Pub Date : 2024-01-23DOI: 10.37394/232013.2024.19.2
Paramesh T., Tamal Jana, M. Kaushik
The present study is carried out with a motivation to investigate the axisymmetric supersonic jet both experimentally and computationally. An open jet facility was utilized to carry out the experiments, and the results were compared with computational simulations employing the K-omega SST turbulence model using ANSYS software. It is important to note that, the computational validation has been done incorporating the Rayleigh Pitot formula to match the centerline pressure for the uncontrolled jet, which has not been found in any other validation studies according to the authors’ understanding. Besides, the experimental study is extended with a focus on evaluating the impact of Vortex Generators (VGs) on Mach 1.6 supersonic jets. The aim was to enhance jet mixing, a critical factor for improving engine performance. Various nozzle geometry modifications were explored in the past, but VGs emerged as the most effective method for optimizing jet mixing efficiency. The investigation revealed a substantial decrement in the supersonic jet core length when VGs were introduced at the nozzle exit, especially under favorable pressure gradients. This reduction in the supersonic core emphasized the role of VGs in enhancing mixing efficiency. The study also confirmed that VGs significantly distort wave patterns within the supersonic core, crucial for improved jet mixing. This research signifies the importance of VGs in augmenting the mixing of Mach 1.6 jets, offering the potential for improved jet performance and reduced noise emissions in the aerospace industry.
{"title":"An Investigation on Uncontrolled and Vortex-Generator Controlled Supersonic Jets","authors":"Paramesh T., Tamal Jana, M. Kaushik","doi":"10.37394/232013.2024.19.2","DOIUrl":"https://doi.org/10.37394/232013.2024.19.2","url":null,"abstract":"The present study is carried out with a motivation to investigate the axisymmetric supersonic jet both experimentally and computationally. An open jet facility was utilized to carry out the experiments, and the results were compared with computational simulations employing the K-omega SST turbulence model using ANSYS software. It is important to note that, the computational validation has been done incorporating the Rayleigh Pitot formula to match the centerline pressure for the uncontrolled jet, which has not been found in any other validation studies according to the authors’ understanding. Besides, the experimental study is extended with a focus on evaluating the impact of Vortex Generators (VGs) on Mach 1.6 supersonic jets. The aim was to enhance jet mixing, a critical factor for improving engine performance. Various nozzle geometry modifications were explored in the past, but VGs emerged as the most effective method for optimizing jet mixing efficiency. The investigation revealed a substantial decrement in the supersonic jet core length when VGs were introduced at the nozzle exit, especially under favorable pressure gradients. This reduction in the supersonic core emphasized the role of VGs in enhancing mixing efficiency. The study also confirmed that VGs significantly distort wave patterns within the supersonic core, crucial for improved jet mixing. This research signifies the importance of VGs in augmenting the mixing of Mach 1.6 jets, offering the potential for improved jet performance and reduced noise emissions in the aerospace industry.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"125 37","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139605045","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 : 2024-01-08DOI: 10.37394/232013.2023.18.23
A. Bhandari, Akmal Husain
In the current work, the influence of rotational viscosity as a result of an external magnetic field on water-based Fe2O3 ferrofluid flow over a rotating plate is investigated. The governing equations of the physical model are transformed into a set of ordinary differential equations. The numerical solution of the differential equations is obtained by using the finite element method. The findings of the radial, tangential, and axial velocity distributions are descriptively presented for the different range of rotational viscosity The outcomes of this research demonstrate that the magnetic field has an important role in controlling the velocity profiles in the flow. A comparative study of velocity distributions is presented for COFe2O4, Fe2O3, NiO, and CO nanoparticles.
