Single Inlet Research Articles

Multi-objective optimization design of S-shaped inlet with internal bump

The multi-objective optimization design of S-shaped inlet with internal bump, considering both its aerodynamic and electromagnetic performance, is presented in this paper. The parametric design of S-shaped inlet with internal bump is carried out based on curvature control regulations, and the aerodynamic and electromagnetic characteristics of the inlet are obtained by means of Computational Fluid Dynamics (CFD) and Forward-Backward Iterative Physical Optics (FBIPO) methods, respectively. Subsequently, the Multi-objective Particle Swarm Optimization (MOPSO) algorithm based on Radial Basis Function (RBF) neural network is adopted to optimize the inlet for better performance, and the performance of the two non-dominated solutions selected from Pareto front is compared with the original model and the single S-shaped inlet. The results show that the shape of Best-1 is similar to the original model, except that the middle control plane of Best-1 is closer to the throat. The aerodynamic and electromagnetic characteristics of Best-1 are improved, and the corresponding objective functions are reduced by 29.82% and 40.55%, respectively. In contrast, the Best-2 model has a higher center offset at the first S bending section of the duct, leading to a further improvement in the electromagnetic characteristics, and the electromagnetic objective function is reduced by 70.33%. However, the flow quality of Best-2 model is deteriorated due to the large deflection of the airflow, with the aerodynamic objective function increasing by 70.47%. Although the aerodynamic performance of Best-2 has been reduced, its value can still meet the design requirements. Therefore, due to the considerable improvement of its electromagnetic characteristics, Best-2 will be selected as the optimal solution.

Computational Inertial Microfluidics: Optimal Design for Particle Separation

Following the emergence of many blood transfusion-associated diseases, novel passive cell separation technologies, such as microfluidic devices, are increasingly designed and optimized to separate red blood cells (RBCs) and white blood cells (WBCs) from whole blood. These systems allow for the rapid diagnosis of diseases without relying on complicated and expensive hematology instruments such as flow microscopes, coagulation analyzers, and cytometers. The inertia effect and the impact of intrinsic hydrodynamic forces, the Dean drag force (FD), and the inertial lift force (FL) on the migration of particles within curved and complex confined channels have been explored theoretically, computationally, and experimentally. This study aimed to optimize the dimensions of a microfluidic channel for fast particle propagation and separation. Several spiral geometries with different cross-sections were tested using computational fluid dynamics (CFD) to separate two particle types representing RBCs and WBCs. The chosen three geometries consist of a single inlet, two outlets, and three spiral turns, each having a different cross-sectional height (120, 135, and 150 µm). Particle separation was successfully achieved in the 135 µm-height microchannel, while other microchannels demonstrated mixed particle types at the outlets.

Effect of Different Inlet/Outlet Port Configurations on the Thermal Management of Prismatic Li-Ion Batteries

Abstract The performance and life cycle of Li-ion batteries are governed by the maximum temperature and uniformity of temperature distribution in the battery pack, and an efficient thermal management system is highly desired to keep the operating temperature of the battery pack within safe operating limits. Air cooling has received extensive attention in the area of battery thermal management. However, performance intensification of air-cooling modules is essential while keeping the simplicity of design to satisfy the weight and space constraints of electric vehicle (EV) applications. In the current work, efforts have been made to design a simple and generalized air-cooling module for efficient thermal management of Li-ion batteries. The current work explored the effect of two common air flow configurations: side inlet and side outlet (SS) and side inlet and front outlet (SF), with different number of inlet/outlet ports (single inlet and single outlet, single inlet and two outlets, two inlets and single outlet, and two inlets and two outlets) on the thermal and hydraulic performance of Li-ion battery pack. Subsequently, a new design of battery module with an open outlet port is proposed. It is observed that the way fluid leaves the cooling module significantly influences the flow and temperature distribution uniformity of the battery pack. Significant improvement in the fluid flow distribution and lower temperature fluctuation are maintained by the SF designs as compared to the SS designs. Among all SS designs, only SS-Ib at Vin ≥ 5.6 m/s and SS-IV at Vin ≥ 4.8 m/s are found suitable for the thermal management of Li-ion battery pack, whereas all SF designs maintained desired Tmax and ΔTmax conditions at Vin ≥ 4.8 m/s. Furthermore, the new design (SF-V) with an open outlet results in the reduction of Tmax by 7 °C and ΔTmax by 64.5% as compared to base design (SS-Ia) at the same pressure drop penalty.

