Pub Date : 2021-08-03DOI: 10.22055/JACM.2021.37795.3087
N. C. Roy, A. Akter
Unsteady magnetohydrodynamic mixed convection flow of an incompressible hybrid nanofluid (Cu-Al2O3/water) past an isothermal cylinder with thermal radiation effect has been studied. Appropriate non-dimensional variables are initiated to reduce the governing equations into a convenient form. By utilizing the procedure of finite difference, reduced equations are then solved for all time. Besides, series solutions are obtained using perturbation technique for short time and asymptotic method for long time which agree with the acquired numerical solution up to a good accuracy. When the mixed convection parameter Ri, radiation conduction parameter Rd, magnetic field parameter M and the volume fractions of nanoparticles ϕ1 and ϕ2 are increased, the local skin friction coefficient and the local Nusselt number are found to increase. Results revealed that the hybrid nanofluid (Cu-Al2O3/water) enhances the heat transfer about 28.28% in comparison to the Al2O3-water nanofluid and about 51.15% than the pure fluid. Contrary to this, the heat transfer of hybrid nanofluid is augmented about 41.76% than the Cu-water nanofluid and 71.41% than the base fluid. The streamlines and isotherms reveal that higher values of Ri, M and Rd delay the boundary layer separation and accordingly shrink the vortices. Moreover, the thermal boundary layer is thickened for the increment of aforesaid quantities. The surface temperature parameter augments the local skin friction coefficient, however, the reverse characteristic is observed for the local Nusselt number.
{"title":"Heat Transfer Enhancement and Boundary Layer Separations for a Hybrid Nanofluid Flow past an Isothermal Cylinder","authors":"N. C. Roy, A. Akter","doi":"10.22055/JACM.2021.37795.3087","DOIUrl":"https://doi.org/10.22055/JACM.2021.37795.3087","url":null,"abstract":"Unsteady magnetohydrodynamic mixed convection flow of an incompressible hybrid nanofluid (Cu-Al2O3/water) past an isothermal cylinder with thermal radiation effect has been studied. Appropriate non-dimensional variables are initiated to reduce the governing equations into a convenient form. By utilizing the procedure of finite difference, reduced equations are then solved for all time. Besides, series solutions are obtained using perturbation technique for short time and asymptotic method for long time which agree with the acquired numerical solution up to a good accuracy. When the mixed convection parameter Ri, radiation conduction parameter Rd, magnetic field parameter M and the volume fractions of nanoparticles ϕ1 and ϕ2 are increased, the local skin friction coefficient and the local Nusselt number are found to increase. Results revealed that the hybrid nanofluid (Cu-Al2O3/water) enhances the heat transfer about 28.28% in comparison to the Al2O3-water nanofluid and about 51.15% than the pure fluid. Contrary to this, the heat transfer of hybrid nanofluid is augmented about 41.76% than the Cu-water nanofluid and 71.41% than the base fluid. The streamlines and isotherms reveal that higher values of Ri, M and Rd delay the boundary layer separation and accordingly shrink the vortices. Moreover, the thermal boundary layer is thickened for the increment of aforesaid quantities. The surface temperature parameter augments the local skin friction coefficient, however, the reverse characteristic is observed for the local Nusselt number.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47851221","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 : 2021-07-26DOI: 10.22055/JACM.2021.37637.3054
A. Alizadeh, M. Shishesaz, S. Shahrooi, Arash Reza
In this article, the nonlinear vibrational behavior of a nano-disk was analyzed using the multiple scales method (MSM). The modified couple stress theory was used to consider the small-scale effect via the application of nonlocal parameter. Employing Hamilton's principle, two coupled nonlinear differential equations were derived based on the nonlinear von-Karman strain-displacement relation and the classical plate theory. The Galerkin-based procedure was utilized to obtain a Duffing-type nonlinear ordinary differential equation with a cubic nonlinear term and solved by the application of MSM. The effects of nonlocal parameter, aspect ratio, different boundary conditions, and the nonlinear shift frequencies, were obtained on the overall behavior of the nano-disk. Results indicate that increasing the central dimensionless amplitude of the nano-disk, the nonlinear frequency, and the shift index exhibit an increasing behavior, while the increase in the non-dimensional nonlocal parameter, causes a decrease in the nonlinear frequency ratios and the shift index. Additionally, the increase in h/r increases the effect of dimensionless central amplitude on the nonlinear frequencies ratios. Additionally, comparison of the current results with those previously published in the literature shows good agreements. This indicates that the MSM can ease up the solution, and hence, can be applied to the solution of nonlinear nano-disks with high accuracy.