本研究探讨了外磁场导致的旋转粘度对旋转板上的水基 Fe2O3 铁流体流动的影响。物理模型的控制方程被转化为一组常微分方程。微分方程的数值解采用有限元法。研究结果表明，磁场在控制流动速度剖面方面起着重要作用。对 COFe2O4、Fe2O3、NiO 和 CO 纳米粒子的速度分布进行了比较研究。
{"title":"Water-based Fe2 O3 Ferrofluid Flow over a Rotatable Plate","authors":"A. Bhandari, Akmal Husain","doi":"10.37394/232013.2023.18.23","DOIUrl":"https://doi.org/10.37394/232013.2023.18.23","url":null,"abstract":"In the current work, the influence of rotational viscosity as a result of an external magnetic field on water-based Fe2O3 ferrofluid flow over a rotating plate is investigated. The governing equations of the physical model are transformed into a set of ordinary differential equations. The numerical solution of the differential equations is obtained by using the finite element method. The findings of the radial, tangential, and axial velocity distributions are descriptively presented for the different range of rotational viscosity The outcomes of this research demonstrate that the magnetic field has an important role in controlling the velocity profiles in the flow. A comparative study of velocity distributions is presented for COFe2O4, Fe2O3, NiO, and CO nanoparticles.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"17 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139445389","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 : 2023-12-22DOI: 10.37394/232013.2023.18.20
B. Fayziev, Jamol Makhmudov, Jabbor Mustofoqulov, T. Begmatov, Rakhmon Safarov
The paper explores a mathematical model of the filtration of dual-component suspension within a porous medium characterized by two distinct zones. This model encompasses mass balance equations of suspended particles, kinetic equations of deposition formation for both reversible and irreversible deposition types for each suspension component, and incorporates Darcy’s law. In order to solve the problem, we formulate a numerical algorithm for computer-based experimentation on the basis of the finite difference method. Through the analysis of numerical findings, we establish key features of two component suspension filtration within a porous medium. Furthermore, we examine the effects of model parameters on the transport and deposition of suspended particles in a two-component suspension within porous media. The polydispersity of the suspension and the multi-stage nature of deposition kinetics can induce effects that differ from those typically observed in the transport of onecomponent suspensions with single-stage particle deposition kinetics.
{"title":"Numerical Investigation of the Two-Component Suspension Filtration in a Porous Medium Taking into Account Changes in the Characteristics of the Porous Medium","authors":"B. Fayziev, Jamol Makhmudov, Jabbor Mustofoqulov, T. Begmatov, Rakhmon Safarov","doi":"10.37394/232013.2023.18.20","DOIUrl":"https://doi.org/10.37394/232013.2023.18.20","url":null,"abstract":"The paper explores a mathematical model of the filtration of dual-component suspension within a porous medium characterized by two distinct zones. This model encompasses mass balance equations of suspended particles, kinetic equations of deposition formation for both reversible and irreversible deposition types for each suspension component, and incorporates Darcy’s law. In order to solve the problem, we formulate a numerical algorithm for computer-based experimentation on the basis of the finite difference method. Through the analysis of numerical findings, we establish key features of two component suspension filtration within a porous medium. Furthermore, we examine the effects of model parameters on the transport and deposition of suspended particles in a two-component suspension within porous media. The polydispersity of the suspension and the multi-stage nature of deposition kinetics can induce effects that differ from those typically observed in the transport of onecomponent suspensions with single-stage particle deposition kinetics.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"2 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138945136","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 : 2023-12-22DOI: 10.37394/232013.2023.18.21
Preetham M. P., K. S., Raghunatha K. R.
The squeezing flow of an electrically conducting Casson fluid has been occupied in the report. The governing magneto-hydrodynamic equations transformed into highly nonlinear ordinary differential equations. The Hermite wavelet technique (HWM) resolves the consequential equation numerically. The outcomes of the Hermite wavelet and numerical approaches are remarkably identical. Through this, it is confirmed that we can solve such problems with the help of the Hermite wavelet method. Flow properties involving material parameters are additionally mentioned and defined in the element with the graphical resource. It is determined that magnetic subject is used as a managed occurrence in several flows because it normalizes the drift property. In addition, squeeze range theatre is a crucial responsibility in these sorts of issues, and an increase in squeeze variety will increase the velocity outline.
