dimensional analysis technique was used to reduce the number of input variable to a smaller number of dimensionless groups and both the dimensional and non-dimensional variables were used to model the scour characteristics. The prediction performances of the developed models were examined using several statistical metrics. The results revealed that ELM can predict scour properties with much higher accuracy compared to MARS. The errors in prediction can be reduced in the range of 79%–81% using ELM models compared to MARS models. Better performance of the models was observed when dimensional variables were used as input. The result indicates that the use of ELM with non-dimensional data can provide high accuracy in modeling complex hydrological problems.

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3

HUANG, HEQING. "Non-dimensional parameters of depth-averaged gravity flow models." Journal of Hydraulic Research 47, no. 4 (2009): 000. http://dx.doi.org/10.3826/jhr.2009.3377.

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4

Bonert, Michael, and Bradley A. Saville. "A Non-Dimensional Analysis of Hemodialysis." Open Biomedical Engineering Journal 4, no. 1 (July 9, 2010): 138–55. http://dx.doi.org/10.2174/1874120701004010138.

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Background: Non-dimensional analysis is a powerful approach that can be applied to multivariate problems to better understand their behaviour and interpret complex interactions of variables. It is has not been rigorously applied to the parameters that define renal dialysis treatments and may provide insight into the planning of hemodialysis treatments. Methods: Buckingham’s non-dimensional approach was applied to the parameters that define hemodialysis treatments. Non-dimensional groups were derived with knowledge of a mass transfer model and independent of it. Using a mass transfer model, the derived non-dimensional groups were plotted to develop an understanding of key relationships governing hemodialysis and toxin profiles in patients with end-stage renal disease. Results: Three non-dimensional groups are sufficient to describe hemodialysis, if there is no residual renal function (RRF). The non-dimensional groups found represent (1) the number of half-lives that characterize the mass transfer, (2) the toxin concentration divided by the rise in toxin concentration without dialysis for the cycle time (the inverse of the dialysis frequency), and (3) the ratio of dialysis time to the cycle time. If there is RRF, one additional non-dimensional group is needed (the ratio between cycle time and intradialytic elimination rate constant). Alternate non-dimensional groups can be derived from the four unique groups. Conclusions: Physical interpretation of the non-dimensional groups allows for greater insight into the parameters that determine dialysis effectiveness. This technique can be applied to any toxin and facilitates a greater understanding of dialysis treatment options. Quantitative measures of dialysis adequacy should be based on dimensional variables.

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5

Wu, Shuang Ying, Xiao Feng Yuan, and You Rong Li. "Two non-dimensional exergy transfer performance parameters of heat exchanger." International Journal of Exergy 7, no. 1 (2010): 130. http://dx.doi.org/10.1504/ijex.2010.029619.

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6

Chatoorgoon, V. "Non-dimensional parameters for static instability in supercritical heated channels." International Journal of Heat and Mass Transfer 64 (September 2013): 145–54. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2013.04.026.

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7

Navarro-Peris, Emilio, José M. Corberán, Luigi Falco, and Israel O. Martínez-Galván. "New non-dimensional performance parameters for the characterization of refrigeration compressors." International Journal of Refrigeration 36, no. 7 (November 2013): 1951–64. http://dx.doi.org/10.1016/j.ijrefrig.2013.07.007.

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8

Lamont-Smith, T. "An empirical examination of the use of non-dimensional wave parameters." Waves in Random and Complex Media 30, no. 4 (December 5, 2018): 614–31. http://dx.doi.org/10.1080/17455030.2018.1549761.

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9

Palla, A., I. Gnecco, and L. G. Lanza. "Non-dimensional design parameters and performance assessment of rainwater harvesting systems." Journal of Hydrology 401, no. 1-2 (April 2011): 65–76. http://dx.doi.org/10.1016/j.jhydrol.2011.02.009.

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10

Kryshchuk, R. S. "INFLUENCE OF WINDING ENDS ON THE PARAMETERS OF PULSE INDUCTOR WITH U-SHAPED CORE." Tekhnichna Elektrodynamika 2020, no. 6 (October 21, 2020): 69–76. http://dx.doi.org/10.15407/techned2020.06.069.

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It is known from the scientific literature that magnetic pulse processing of electrically conductive non-magnetic sheet materials helps to reduce residual stresses, especially in welded joints. This is due to magnetoplastic and electroplastic effects. To create such effects in non-magnetic electrically conductive materials with welded joints, an inductor with pulsed magnetic field, U-shaped magnetic circuit and hollow conductor for possibility of active cooling of the winding is proposed. Such inductor allows inducing high-density pulsed currents in electrically conductive non-magnetic sheet materials with welded joints. It studies the parameters of the inductor - active resistance and inductance in the frequency-domain mode. The parameters calculated in two-dimensional and three-dimensional models are compared. The electromagnetic field is calculated using Maxwell equations and finite element method. Parameters of an ends of winding are determined by the difference in the parameters of the three-dimensional and two-dimensional models of the induction system. Resistance is calculated separately in the groove`s part of the winding, the outer part and on the frontal parts. The parameters of the induction system with a ferromagnetic core and non-magnetic thin-sheet alloy AMg6 are calculated for various values of complex amplitude of current in winding. Additionally, the parameters are calculated both without the magnetic core and without the non-magnetic metal. The quantitative comparison of the parameters of the three-dimensional model with the two-dimensional one is performed. The active resistance and inductance of end parts of the inductor are investigated by well-known analytical expressions from handbooks of electric machines. References 11, figures 3, tables 6.