{"title":"A Modified Couple Stress-based Model for the Nonlinear Vibrational Analysis of Nano-disks using Multiple Scales Method","authors":"A. Alizadeh, M. Shishesaz, S. Shahrooi, Arash Reza","doi":"10.22055/JACM.2021.37637.3054","DOIUrl":"https://doi.org/10.22055/JACM.2021.37637.3054","url":null,"abstract":"In this article, the nonlinear vibrational behavior of a nano-disk was analyzed using the multiple scales method (MSM). The modified couple stress theory was used to consider the small-scale effect via the application of nonlocal parameter. Employing Hamilton's principle, two coupled nonlinear differential equations were derived based on the nonlinear von-Karman strain-displacement relation and the classical plate theory. The Galerkin-based procedure was utilized to obtain a Duffing-type nonlinear ordinary differential equation with a cubic nonlinear term and solved by the application of MSM. The effects of nonlocal parameter, aspect ratio, different boundary conditions, and the nonlinear shift frequencies, were obtained on the overall behavior of the nano-disk. Results indicate that increasing the central dimensionless amplitude of the nano-disk, the nonlinear frequency, and the shift index exhibit an increasing behavior, while the increase in the non-dimensional nonlocal parameter, causes a decrease in the nonlinear frequency ratios and the shift index. Additionally, the increase in h/r increases the effect of dimensionless central amplitude on the nonlinear frequencies ratios. Additionally, comparison of the current results with those previously published in the literature shows good agreements. This indicates that the MSM can ease up the solution, and hence, can be applied to the solution of nonlinear nano-disks with high accuracy.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45618092","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 : 2021-07-21DOI: 10.22055/JACM.2021.37461.3021
Mortaza Pourabdy, M. Shishesaz, S. Shahrooi, S. A. S. Roknizadeh
In this paper, it is aimed to analyze the linear vibrational behavior of functionally-graded (FG) size-dependent circular nano-plates using the integral form of the non-local strain gradient (NSG) model. The linear axisymmetric vibration of the circular FG nano-plates based on the non-local strain gradient (NSG) model is the focal point of this study. In this regard, the non-local elasticity theory (NET) and strain gradient (SG) models are used in conjunction with Hamilton's principle to obtain the governing equations. Discretization of the obtained governing equations is performed with the help of generalized differential quadrature rule (GDQR) and Galerkin weighted residual method (GWRM). The analysis is focused on the effect of non-local and material parameters, as well as the aspect ratio, heterogeneity index of FG material, different boundary conditions, and frequency number on the overall behavior of nano-plate. On using the Galerkin method, a system of linear differential equations is obtained and solved to determine the natural linear frequencies and mode shapes. The obtained results are then compared with the existing results in the literature. On using the proposed procedure in this paper, the dynamic behavior of nano-plate under different boundary conditions can be well described. In addition, the existing deficiencies in other non-local theories can be eliminated. The results of this investigation can be considered as a turning point in the improvement of theoretical results for achieving a better prediction of vibrational behavior in nanostructures.
