The Regularity Criteria and the A Priori Estimate on the 3D Incompressible Navier-Stokes Equations in Orthogonal Curvilinear Coordinate Systems by Fan Geng, Shu Wang, Yongxin Wang

“…We establish one regularity criteria of the weak solutions involving only in a vorticity component ω3 and one a priori estimate on the solution that H3u3L∞0,T;Lpℝ3 is bounded for 1≤p≤∞ to three-dimensional incompressible Navier-Stokes equations in orthogonal curvilinear coordinate systems. …”
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APPLICATION OF LEXICOGRAPHIC METHODS IN FINDING NEW SOLUTIONS FOR THE CONSTRUCTION OF SWITCH FAUCETS by VLAD ANDREI CIUBOTARIU, IONEL OLARU, CRINA MARIA RADU, COSMIN GRIGORAS

“…Thus, the pressure, flow, velocity variation and degree of fluid vorticity have better values for the faucet body obtained by applying the lexicographic method. …”
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Numerical Investigation on Vortex Shedding from a Hydrofoil with a Beveled Trailing Edge by Seung-Jae Lee, Jun-Hyeok Lee, Jung-Chun Suh

“…The hybrid particle-mesh method and the vorticity-based subgrid scale model were employed to simulate these turbulent wake flows. …”
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Investigation of Swirling Flows in Mixing Chambers by Jyh Jian Chen, Chun Huei Chen

“…The combination of the Taylor dispersion and the vorticity was first introduced and made the mixing successful. …”
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A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids by Hongwei Yang, Qingfeng Zhao, Baoshu Yin, Huanhe Dong

“…From rotational potential vorticity-conserved equation with topography effect and dissipation effect, with the help of the multiple-scale method, a new integro-differential equation is constructed to describe the Rossby solitary waves in deep rotational fluids. …”
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Vortex Simulation of the Bubbly Flow around a Hydrofoil by Tomomi Uchiyama, Tomohiro Degawa

“…The vortex method, proposed by the authors for gas-liquid two-phase free turbulent flow in a prior paper, is applied for the simulation. The liquid vorticity field is discrerized by vortex elements, and the behavior of vortex element and the bubble motion are simultaneously computed by the Lagrangian approach. …”
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Modal Analysis and Flow through Sectionalized Pipeline Gate Valve Using FEA and CFD Technique by Desejo Filipeson Sozinando, Bernard Xavier Tchomeni, Alfayo Anyika Alugongo

“…The CFD suggests that the sectionalized design of the gate valve leads to a strong vorticity of the fluid in the transversal direction of the flow and a decrease in efficiency due to pressure drop.…”
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Laminar Wall Jet Flow and Heat Transfer over a Shallow Cavity by P. Maheandera Prabu, K. P. Padmanaban

“…Results are presented for streamline contour, velocity contour, and vorticity formation at wall and also velocity profiles are reported. …”
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Ignition by Hot Transient Jets in Confined Mixtures of Gaseous Fuels and Air by Abdullah Karimi, M. Razi Nalim

“…Shock wave traverse of the reaction zone is seen to significantly increase the overall reaction rate, likely due to compression heating, as well as baroclinic vorticity generation that stirs and mixes reactants and increases flame area. …”
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Online Projective Integral with Proper Orthogonal Decomposition for Incompressible Flows Past NACA0012 Airfoil by Sirod Sirisup, Montri Maleewong

“…The second and the third POD modes assist the first mode by correcting magnitudes and phases of vorticity fields. However, adding the fifth POD mode in the model leads to some incorrect results in phase-shift forms for both drag and lift coefficients. …”
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Smoke Simulation with Detail Enhancement in Ship Fires by Rui Tao, Hongxiang Ren, Xiao Yang, Delong Wang, Jian Sun

“…Next, the vortex particles are sampled within the grid, and the loss of vorticity is measured before and after vortex stretching to compensate for the missing smoke details. …”
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Impact of a Diagnostic Pressure Equation Constraint on Tornadic Supercell Thunderstorm Forecasts Initialized Using 3DVAR Radar Data Assimilation by Guoqing Ge, Jidong Gao, Ming Xue

“…It is found that the experiments using DPEC generally predict higher low-level vertical vorticity than the experiments not using DPEC near the time of observed tornadoes. …”
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A quasi-lumped model for the peripheral distortion of the arterial pulse by Panagiotes A. Voltairas, Antonios Charalambopoulos, Dimitrios I. Fotiadis, Lambros K. Michalis

“…We report that close to the heart, convection effects related to the change in the magnitude of the velocity of blood dominate the alteration of the shape of the pressure pulse, while at remote sites of the vascular tree, convection of vorticity, related to the change in the direction of the velocity of blood with respect to a mean axial flow, prevails. …”
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Analysis of Pressure Pulsation Induced by Rotor-Stator Interaction in Nuclear Reactor Coolant Pump by Xu Zhang, Pengfei Wang, Xiaodong Ruan, Zhongbin Xu, Xin Fu

“…Besides, the vortex shedding or backflow from the impeller blade exit has the same frequency as pressure pulsation but there are phase differences, and it has been confirmed that the absolute value of phase differences reflects the vorticity intensity.…”
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A linear filter regularization for POD-based reduced-order models of the quasi-geostrophic equations by Girfoglio, Michele, Quaini, Annalisa, Rozza, Gianluigi

“…Our regularization is based on the so-called BV-$\alpha $ model, which modifies the nonlinear term in the QGE and adds a linear differential filter for the vorticity. To show the effectiveness of the BV-$\alpha $ model for ROM closure, we compare the results computed by a POD-Galerkin ROM with and without regularization for the classical double-gyre wind forcing benchmark. …”
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Amplification of Northern Hemisphere winter stationary waves in a warming world by Jueun Lee, S.-Y. Simon Wang, Seok-Woo Son, Daehyun Kim, Jee-Hoon Jeong, Hyungjun Kim, Jin-Ho Yoon

“…The streamfunction budget analysis reveals relative vorticity advection is mainly associated with this process. …”
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The Study of the Impact of Temperature and Wind In the Southern Low Pressure Systems by mahboobeh pouratashi, mohammad moradi, ebrahim fattahi

“…The results of wind speed changes showed that the increased (decreased) wind speed simulation caused an increase (decrease) in relative vorticity, thus the southern low pressure was intensified (weakened). …”
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Fluid–structure interaction in a follow-up study of arterio-venous fistula maturation by Daniel Jodko, Tracie Barber

“…The main findings revealed: a) counter-rotating vortices in the anastomosis cross-section affecting local pressure conditions; b) different temporal progression of vorticity, shear strain rate, and turbulent kinetic energy and similarity of the temporal progression of WSS obtained under the assumptions of the rigid-walled and FSI; c) a negligible low-WSS zone in the presented thrombosis-free AVF; d) migration of the zone of maximal temporal wall deformation over time.…”
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Aerodynamic Performance of a Passive Pitching Model on Bionic Flapping Wing Micro Air Vehicles by Jinjing Hao, Jianghao Wu, Yanlai Zhang

“…This phenomenon can be attributed to a vorticity moment whose component in the lift direction grows at a rapid speed. …”
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Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect by Punnamchandar Bitla, Yitagesu Daba Kore

“…Instead of the classical no-slip condition, the slip velocity along with vanishing couple stress boundary conditions is taken on the surface of the rigid cylinder, and continuity conditions of velocity, vorticity, shear stress, and couple stress are imposed at the fluid-fluid interface. …”
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