Pub Date : 2024-04-25DOI: 10.37394/232013.2024.19.17
Merouane Habib
In this work we present a numerical study on the effect of wind velocity on the aerodynamic and acoustic behavior of a Savonius-type vertical axis wind turbine (VAWT). The study focuses on the prediction of the torque coefficient for different flow velocities and rotational velocities of the wind turbine. We also present the triggering of the wake zone near the wind turbine blades to see the dynamic effect on the behavior of the wind turbine. The study of the numerical simulation is carried out using a fluent CFD calculation code using the finite volume method for the discretization of the differential equations. The equations governing the flow are solved by the SIMPLE algorithm using two K-epsilon turbulence models.
{"title":"Wind Velocity Effect on the Aerodynamic and Acoustic Behavior of a Vertical Axis Wind Turbine","authors":"Merouane Habib","doi":"10.37394/232013.2024.19.17","DOIUrl":"https://doi.org/10.37394/232013.2024.19.17","url":null,"abstract":"In this work we present a numerical study on the effect of wind velocity on the aerodynamic and acoustic behavior of a Savonius-type vertical axis wind turbine (VAWT). The study focuses on the prediction of the torque coefficient for different flow velocities and rotational velocities of the wind turbine. We also present the triggering of the wake zone near the wind turbine blades to see the dynamic effect on the behavior of the wind turbine. The study of the numerical simulation is carried out using a fluent CFD calculation code using the finite volume method for the discretization of the differential equations. The equations governing the flow are solved by the SIMPLE algorithm using two K-epsilon turbulence models.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"4 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140658234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-02DOI: 10.37394/232013.2024.19.15
Miguel Gil, Alexia Torres, Juan Pablo Fuertes, Javier Armañanzas, Javier Leon
In the present study, different configurations of a mooring line under a static case are analyzed using the CFD software SIMULIA XFLOW 2022X. Native XFlow geometries employed in the simulation of small springs are used to perform simulations of mooring systems, along with 6 DOF joints, and performing discretization depending on the necessities. Fairlead tensions are compared to experimental data of cables employed in the mooring of DeepCWind semisubmersible platform at 1/40 scale, and to computational model using OPASS. Additionally, the location of different points of the suspended chain in the resting catenary shape is compared to the Quasi-Static model.
{"title":"Suspended Mooring Line Static Analysis using Internal XFlow Capabilities","authors":"Miguel Gil, Alexia Torres, Juan Pablo Fuertes, Javier Armañanzas, Javier Leon","doi":"10.37394/232013.2024.19.15","DOIUrl":"https://doi.org/10.37394/232013.2024.19.15","url":null,"abstract":"In the present study, different configurations of a mooring line under a static case are analyzed using the CFD software SIMULIA XFLOW 2022X. Native XFlow geometries employed in the simulation of small springs are used to perform simulations of mooring systems, along with 6 DOF joints, and performing discretization depending on the necessities. Fairlead tensions are compared to experimental data of cables employed in the mooring of DeepCWind semisubmersible platform at 1/40 scale, and to computational model using OPASS. Additionally, the location of different points of the suspended chain in the resting catenary shape is compared to the Quasi-Static model.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"24 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140753455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-02DOI: 10.37394/232013.2024.19.13
Sayel M. Fayyad, Aiman Al Alawin, S. Abu-Ein, Zaid Abulghanam, Abdel Salam Alsabag, Mohannad O. Rawashdeh, Muntaser Momani, Waleed Momani
This paper presents a study of the aerodynamics of a wing or bluff bodies and compares different wing types' behavior against aerodynamic forces. NACA 4412 and NERL S823 airfoils will be analyzed numerically using the ANSYS simulation. The methodology used in this paper depends on collecting data from the last studies, studying the analyzed airfoil models, and constructing an analytical model to show the aerodynamic effects on NACA 4412 and NERL S823 airfoils, and find the total solution. A comparison between NACA 4412 airfoil and NREL'S S823 is presented. It was found that the lift coefficient for NACA 4412 values is higher than that of NREL S823 airfoil but for NACA 4412 such values are decreasing as the angle of attack (AoA) is increasing till 8ᵒ of AoA after that Cl values are increasing slightly. In contrast, for NREL S823 airfoil the values of lift coefficient (Cl) are increasing with AoA till 8ᵒ after that they become constant or slightly decreasing, while for drag coefficient, it can be noticed that values of drag coefficient (Cd) for NACA 4412 are lower than that of NREL S823 airfoils and for all values of angle of attack, also values for both airfoils are decreasing with AoA till 8° and then slightly increased.