{"title":"Analysis of Axisymmetric Vibration of Functionally-Graded Circular Nano-Plate Based on the Integral Form of the Strain Gradient Model","authors":"Mortaza Pourabdy, M. Shishesaz, S. Shahrooi, S. A. S. Roknizadeh","doi":"10.22055/JACM.2021.37461.3021","DOIUrl":"https://doi.org/10.22055/JACM.2021.37461.3021","url":null,"abstract":"In this paper, it is aimed to analyze the linear vibrational behavior of functionally-graded (FG) size-dependent circular nano-plates using the integral form of the non-local strain gradient (NSG) model. The linear axisymmetric vibration of the circular FG nano-plates based on the non-local strain gradient (NSG) model is the focal point of this study. In this regard, the non-local elasticity theory (NET) and strain gradient (SG) models are used in conjunction with Hamilton's principle to obtain the governing equations. Discretization of the obtained governing equations is performed with the help of generalized differential quadrature rule (GDQR) and Galerkin weighted residual method (GWRM). The analysis is focused on the effect of non-local and material parameters, as well as the aspect ratio, heterogeneity index of FG material, different boundary conditions, and frequency number on the overall behavior of nano-plate. On using the Galerkin method, a system of linear differential equations is obtained and solved to determine the natural linear frequencies and mode shapes. The obtained results are then compared with the existing results in the literature. On using the proposed procedure in this paper, the dynamic behavior of nano-plate under different boundary conditions can be well described. In addition, the existing deficiencies in other non-local theories can be eliminated. The results of this investigation can be considered as a turning point in the improvement of theoretical results for achieving a better prediction of vibrational behavior in nanostructures.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48571618","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 : 2021-07-16DOI: 10.22055/JACM.2021.37807.3093
D. Inman, Aishwarya Gunasekar
A major goal in the design of architected structures for low frequency vibration applications (also called mechanical metamaterials, metastructures, elastic metamaterials, auxetic structures) is the creation of regions in the frequency domain where vibration amplitudes are minimal, regardless of the source of excitation. The idea is to provide vibration suppression in manmade structures. The proposed effort is to examine approaches to produce straightforward methods of designing a given mechanical metamaterial to have a specified gap in the frequency spectrum by adjusting its local mass and stiffness values of the individual cells. Previous work in mechanical metamaterial design has focused on using optimization procedures concerned with global vibration suppression. Here our efforts are focused on frequency separation using two direct approaches by interpreting techniques from the areas of model updating and inverse eigenvalue solutions. Rather than examining the overall suppression of vibration, creating specific bandgaps eliminates the possibility of resonance occurring in a given range of excitation frequencies.
{"title":"Frequency Separation in Architected Structures using Inverse Methods","authors":"D. Inman, Aishwarya Gunasekar","doi":"10.22055/JACM.2021.37807.3093","DOIUrl":"https://doi.org/10.22055/JACM.2021.37807.3093","url":null,"abstract":"A major goal in the design of architected structures for low frequency vibration applications (also called mechanical metamaterials, metastructures, elastic metamaterials, auxetic structures) is the creation of regions in the frequency domain where vibration amplitudes are minimal, regardless of the source of excitation. The idea is to provide vibration suppression in manmade structures. The proposed effort is to examine approaches to produce straightforward methods of designing a given mechanical metamaterial to have a specified gap in the frequency spectrum by adjusting its local mass and stiffness values of the individual cells. Previous work in mechanical metamaterial design has focused on using optimization procedures concerned with global vibration suppression. Here our efforts are focused on frequency separation using two direct approaches by interpreting techniques from the areas of model updating and inverse eigenvalue solutions. Rather than examining the overall suppression of vibration, creating specific bandgaps eliminates the possibility of resonance occurring in a given range of excitation frequencies.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44364000","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 : 2021-07-07DOI: 10.22055/JACM.2021.37698.3067
S. Manjunatha, V. Puneeth, B. J. Gireesha, Ali J. Chamkha
A new theoretical tri-hybrid nanofluid model for enhancing the heat transfer is presented in this article. This model explains the method to obtain a better heat conductor than the hybrid nanofluid. The tri-hybrid nanofluid is formed by suspending three types of nanoparticles with different physical and chemical bonds into a base fluid. In this study, the nanoparticles TiO2, Al2O3 and SiO2 are suspended into water thus forming the combination TiO2-SiO2-Al2O3-H2O. This combination helps in decomposing harmful substances, environmental purification and other appliances that requires cooling. The properties of tri-hybrid nanofluid such as Density, Viscosity, Thermal Conductivity, Electrical Conductivity and Specific Heat capacitance are defined mathematically in this article. The system of equations that governs the flow and temperature of the fluid are converted to ordinary differential equations and are solved using RKF-45 method. The results are discussed through graphs and it is observed that the tri-hybrid nanofluid has a better thermal conductivity than the hybrid nanofluid.