{"title":"Squeezing Flow of an Electrically Conducting Casson Fluid by Hermite Wavelet Technique","authors":"Preetham M. P., K. S., Raghunatha K. R.","doi":"10.37394/232013.2023.18.21","DOIUrl":"https://doi.org/10.37394/232013.2023.18.21","url":null,"abstract":"The squeezing flow of an electrically conducting Casson fluid has been occupied in the report. The governing magneto-hydrodynamic equations transformed into highly nonlinear ordinary differential equations. The Hermite wavelet technique (HWM) resolves the consequential equation numerically. The outcomes of the Hermite wavelet and numerical approaches are remarkably identical. Through this, it is confirmed that we can solve such problems with the help of the Hermite wavelet method. Flow properties involving material parameters are additionally mentioned and defined in the element with the graphical resource. It is determined that magnetic subject is used as a managed occurrence in several flows because it normalizes the drift property. In addition, squeeze range theatre is a crucial responsibility in these sorts of issues, and an increase in squeeze variety will increase the velocity outline.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"24 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138946020","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 : 2023-12-19DOI: 10.37394/232013.2023.18.19
A. Yusuf, Temitope Samson Adekunle, Abd’gafar Tunde Tiamiyu, Abubakar Musa Aliyu
In the paper, we numerically explored the combined impacts of non-linear thermal and mixed convective unsteady flow in a channel with slip conditions. The flow is caused by a moving flat parallel surface and is also electrically conductive. We analyse the mechanisms of heat, and mass transfer by incorporating temperature and concentration jumps. To simplify the model problem, we apply appropriate similarity transformations, reducing the prevailing problem to a nonlinear coupled ordinary boundary value problem. The transformed problem is solved using the Chebyshev Collocation Approach (CCA). We performed a comparative analysis by comparing the CCA with the literature to verify the accuracy of our approach, and a good agreement is found. In addition, we conducted a comprehensive parametric study to analyze the trends in the solutions obtained. The study reveals that the parameters M, α1, α3, Pr, and Sc have about 20% stronger impact on the nonlinear system compared to the linear system on both surfaces of the horizontal channel.
在本文中，我们用数值方法探讨了具有滑移条件的通道中非线性热和混合对流非稳定流的综合影响。流动是由一个移动的平行平面引起的，同时具有导电性。我们结合温度和浓度跃迁分析了热量和质量的传递机制。为了简化模型问题，我们应用了适当的相似性变换，将普遍存在的问题简化为非线性耦合普通边界值问题。转换后的问题采用切比雪夫定位法（CCA）求解。我们将 CCA 与文献进行了对比分析，以验证我们方法的准确性，结果发现两者吻合度很高。此外，我们还进行了全面的参数研究，以分析所得解的趋势。研究发现，与水平通道两面的线性系统相比，参数 M、α1、α3、Pr 和 Sc 对非线性系统的影响要大 20%。
{"title":"Double Diffusive Nonlinear Convective MHD Unsteady Slip-Flow Regime in a Rectangular Channel","authors":"A. Yusuf, Temitope Samson Adekunle, Abd’gafar Tunde Tiamiyu, Abubakar Musa Aliyu","doi":"10.37394/232013.2023.18.19","DOIUrl":"https://doi.org/10.37394/232013.2023.18.19","url":null,"abstract":"In the paper, we numerically explored the combined impacts of non-linear thermal and mixed convective unsteady flow in a channel with slip conditions. The flow is caused by a moving flat parallel surface and is also electrically conductive. We analyse the mechanisms of heat, and mass transfer by incorporating temperature and concentration jumps. To simplify the model problem, we apply appropriate similarity transformations, reducing the prevailing problem to a nonlinear coupled ordinary boundary value problem. The transformed problem is solved using the Chebyshev Collocation Approach (CCA). We performed a comparative analysis by comparing the CCA with the literature to verify the accuracy of our approach, and a good agreement is found. In addition, we conducted a comprehensive parametric study to analyze the trends in the solutions obtained. The study reveals that the parameters M, α1, α3, Pr, and Sc have about 20% stronger impact on the nonlinear system compared to the linear system on both surfaces of the horizontal channel.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"102 42","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138959367","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 : 2023-12-14DOI: 10.37394/232013.2023.18.17
M. Abuziarov, E. G. Glazova, A. V. Kochetkov, S. V. Krylov
A three-dimensional technique for modeling shock-wave processes both in fluids and solids and for modeling fluid-structure interaction problems is proposed. The technique is based on a modified Godunov's scheme of increased accuracy, which is the same for both fluids and solids, and uses Eulerian-Lagrangian multimesh algorithms. Improving the accuracy of the scheme is achieved only by changing the "predictor" step of the original Godunov scheme. A three-dimensional and time-dependent solution of Riemann's problem is used, which provides a second-order approximation in time and space in the domain of smooth solutions. Monotonicity in the domain of discontinuous solutions is ensured by the transition to the "predictor" step of the first-order scheme. A similar solution of the Riemann problem is used at the contact "fluids - solids”. For each body, three types of computational grids are used with an explicit Lagrangian choice of movable free and contact surfaces. The first type of mesh used is a Lagrangian surface mesh in the form of a continuous set of triangles (STL file), which is used both to set the initial geometry of an object and to accompany it in the calculation process, and two types of volumetric three-dimensional meshes. These are the basic Cartesian fixed grid for each object, and auxiliary movable local Euler-Lagrangian grids associated with each triangle of the surface Lagrangian grid. The results of numerical simulation of the processes of the impact of ice fragments on a titanium plate, acceleration by detonation products of deformable elastoplastic bodies of various shapes, and steel strikers piercing an aluminum plate are presented.
