Pub Date : 2023-07-19DOI: 10.37394/232013.2023.18.3
Rishu Garg, Jitender Singh, U. S. Mahabaleshwar, Okhunjon Sayfidinov, G. Bognár
In this paper, the flow of a micropolar fluid over a stretching or shrinking sheet is investigated under magnetohydrodynamic (MHD) conditions. Such a flow is described by highly nonlinear PDEs. Using the similarity transformation technique, the PDEs governing the flow are reduced to a system of nonlinear ODEs, which further allows a closed-form analytical solution. The effect of the microrotation on the skin friction coefficient, the dimensionless forms of the velocity, and the temperature flow fields in the neighborhood of the stretching or shrinking sheet are discussed for various combinations of the dimensionless parameters. The numerical results reveal that the micropolar flow may accelerate or deaccelerate depending upon the numerical values of the mass transpiration and the permeability of the porous sheet. An increase in the tangential and the angular flow velocities is found to occur with an increase in the microrotation. Further, it is observed that the increase in the microrotation increases the skin friction coefficient.
{"title":"Micropolar Fluid Flow Through a Porous Stretching/Shrinking Sheet with Mass Transpiration: An Analytical Approach","authors":"Rishu Garg, Jitender Singh, U. S. Mahabaleshwar, Okhunjon Sayfidinov, G. Bognár","doi":"10.37394/232013.2023.18.3","DOIUrl":"https://doi.org/10.37394/232013.2023.18.3","url":null,"abstract":"In this paper, the flow of a micropolar fluid over a stretching or shrinking sheet is investigated under magnetohydrodynamic (MHD) conditions. Such a flow is described by highly nonlinear PDEs. Using the similarity transformation technique, the PDEs governing the flow are reduced to a system of nonlinear ODEs, which further allows a closed-form analytical solution. The effect of the microrotation on the skin friction coefficient, the dimensionless forms of the velocity, and the temperature flow fields in the neighborhood of the stretching or shrinking sheet are discussed for various combinations of the dimensionless parameters. The numerical results reveal that the micropolar flow may accelerate or deaccelerate depending upon the numerical values of the mass transpiration and the permeability of the porous sheet. An increase in the tangential and the angular flow velocities is found to occur with an increase in the microrotation. Further, it is observed that the increase in the microrotation increases the skin friction coefficient.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69930147","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 : 2023-05-18DOI: 10.37394/232013.2023.18.2
A. Bartosik
Some suspensions in nature have a complex structure and demonstrate a yield shear stress and a non-linear relationship between the shear rate and the shear stress. Kaolin clay suspension is such an example in engineering, whereas in nature it is blood. This study represents an innovative approach to simulate bioliquid flow, similar to that of blood when the solid concentration is high. The objective of this study is to examine the influence of high solid concentration of bioliquid, similar to blood, on energy losses and velocity profiles in turbulent and transitional flow in a narrow tube. Using the analogy between the suspension of kaolin clay and blood, the physical model and the mathematical model were formulated. The mathematical model comprises continuity and time-averaged momentum equations, a two-equation turbulence model for low Reynolds numbers, and a specially developed wall damping function, as such suspensions demonstrate the damping of turbulence. Experimental data on blood rheology for solid concentrations equal to 43% and 70% by volume, gathered from the literature, were used to establish a rheological model. The results of the simulations indicated that an increase of solid concentration in bioliquid suspension from 43% to 70% causes an increase in wall shear stress to approximately 10% and 6% for transitional and turbulent flow, respectively, and changes in velocity profiles. Such simulations are important if an inserted stent or a chemical additive to the bioliquid suspension is considered, as they can influence the shear stress. The results of the simulations are presented in graphs, discussed, and conclusions are formulated.
