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result(s) for
"analytical models"
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A Simple Model of Flood Peak Attenuation
2024
A simple analytical model was developed for evaluating the attenuation of flood wave peak discharge. The physically‐based model represents the flood wave along its trajectory, based on the diffusive model. Relative peak discharge decreases along the downstream distance according to a power function. The distance is scaled by the attenuation factor related to river hydrodynamics (flow rating, hydraulic diffusivity, celerity, and floodplain storage) and input hydrograph (initial peak discharge, hydrograph volume, and its relative curvature). It also informs the attenuation length, which is a practical indicator of the river distance in which discharge decreases by a given factor. Sensitivity analyses indicate that initial peak discharge, volume, floodplain storage, and slope are the governing factors of attenuation. Model's validity and accuracy were demonstrated by reproducing data from (a) numerical solutions of the Saint‐Venant equations covering a wide range of conditions, (b) 29 observations from 11 historical dam‐breaks, (c) 15 observations of natural floods in seven rivers and (d) a detailed hydrodynamic model. The model errors were generally lower than 10% and not larger than the typical uncertainty of flood observations. The accuracy is higher than simplified empirical models and analogous to a detailed hydrodynamic model that is representative of current practice. The proposed flood attenuation model can be easily applied using a few common parameters and a simple equation in a basic spreadsheet. It is suitable for practical applications such as first assessments of natural and dam‐break floods, engineering design, and analyses of large river networks supported by remote sensing data. Plain Language Summary Floods are the most common and damaging natural disaster. Predicting how flood waves weaken while traveling along rivers is key to clarifying the risks of natural and dam‐break floods, in engineering design, reservoir operation, and environmental analysis. We developed a simple and innovative physical model of flood wave attenuation. This model was accurate when tested against observations from historical dam‐break and natural floods and sophisticated computer simulations covering a wide range of river types and flow conditions. Flood waves weaken more when their peak is large, their volume is low, and in low‐slope rivers with large floodplains. This simple and meaningful equation can be easily applied for practical applications and help with massive mapping of floods over large regions. Key Points A simple physically‐based analytical model of flood wave peak attenuation is developed The model is validated using numerical solutions of the Saint‐Venant equations and observations of historical dam breaks and natural floods Flood wave attenuation is governed mostly by initial peak discharge, volume, floodplain storage, and river slope
Journal Article
Partially Saturated Fracture‐Matrix Infiltration in Experiments and Theory
2024
Fractures provide pathways for preferential flow, whereas porous rock acts as storage that delays fluid propagation through matrix imbibition. These dual‐porosity mechanisms are investigated in laboratory experiments of partially saturated fracture infiltration. We analyze flow dynamics in terms of the fluid penetration depth in the fracture and delineate fracture‐ and matrix‐dominated flow regimes at different flow rates. We compare wetting front propagation in fracture and matrix and examine the interference of matrix‐wetting fronts with the lateral system boundary. The experimental data are interpreted using the analytical model of Nitao (1991), which accounts for the impact of fracture‐matrix interactions on fluid propagation in the fracture. We find that matrix imbibition affects the observed discontinuous, partially saturated fracture flow to behave, on average, like plug flow. Consequently, and within the range of applied flow rates above a critical threshold, the model’s plug flow assumption is not a relevant precondition for its applicability. Fluid propagation in the fracture exhibits three characteristic scaling regimes (FP1‐3) corresponding to the matrix imbibition state. Only two scaling regimes are established for flow rates below a critical threshold, hence required to recover bulk infiltration for the chosen geometry. Furthermore, wetting fronts switch from fracture‐to matrix‐dominated at moderate to high flow rates, indicating a flow‐rate‐dependent limitation of fracture‐dominated infiltration depth. While the scaling regimes agree with experiments for applied flow rates above the critical threshold, the model underestimates the initial penetration depth below. Here, we observe the direct onset of flow regime FP2 and the delayed transition into FP3. Key Points Laboratory experiments of infiltration dynamics in a vertical fracture between two sandstone blocks are compared to analytical solutions Complex fracture flow dynamics can be simplified as plug flow due to the strong effects of matrix imbibition during the wetting process Above critical inflow rates, only two of three conceptual flow periods are required to recover bulk infiltration in our experiments
Journal Article
A simplified analytical modeling approach for the structural analysis of massive masonry structures
by
Kutlu, Izzettin
,
Soyluk, Asena
,
íœnay, Ali İhsan
in
Analytical model; finite element analysis; mardin; masonry structures; structural behavior
,
Historical buildings
,
Masonry
2025
This paper, presents a simplified analytical modeling approach to determine the structural behavior of historical buildings. Analytical modeling is a digital tool for determining the behavior of masonry buildings under the influence of dynamic and static loads. In the analytical modeling process, different types of elements are involved to represent buildings. Due to the complex geometrical features of historical buildings, it is significant to the preference for convenient elements. Mardin Great Mosque was discussed and analyzed for the selection of convenient element preferences. Three different mosque models were built and analyzed by using three different element types (frame, shell, solid). In the findings of the paper, the values at the same points on the models were compared. When the first natural vibration period was examined, the first model is 0.76sec, the second model is 0.76sec, and the third model is 0.71sec. In addition, considering the base shear under dead load, 98.35% similarity was observed. As a consequence of the geometrical features of historical buildings, inappropriate definitions and inconvenient element preferences emerge the results questionable. Therefore, to be able to manage the analytical modeling process effectively requires accurate and appropriate definitions of the elements to be preferred.