Effect of inlet volute wrap angle on the flow field and performance of double inlet gas cyclones

In response to the divergent understanding of double inlet cyclone performance in the literature, the effect of inlet volute wrap angle on the performance and flow field of double inlet cyclone separator was studied by Computational Fluid Dynamic (CFD) method. The results showed that the inlet volute wrap angle can affect the comparison results of the single and double inlet gas cyclones with the same total inlet cross-sectional area and velocity. 0° and 90° volute double inlet improved the efficiency mainly by separating particles below 10 μm, while 180° volute double inlet had no separation advantage for any particles, so the symmetrical double inlet does not always improve the efficiency, and the appropriate inlet volute wrap angle should be selected according to the actual situation, otherwise, the expected performance requirements of the symmetrical double inlet cyclone cannot be achieved. Compared with the flow field, it is found that the inlet volute wrap angle changed the tangential velocity of the symmetrical double inlet cyclone separator, thus changing the performance.

Influence of fluid inlet–outlet on hydrothermal evaluation for different serpentine mini‐channel heat sink configurations

AbstractIn the current study, numerical and experimental investigations of the hydrothermal performance of three configurations of a serpentine mini‐channel heat sink (MCHS) were conducted. The outcome of one inlet with two outlets has been studied for two new models, namely, A and B, and compared with the traditional MCHS model. Model A has a central side single inlet, then the channel is directly split and the two outlets are on the other side. In Model B, the single side inlet passes to the other side, and then it splits and the outlets are on the same inlet side. The numerical solution is obtained by using the commercial ANSYS Fluent 2020 R2 under laminar flow conditions. The current study's numerical results were compared and validated with the experimental results of the traditional model. The results reveal that the total performance factor has considerably improved, according to the findings for the model (A and B). The average total hydrothermal performance for Model B is 1.48 and for Model A is 1.53 as compared to the traditional MCHS. However, the temperature distribution, maximum base temperature, Nusselt number, and thermal resistance of Model B are best as compared to Model A.

Improving the 3D Printability of Sugar Glass to Engineer Sacrificial Vascular Templates.

A prominent obstacle in scaling up tissue engineering technologies for human applications is engineering an adequate supply of oxygen and nutrients throughout artificial tissues. Sugar glass has emerged as a promising 3D-printable, sacrificial material that can be used to embed perfusable networks within cell-laden matrices to improve mass transfer. To characterize and optimize a previously published sugar ink, we investigated the effects of sucrose, glucose, and dextran concentration on the glass transition temperature (Tg), printability, and stability of 3D-printed sugar glass constructs. We identified a sucrose ink formulation with a significantly higher Tg (40.0 ± 0.9°C) than the original formulation (sucrose-glucose blend, Tg = 26.2 ± 0.4°C), which demonstrated a pronounced improvement in printability, resistance to bending, and final print stability, all without changing dissolution kinetics and decomposition temperature. This formulation allowed printing of 10-cm-long horizontal cantilever filaments, which can enable the printing of complex vascular segments along the x-, y-, and z-axes without the need for supporting structures. Vascular templates with a single inlet and outlet branching into nine channels were 3D printed using the improved formulation and subsequently used to generate perfusable alginate constructs. The printed lattice showed high fidelity with respect to the input geometry, although with some channel deformation after alginate casting and gelation-likely due to alginate swelling. Compared with avascular controls, no significant acute cytotoxicity was noted when casting pancreatic beta cell-laden alginate constructs around improved ink filaments, whereas a significant decrease in cell viability was observed with the original ink. The improved formulation lends more flexibility to sugar glass 3D printing by facilitating the fabrication of larger, more complex, and more stable sacrificial networks. Rigorous characterization and optimization methods for improving sacrificial inks may facilitate the fabrication of functional cellular constructs for tissue engineering, cellular biology, and other biomedical applications.