{"title":"On New Method and 3D Codes for Shock Wave Simulation in Fluids and Solids in Euler Variables based on a Modified Godunov Scheme","authors":"M. Abuziarov, E. G. Glazova, A. V. Kochetkov, S. V. Krylov","doi":"10.37394/232013.2023.18.17","DOIUrl":"https://doi.org/10.37394/232013.2023.18.17","url":null,"abstract":"A three-dimensional technique for modeling shock-wave processes both in fluids and solids and for modeling fluid-structure interaction problems is proposed. The technique is based on a modified Godunov's scheme of increased accuracy, which is the same for both fluids and solids, and uses Eulerian-Lagrangian multimesh algorithms. Improving the accuracy of the scheme is achieved only by changing the \"predictor\" step of the original Godunov scheme. A three-dimensional and time-dependent solution of Riemann's problem is used, which provides a second-order approximation in time and space in the domain of smooth solutions. Monotonicity in the domain of discontinuous solutions is ensured by the transition to the \"predictor\" step of the first-order scheme. A similar solution of the Riemann problem is used at the contact \"fluids - solids”. For each body, three types of computational grids are used with an explicit Lagrangian choice of movable free and contact surfaces. The first type of mesh used is a Lagrangian surface mesh in the form of a continuous set of triangles (STL file), which is used both to set the initial geometry of an object and to accompany it in the calculation process, and two types of volumetric three-dimensional meshes. These are the basic Cartesian fixed grid for each object, and auxiliary movable local Euler-Lagrangian grids associated with each triangle of the surface Lagrangian grid. The results of numerical simulation of the processes of the impact of ice fragments on a titanium plate, acceleration by detonation products of deformable elastoplastic bodies of various shapes, and steel strikers piercing an aluminum plate are presented.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"571 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138974078","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 : 2023-12-14DOI: 10.37394/232013.2023.18.18
Yuri N. Skiba
Two linear and one nonlinear implicit unconditionally stable finite-difference schemes of the second-order approximation in all variables are given for a shallow-water model including the rotation and topography of the earth. The schemes are based on splitting the model equation into two one-dimensional subsystems. Each of the subsystems conserves the mass and total energy in both differential and discrete (in time and space) forms. One of the linear schemes contains a smoothing procedure not violating the conservation laws and suppressing spurious oscillations caused by the application of central-difference approximations of spatial derivatives. The unique solvability of the linear schemes and convergence of iterations used to find their solutions are proved.
{"title":"Linear and Nonlinear Splitting Schemes Conserving Total Energy and Mass in the Shallow Water Model","authors":"Yuri N. Skiba","doi":"10.37394/232013.2023.18.18","DOIUrl":"https://doi.org/10.37394/232013.2023.18.18","url":null,"abstract":"Two linear and one nonlinear implicit unconditionally stable finite-difference schemes of the second-order approximation in all variables are given for a shallow-water model including the rotation and topography of the earth. The schemes are based on splitting the model equation into two one-dimensional subsystems. Each of the subsystems conserves the mass and total energy in both differential and discrete (in time and space) forms. One of the linear schemes contains a smoothing procedure not violating the conservation laws and suppressing spurious oscillations caused by the application of central-difference approximations of spatial derivatives. The unique solvability of the linear schemes and convergence of iterations used to find their solutions are proved.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"55 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138975053","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 : 2023-12-12DOI: 10.37394/232013.2023.18.16
Touil Nadji, Abita Rahmoune
{"title":"Blow-up and Bounds of Solutions for a Class of Semi-Linear PseudoParabolic Equations with p(. )-Laplacian Viscoelastic Term","authors":"Touil Nadji, Abita Rahmoune","doi":"10.37394/232013.2023.18.16","DOIUrl":"https://doi.org/10.37394/232013.2023.18.16","url":null,"abstract":"","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"31 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139007336","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 : 2023-11-20DOI: 10.37394/232013.2023.18.15
N. Sfina, M. G. Ibrahim
Owing to the considerable significance of the combination of modified law of Darcy and electric fields in biomedicine applications like drug design, and pumping of blood in heart and lung devices; so, numerical and physiological analysis on electro-osmotic peristaltic pumping of magnetic Sutterby Nanofluid is considered. Such a fluid model has not been studied before in peristaltic. The applied system of differential equations is obtained by using controls of low Reynolds number and long wavelength. Simulations for a given system are counted using two high-quality techniques, the Finite difference technique (FDM) and the Generalized Differential transform method (Generalized DTM). Vital physical parameters effects on the profiles of velocity, temperature, and Nanoparticle concentration have schemed in two different states of Sutterby fluid, the first is dilatant fluid at β<0 and Pseudo plastic fluid at β>0. A comparison between the prior results computed by FDM and Generalized-DTM and literature results are given in nearest published results have been made, and found to be excellent. The discussion puts onward a crucial observation, that the velocity of blood flow can be organized by adaptable magnetic field strength. A drug delivery system is considered one of the significant applications of such a fluid model.