{"title":"Aerodynamics Analysis Comparison between NACA 4412 and NREL S823 Airfoils","authors":"Sayel M. Fayyad, Aiman Al Alawin, S. Abu-Ein, Zaid Abulghanam, Abdel Salam Alsabag, Mohannad O. Rawashdeh, Muntaser Momani, Waleed Momani","doi":"10.37394/232013.2024.19.13","DOIUrl":"https://doi.org/10.37394/232013.2024.19.13","url":null,"abstract":"This paper presents a study of the aerodynamics of a wing or bluff bodies and compares different wing types' behavior against aerodynamic forces. NACA 4412 and NERL S823 airfoils will be analyzed numerically using the ANSYS simulation. The methodology used in this paper depends on collecting data from the last studies, studying the analyzed airfoil models, and constructing an analytical model to show the aerodynamic effects on NACA 4412 and NERL S823 airfoils, and find the total solution. A comparison between NACA 4412 airfoil and NREL'S S823 is presented. It was found that the lift coefficient for NACA 4412 values is higher than that of NREL S823 airfoil but for NACA 4412 such values are decreasing as the angle of attack (AoA) is increasing till 8ᵒ of AoA after that Cl values are increasing slightly. In contrast, for NREL S823 airfoil the values of lift coefficient (Cl) are increasing with AoA till 8ᵒ after that they become constant or slightly decreasing, while for drag coefficient, it can be noticed that values of drag coefficient (Cd) for NACA 4412 are lower than that of NREL S823 airfoils and for all values of angle of attack, also values for both airfoils are decreasing with AoA till 8° and then slightly increased.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"45 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140752096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-02DOI: 10.37394/232013.2024.19.16
A. El Harfouf, Rachid Herbazi, S. Mounir, Hassane Mes-Αdi, A. Wakif
The Casson fluid flow with porous material in magnetohydrodynamics is examined in this work. Additional semi-analytical results are investigated using the Silver-Water nanofluid. The Akbari-Ganji Method (AGM) is used to solve the semi-analytical Cattaneo-Christov heat flux model after taking thermal radiation into account. With the use of appropriate parameters, such as the relaxation time parameter, Prandtl number, radiation parameter, magnetic parameter, and so on, the normalized shear stress at the wall, temperature profile, and rate of heat flux may be examined. This issue has numerous industrial applications and technical procedures, such as the extrusion of rubber sheets and the manufacture of glass fiber. The main physical application is the discovery that a rise in the thermal relaxation parameter and Prandtl number maintains a constant fluid temperature.
{"title":"Non-Fourier Heat Flux Model for the Magnetohydrodynamic Casson Nanofluid Flow Past a Porous Stretching Sheet using the Akbari-Gangi Method","authors":"A. El Harfouf, Rachid Herbazi, S. Mounir, Hassane Mes-Αdi, A. Wakif","doi":"10.37394/232013.2024.19.16","DOIUrl":"https://doi.org/10.37394/232013.2024.19.16","url":null,"abstract":"The Casson fluid flow with porous material in magnetohydrodynamics is examined in this work. Additional semi-analytical results are investigated using the Silver-Water nanofluid. The Akbari-Ganji Method (AGM) is used to solve the semi-analytical Cattaneo-Christov heat flux model after taking thermal radiation into account. With the use of appropriate parameters, such as the relaxation time parameter, Prandtl number, radiation parameter, magnetic parameter, and so on, the normalized shear stress at the wall, temperature profile, and rate of heat flux may be examined. This issue has numerous industrial applications and technical procedures, such as the extrusion of rubber sheets and the manufacture of glass fiber. The main physical application is the discovery that a rise in the thermal relaxation parameter and Prandtl number maintains a constant fluid temperature.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"28 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140753168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-02DOI: 10.37394/232013.2024.19.14
R. Kavitha, M. Mahendran