Journal Article
Modeling, Investigation, and Mitigation of AC Losses in IPM Machines with Hairpin Windings for EV Applications
2021
Interior permanent magnet (IPM) machines with hairpin windings have attracted significant attention in EV applications owing to their low DC resistance and excellent thermal capabilities. In this paper, we present a comprehensive investigation of AC winding losses in IPM machines for traction applications, including analytical modeling, the influence of design parameters, and finite element (FE) verification. The proposed analytical model can predict the trends in AC winding losses for any number of bar conductors and slot/pole combinations. The results of the parametric study, obtained via the analytical model, are presented to examine the effects of key design parameters, such as conductor width and height, phase arrangement, and slot-per-pole-per-phase (SPP). To incorporate more practical issues into the analysis of IPM machines with hairpin windings, extensive FE simulations were conducted. The results indicated that the AC winding losses decrease with an increasing number of conductor layers and phases inside the slot.
Journal Article
Semi‐Analytical Models for Predicting the Maximum Longitudinal Flow Velocity in the Confluence Channel
2025
In a channel confluence, different hydrodynamic characteristics can significantly affect the flow structure. As the main and tributary flow converges at the confluence, they are constrained by the recirculation zone, resulting in streamline contraction and an increase in flow velocity, thereby creating a zone of maximum velocity adjacent to the maximum width of the recirculation zone. The maximum flow velocity governs pollutant transport about a confluence and also influences bed erosion; thus, an accurate determination of the maximum flow velocity is crucial. In the present study, a statistical methodology was applied to validate the feasibility of substituting the maximum flow velocity at the widest section of the recirculation zone with the longitudinal maximum flow velocity. Two distinct models were formulated to address the transition between two mixing modes in the shear layer. In the wake mode, the two‐control volume approach was applied, using the lowest velocity within the shear layer as a boundary to partition the contracted flow into two control volumes. In the mixing‐layer mode, the contracted flow was treated as a single control volume. Those semi‐analytical models were validated using 3D numerical results and experimental data collected in laboratory‐scale confluence. The validation results demonstrate that both the proposed models could be applied to their respective shear layer modes to accurately predict the maximum longitudinal flow velocity.
Journal Article
Thermal Contact Conductance-Based Thermal Behavior Analytical Model for a Hybrid Floor at Elevated Temperatures
2020
Hybrid floors infilled with polymeric materials between two steel plates were developed as a prefabricated floor system in the construction industry. However, the floor’s fire resistance performance has not been investigated. To evaluate this, fire tests suggested by the Korean Standards should be performed. As these tests are costly and time consuming, the number of variables were limited. However, many variables can be investigated in other ways such as furnace tests and finite element analysis (FEA) with less cost and time. In this study, furnace tests on heated surface areas smaller than 1 m2 were conducted to investigate the thermal behavior of the hybrid floor at elevated temperatures. To obtain the reliability of the proposed thermal behavior analytical (TBA) model, verifications were conducted by FEAs. Thermal contact conductance including interfacial thermal properties between two materials was adopted in the TBA model, and the values at elevated temperatures were suggested based on thermo-gravimetric analyses results and verified by FEA. Errors between the tests and TBA model indicated that the model was adequate in predicting the temperature distribution in small-scale hybrids. Furthermore, larger furnace tests and analysis results were compared to verify the TBA model’s application to different sized hybrid floors.