{"title":"Numerical Simulations for Electro-Osmotic Blood Flow of Magnetic Sutterby Nanofluid with Modified Darcy's Law","authors":"N. Sfina, M. G. Ibrahim","doi":"10.37394/232013.2023.18.15","DOIUrl":"https://doi.org/10.37394/232013.2023.18.15","url":null,"abstract":"Owing to the considerable significance of the combination of modified law of Darcy and electric fields in biomedicine applications like drug design, and pumping of blood in heart and lung devices; so, numerical and physiological analysis on electro-osmotic peristaltic pumping of magnetic Sutterby Nanofluid is considered. Such a fluid model has not been studied before in peristaltic. The applied system of differential equations is obtained by using controls of low Reynolds number and long wavelength. Simulations for a given system are counted using two high-quality techniques, the Finite difference technique (FDM) and the Generalized Differential transform method (Generalized DTM). Vital physical parameters effects on the profiles of velocity, temperature, and Nanoparticle concentration have schemed in two different states of Sutterby fluid, the first is dilatant fluid at β<0 and Pseudo plastic fluid at β>0. A comparison between the prior results computed by FDM and Generalized-DTM and literature results are given in nearest published results have been made, and found to be excellent. The discussion puts onward a crucial observation, that the velocity of blood flow can be organized by adaptable magnetic field strength. A drug delivery system is considered one of the significant applications of such a fluid model.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139256788","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 : 2023-11-08DOI: 10.37394/232013.2023.18.14
Fernando Martinez, Marina Cauhape, Luis Zorzutti, Silvia Angelone
Asphalt mixtures are viscoelastic materials whose behavior is highly dependent on temperature and loading frequency. The influence of these factors is described through master curves constructed at a given reference temperature based on the principle of frequency-temperature superposition. These curves are used as inputs in asphalt pavement design procedures based on mechanistic principles and related to their in-service pavement performance. This paper proposes the application of the Kramers-Kronig (K-K) relations to characterize the rheological properties of asphalt materials using a mathematical approach. Due to the complexity of the integration of the K-K relations, an approximate solution of the K–K relations was used to develop a Mathematical-Based Model to predict the master curves for the Dynamic Modulus |E*| and the Phase Angle f. This model was validated using the experimental results of two different asphalt mixtures with different characteristics. The results indicate that the model is accurate, and could be an effective approach to mathematically predict the master curves of the asphalt mixture viscoelastic properties in a wide range of temperatures and frequencies.
{"title":"Validation of a Mathematical-Based Model for the Rheological Characterization of Asphalt Mixtures","authors":"Fernando Martinez, Marina Cauhape, Luis Zorzutti, Silvia Angelone","doi":"10.37394/232013.2023.18.14","DOIUrl":"https://doi.org/10.37394/232013.2023.18.14","url":null,"abstract":"Asphalt mixtures are viscoelastic materials whose behavior is highly dependent on temperature and loading frequency. The influence of these factors is described through master curves constructed at a given reference temperature based on the principle of frequency-temperature superposition. These curves are used as inputs in asphalt pavement design procedures based on mechanistic principles and related to their in-service pavement performance. This paper proposes the application of the Kramers-Kronig (K-K) relations to characterize the rheological properties of asphalt materials using a mathematical approach. Due to the complexity of the integration of the K-K relations, an approximate solution of the K–K relations was used to develop a Mathematical-Based Model to predict the master curves for the Dynamic Modulus |E*| and the Phase Angle f. This model was validated using the experimental results of two different asphalt mixtures with different characteristics. The results indicate that the model is accurate, and could be an effective approach to mathematically predict the master curves of the asphalt mixture viscoelastic properties in a wide range of temperatures and frequencies.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"7 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135390897","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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