Inflatable Origami: Multimodal Deformation via Multistability

AbstractInflatable structures have become essential components in the design of soft robots and deployable systems as they enable dramatic shape change from a single pressure inlet. This simplicity, however, often brings a strict limitation: unimodal deformation upon inflation. Here, multistability is embraced to design modular, inflatable structures that can switch between distinct deformation modes as a response to a single input signal. This system comprises bistable origami modules in which pressure is used to trigger a snap‐through transition between a state of deformation characterized by simple deployment to a state characterized by bending deformation. By assembling different modules and tuning their geometry to cause snapping at different pressure thresholds, structures capable of complex deformations that can be pre‐programmed and activated using only one pressure source are created. This approach puts forward multistability as a paradigm to eliminate a one‐to‐one relation between input signal and deformation mode in inflatable systems.

Analytical investigation over the Four Inlet C & D Nozzle Using Ansys

The engine's interpretative thrust production, such as nozzles, has been restructured for higher staging. Modern expansions of combustion systems, such as rocket nozzles, will be adjusted to meet the needs of today's applications. In this paper an analytical study of fluid flow in a convergent-divergent nozzle with 4 inlets the nozzle is design with a convergent angle of 45 and a divergent angle of 15. we have observed the CFD of the C-D nozzle by swerving the inlet Mach parameter from 2,2.5,3,3.5,4,4.5,5 This study observed the usage of the usage of the four inlets in the convergent and the divergent nozzle rather that a single inlet the study is caried out in the in the 2-D Simulation the Design of the nozzle is performed in the Solid-Works software and the simulation is performed in the Ansys fluent Software. The counter of the flow is been observed. The results concluded that in the analytic study the usage of the 4- Inlet is better than the single inlet. Key Words: Ansys, convergent-divergent nozzle, nozzle, CFD, Mach number

Optimization of the flow distribution in a gyrotron cavity using evolutionary CFD simulations driven by a genetic algorithm

The steadily increasing performance requested to gyrotrons, to comply with their function of heating and current drive in fusion reactors, put a progressively increasing burden on the heat removal from the interaction cavity, where the heat flux can easily reach 20 MW/m2 on its inner surface. The cavity is actively cooled by subcooled water in forced flow in an annular region, and the water flow typically enters and exits through a single inlet and outlet. The high-speed flow entering from the inlet potentially drives an inhomogeneous flow azimuthally in the cavity region, but helps in locally bursting the heat removal due to the impinging effect of the cold-water flow. Here a new design of the water inlet in the cavity region is performed through a simplified genetic algorithm, in such a way that the flow homogeneity in the gyrotron cavity is maximized, without reducing the beneficial cooling due to the impact of the water jet on the cavity wall. The presence of multiple holes feeding the cavity, with their azimuthal location driven by the genetic algorithm, is analyzed through Computational Fluid Dynamics (CFD) simulations. Once the multi-inlet location is optimized, the dimension of the inlet holes is tuned to burst the heat transfer effect, reaching a high level of temperature and flow homogeneity in the cavity.

FRESH 3D Bioprinted Collagen‐based Resistance Vessels and Multiscale Vascular Microfluidics

The pursuit of an ideal model system to study the pathophysiology of vascular disease has included the use of tissue engineered blood vessels (TEBV), vascularizing engineered volumetric tissue, silicone‐based “organ‐on‐a‐chip” platform, and tissue decellularization; yet we are still far from generating engineered vascular tissue that recapitulate native physiology. Despite advances such as 3D bioprinting that have led to new approaches for creating fluidic channels, it remains challenging to produce continuous networks with vessels ranging from large (>6 mm) to small (<1 mm) using native‐like extracellular matrix (ECM) that recapitulates the mechanical properties, geometric organization, and complexity of the cellular and extracellular microenvironment. An ideal engineering strategy would combine the controlled fluid flow achieved by organ‐on‐a‐chip platforms with the ECM structure, composition, and biomechanics of decellularized tissue. Here, using Freeform Reversible Embedding of Suspended Hydrogels (FRESH) 3D bioprinting, we spatially define ECM composition and vascular geometry to create collagen‐based microfluidics and an engineered resistance artery scaffold to study how ECM composition, mechanical properties, and fluid flow contribute to vascular disease. A 3D vascular microfluidic CAD model was designed with a hierarchically branching network containing a single inlet and outlet of 1 mm that branched down to 250 µm channels embedded within a collagen scaffold. This model was FRESH printed with 24 mg/mL collagen‐I and yielded a high‐fidelity scaffold with patent internal vasculature. 3D imaging and gauging analysis of the CAD model compared to the collagen scaffold revealed an average positive deviation of 9.9 µm and an average negative deviation of 56.3 µm. To interface with and perfuse the soft collagen microfluidic scaffold we 3D printed a custom bioreactor chamber for long‐term culture capable of >1‐week perfusion under physiological conditions. In addition to embedded vascular networks, FRESH bioprinting allows for direct fabrication of suspended vessels. We designed an ECM scaffold scaled to match a resistance vessel consisting of a collagen‐I frame and suspended vessel (inner diameter of 300 µm, outer diameter of 500 µm). The collagen frame provides overall scaffold stability and allows interfacing to the custom perfusion bioreactor. Using multimaterial FRESH printing, we varied the ECM composition by patterning fibronectin along the inner lumen and collagen‐I within the outer adventitial wall. Biomechanical evaluation using pressure and wire myography revealed a burst pressure >140 mmHg and an average peak tension of 600 mg, comparable to mouse mesenteric resistance arteries. Together, this work highlights the exciting potential for ECM‐based microfluidic scaffolds and vascular tissue engineering that will set the foundation for future work to replicate a healthy and hypertensive vessel microenvironment. In addition to vascular biology, the collagen‐based microfluidics are amenable to other organ systems, and can be utilized to study cell proliferation, metastasis, and ECM remodeling in a 3D environment.