{"title":"Effect of High Solid Concentration on Friction in a Transitional and Turbulent Flow of Bioliquid Suspension","authors":"A. Bartosik","doi":"10.37394/232013.2023.18.2","DOIUrl":"https://doi.org/10.37394/232013.2023.18.2","url":null,"abstract":"Some suspensions in nature have a complex structure and demonstrate a yield shear stress and a non-linear relationship between the shear rate and the shear stress. Kaolin clay suspension is such an example in engineering, whereas in nature it is blood. This study represents an innovative approach to simulate bioliquid flow, similar to that of blood when the solid concentration is high. The objective of this study is to examine the influence of high solid concentration of bioliquid, similar to blood, on energy losses and velocity profiles in turbulent and transitional flow in a narrow tube. Using the analogy between the suspension of kaolin clay and blood, the physical model and the mathematical model were formulated. The mathematical model comprises continuity and time-averaged momentum equations, a two-equation turbulence model for low Reynolds numbers, and a specially developed wall damping function, as such suspensions demonstrate the damping of turbulence. Experimental data on blood rheology for solid concentrations equal to 43% and 70% by volume, gathered from the literature, were used to establish a rheological model. The results of the simulations indicated that an increase of solid concentration in bioliquid suspension from 43% to 70% causes an increase in wall shear stress to approximately 10% and 6% for transitional and turbulent flow, respectively, and changes in velocity profiles. Such simulations are important if an inserted stent or a chemical additive to the bioliquid suspension is considered, as they can influence the shear stress. The results of the simulations are presented in graphs, discussed, and conclusions are formulated.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47834251","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 : 2023-02-01DOI: 10.37394/232013.2023.18.1
Efstratios Ntantis, Earl Francis, Haleh Fazel, Joseph George, Manar Blal, Mohammed Emthias, Vetrichelvan Pugazendi
In this research paper, a numerical analysis in Computational Fluid Dynamics uses the Finite Volume Method to visualize the external flow characteristics over a bullet speeding at Mach 2.0. The simulation results evaluate the experimental drag coefficient of the supersonic bullet airflow in a wind tunnel. The numerical simulation assumes that the inviscid model remains non-rotating. The generation of the mesh geometry varies between Coarse, Medium, and Fine types, and proper selection of the grid density improves the accuracy of the numerical result. The Fine Quadrilaterals mesh of 150,000 elements achieved considerable punctuality along with the numerical method of the second-order linear differential equations. The drag coefficient value of 0.222 gives a 0.9 percent error relative to the attained experiment value. The Mach number, pressure ratio, and flow simulation velocity contours obtained with ANSYS FLUENT software represent the validation of the experimental data with numerical analysis method in a typical fluid mechanics problem.
{"title":"Numerical Study on a Supersonic Flow around a Bullet","authors":"Efstratios Ntantis, Earl Francis, Haleh Fazel, Joseph George, Manar Blal, Mohammed Emthias, Vetrichelvan Pugazendi","doi":"10.37394/232013.2023.18.1","DOIUrl":"https://doi.org/10.37394/232013.2023.18.1","url":null,"abstract":"In this research paper, a numerical analysis in Computational Fluid Dynamics uses the Finite Volume Method to visualize the external flow characteristics over a bullet speeding at Mach 2.0. The simulation results evaluate the experimental drag coefficient of the supersonic bullet airflow in a wind tunnel. The numerical simulation assumes that the inviscid model remains non-rotating. The generation of the mesh geometry varies between Coarse, Medium, and Fine types, and proper selection of the grid density improves the accuracy of the numerical result. The Fine Quadrilaterals mesh of 150,000 elements achieved considerable punctuality along with the numerical method of the second-order linear differential equations. The drag coefficient value of 0.222 gives a 0.9 percent error relative to the attained experiment value. The Mach number, pressure ratio, and flow simulation velocity contours obtained with ANSYS FLUENT software represent the validation of the experimental data with numerical analysis method in a typical fluid mechanics problem.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41623445","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 : 2022-12-31DOI: 10.37394/232013.2022.17.20
A. Opanuga, G. Sobamowo, H. Okagbue, P. Ogunniyi
In this present work, the heat irreversibility analysis of thermal radiation, Ohmic heating, and angle of inclination on Williamson fluid is presented. The developed equations are converted to dimensionless forms, and Homotopy perturbation method (HPM) is used to solve the resulting coupled ordinary differential equations. The heat irreversibility analysis is achieved by substituting the obtained results into entropy generation and Bejan number expressions. The HPM solution for the velocity profile is validated by comparing it with a previously published study in some limited cases, and an excellent agreement is established. Fluid motion is accelerated by the increasing values of thermal radiation parameter, whereas the magnetic parameter and Reynolds number reduce it. Furthermore, except for the Weissenberg and Prandtl numbers, all of the flow parameters examined enhance fluid temperature. In addition, entropy generation is enhanced at the channel's upper wall for all parameters except magnetic field parameter.