{"title":"Theoretical Study of Convective Heat Transfer in Ternary Nanofluid Flowing past a Stretching Sheet","authors":"S. Manjunatha, V. Puneeth, B. J. Gireesha, Ali J. Chamkha","doi":"10.22055/JACM.2021.37698.3067","DOIUrl":"https://doi.org/10.22055/JACM.2021.37698.3067","url":null,"abstract":"A new theoretical tri-hybrid nanofluid model for enhancing the heat transfer is presented in this article. This model explains the method to obtain a better heat conductor than the hybrid nanofluid. The tri-hybrid nanofluid is formed by suspending three types of nanoparticles with different physical and chemical bonds into a base fluid. In this study, the nanoparticles TiO2, Al2O3 and SiO2 are suspended into water thus forming the combination TiO2-SiO2-Al2O3-H2O. This combination helps in decomposing harmful substances, environmental purification and other appliances that requires cooling. The properties of tri-hybrid nanofluid such as Density, Viscosity, Thermal Conductivity, Electrical Conductivity and Specific Heat capacitance are defined mathematically in this article. The system of equations that governs the flow and temperature of the fluid are converted to ordinary differential equations and are solved using RKF-45 method. The results are discussed through graphs and it is observed that the tri-hybrid nanofluid has a better thermal conductivity than the hybrid nanofluid.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42353614","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 : 2021-07-01DOI: 10.22055/JACM.2021.37140.2969
M. R. Arbie, U. Fauzi, F. Latief, E. Mustopa
Solid deposition in fluid may involve solids with different density and size and may happen in quiescent fluid or rather in counter flow. We perform a numerical investigation on the role of density-ratios, size-ratio, and initial configuration on the settling of two circular solids in a fluid channel with or without counter-flow. Through this study, we show how settling dynamics of two solids can be controlled. Numerical experiment based on a coupled Immersed Boundary-Lattice Boltzmann is employed. It is shown that certain parameter set leads to guided deposition while denser solid leaves the less dense one as time progressing. However, certain parameter set leads to periodic close encounters which is robust in the presence of Poiseuille-like counter-flow. In this case, the separation between two solids is bounded during the deposition.
{"title":"Two-Solid Deposition in Fluid Column using Immersed Boundary-Lattice Boltzmann Method","authors":"M. R. Arbie, U. Fauzi, F. Latief, E. Mustopa","doi":"10.22055/JACM.2021.37140.2969","DOIUrl":"https://doi.org/10.22055/JACM.2021.37140.2969","url":null,"abstract":"Solid deposition in fluid may involve solids with different density and size and may happen in quiescent fluid or rather in counter flow. We perform a numerical investigation on the role of density-ratios, size-ratio, and initial configuration on the settling of two circular solids in a fluid channel with or without counter-flow. Through this study, we show how settling dynamics of two solids can be controlled. Numerical experiment based on a coupled Immersed Boundary-Lattice Boltzmann is employed. It is shown that certain parameter set leads to guided deposition while denser solid leaves the less dense one as time progressing. However, certain parameter set leads to periodic close encounters which is robust in the presence of Poiseuille-like counter-flow. In this case, the separation between two solids is bounded during the deposition.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":"7 1","pages":"1814-1825"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49175840","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 : 2021-07-01DOI: 10.22055/JACM.2021.37430.3013
N. N. Linh, Ngoc A. Nguyen, Kuu Van Nguyen, D. Nguyen
This paper presents a new equivalent stiffness-based load transfer model for an open-ended pipe pile. The main idea of this model is to replace the sum of unit stiffnesses corresponding with external and internal unit skin frictions in the basic differential equation of load transfer by a weighted average of equivalent unit stiffnesses using a dual approach of equivalent replacement. The contribution of external and internal skin frictions to equivalent unit stiffnesses is evaluated by normalized dimensionless weighting coefficients in the form of average value with the penetration depth. Application of new load transfer model to a jacked open-ended pile concerning semi-empirical models of external and internal unit skin frictions leads to corresponding explicit expressions of weighting coefficient. A computational example of a jacked open-ended pile is carried out. It is shown that the proposed equivalent stiffness-based load transfer model is an effective tool for analyzing behaviors of the open-ended pile in considering the soil plugging effect.