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11

Liu, Yan, Yan Peng Qu, Wei Qiang Wang, and Tong Lei Chen. "Non-Dimensional Design Method for Pressure Vessels." Advanced Materials Research 479-481 (February 2012): 1704–8. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.1704.

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Non-Dimensional Design Method (NDDM) for pressure vessels may simplify the design process, reduce the human resource, and it can substitute for the traditional method. The principles and steps of the NDDM were presented. In the method, we constructed two kinds of non-dimension parameters through introducing referenced dimension and pressure. Non-dimensional data of the opening reinforcement structure of pressure vessels were attained. In order to validate the results, two pressure vessels with same structure and different computing pressure and size were designed. The correctness was checked by the present standards. It showed that the NDDM could be applied briefly and reliable.

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12

Wang, Xun, Xiao Wen Zhang, and Cheng Si Yang. "Experimental Analysis on Non-Dimensional Parameters of Closed-Loop Pulsating Heat Pipes." Advanced Materials Research 732-733 (August 2013): 230–33. http://dx.doi.org/10.4028/www.scientific.net/amr.732-733.230.

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Based on experimental studies, this paper discusses the variation tendencies of three non-dimensional parameters including Ja, Bo and Pr which consist of various operational parameters and characteristic parameters, and then analyses their effects on heat transfer performance of closed-loop pulsating heat pipes (PHPs) at startup stage and steady operation stage. Results indicate that at startup stage, the values of Ja and Bo increase over time as a whole, while the values of Pr decrease; at steady operation stage, the values of three parameters all fluctuate within a narrow range. The results also show that heat transfer is due mainly to the exchange of latent heat under the experimental conditions.

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13

Silin, N., and M. Melnichuk. "A case study of a hydride container performance applying non dimensional parameters." International Journal of Hydrogen Energy 39, no. 36 (December 2014): 21060–67. http://dx.doi.org/10.1016/j.ijhydene.2014.10.027.

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14

Enatescu, V. V., and V. R. Enatescu. "A model for analysis of non verbal parameters in n-dimensional space." European Psychiatry 22 (March 2007): S320. http://dx.doi.org/10.1016/j.eurpsy.2007.01.1064.

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15

Ans, Muhammad, Javed Iqbal, Zahoor Ahmad, Shabbir Muhammad, Riaz Hussain, Bertil Eliasson, and Khurshid Ayub. "Designing Three‐dimensional (3D) Non‐Fullerene Small Molecule Acceptors with Efficient Photovoltaic Parameters." ChemistrySelect 3, no. 45 (December 4, 2018): 12797–804. http://dx.doi.org/10.1002/slct.201802732.

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16

Zhao, Lian-heng, Xiao Cheng, De-jian Li, and Ying-bin Zhang. "Influence of non-dimensional strength parameters on the seismic stability of cracked slopes." Journal of Mountain Science 16, no. 1 (January 2019): 153–67. http://dx.doi.org/10.1007/s11629-017-4753-9.

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17

de Medeiros, Armando Lúcio Ramos, Alex Maurício Araújo, Oyama Douglas Queiroz de Oliveira Filho, Janardan Rohatgi, and Maurílio José dos Santos. "Analysis of design parameters of large-sized wind turbines by non-dimensional model." Energy 93 (December 2015): 1146–54. http://dx.doi.org/10.1016/j.energy.2015.09.118.

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18

Acosta Santamaría, Víctor Andrés, M. Malvè, A. Duizabo, A. Mena Tobar, G. Gallego Ferrer, J. M. García Aznar, M. Doblaré, and I. Ochoa. "Computational Methodology to Determine Fluid Related Parameters of Non Regular Three-Dimensional Scaffolds." Annals of Biomedical Engineering 41, no. 11 (June 27, 2013): 2367–80. http://dx.doi.org/10.1007/s10439-013-0849-8.

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19

Xu, Guizhi, Liangqing Yuan, Xue Chen, Wenbo Jia, MengJun Wang, Li Yang, Jia Zhu, and Huanyu Cheng. "Design of non-dimensional parameters in stretchable microstrip antennas with coupled mechanics-electromagnetics." Materials & Design 205 (July 2021): 109721. http://dx.doi.org/10.1016/j.matdes.2021.109721.