This paper delves into the intricate interplay between chemical and thermal radiation in the context of an unstable magnetohydrodynamic(MHD) oscillatory flow through a porous medium. The fluid under investigation is presumed to be incompressible, electrically conductive, and radiating with the additional influence of a homogeneous magnetic field applied perpendicular to the channel’s plane. Analytical closedform solutions are derived for the momentum, energy, and concentration equations providing a comprehensive understanding of the system’s behavior. The investigation systematically explores the impact of various flow factors, presenting their effects through graphical representations. The governing partial differential equations (PDE) of the boundary layer are transformed into a set of coupled nonlinear ordinary differential equations (ODE) using a closed-form method. Subsequently, an artificial neural network (ANN) is applied to these ODEs, and the obtained results are validated against numerical simulations. The temperature profiles exhibit oscillatory behavior with changes in the radiation parameter (N), revealing insights into the system’s dynamic response. Furthermore, the paper uncovers that higher heat sources lead to increased temperature profiles. Additionally, concentration profiles demonstrate a decrease with escalating chemical reaction parameters, with a reversal observed as the Schmidt number (Sc) increases. This study highlights the efficacy of an ANN model in providing highly efficient estimates for heat transfer rates from an engineering standpoint. This innovative approach leverages the power of artificial intelligence to enhance our understanding of complex fluid magnetohydrodynamics and porous media flows.
本文以流经多孔介质的不稳定磁流体力学（MHD）振荡流为背景，深入探讨了化学辐射和热辐射之间错综复杂的相互作用。所研究的流体被假定为不可压缩、导电和辐射，并受到垂直于通道平面的均匀磁场的额外影响。分析得出了动量、能量和浓度方程的闭式解，从而全面了解了系统的行为。该研究系统地探讨了各种流动因素的影响，并通过图形表示法展示了其效果。采用闭式方法将边界层的偏微分方程（PDE）转换为一组耦合的非线性常微分方程（ODE）。随后，将人工神经网络（ANN）应用于这些 ODE，并根据数值模拟验证了所获得的结果。随着辐射参数（N）的变化，温度曲线呈现出振荡行为，揭示了系统的动态响应。此外，论文还发现，热源越多，温度曲线越高。此外，浓度曲线随着化学反应参数的增加而下降，随着施密特数（Sc）的增加而逆转。这项研究强调了 ANN 模型在从工程角度提供高效热传导率估算方面的功效。这种创新方法利用了人工智能的力量，增强了我们对复杂流体磁流体力学和多孔介质流动的理解。
{"title":"Influence of Chemical and Radiation on an Unsteady MHD Oscillatory Flow using Artificial Neural Network (ANN)","authors":"R. Kavitha, M. Mahendran","doi":"10.37394/232013.2024.19.14","DOIUrl":"https://doi.org/10.37394/232013.2024.19.14","url":null,"abstract":"This paper delves into the intricate interplay between chemical and thermal radiation in the context of an unstable magnetohydrodynamic(MHD) oscillatory flow through a porous medium. The fluid under investigation is presumed to be incompressible, electrically conductive, and radiating with the additional influence of a homogeneous magnetic field applied perpendicular to the channel’s plane. Analytical closedform solutions are derived for the momentum, energy, and concentration equations providing a comprehensive understanding of the system’s behavior. The investigation systematically explores the impact of various flow factors, presenting their effects through graphical representations. The governing partial differential equations (PDE) of the boundary layer are transformed into a set of coupled nonlinear ordinary differential equations (ODE) using a closed-form method. Subsequently, an artificial neural network (ANN) is applied to these ODEs, and the obtained results are validated against numerical simulations. The temperature profiles exhibit oscillatory behavior with changes in the radiation parameter (N), revealing insights into the system’s dynamic response. Furthermore, the paper uncovers that higher heat sources lead to increased temperature profiles. Additionally, concentration profiles demonstrate a decrease with escalating chemical reaction parameters, with a reversal observed as the Schmidt number (Sc) increases. This study highlights the efficacy of an ANN model in providing highly efficient estimates for heat transfer rates from an engineering standpoint. This innovative approach leverages the power of artificial intelligence to enhance our understanding of complex fluid magnetohydrodynamics and porous media flows.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"29 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140752700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-14DOI: 10.37394/232013.2024.19.6
B. Babajanov, F. Abdikarimov
In this article, we use the functional variational method to solve the Burgers equation with an additional time-dependent variable coefficient. The main advantage of the proposed method over other methods is that it allows to obtain more new solutions of the equation. Among the solutions obtained, new soliton solutions should be noted, which are of great importance for revealing the internal mechanism of physical phenomena. Three-dimensional graphs of solutions are constructed using the mathematical program Matlab. For a better understanding of the physical properties of some of the resulting solutions, their graphical representations are shown. This method is effective for finding exact solutions to many other similar wave equations.