{"title":"Analysis of Thermal Radiation and Ohmic Heating Effects on the Entropy Generation of MHD Williamson Fluid through an Inclined Channel","authors":"A. Opanuga, G. Sobamowo, H. Okagbue, P. Ogunniyi","doi":"10.37394/232013.2022.17.20","DOIUrl":"https://doi.org/10.37394/232013.2022.17.20","url":null,"abstract":"In this present work, the heat irreversibility analysis of thermal radiation, Ohmic heating, and angle of inclination on Williamson fluid is presented. The developed equations are converted to dimensionless forms, and Homotopy perturbation method (HPM) is used to solve the resulting coupled ordinary differential equations. The heat irreversibility analysis is achieved by substituting the obtained results into entropy generation and Bejan number expressions. The HPM solution for the velocity profile is validated by comparing it with a previously published study in some limited cases, and an excellent agreement is established. Fluid motion is accelerated by the increasing values of thermal radiation parameter, whereas the magnetic parameter and Reynolds number reduce it. Furthermore, except for the Weissenberg and Prandtl numbers, all of the flow parameters examined enhance fluid temperature. In addition, entropy generation is enhanced at the channel's upper wall for all parameters except magnetic field parameter.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41687208","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 : 2022-12-31DOI: 10.37394/232013.2022.17.22
Rania Saadeh
In this article, we employ a useful and intriguing method known as the ARA-homotopy transform approach to explore the fifth-order Korteweg-de Vries equations that are nonlinear and time-fractional. The study of capillary gravity water waves, magneto-sound propagation in plasma, and the motion of long waves under the effect of gravity in shallow water have all been influenced by Korteweg-de Vries equations. We discuss three instances of the fifth-order time-fractional Korteweg-de Vries equations to demonstrate the efficacy and applicability of the proposed method. Utilizing, also known as the auxiliary parameter or convergence control parameter, the ARA-homotopy transform technique which is a combination between ARA transform and the homotopy analysis method, allows us to modify the convergence range of the series solution. The obtained results show that the proposed method is very gratifying and examines the complex nonlinear challenges that arise in science and innovation.
{"title":"Analytic Computational Method for Solving Fractional Nonlinear Equations in Magneto-Acoustic Waves","authors":"Rania Saadeh","doi":"10.37394/232013.2022.17.22","DOIUrl":"https://doi.org/10.37394/232013.2022.17.22","url":null,"abstract":"In this article, we employ a useful and intriguing method known as the ARA-homotopy transform approach to explore the fifth-order Korteweg-de Vries equations that are nonlinear and time-fractional. The study of capillary gravity water waves, magneto-sound propagation in plasma, and the motion of long waves under the effect of gravity in shallow water have all been influenced by Korteweg-de Vries equations. We discuss three instances of the fifth-order time-fractional Korteweg-de Vries equations to demonstrate the efficacy and applicability of the proposed method. Utilizing, also known as the auxiliary parameter or convergence control parameter, the ARA-homotopy transform technique which is a combination between ARA transform and the homotopy analysis method, allows us to modify the convergence range of the series solution. The obtained results show that the proposed method is very gratifying and examines the complex nonlinear challenges that arise in science and innovation.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47022409","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 : 2022-12-31DOI: 10.37394/232013.2022.17.21
M. G. Ibrahim, H. Asfour
The present study aimed to investigate the influence of activation energy on the MHD Boundary layer of Carreau nanofluid using a semi-numerical/analytical technique. The governing formulated system of partial differential equations (PDEs) subject to appropriate boundary conditions is shortened to ordinary differential equations (ODEs) by convenient transformations. Generalized Differential Transform (GDTM) is used and compared with the Runge–Kutta Dahlberg method to find the results of the proposed system. GDTM is chosen to cure and overcome the highly non-linear differentiation parts in the present system of ODEs. Gradients of velocity, temperature, and concentration are computed graphically with different values of physical parameters. The solutions are offered in two cases, the first in the case of non-Newtonian fluid (We=0.2) and the other in the case of base fluid (We=0.2), which is concluded in the same figure. The accuracy of GDTM is tested with many existing published types of research and found to be excellent. It is worth-mentioned that the distribution of velocity growths at high values of power index law relation. This fluid model can be applied in solar energy power generation, ethylene glycol, nuclear reactions, etc.