Mechanisms of Estuarine Salt‐Plug Formation by an Along‐Shelf Buoyant Current: A Numerical Model Approach

AbstractWhile estuarine salt plugs can develop worldwide in basins adjacent to buoyant coastal currents, their formation has been scarcely documented. This study aims to investigate a mechanism for salt‐plug formation that disregards evaporation processes but involves a buoyant coastal current modified by wind stresses. A numerical model, Delft3D, is used to study the salt‐plug formation in an idealized bay connected to the ocean by a single inlet. Inspired by recent observations, the numerical experiments simulate eight different scenarios of tidal and wind forcing under the influence of an along‐shelf buoyant current. Results show salt‐plug formation that induces inverse exchange at the inlet, with inflow at the surface and outflow underneath. This exchange circulation is modified by wind action. The persistence of the salt plug depends on tidal flushing and on wind forcing. Two numerical experiments with nonstationary buoyant currents and nonstationary winds indicate that: (a) a salt plug forms when a buoyant current is active on the shelf and traps salty water that enters the bay during times of buoyant current relaxation; (b) the presence of the buoyant current induces an inverse circulation at the inlet, modified by the wind action; and (c) onshore and then downwelling winds enhance the inverse circulation at the inlet, while offshore and then upwelling winds stall it. Bay flushing times increase due to the presence of the salt plug. This study represents an initial attempt to identify the role of wind and buoyant coastal currents on salt‐plug formation.

Pesticide concentrations in agricultural storm drainage inlets of a small Swiss catchment

Agricultural pesticides transported to surface waters pose a major risk for aquatic ecosystems. Modelling studies indicate that the inlets of agricultural storm drainage systems can considerably increase the connectivity of surface runoff and pesticides to surface waters. These model results have however not yet been validated with field measurements. In this study, we measured discharge and concentrations of 51 pesticides in four out of 158 storm drainage inlets of a small Swiss agricultural catchment (2.8 km2) and in the receiving stream. For this, we performed an event-triggered sampling during 19 rain events and collected plot-specific pesticide application data. Our results show that agricultural storm drainage inlets strongly influence surface runoff and pesticide transport in the study catchment. The concentrations of single pesticides in inlets amounted up to 62 µg/L. During some rain events, transport through single inlets caused more than 10% of the stream load of certain pesticides. An extrapolation to the entire catchment suggests that during selected events on average 30 to 70% of the load in the stream was transported through inlets. Pesticide applications on fields with surface runoff or spray drift potential to inlets led to increased concentrations in the corresponding inlets. Overall, this study corroborates the relevance of such inlets for pesticide transport by establishing a connectivity between fields and surface waters, and by their potential to deliver substantial pesticide loads to surface waters.