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20

Falade, Funso, and Taim Iqbal. "Compressive strength Prediction recycled aggregate incorporated concrete using Adaptive Neuro-Fuzzy System and Multiple Linear Regression." International Journal of Civil, Environmental and Agricultural Engineering 1, no. 1 (May 30, 2019): 19–24. http://dx.doi.org/10.34256/ijceae1913.

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Compressive strength of concrete, renowned as one of the most substantial mechanical properties of concrete and key factors for the quality assurance of concrete. In the present study, two different data-driven models, i.e., Adaptive Neuro-Fuzzy Inference System (ANFIS), and Multiple Linear Regression (MLR) were used to predict the 28 days compressive strength of recycled aggregate concrete (RAC). 16 different input parameters, including both dimensional and non-dimensional parameters, were used for predicting the 28 days compressive strength of concrete. The present study established that estimation of 28 days compressive strength of recycled aggregate concrete was performed better by ANFIS in comparison to MLR. Besides, the performance of data-driven models with and without the non-dimensional parameters is explored. It was observed that the data-driven models show better accuracy when the non-dimensional parameters were used as additional input parameters. Furthermore, the effect of each non-dimensional parameter on the performance of each data-driven model is investigated and 28 days compressive strength of concrete is examined.

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21

Gasim, Ahmed, and Haitham A.A.Elboushi. "Fundamental Parameters Affecting Non Linearity of Suspension Bridges." FES Journal of Engineering Sciences 2, no. 1 (November 6, 2006): 29. http://dx.doi.org/10.52981/fjes.v2i1.92.

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In this research factors affecting the non-linearity of suspension bridges were studied. The fundamental parameters studied are the main and side span lengths, cable sag, tower height, cable x-section and the flexural rigidity of the stiffening girder .The effect of variation of each parameter on the cable tension and the girder moments is studied. A non-linear 2-dimensional mathematical model of a 3 span, continuous suspension bridge is considered . The solution is based on the second order deflection theory given in a computerized form. It has been found that the degree of effect of these parameters on the results of analysis in a descending order is: the main span length, side span length, cable sag, cable section and the stiffness of the bridge girder.

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22

Yoshii, Takumi, Masaaki Ikeno, Masafumi Matsuyama, and Naoki Fujii. "PICK-UP RATE OF SUSPENDED SAND DUE TO TSUNAMI." Coastal Engineering Proceedings 1, no. 32 (January 19, 2011): 12. http://dx.doi.org/10.9753/icce.v32.sediment.12.

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The pick-up rate formula which can apply to wide-range of grain size was presented through dimensional analysis and laboratory experiments. The result of the dimensional analysis revealed that there are three must-considered non-dimensional parameters: “non-dimensional sand grain diameter”, “non-dimensional settling velocity”, and “non-dimensional shear stress”. The pick-up rate formula which considers these parameters can predict the pick-up rate of 0.08 mm and 0.2 mm grains measured in the experiment with sufficient accuracy. The topography change around a harbor due to tsunami was measured in the laboratory experiment and compared with the result of numerical simulations. The numerical simulation with the presented pick-up rate formula shows a better agreement with the laboratory experiment than that with Takahashi et al. (2000)’s model.

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23

KERIMOV, AZER. "ONE-DIMENSIONAL NON-SYMMETRIC WIDOM–ROWLINSON MODEL WITH LONG-RANGE INTERACTION." Modern Physics Letters B 21, no. 09 (April 10, 2007): 559–66. http://dx.doi.org/10.1142/s0217984907013134.

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The absence of phase transitions in one-dimensional Widom–Rowlinson model with long-range interaction is established in the non-symmetric case when different particles have different activity parameters.

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24

Seshasayanan, K., and A. Alexakis. "Kazantsev model in non-helical 2.5-dimensional flows." Journal of Fluid Mechanics 806 (October 13, 2016): 627–48. http://dx.doi.org/10.1017/jfm.2016.614.

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We study the dynamo instability for a Kazantsev–Kraichnan flow with three velocity components that depend only on two dimensions $\boldsymbol{u}=(u(x,y,t),v(x,y,t),w(x,y,t))$ often referred to as 2.5-dimensional (2.5-D) flow. Within the Kazantsev–Kraichnan framework we derive the governing equations for the second-order magnetic field correlation function and examine the growth rate of the dynamo instability as a function of the control parameters of the system. In particular we investigate the dynamo behaviour for large magnetic Reynolds numbers $Rm$ and flows close to being two-dimensional and show that these two limiting procedures do not commute. The energy spectra of the unstable modes are derived analytically and lead to power-law behaviour that differs from the three-dimensional and two-dimensional cases. The results of our analytical calculation are compared with the results of numerical simulations of dynamos driven by prescribed fluctuating flows as well as freely evolving turbulent flows, showing good agreement.

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25

Qi, Dewei. "Non-Spheric Colloidal Suspensions in Three-Dimensional Space." International Journal of Modern Physics C 08, no. 04 (August 1997): 985–97. http://dx.doi.org/10.1142/s0129183197000850.