{"title":"Technical Simulation for the Hydromagnetic Rotating Flow of Carreau Fluid with Arrhenius Energy and Entropy Generation Effects: Semi-Numerical Calculations","authors":"M. G. Ibrahim, H. Asfour","doi":"10.37394/232013.2022.17.21","DOIUrl":"https://doi.org/10.37394/232013.2022.17.21","url":null,"abstract":"The present study aimed to investigate the influence of activation energy on the MHD Boundary layer of Carreau nanofluid using a semi-numerical/analytical technique. The governing formulated system of partial differential equations (PDEs) subject to appropriate boundary conditions is shortened to ordinary differential equations (ODEs) by convenient transformations. Generalized Differential Transform (GDTM) is used and compared with the Runge–Kutta Dahlberg method to find the results of the proposed system. GDTM is chosen to cure and overcome the highly non-linear differentiation parts in the present system of ODEs. Gradients of velocity, temperature, and concentration are computed graphically with different values of physical parameters. The solutions are offered in two cases, the first in the case of non-Newtonian fluid (We=0.2) and the other in the case of base fluid (We=0.2), which is concluded in the same figure. The accuracy of GDTM is tested with many existing published types of research and found to be excellent. It is worth-mentioned that the distribution of velocity growths at high values of power index law relation. This fluid model can be applied in solar energy power generation, ethylene glycol, nuclear reactions, etc.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47707786","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 : 2022-12-16DOI: 10.37394/232013.2022.17.19
Arno Roland Ngatcha Ndengna, Yves Mimbeu, R. Onguene, S. Nguiya, A. Njifenjou
The classical Exner model coupled with a bed-load sediment flux formula is widely used to describe the morphodynamics of coastal environments. However, the main drawbacks of this model are (i) Lack of robustness, (ii) Lack of differentiation between sediment and fluid velocities, and (iii) Generation of instabilities when the interactions between sediment and fluid flow become more important. Moreover, Exner's model does not allow us to know with which characteristic velocity the bottom is moving. This set of drawbacks weakens the effectiveness of most sediment transport models proposed in the literature, particularly the Exner model. In this work, we reformulate the bed-load equation and we propose a new averaged sediment transport model for application in coastal or estuarine environments. The proposed model incorporates phase shift effects into the bed-load equation. The bedform's characteristic velocity, sediment, and fluid velocity are differentiated. We developed a new first-order, well-balanced, positivity-preserving, path-preserving, and central wind (WBPP-PCCU) scheme to solve the proposed hyperbolic sediment transport model (HSTM). We used the Averaging Essentially Non-Oscillatory (AENO) reconstruction coupled with the third-order Runge-Kutta Semi-Implicit (SI-RK3) method to achieve second-order accuracy. The balance and positivity of the water depth properties were proven. In this work, a resonance condition is proposed. The model facilitates the application of several other schemes such as Roe, HLLC, HLLEM, PVM (polynomial viscosity matrix), RVM (rational viscosity matrix), which require the diagonalization of the Jacobian matrix. The accuracy, robustness, positivity preservation, and equilibrium properties of the resulting model are evaluated using a series of carefully selected test cases. The proposed model provides an excellent ability to simulate sediment transport in a wide range of coastal environments.