A direct contact cooler design for simultaneously recovering latent heat and capturing SOx and NOx from pressurized flue gas

Integrated SOx and NOx removal technology using a direct contact cooler is a promising alternative for cleaning coal combustion flue gas, especially for pressurized combustion systems. Past investigations of integrated SOx and NOx removal have been limited to low-temperature processes, where the flue gas has been cooled upstream of the removal unit, and the moisture in the flue gas has been condensed out. This work presents a novel design that recovers the flue gas heat while simultaneously removing SOx and NOx in a single reactive-absorption column – direct contact cooler. A validated model was used to evaluate different direct contact cooler designs. Modeling results suggested that a counter-current column with a single water inlet can scrub 83% of the NOx and 96.5% of the SOx in 115 s, while an optimized design with multiple water inlets enhances the scrubbing of NOx by 9 percentage points and SOx by 3.5 percentage points, due to a 34% increase in residence time. It is also observed that the liquid-phase reaction between absorbed SOx and NOx plays a significant role in the removal of SO2 from the flue gas for high-temperature scrubbing compared with low-temperature scrubbing. The design reinforces the potential of high-temperature SOx-NOx removal and heat recovery and suggests a means of reducing capital costs for such columns.

Efeitos de diferentes configurações de embocadura na qualidade da água de um complexo estuarino-lagunar no nordeste do Brasil

ABSTRACT The Mundaú-Manguaba Estuary Lagoon Complex (CELMM), located on the coast of Alagoas state in Northeastern Brazil, consists of two choked coastal lagoons connected to the Atlantic Ocean by a series of narrow channels, establishing a single tidal inlet, which dynamically alters their position. This study uses the modeling system SisBaHiA® (in Portuguese, Sistema Hidrodinâmico Ambiental) and Trophic Index (TRIX) to evaluate how morphological changes in the CELMM can influence the water quality of the lagoons. The results showed that water quality is mainly influenced by river discharge regimes, with no major changes in the region of the tidal inlet for the three simulated years (2006, 2014 and 2017). Trophic index showed greater changes in the rainy season, with a decline in values as river discharge increases, mainly in the northwest and central portions of the Mundaú Lagoon. In the Manguaba Lagoon an opposite pattern was found, namely a rise in the Trophic index with increased river discharges.

PIV experimental study of airflow structures in a multi-slot ventilation enclosure with opposed jets

The airflow structure of enclosure directly affects the spread of COVID-19 and is also closely related to indoor air quality, thermal comfort of personnel, and building energy consumption. Although a large number of studies on the airflow field have been conducted under mixing and displacement ventilation with a single air inlet in rectangular rooms. However, to the best of the authors knowledge, only a limited number of studies have dealt with airflow structures in a multi-slot ventilation enclosure with opposed jets. Therefore, this paper uses PIV to study the velocity and entropy of unstable airflow field in a multi-slot ventilation enclosure with opposed jets under isothermal and non-isothermal conditions. And this paper presents due to the collision of the jets to form two large-scale eddies, the airflow field structure being unstable. In the region without air supply inlets and exhaust outlets, a large-scale vortex is formed in the airflow field, resulting in high information entropy of the flow field. The thermal plume suppresses the large-scale flow field structure and increases the small-scale flow field structure.

The Numerical Modeling of Gas Movement in a Single Inlet New Generation Multi-Channel Cyclone Separator

The work of traditional cyclones is based on the separation of solid particles using only the centrifugal forces. Therefore, they do not demonstrate high gas-cleaning efficiency, particularly in the cases where gas flows are polluted with fine solid particles (about 20 µm in diameter). The key feature of a new-generation multi-channel cyclone separator’s structure is that its symmetrical upgraded curved elements, with openings cut with their plates bent outwards, make channels for the continuous movement of the gas flows from the inflow opening to the central axis. The smoke flue of the vertical gas outflow is located near the cover of the separating chamber. The present work is aimed at studying the applicability of two various viscosity models and their modified versions to simulate aerodynamic processes in an innovative design for a multi-channel cyclone separator with a single inflow, using the computational fluid dynamics. The research results obtained in the numerical simulation are compared to the experimental results obtained using a physical model. The main purpose of this study is to provide information on how the new design for the multi-channel cyclone affects the distribution of gas flow in the cyclone’s channels. The modified viscosity models, k-ε and k-ω, and computational meshes with various levels of detailed elaboration were analyzed. The developed numerical models of a single-inlet multi-channel cyclone separator allow the researchers to describe its advantages and possible methods of improving its new structure. The developed models can be used for simulating the fluid cleaning phenomenon in the improved fourth-channel cyclone separator and to optimize the whole research process.