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The translation and rotation of non-spherical particles, such as ellipsoidal, cylindric or disk-like pigment particles, in a Couette flow system similar to a blade coating system in the paper industry6 have been successfully simulated by using the lattice-Boltzmann method combined with Newtonian dynamic simulations. Hydrodynamic forces and torques are obtained by the use of boundary conditions which match the moving surface of solid particles. Then Euler equations have been integrated to include three-dimensional rotations of the suspensions by using four quaternion parameters as generalized coordinates. The three-dimensional rotations have been clearly observed. Consequently, the motion of the particles suspended in fluids of both low-Reynolds-number and finite-Reynolds-number, up to several hundreds, has been studied. It appears that the 3D translation and rotation of the non-spherical particles are more clearly observed in a high-Reynolds-number fluid than in a low-Reynolds-number fluid.

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26

ZHAO, PING-YA, and DAO-RONG YU. "Spatially recursive algorithms for adaptive estimation of two-dimensional non-causal and non-stationary simultaneous autoregressive model parameters." International Journal of Systems Science 23, no. 7 (July 1992): 1033–49. http://dx.doi.org/10.1080/00207729208949364.

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27

Salvadori, Simone, Mauro Carnevale, Alessia Fanciulli, and Francesco Montomoli. "Uncertainty Quantification of Non-Dimensional Parameters for a Film Cooling Configuration in Supersonic Conditions." Fluids 4, no. 3 (August 10, 2019): 155. http://dx.doi.org/10.3390/fluids4030155.

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In transonic high-pressure turbine stages, oblique shocks originating from vane trailing edges impact the suction side of each adjacent vane. High-pressure vanes are cooled to tolerate the combustor exit-temperature levels, then it is highly probable that shock impingement will occur in proximity to a row of cooling holes. The presence of such a shock, together with the inevitable manufacturing deviations, alters the location of the shock impingement and of the performance parameters of each cooling hole. The present work provides a general description of the aero-thermal field that occurs on the rear suction side of a cooled vane. Computational Fluid Dynamics (CFD) is used to evaluate the deterministic response of the selected configurations in terms of adiabatic effectiveness, discharge coefficient, blowing ratio, density ratio, and momentum ratio. Turbulence is modelled by using both the Shear Stress Transport method (SST) and the Reynolds Stress Model (RSM) implemented in ANSYS ® FLUENT ® . The obtained results are compared with the experimental data obtained by the Institut für Thermische Strömungsmaschinen in Karlsruhe. Two uncertainty quantification methodologies based on Hermite polynomials and Padè–Legendre approximants are used to consider the probability distribution of the geometrical parameters and to evaluate the response surfaces for the system response quantities. Trailing-edge and cooling-hole diameters have been considered to be aleatory unknowns. Uncertainty quantification analysis allows for the assessment of the mutual effects on global and local parameters of the cooling device. Obtained results demonstrate that most of the parameters are independent by the variation of the aleatory unknowns while the standard deviation of the blowing ratio associated with the hole diameter uncertainty is around 12 % , with no impact by the trailing-edge thickness. No relevant advantages are found using either SST model or RSM in combination with Hermite polynomials and Padè–Legendre approximants.

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28

Burd, V. Sh. "Almost periodic resonance oscillations in non-linear two-dimensional systems with slowly varying parameters." Journal of Applied Mathematics and Mechanics 60, no. 3 (January 1996): 391–98. http://dx.doi.org/10.1016/s0021-8928(96)00049-4.

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29

Zeng, Yi Shan. "Research on Non-Linear Decoupling for Multi-Dimensional Force Sensor." Applied Mechanics and Materials 130-134 (October 2011): 1005–10. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.1005.

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Based on the integrated design of structure, multi-dimensional force sensor has severe dimension coupling interference. Besides, two-order non-linear coupling error exists generally. This paper focuses on a six-axis force sensor of strain gauge balance, and uses a P normative decoupling network to compute the decoupling matrix. Then the static non-linear decoupling parameters are solved by multi-step least square so that the morbidity in the process of computing the decoupling matrix is avoided.

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30

Ten Berg, P. W. L., J. G. G. Dobbe, S. E. R. Horbach, R. M. Gerards, S. D. Strackee, and G. J. Streekstra. "Analysis of deformity in scaphoid non-unions using two- and three-dimensional imaging." Journal of Hand Surgery (European Volume) 41, no. 7 (July 20, 2016): 719–26. http://dx.doi.org/10.1177/1753193415614430.