{"title":"A Novel Sediment Transport Model (STM) Accounting Phase Lag Effect. A Resonance Condition","authors":"Arno Roland Ngatcha Ndengna, Yves Mimbeu, R. Onguene, S. Nguiya, A. Njifenjou","doi":"10.37394/232013.2022.17.19","DOIUrl":"https://doi.org/10.37394/232013.2022.17.19","url":null,"abstract":"The classical Exner model coupled with a bed-load sediment flux formula is widely used to describe the morphodynamics of coastal environments. However, the main drawbacks of this model are (i) Lack of robustness, (ii) Lack of differentiation between sediment and fluid velocities, and (iii) Generation of instabilities when the interactions between sediment and fluid flow become more important. Moreover, Exner's model does not allow us to know with which characteristic velocity the bottom is moving. This set of drawbacks weakens the effectiveness of most sediment transport models proposed in the literature, particularly the Exner model. In this work, we reformulate the bed-load equation and we propose a new averaged sediment transport model for application in coastal or estuarine environments. The proposed model incorporates phase shift effects into the bed-load equation. The bedform's characteristic velocity, sediment, and fluid velocity are differentiated. We developed a new first-order, well-balanced, positivity-preserving, path-preserving, and central wind (WBPP-PCCU) scheme to solve the proposed hyperbolic sediment transport model (HSTM). We used the Averaging Essentially Non-Oscillatory (AENO) reconstruction coupled with the third-order Runge-Kutta Semi-Implicit (SI-RK3) method to achieve second-order accuracy. The balance and positivity of the water depth properties were proven. In this work, a resonance condition is proposed. The model facilitates the application of several other schemes such as Roe, HLLC, HLLEM, PVM (polynomial viscosity matrix), RVM (rational viscosity matrix), which require the diagonalization of the Jacobian matrix. The accuracy, robustness, positivity preservation, and equilibrium properties of the resulting model are evaluated using a series of carefully selected test cases. The proposed model provides an excellent ability to simulate sediment transport in a wide range of coastal environments.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43205427","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 : 2022-11-07DOI: 10.37394/232013.2022.17.18
Khuzhayorov B. KH, Mustafokulov J. A., Dzhiyanov T. O., Zokirov M. S.
In this paper, a solute transport problem with non-equilibrium adsorption in a non-homogeneous porous medium consisting of two zones, one with high permeability (mobile zone) and another one with low permeability (immobile liquid zone) are considered. In the mobile zone, there are two zones in both of which adsorption of solute with reversible kinetics occurs. The results of this approach are compared with known, traditional approaches. It is shown that this method of modeling the process gives a satisfactory result. By appropriate selection of the parameters of the source term, one can obtain results close to those of the well-known bicontinuum approach.
{"title":"Solute Transport with Non-Equilibrium Adsorption In A Non-Homogeneous Porous Medium","authors":"Khuzhayorov B. KH, Mustafokulov J. A., Dzhiyanov T. O., Zokirov M. S.","doi":"10.37394/232013.2022.17.18","DOIUrl":"https://doi.org/10.37394/232013.2022.17.18","url":null,"abstract":"In this paper, a solute transport problem with non-equilibrium adsorption in a non-homogeneous porous medium consisting of two zones, one with high permeability (mobile zone) and another one with low permeability (immobile liquid zone) are considered. In the mobile zone, there are two zones in both of which adsorption of solute with reversible kinetics occurs. The results of this approach are compared with known, traditional approaches. It is shown that this method of modeling the process gives a satisfactory result. By appropriate selection of the parameters of the source term, one can obtain results close to those of the well-known bicontinuum approach.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41642545","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 : 2022-10-13DOI: 10.37394/232013.2022.17.17
O. O. Agboola, Talib EH. Elaikh, J. G. Oghonyon, Olajide Ibikunle
In this paper, free vibration characteristics of a uniform Rayleigh beam are studied using the differential transform method. The procedure entails transforming the partial differential equation governing the motion of the beam under consideration and the associated boundary conditions. The transformation yields a set of difference equations. Some simple algebraic operations are performed on the resulting difference equations to determine any ith natural frequency and the closed-form series function for any ith mode shape. Finally, one problem is presented to illustrate the implementation of the present method and analyse the effect of mass per length on the natural frequencies of the beam.