{"title":"Weighted Dual Approach to an Equivalent Stiffness-based Load Transfer Model for Jacked Open-ended Pile","authors":"N. N. Linh, Ngoc A. Nguyen, Kuu Van Nguyen, D. Nguyen","doi":"10.22055/JACM.2021.37430.3013","DOIUrl":"https://doi.org/10.22055/JACM.2021.37430.3013","url":null,"abstract":"This paper presents a new equivalent stiffness-based load transfer model for an open-ended pipe pile. The main idea of this model is to replace the sum of unit stiffnesses corresponding with external and internal unit skin frictions in the basic differential equation of load transfer by a weighted average of equivalent unit stiffnesses using a dual approach of equivalent replacement. The contribution of external and internal skin frictions to equivalent unit stiffnesses is evaluated by normalized dimensionless weighting coefficients in the form of average value with the penetration depth. Application of new load transfer model to a jacked open-ended pile concerning semi-empirical models of external and internal unit skin frictions leads to corresponding explicit expressions of weighting coefficient. A computational example of a jacked open-ended pile is carried out. It is shown that the proposed equivalent stiffness-based load transfer model is an effective tool for analyzing behaviors of the open-ended pile in considering the soil plugging effect.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":"7 1","pages":"1751-1763"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46283186","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 : 2021-07-01DOI: 10.22055/JACM.2021.35725.2719
O. Lyashuk, B. Sokil, R. Hevko, V. Aulin, L. Serilko, Y. Vovk, D. Serilko, Andriy Dovbysh
The theoretical calculations of the dynamics of the conveyor drive chain oscillations for different speeds of bulk material movement as a result of motion internal perturbations have been presented in the article. Resonant oscillations have been studied. It has been established that the amplitude of the transition through the resonance is greater for higher speeds of the conveyor drive chain and the maximum dynamic tension in the chain increases with increasing speed of transportation of bulk material. The dependences of the natural frequency of the system "drive chain of the conveyor line - grain" on the parameters of the system and the amplitude, as well as the amplitude of the resonant oscillations of the system on the speed of grain movement have been obtained. The dependence of the resonance amplitude of the system "conveyor chain drive - grain mass" on the speed of the drive chain at certain parameters has been determined. Taking into account the obtained theoretical data, an improved construction of a tubular chain conveyor with various working bodies and stand equipment using the Altivar 71 frequency converter for complex tasks of the electric drive from 0.75 to 630 kW has been developed. The experimental researches have been carried out and the dependences for definition of productivity and a rotation moment at transportation by the tubular scraper conveyor on curvilinear routes for loose material (wheat and peas) have been received.
{"title":"The Dynamics of the Working Body of the Tubular Conveyor with the Chain Drive","authors":"O. Lyashuk, B. Sokil, R. Hevko, V. Aulin, L. Serilko, Y. Vovk, D. Serilko, Andriy Dovbysh","doi":"10.22055/JACM.2021.35725.2719","DOIUrl":"https://doi.org/10.22055/JACM.2021.35725.2719","url":null,"abstract":"The theoretical calculations of the dynamics of the conveyor drive chain oscillations for different speeds of bulk material movement as a result of motion internal perturbations have been presented in the article. Resonant oscillations have been studied. It has been established that the amplitude of the transition through the resonance is greater for higher speeds of the conveyor drive chain and the maximum dynamic tension in the chain increases with increasing speed of transportation of bulk material. The dependences of the natural frequency of the system \"drive chain of the conveyor line - grain\" on the parameters of the system and the amplitude, as well as the amplitude of the resonant oscillations of the system on the speed of grain movement have been obtained. The dependence of the resonance amplitude of the system \"conveyor chain drive - grain mass\" on the speed of the drive chain at certain parameters has been determined. Taking into account the obtained theoretical data, an improved construction of a tubular chain conveyor with various working bodies and stand equipment using the Altivar 71 frequency converter for complex tasks of the electric drive from 0.75 to 630 kW has been developed. The experimental researches have been carried out and the dependences for definition of productivity and a rotation moment at transportation by the tubular scraper conveyor on curvilinear routes for loose material (wheat and peas) have been received.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":"7 1","pages":"1710-1718"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43490442","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 : 2021-07-01DOI: 10.22055/JACM.2021.37244.2987
Xuefeng Li
We develop a new general purpose variational formulation, particularly suitable for solving boundary value problems of orders greater than two. The functional related to this variational formulation requires only Η1 regularity in order to be well-defined. Using the finite element method based on this new formulation thus becomes simple even for domains in dimensions greater than one. We prove that a saddle-point solution to the new variational formulation is a weak solution to the associated boundary value problem. We also prove the convergence of the numerical methods used to find approximate solutions to the new formulation. We provide numerical tests to demonstrate the efficacy of this new paradigm.