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Pre-operative assessment of the deformity in scaphoid non-unions influences surgical decision-making. To characterize deformity, we used three-dimensional computed tomographic modelling in 28 scaphoid non-unions, and quantified bone loss, dorsal osteophyte volume and flexion deformity. We further related these three-dimensional parameters to the intrascaphoid and capitate-lunate angles, and stage of scaphoid non-union advanced collapse assessed on conventional two-dimensional images and to the chosen surgical procedure. Three-dimensional flexion deformity (mean 26°) did not correlate with intrascaphoid and capitate-lunate angles. Osteophyte volume was positively correlated with bone loss and stage of scaphoid non-union advanced collapse. Osteophyte volume and bone loss increased over time. Three-dimensional modelling enables the quantification of bone loss and osteophyte volume, which may be valuable parameters in the characterization of deformity and subsequent decision-making about treatment, when taken in addition to the clinical aspects and level of osteoarthritis. Type of study/level of evidence: Level IV

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31

Yu, Runqing, Diandian Zhang, Li Chen, and Haichun Yan. "Non-dimensional pressure–impulse diagrams for blast-loaded reinforced concrete beam columns referred to different failure modes." Advances in Structural Engineering 21, no. 14 (April 23, 2018): 2114–29. http://dx.doi.org/10.1177/1369433218768085.

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The pressure–impulse diagram is commonly used to assess the damage level of structural components under explosion. Non-dimensional pressure–impulse diagrams referred to different failure modes was obtained using a new methodology in this article. Nine non-dimensional key parameters were first proposed on basis of the Euler beam theory. Considering the shear failure, an elastic–plastic method to calculate the dynamic response of reinforced concrete beam columns was then proposed for different failure modes. Three failure categories, for example, bending failure, shear failure, and combined shear and bending failure, were considered. The threshold between the three failure modes was determined using non-dimensional pressure–impulse curves. A systematic parametric study was conducted to investigate the effects of different non-dimensional parameters on the dynamic response and the failure modes of reinforced concrete beam column. Parametric study shows that the nine non-dimensional key parameters are sufficient to calculate the dynamic response of reinforced concrete beam columns. Moreover, present study shows that the tangent modulus of direct shear stress–slip relation has a great influence on the failure modes. Beam columns with a smaller tangent modulus are more likely to generate combined shear and bending failure mode.

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32

Li, Liangliang, Jing Tian, and Goong Chen. "Chaotic Vibration of a Two-dimensional Non-strictly Hyperbolic Equation." Canadian Mathematical Bulletin 61, no. 4 (November 20, 2018): 768–86. http://dx.doi.org/10.4153/cmb-2018-012-1.

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AbstractThe study of chaotic vibration for multidimensional PDEs due to nonlinear boundary conditions is challenging. In this paper, we mainly investigate the chaotic oscillation of a two-dimensional non-strictly hyperbolic equation due to an energy-injecting boundary condition and a distributed self-regulating boundary condition. By using the method of characteristics, we give a rigorous proof of the onset of the chaotic vibration phenomenon of the zD non-strictly hyperbolic equation. We have also found a regime of the parameters when the chaotic vibration phenomenon occurs. Numerical simulations are also provided.

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33

Zhou, Feng Xi, Yi Ming He, and Ying Xin. "Analysis of One-Dimensional Consolidation of Non-Homogeneous Layer with Exponential Flow Law." Applied Mechanics and Materials 638-640 (September 2014): 374–79. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.374.

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Based on exponential flow law, the analytical solution to the one-dimension consolidation governing differential equation was deduced when the laws of permeability and compressibility coefficients with depth can be expressed as exponential function. By finite difference method, the numerical solution of excess pore water pressure and degree of consolidation was obtained, then the reliability of numerical solution is verified by comparing numerical results with analytical results, and consolidation behavior of non-homogeneous layer with exponential flow law under various parameters is analyzed. The results showed that under the condition of the two-sided drainage, the heterogeneity of foundation consolidation of index of seepage speed depends on the index of the size and the size of the non-uniform parameters. That is when the index m is bigger, increase the permeability coefficient, reduce the compression coefficient, the consolidation is faster, but the inhomogeneous parameters are still play a decisive role.

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34

Widmann, A., and C. Tropea. "Parameters influencing vortex growth and detachment on unsteady aerodynamic profiles." Journal of Fluid Mechanics 773 (May 26, 2015): 432–59. http://dx.doi.org/10.1017/jfm.2015.259.

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Experiments with a pitching and plunging airfoil are conducted in order to investigate the mechanisms responsible for the formation and detachment of leading edge vortices (LEVs). The chord length is varied from 90 to 180 mm, keeping all other non-dimensional parameters constant, specifically the Reynolds number (17 000), the Strouhal number (0.25), the reduced frequency (0.5) and the effective angle of attack history. It is shown that the mechanism of vortex detachment changes with chord length, evident in a corresponding change in flow topology. One mechanism scales with chord length, the other is attributed to viscous effects in the boundary layer. For the latter mechanism a new scaling of the LEV circulation is introduced. A second experiment investigates the influence of the reduced frequency on the LEV circulation and detachment mechanisms, again keeping all other non-dimensional parameters constant.