{"title":"New Soliton Solutions of the Burgers Equation with Additional Time-dependent Variable Coefficient","authors":"B. Babajanov, F. Abdikarimov","doi":"10.37394/232013.2024.19.6","DOIUrl":"https://doi.org/10.37394/232013.2024.19.6","url":null,"abstract":"In this article, we use the functional variational method to solve the Burgers equation with an additional time-dependent variable coefficient. The main advantage of the proposed method over other methods is that it allows to obtain more new solutions of the equation. Among the solutions obtained, new soliton solutions should be noted, which are of great importance for revealing the internal mechanism of physical phenomena. Three-dimensional graphs of solutions are constructed using the mathematical program Matlab. For a better understanding of the physical properties of some of the resulting solutions, their graphical representations are shown. This method is effective for finding exact solutions to many other similar wave equations.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"27 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139777469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-14DOI: 10.37394/232013.2024.19.6
B. Babajanov, F. Abdikarimov
In this article, we use the functional variational method to solve the Burgers equation with an additional time-dependent variable coefficient. The main advantage of the proposed method over other methods is that it allows to obtain more new solutions of the equation. Among the solutions obtained, new soliton solutions should be noted, which are of great importance for revealing the internal mechanism of physical phenomena. Three-dimensional graphs of solutions are constructed using the mathematical program Matlab. For a better understanding of the physical properties of some of the resulting solutions, their graphical representations are shown. This method is effective for finding exact solutions to many other similar wave equations.
{"title":"New Soliton Solutions of the Burgers Equation with Additional Time-dependent Variable Coefficient","authors":"B. Babajanov, F. Abdikarimov","doi":"10.37394/232013.2024.19.6","DOIUrl":"https://doi.org/10.37394/232013.2024.19.6","url":null,"abstract":"In this article, we use the functional variational method to solve the Burgers equation with an additional time-dependent variable coefficient. The main advantage of the proposed method over other methods is that it allows to obtain more new solutions of the equation. Among the solutions obtained, new soliton solutions should be noted, which are of great importance for revealing the internal mechanism of physical phenomena. Three-dimensional graphs of solutions are constructed using the mathematical program Matlab. For a better understanding of the physical properties of some of the resulting solutions, their graphical representations are shown. This method is effective for finding exact solutions to many other similar wave equations.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"527 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139836922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-09DOI: 10.37394/232013.2024.19.5
Karl Zammit, Howard Smith, Noel Sierra Lobo, Ioannis K. Giannopoulos
This paper explores the application of vortex lattice computational fluid dynamics method capability to model aircraft flight near to ground, utilizing the ground effect. Computational results were correlated with existing analytic formulations and benchmarked against experimental data from the public domain. A case aerodynamics design study was formed, based on the Russian A-90 Orlyonok Ekranoplan wing. The study provided a verification and a validation step towards advancing ground effect aircraft turnaround conceptual and preliminary design time, using the rapid aerodynamics results generation vortex lattice CFD method.