{"title":"A General Purpose Variational Formulation for Boundary Value Problems of Orders Greater than Two","authors":"Xuefeng Li","doi":"10.22055/JACM.2021.37244.2987","DOIUrl":"https://doi.org/10.22055/JACM.2021.37244.2987","url":null,"abstract":"We develop a new general purpose variational formulation, particularly suitable for solving boundary value problems of orders greater than two. The functional related to this variational formulation requires only Η1 regularity in order to be well-defined. Using the finite element method based on this new formulation thus becomes simple even for domains in dimensions greater than one. We prove that a saddle-point solution to the new variational formulation is a weak solution to the associated boundary value problem. We also prove the convergence of the numerical methods used to find approximate solutions to the new formulation. We provide numerical tests to demonstrate the efficacy of this new paradigm.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":"7 1","pages":"1788-1802"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45356828","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 : 2021-07-01DOI: 10.22055/JACM.2021.36020.2819
Mridul Sannyal, A. Mukaddes
In thermal ablation, several techniques of treating infected cell in human tissue are being used by the physicians. Transferring heat to the infected cell is one of them. The purpose of this research is to investigate the tissue-temperature controlled system in thermal ablation and compare with two different point heating processes, namely constant and step heating. For this purpose, the finite element model of Penne’s bio-heat equation has been developed to measure the temperature within the two-dimensional tissue model embedded with a small tumor. The tissue temperature-controlled heating was designed to restrict the healthy tissue temperature below the damage threshold temperature. Using the temperature profile, tissue damage index was measured with the help of Arrhenius rate equation. The results show that the tissue temperature-controlled system reduces the temperature of healthy tissue nearby the infected cell to 40% compare to constant and step point heating. This system keeps the healthy tissue within the threshold value (43oC) up to 1000s when it is 100s for other two techniques. After 200s, healthy tissue nearby the infected cell start to damage for constant and step point heating. But temperature-controlled system always keep the healthy tissue safe. The results of this research conclude the temperature-controlled system a better heating technique to remove the infected cell. The information published in this paper will be helpful for the physicians and bio-medical engineers to treat the infected cell or to design medical equipment.
{"title":"Numerical Investigation of Tissue-Temperature Controlled System in Thermal Ablation: A Finite Element Approach","authors":"Mridul Sannyal, A. Mukaddes","doi":"10.22055/JACM.2021.36020.2819","DOIUrl":"https://doi.org/10.22055/JACM.2021.36020.2819","url":null,"abstract":"In thermal ablation, several techniques of treating infected cell in human tissue are being used by the physicians. Transferring heat to the infected cell is one of them. The purpose of this research is to investigate the tissue-temperature controlled system in thermal ablation and compare with two different point heating processes, namely constant and step heating. For this purpose, the finite element model of Penne’s bio-heat equation has been developed to measure the temperature within the two-dimensional tissue model embedded with a small tumor. The tissue temperature-controlled heating was designed to restrict the healthy tissue temperature below the damage threshold temperature. Using the temperature profile, tissue damage index was measured with the help of Arrhenius rate equation. The results show that the tissue temperature-controlled system reduces the temperature of healthy tissue nearby the infected cell to 40% compare to constant and step point heating. This system keeps the healthy tissue within the threshold value (43oC) up to 1000s when it is 100s for other two techniques. After 200s, healthy tissue nearby the infected cell start to damage for constant and step point heating. But temperature-controlled system always keep the healthy tissue safe. The results of this research conclude the temperature-controlled system a better heating technique to remove the infected cell. The information published in this paper will be helpful for the physicians and bio-medical engineers to treat the infected cell or to design medical equipment.","PeriodicalId":37801,"journal":{"name":"Applied and Computational Mechanics","volume":"7 1","pages":"1826-1835"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47286721","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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