Gas inlet impact on neutral density and recycle pattern with a disk shaped antenna in a miniature ion thruster through particle simulation

The gas inlet configuration has a direct impact on the neutral density pattern within a miniature ion thruster. We aimed to investigate the impact the gas inlet configuration and neutral density pattern will have on the neutral recycle rate within a miniature ion thruster utilizing a disk shaped antenna. Four inlet configurations were considered for this study, and 3D electromagnetic particle-in-cell simulation was utilized to simulate the plasma inside the discharge chamber. The simulation results indicate a clear shift in neutral density toward the inlet, with the single horizontal inlet configuration having a 45% increase in neutral density in the vicinity of the inlet walls. The neutral recycle rate also experienced a clear shift toward the inlet walls, with the single bottom inlet configuration experiencing a 23% increase in the rate of ion loss near the inlet wall and a similar 22% increase for the single horizontal inlet while the four smaller inlets had a similar rate of neutral recycling throughout. These results are a novelty in this field as they clearly indicate the impact gas inlet and neutral density have on the miniature ion thruster’s performance and open a new area of research to further optimize the gas inlet configuration for miniature ion thrusters.

A flow-through microfluidic chip for continuous dielectrophoretic separation of viable and non-viable human T-cells.

Effective methods for rapid sorting of cells according to their viability are critical in T cells based therapies to prevent any risk to patients. In this context, we present a novel microfluidic device that continuously separates viable and non-viable T-cells according to their dielectric properties. A dielectrophoresis (DEP) force is generated by an array of castellated microelectrodes embedded into a microfluidic channel with a single inlet and two outlets; cells subjected to positive DEP forces are drawn toward the electrodes array and leave from the top outlet, those subjected to negative DEP forces are repelled away from the electrodes and leave from the bottom outlet. Computational fluid dynamics is used to predict the device separation efficacy, according to the applied alternative current (AC) frequency, at which the cells move from/to a negative/positive DEP region and the ionic strength of the suspension medium. The model is used to support the design of the operational conditions, confirming a separation efficiency, in terms of purity, of 96% under an applied AC frequency of 1.5 × 106 Hz and a flow rate of 20μl/h. This work represents the first example of effective continuous sorting of viable and non-viable human T-cells in a single-inlet microfluidic chip, paving the way for lab-on-a-chip applications at the point of need.

Research on the Thermal Characteristics of an 18650 Lithium-Ion Battery Based on an Electrochemical–Thermal Flow Coupling Model

Aiming at the complex experimental conditions of multi-physical field coupling in the analysis of thermal characteristics of lithium-ion batteries, a three-dimensional electrochemical-thermal flow coupling model for lithium-ion batteries was established using COMSOL Multiphysics software. Through the analysis of simulation results, the thermal characteristics of lithium-ion batteries for electric vehicles were explored from the aspects of heat generation and dissipation. It was found that increasing the charge–discharge rate and the electrode thickness will increase the temperature rise rate of lithium-ion batteries, and the temperature rise rate of lithium-ion batteries is the highest during their first time charging and discharging. Increasing the airflow velocity and reducing the size of the inlet flow area can improve the cooling effect on the cell. Under a single inlet, the cooling effect of the airflow field entering from the negative electrode is better than that from the positive electrode.

Comparative Study on the Cooling Characteristics of Different Fill Layout Patterns on a Single Air Inlet Induced Draft Cooling Tower

To enhance the cooling capacity of a single air inlet induced draft cooling tower (SIDCT), the stepped fill layout pattern is proposed in this paper. A three-dimensional numerical model is established and validated by field measurement data. The cooling capacity of towers equipped with uniform fill and stepped fill is compared under various crosswind velocities (0 m/s–12 m/s) and crosswind angles (0°–180°). The results showed that the ventilation rate of the total tower with stepped fill is increased. Under the studied crosswind velocity and angle, the cooling capacity of the stepped fill tower is superior to the uniform fill tower. After using stepped fill, the mean drop of outlet water temperature rises by 0.29 °C, 0.27 °C, 0.17 °C, 0.10 °C, and 0.19 °C, corresponding to crosswind angles from 0° to 180°. The increment of cooling capacity is the maximum under the crosswind angles of 0° and 45° and is the minimum under the crosswind angles of 90° and 135°. The maximum increased value of N is 0.65 under the crosswind velocity of 4 m/s, 0.85 under 8 m/s, and 0.95 under 12 m/s.