Journal Article
Characterization and modeling of granular jamming: models for mechanical design
by
Delchambre, Alain
,
Bertrand, François
,
Lambert, Pierre
in
Bending modulus
,
Cantilever beams
,
Compression tests
2021
The use of granular jamming is proposed for designing structures with tunable rigidity of their tools (with the ability of being flexible devices for shaping and deformation but rigid for shape-locking and force transmission). The granular jamming consists in modifying the apparent rigidity of a structure by controlling the vacuum in a membrane filled with granular material. When the difference of pressure is low, the grains are free to move with respect to each other and the structure is flexible. When the vacuum in the membrane is increased, the grains are blocked and the structure is more rigid. Different mechanical characterizations of the granular jamming have been performed (triaxial compression and tension and cantilever beam bending tests) for different glass bead sizes ranging between 100 μm and 1 mm (used as granular material) at different vacuum levels (between 0 kPa and 90 kPa). The grain size slightly influences the stiffness while the pressure difference is the main parameter to tune the stiffness of the structure. Based on these experiments, analytical models have been developed and validated. The tension characteristics can be directly deduced from the compression behavior and the bending modulus can be obtained by a combination of the tension and compression moduli. The proposed analytical models present the advantage of a simple formulation and are suitable for estimating the performance of other structures based on the granular jamming. The models can estimate and predict satisfactorily the results of granular jamming and can be used for designing mechanical structures based on this mechanism.
Journal Article
Comparison of Analytical Solutions for Salt Intrusion Applied to the Modaomen Estuary
2015
Xu, Y.; Zhang, W.; Chen, X.; Zheng, J.; Chen, X., and Wu, H., 2015. Comparison of analytical solutions for salt intrusion applied to the Modaomen Estuary. Salt intrusion in estuaries is an urgent environmental challenge across the world, because salinity influences water quality. The Modaomen Estuary is the main source of freshwater supply in the economically advanced Pearl River Delta, and it is experiencing a salt intrusion problem. Analytical models of salinity variation offer a simple and efficient approach to studying salt intrusion in estuaries. In this paper, two analytical models used worldwide to assess salinity variation in alluvial estuaries are applied to the Modaomen Estuary. The models are derived from salt convection-dispersion equations, with different assumptions for the dispersion coefficient. The performance of these two models was evaluated by comparing their results with field measurements; this revealed that both analytical models apply well to both the estimation of salinity distribution and the prediction of salt intrusion in the Modaomen Estuary. One model agrees more with the field measurements of salinity distribution along the estuary; the second better predicts salt intrusion length.
Journal Article
DIGITAL TRANSFORMATION: PROPOSED THEORETICAL-ANALYTICAL MODEL FOR VALUE GENERATION
by
de Oliveira, Bruna Xavier
,
de Ávila Fialho, Waldiane
,
Pereira, Frederico Cesar Mafra
in
analytical model for digital transformation
,
analítico para la transformación digital
,
analítico para transformação digital
2023
Purpose of the study: The objective of the study was to identify the main strategic domains and their characteristics that enable the proposition of a theoretical-analytical model for implementation and analysis of Digital Transformation (DT) in organizations. Relevance/originality: Proposition of a theoretical-analytical model for implementing and analyzing Digital Transformation (DT) in organizations, based on the 'state of the art' of the topic (national and international literature from 2017 to 2021), composed of eight strategy domains (or dimensions). Methodology/approach: Systematic Literature Review, using the Scopus and Web of Science databases as a source of consultation and data collection, between 2017 and 2021, whose selection was based on reading the titles and abstracts of 296 articles, 26 of which were selected for this work. Main results: Identification of the main strategy domains inherent to DT and its characteristics -customers, data, competition, innovation, value generation, competencies, culture, and agility, which enabled the structuring and proposition of a theoretical-analytical model for implementation and analysis of (DT) in organizations. Theoretical/methodological contributions: From a theoretical-academic point of view, by extending investigative and analytical research on the topic of Digital Transformation into the interdisciplinary and multidisciplinary field of Information Science, Business Administration, and Computing, and the consequent generation of new knowledge for such fields. Social/management contributions: From the organizational point of view, by proposing a framework that is not only theoretical, but also applied, allowing the implementation and analysis of DT, and its consequent generation of value for the various types and levels of users, besides the business itself.
Journal Article
Flow over Flexible Vegetated Bed: Evaluation of Analytical Models
by
Cassan, L.
,
Dartus, D.
,
Soualmia, A.
in
Computational fluid dynamics
,
Engineering Sciences
,
Environmental risk
2019
The development of vegetation in the river bed and in the banks can affect the hydrodynamic conditions and the flow behavior of a watercourse. This can increase the risk of flooding and sediment transport. Therefore, it is important to develop analytical approaches to predict the resistance caused by vegetation and model its effect on the flow. This is the objective of this work which investigates the ability of different analytical models to predict the vertical velocity profile as well as the resistance induced by flexible submerged vegetation in open channels. Then it is possible to select the appropriate model that will be applied in the real case of rivers. The model validation is determined after a comparison between the data measured in the different experiments carried out and those from literature. For dense vegetation, the role of the Reynolds number is emphasized in particular with a model using the Darcy-Brinkman equation in the canopy. With a simple permeability, this model is relevant to estimate friction. However, for larger Reynolds number, models based on the fully turbulent flow assumption provide better results.
Journal Article