{"title":"Effect of Mass per Unit Length on freely vibrating Simply Supported Rayleigh Beam","authors":"O. O. Agboola, Talib EH. Elaikh, J. G. Oghonyon, Olajide Ibikunle","doi":"10.37394/232013.2022.17.17","DOIUrl":"https://doi.org/10.37394/232013.2022.17.17","url":null,"abstract":"In this paper, free vibration characteristics of a uniform Rayleigh beam are studied using the differential transform method. The procedure entails transforming the partial differential equation governing the motion of the beam under consideration and the associated boundary conditions. The transformation yields a set of difference equations. Some simple algebraic operations are performed on the resulting difference equations to determine any ith natural frequency and the closed-form series function for any ith mode shape. Finally, one problem is presented to illustrate the implementation of the present method and analyse the effect of mass per length on the natural frequencies of the beam.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45705052","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 : 2022-09-22DOI: 10.37394/232013.2022.17.16
Nikolaos Kastrounis, George Manias, Michael Filippakis, D. Kyriazis
This is a comprehensive paper on the oil spill phenomenon on what mechanisms change the oil spill displacement, what Computational Fluid Dynamic (CFD) applications of Finite Volume and Eulerian/Lagragian equations are used to solve oil-spill simulations and to provide a brief analysis of the models used. An oil spill is defined as a form of pollution caused by human activity and as the discharge of liquid petroleum hydrocarbons into the environment, mainly in the marine eco-system. This description is commonly used for marine oil spills, where the hydrocarbons are discharged into the ocean or coastal waters, but they can also occur inland. Oil spills occur because of discharges of hydrocarbons from platforms, rigs, wells, tankers and from refined petroleum products along with their by-products, also from heavier fuels. Thus, oil spill simulation is used to predict transport and weathering processes. State-of-the-art tools such as OILMAP, TRANSAS, OILFLOW2D, OSCAR and ANSYS, work by simulating the processes mentioned prior. In contrary to these tools, the aim of this paper is to provide a comparison of the weathering models used and propose a mathematical model using python to predict the spreading phenomenon of an oil spill.
{"title":"Mathematical Modeling and Forecasting the Spread of an Oil Spill using Python","authors":"Nikolaos Kastrounis, George Manias, Michael Filippakis, D. Kyriazis","doi":"10.37394/232013.2022.17.16","DOIUrl":"https://doi.org/10.37394/232013.2022.17.16","url":null,"abstract":"This is a comprehensive paper on the oil spill phenomenon on what mechanisms change the oil spill displacement, what Computational Fluid Dynamic (CFD) applications of Finite Volume and Eulerian/Lagragian equations are used to solve oil-spill simulations and to provide a brief analysis of the models used. An oil spill is defined as a form of pollution caused by human activity and as the discharge of liquid petroleum hydrocarbons into the environment, mainly in the marine eco-system. This description is commonly used for marine oil spills, where the hydrocarbons are discharged into the ocean or coastal waters, but they can also occur inland. Oil spills occur because of discharges of hydrocarbons from platforms, rigs, wells, tankers and from refined petroleum products along with their by-products, also from heavier fuels. Thus, oil spill simulation is used to predict transport and weathering processes. State-of-the-art tools such as OILMAP, TRANSAS, OILFLOW2D, OSCAR and ANSYS, work by simulating the processes mentioned prior. In contrary to these tools, the aim of this paper is to provide a comparison of the weathering models used and propose a mathematical model using python to predict the spreading phenomenon of an oil spill.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46634045","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：