{"title":"Vortex Lattice CFD Application and Modeling Validation for Ground Effect Aircraft","authors":"Karl Zammit, Howard Smith, Noel Sierra Lobo, Ioannis K. Giannopoulos","doi":"10.37394/232013.2024.19.5","DOIUrl":"https://doi.org/10.37394/232013.2024.19.5","url":null,"abstract":"This paper explores the application of vortex lattice computational fluid dynamics method capability to model aircraft flight near to ground, utilizing the ground effect. Computational results were correlated with existing analytic formulations and benchmarked against experimental data from the public domain. A case aerodynamics design study was formed, based on the Russian A-90 Orlyonok Ekranoplan wing. The study provided a verification and a validation step towards advancing ground effect aircraft turnaround conceptual and preliminary design time, using the rapid aerodynamics results generation vortex lattice CFD method.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139790075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-09DOI: 10.37394/232013.2024.19.5
Karl Zammit, Howard Smith, Noel Sierra Lobo, Ioannis K. Giannopoulos
This paper explores the application of vortex lattice computational fluid dynamics method capability to model aircraft flight near to ground, utilizing the ground effect. Computational results were correlated with existing analytic formulations and benchmarked against experimental data from the public domain. A case aerodynamics design study was formed, based on the Russian A-90 Orlyonok Ekranoplan wing. The study provided a verification and a validation step towards advancing ground effect aircraft turnaround conceptual and preliminary design time, using the rapid aerodynamics results generation vortex lattice CFD method.
{"title":"Vortex Lattice CFD Application and Modeling Validation for Ground Effect Aircraft","authors":"Karl Zammit, Howard Smith, Noel Sierra Lobo, Ioannis K. Giannopoulos","doi":"10.37394/232013.2024.19.5","DOIUrl":"https://doi.org/10.37394/232013.2024.19.5","url":null,"abstract":"This paper explores the application of vortex lattice computational fluid dynamics method capability to model aircraft flight near to ground, utilizing the ground effect. Computational results were correlated with existing analytic formulations and benchmarked against experimental data from the public domain. A case aerodynamics design study was formed, based on the Russian A-90 Orlyonok Ekranoplan wing. The study provided a verification and a validation step towards advancing ground effect aircraft turnaround conceptual and preliminary design time, using the rapid aerodynamics results generation vortex lattice CFD method.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"111 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139849707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-23DOI: 10.37394/232013.2024.19.1
K. A. Chekhonin, Victor D. Vlasenko
An unconventional model of three-phase contact liny dynamics is suggested for the numerical solution of the boundary value problem of dipping and spreading. The numerical modeling is conducted with the use of the finite-element method in Lagrange variables. The mathematical model of the process is described by the equation of motion, continuity, and natural boundary conditions on the free surface. To exclude the ity of viscous stresses in the mathematical model on three-phase contact lines (TPCL) there was suggested a gridded model of gliding that takes into consideration peculiarities of dissipative processes in the neighborhood of TPCL at the microlevel. To reduce oscillations of pressure in the neighborhood of TPCL, a finite element is used. The suggested method allows for natural monitoring of free surface and TPCL with an unconventional model for dynamic contact micro-angle. A stable convergent algorithm is suggested that is not dependent on the grid step size and that is tested through the example of a three-dimensional semispherical drop and a drop in the form of a cube. The investigations obtained are compared to well-known experimental and analytical results demonstrating a high efficiency of the suggested model of TPCL dynamics at small values of capillary number.
{"title":"Three-dimensional Finite Element Model of Three-phase Contact Line Dynamics and Dynamic Contact Angle","authors":"K. A. Chekhonin, Victor D. Vlasenko","doi":"10.37394/232013.2024.19.1","DOIUrl":"https://doi.org/10.37394/232013.2024.19.1","url":null,"abstract":"An unconventional model of three-phase contact liny dynamics is suggested for the numerical solution of the boundary value problem of dipping and spreading. The numerical modeling is conducted with the use of the finite-element method in Lagrange variables. The mathematical model of the process is described by the equation of motion, continuity, and natural boundary conditions on the free surface. To exclude the ity of viscous stresses in the mathematical model on three-phase contact lines (TPCL) there was suggested a gridded model of gliding that takes into consideration peculiarities of dissipative processes in the neighborhood of TPCL at the microlevel. To reduce oscillations of pressure in the neighborhood of TPCL, a finite element is used. The suggested method allows for natural monitoring of free surface and TPCL with an unconventional model for dynamic contact micro-angle. A stable convergent algorithm is suggested that is not dependent on the grid step size and that is tested through the example of a three-dimensional semispherical drop and a drop in the form of a cube. The investigations obtained are compared to well-known experimental and analytical results demonstrating a high efficiency of the suggested model of TPCL dynamics at small values of capillary number.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"17 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139603883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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