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35

Higashimori, Mitsuru, Idaku Ishii, and Makoto Kaneko. "Non-Dimensional Analysis Based Design on Tracing Type Legged Robots." Journal of Robotics and Mechatronics 18, no. 3 (June 20, 2006): 333–39. http://dx.doi.org/10.20965/jrm.2006.p0333.

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We discuss the optimum design issue for tracing type legged robots in the sense that it can jump as high as possible. By applying dimensional analysis techniques, we introduce four non-dimensional parameters that control the jump ratio (=h/l ) for a tracing type jumping robot. An interesting observation is that there exists the optimum design point where the jump ratio becomes maximum. Through experiments, we found that the robot with the optimum design specification can achieve the jump ratio of 3.6, while the jump ratio decreases for other design points. This paper is the full translation from the transactions of JSME Series C, Vol.71, No.704, 2005.

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36

FABIŚ, Paweł, Bartosz FLEKIEWICZ, and Marek FLEKIEWICZ. "On board recognition of different fuels in SI engines with the use of dimensional and non-dimensional vibration signal parameters." Combustion Engines 136, no. 1 (February 1, 2009): 69–75. http://dx.doi.org/10.19206/ce-117222.

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Gaseous fuels such as natural gas and propane butane mixtures are currently the most popular fuels for dual fuel internal combustion engines. Gaseous fuels are more resistant to knocking than conventional liquid fuels they mix better with air. There have been many published works on the use of gaseous fuels but the problem of the combustion noise, as a very important source of acoustic discomfort is not getting enough attention. Combustion noise occurs in a direct and indirect form. It is transmitted throughout the engine block as a vibration at a different spectrum of frequencies. In this study an attempt has been made to correlate the combustion noise with the operating parameters of an engine fueled with LPG, CNG and CNG-hydrogen mixtures as compared to petrol fueled engine. Signals of multiple resonance in the combustion chamber and corresponding vibration signals of the cylinder block of engine have been considered for one combustion cycle. A four cylinder, 1.6 dm3 spark-ignition engine converted to run on LPG, CNG and CNG-hydrogen mixtures has been tested in the project. A well known diagnostic parameter was used for comparison of the engine noise for its operation on gasoline and alternative fuels. A new non-dimensional indicator has also been proposed for the engine vibration estimation purposes the Increase Wavelet Ratio C’ab, precisely described in the paper.

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Jiang, Hai Yang, Hua Qing Wang, and Peng Chen. "Fault Detection and Discrimination of Rotating Machinery Using Frequency Symptom Parameter and Bayesian Network." Applied Mechanics and Materials 470 (December 2013): 683–88. http://dx.doi.org/10.4028/www.scientific.net/amm.470.683.

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This paper proposes a novel fault diagnosis method for rotating machinery based on symptom parameters and Bayesian Network. Non-dimensional symptom parameters in frequency domain calculated from vibration signals are defined for reflecting the features of vibration signals. In addition, sensitive evaluation method for selecting good non-dimensional symptom parameters using the method of discrimination index is also proposed for detecting and distinguishing faults in rotating machinery. Finally, the application example of diagnosis for a roller bearing by Bayesian Network is given. Diagnosis results show the methods proposed in this paper are effective.

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Yigit, Berk, and Kerem Pekkan. "Non-dimensional physics of pulsatile cardiovascular networks and energy efficiency." Journal of The Royal Society Interface 13, no. 114 (January 2016): 20151019. http://dx.doi.org/10.1098/rsif.2015.1019.

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In Nature, there exist a variety of cardiovascular circulation networks in which the energetic ventricular load has both steady and pulsatile components. Steady load is related to the mean cardiac output (CO) and the haemodynamic resistance of the peripheral vascular system. On the other hand, the pulsatile load is determined by the simultaneous pressure and flow waveforms at the ventricular outlet, which in turn are governed through arterial wave dynamics (transmission) and pulse decay characteristics (windkessel effect). Both the steady and pulsatile contributions of the haemodynamic power load are critical for characterizing/comparing disease states and for predicting the performance of cardiovascular devices. However, haemodynamic performance parameters vary significantly from subject to subject because of body size, heart rate and subject-specific CO. Therefore, a ‘normalized’ energy dissipation index, as a function of the ‘non-dimensional’ physical parameters that govern the circulation networks, is needed for comparative/integrative biological studies and clinical decision-making. In this paper, a complete network-independent non-dimensional formulation that incorporates pulsatile flow regimes is developed. Mechanical design variables of cardiovascular flow systems are identified and the Buckingham Pi theorem is formally applied to obtain the corresponding non-dimensional scaling parameter sets. Two scaling approaches are considered to address both the lumped parameter networks and the distributed circulation components. The validity of these non-dimensional number sets is tested extensively through the existing empirical allometric scaling laws of circulation systems. Additional validation studies are performed using a parametric numerical arterial model that represents the transmission and windkessel characteristics, which are adjusted to represent different body sizes and non-dimensional haemodynamic states. Simulations demonstrate that the proposed non-dimensional indices are independent of body size for healthy conditions, but are sensitive to deviations caused by off-design disease states that alter the energetic load. Sensitivity simulations are used to identify the relationship between pulsatile power loss and non-dimensional characteristics, and optimal operational states are computed.

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Madhu, M., B. Balaswamy, and N. Kishan. "Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink." International Journal of Applied Mechanics and Engineering 21, no. 2 (May 1, 2016): 393–406. http://dx.doi.org/10.1515/ijame-2016-0024.

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AbstractAn analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suitable similarity transformations. These equations are, then solved by using the variational finite element method. The flow phenomena is characterised by the magnetic parameterM, suction parameterS, porosity parameterKp, heat source/sink parameterQ, Prandtl number Pr, Eckert number Ec and radiation parameterRd. The numerical results of the velocity and temperature profiles are obtained and displayed graphically.

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Zhang, Xiaofei, Changhong Linghu, and Jizhou Song. "Three-Dimensional Mechanical Modeling of Magnet-Controlled Transfer Printing." International Journal of Applied Mechanics 11, no. 05 (June 2019): 1950042. http://dx.doi.org/10.1142/s175882511950042x.

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The recently developed magnet-controlled transfer printing is valuable to develop advanced engineering systems due to its ability to tune the interfacial adhesion strength continuously and rapidly. A three-dimensional analytical model based on the energy method is developed for the magnet-controlled transfer printing. The predicted interfacial adhesion strengths agree well with experiments. A scaling law is established for the normalized interfacial adhesion strength, which depends on only four non-dimensional parameters: the normalized stamp size, the normalized stamp height, the normalized work of adhesion, and the normalized magnetic pressure. The influences of the non-dimensional parameters on the adhesion strength are fully investigated. This study provides a theory to guide the design of stamp and selection of the magnetic pressure to enable a successful magnet-controlled transfer printing.

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Yu, Xue Mei, An Ping Zhao, and Xue Li. "Helicopter Aerodynamic Parameter Identification via Flight Dynamics." Applied Mechanics and Materials 327 (June 2013): 246–49. http://dx.doi.org/10.4028/www.scientific.net/amm.327.246.

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A method which can process flight test data by integrating parameter identification and non-dimensional flight dynamic model was proposed to acquire the effective aerodynamic parameters of a helicopter. First of all, a non-dimensional mathematic model considering flight dynamics was deduced for a helicopter in state of level flight, and some important parameters including aerodynamic and correctional were developed. Next, taking helicopter Z-9× for example, the least squares method was adopted to identify these parameters based actual flight test data. Lastly, the identification method was proved valid through feasibility analysis. Results show that this method is a good way to acquire aerodynamic parameters and can shorten flight test periods as well.

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Bhatia, Sushant, and Jaideep Gupta. "Dynamic Analysis of a Flexible Rotor Supported on Two Turbulent Model Journal Bearings with Micropolar Fluid Lubrication." Applied Mechanics and Materials 592-594 (July 2014): 1386–90. http://dx.doi.org/10.4028/www.scientific.net/amm.592-594.1386.

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This paper presents the complex dynamic analysis of a flexible rotor–bearing system supported by two turbulent micropolar fluid film journal bearings under nonlinear suspension. The Modified Reynolds equation based on the assumptions of turbulent flow and the micropolar parameters has been considered. The system considers Short bearing approximation to simplify the numerical computations. The pressure distribution thus obtained is used to find out the resulting forces about the journal center in the radial and tangential directions. The Non-dimensional dynamic equations are derived considering appropriate non dimensional parameters and solved using MATLAB for a wide range of non-dimensional speed ratios. Plots of the journal center trajectories and rotor center trajectories are obtained. The results show that the system undergoes undesirable nonsynchronous vibrations due to bearing center displacement. Micropolar fluid is found to stabilize the system even when the flow of the system becomes turbulent. The study presented enhances the understanding of the nonlinear dynamics of turbulent journal bearings with respect to dimensionless parameters.

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Zhao, Yan Ling. "Spring Geometric Parameters of Non-Contact Measurement Based on Binocular Stereo Vision Sensor." Applied Mechanics and Materials 536-537 (April 2014): 287–90. http://dx.doi.org/10.4028/www.scientific.net/amm.536-537.287.

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This paper first discusses the basic principles of binocular stereo vision inspection, followed by discussion of the three-dimensional mathematical model of binocular vision sensor measurements, non-contact measurement accuracy binocular stereo vision again spring geometric parameters were analyzed, and then double-structure stereo vision sensor configurations were analyzed for binocular stereo vision to do a simple discussion of the basis for discussion.

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Bowers, Jeremy T., Mark C. Webb, and Jesse L. Beaver. "Soil Parameters for Design with the 3D PLAXIS Hardening Soil Model." Transportation Research Record: Journal of the Transportation Research Board 2673, no. 10 (June 2, 2019): 708–13. http://dx.doi.org/10.1177/0361198119851723.

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The design and analysis of buried structures presents difficulties that cannot often be solved by closed-form solutions. Finite element methods (FEM) have increasingly become the tool of choice for advanced soil-structure interaction analysis, with three-dimensional FEM being required for irregular non-plane-strain cases. To accurately capture the stress and deformation of soils, complex material constitutive models are required. Several input parameters to these models must be determined from expensive soil testing, which is impractical for most applications. For two-dimensional FEM, good approximations of these parameters for a wide range of placed backfill soils have been developed and used in practice for many years in the computer program CANDE. It is the purpose of this paper to take these parameters, developed by Selig for use in CANDE, and convert them to equivalent parameters for the three-dimensional PLAXIS computer program’s Hardening Soil model.

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Khan, Md Shariful Islam, and Md Shahidul Islam. "A Chaotic Three Dimensional Non-Linear Autonomous System Beyond Lorenz Type Systems." Journal of Bangladesh Academy of Sciences 36, no. 2 (December 14, 2012): 159–70. http://dx.doi.org/10.3329/jbas.v36i2.12959.

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Some fundamental properties of a chaotic three-dimensional non-linear system of the Lorenz type systems were studied. The invariance, dissipation, bifurcation and the strange attractors were investigated and analyzed one 1-scroll, two 2-scroll and two 4-scroll attractors by adding control parameters to this system. The relationship and connecting function for the 2-scroll attractor of this system were also explored. DOI: http://dx.doi.org/10.3329/jbas.v36i2.12959 Journal of Bangladesh Academy of Sciences, Vol. 36, No. 2, 159-170, 2012

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KOVNER, A., and B. ROSENSTEIN. "DECONFINEMENT IN (2 + 1)-DIMENSIONAL NON-ABELIAN GAUGE THEORIES WITH FUNDAMENTAL FERMIONS." Modern Physics Letters A 07, no. 25 (August 20, 1992): 2287–97. http://dx.doi.org/10.1142/s0217732392002056.

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Non-Abelian gauge theories with fundamental fermions are analyzed using dual Lagrangian approach. It is found that in certain range of parameters the baryon number symmetry is spontaneously broken and one of the gauge bosons is identified as the corresponding Goldstone boson. It therefore remains massless beyond perturbation theory. All the other gauge bosons acquire a mass due to one-loop and monopole effects. Correspondingly, unlike in theories with bosonic matter only, one type of charged particles is not linearly confined.

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Qu, Jianmin, and Yibin Xue. "Three-Dimensional Interface Cracks in Anisotropic Bimaterials: The Non-Oscillatory Case." Journal of Applied Mechanics 65, no. 4 (December 1, 1998): 1048–55. http://dx.doi.org/10.1115/1.2791899.

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Two-dimensional interface cracks in anisotropic bimaterials have been studied extensively in the literature. However, solutions to three-dimensional interface cracks in anisotropic bimaterials are not available. In this paper, a penny-shaped crack on the interface between two anisotropic elastic half-spaces is considered. A formal solution is obtained by using the Stroh method in two-dimensional elasticity in conjunction with the Fourier transform method. Fracture mechanics parameters such as the stress intensity factor, crack-opening displacement, and energy release rate are obtained in terms of the interfacial matrix M. To illustrate the solution procedure, a circular delaminations in a unidirectional and a cross-ply composite are considered. Numerical results for the stress intensity factors and energy release rate along the crack front are presented.

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Kim, E., and J. Baek. "NUMERICAL STUDY OF THE EFFECTS OF THE GOVERNING NON-DIMENSIONAL PARAMETERS ON THE DROPLET EJECTION BEHAVIOR." Journal of computational fluids engineering 17, no. 2 (June 30, 2012): 65–70. http://dx.doi.org/10.6112/kscfe.2012.17.2.065.

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Kim, Jai Sam, Dorian M. Hatch, and Harold T. Stokes. "Analysis of Landau Potentials for Six-Dimensional Order Parameters and Realization of Non-Maximal Isotropy Subgroups." Japanese Journal of Applied Physics 24, S2 (January 1, 1985): 170. http://dx.doi.org/10.7567/jjaps.24s2.170.

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SERT, ÖZCAN, and MUZAFFER ADAK. "NON-MINIMAL RF2-TYPE CORRECTIONS TO HOLOGRAPHIC SUPERCONDUCTOR." Modern Physics Letters A 28, no. 40 (December 23, 2013): 1350190. http://dx.doi.org/10.1142/s0217732313501903.

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We study (2+1)-dimensional holographic superconductors in the presence of non-minimally coupled electromagnetic field to gravity by considering an arbitrary linear combination of RF2-type invariants with three parameters. Our analytical analysis shows that the non-minimal couplings affect the condensate and the critical temperature.

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