Pub Date : 2022-09-12DOI: 10.1080/15502287.2022.2120442
U. A. Raja, J. Siddique, A. Ahmed
Abstract The present study provides a novelty approach for the computational biological model based on continuum mixture theory in combination with power-law model for incorporating an accurate governing model for the synovial fluids. We investigated the biomechanical response of a soft tissue while passage of non-Newtonian fluid during act of loading at the rigid bony interface. A special kind of multiphasic deformation has been reported in these types of problems that justify nonlinear coupling between the fluid and solid. In modeling these types of problems, general assumption of mixture constituents incompressibility is often provoked. The mixture components are considered intrinsically incompressible; however, in the derivation of governing equations, viscoelastic behavior of the solid along with interstitial fluid was developed. The nonlinear interaction between the fluid–solid is modeled using strain-dependent permeability and is experimentally determined. This manipulation of linear model with nonlinear permeability required attention for the computational point of view. A system of nonlinear coupled partial differential equations is derived for the local fluid pressure along with an equation for solid deformation. The governing system of equations is solved numerically for the case of permeability dependent flow, whereas an exact solution is given for constant permeability case. Various interesting features, such as, pressure changes within the tissue, swelling behavior of the solid matrix, and effects of power law index on the tissue deformation have been presented graphically. A good qualitative agreement has been noticed between the exact and numerical solutions for constant permeability case.
{"title":"Biomechanical response of soft tissues during passage of synovial fluid in compression","authors":"U. A. Raja, J. Siddique, A. Ahmed","doi":"10.1080/15502287.2022.2120442","DOIUrl":"https://doi.org/10.1080/15502287.2022.2120442","url":null,"abstract":"Abstract The present study provides a novelty approach for the computational biological model based on continuum mixture theory in combination with power-law model for incorporating an accurate governing model for the synovial fluids. We investigated the biomechanical response of a soft tissue while passage of non-Newtonian fluid during act of loading at the rigid bony interface. A special kind of multiphasic deformation has been reported in these types of problems that justify nonlinear coupling between the fluid and solid. In modeling these types of problems, general assumption of mixture constituents incompressibility is often provoked. The mixture components are considered intrinsically incompressible; however, in the derivation of governing equations, viscoelastic behavior of the solid along with interstitial fluid was developed. The nonlinear interaction between the fluid–solid is modeled using strain-dependent permeability and is experimentally determined. This manipulation of linear model with nonlinear permeability required attention for the computational point of view. A system of nonlinear coupled partial differential equations is derived for the local fluid pressure along with an equation for solid deformation. The governing system of equations is solved numerically for the case of permeability dependent flow, whereas an exact solution is given for constant permeability case. Various interesting features, such as, pressure changes within the tissue, swelling behavior of the solid matrix, and effects of power law index on the tissue deformation have been presented graphically. A good qualitative agreement has been noticed between the exact and numerical solutions for constant permeability case.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130466894","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 : 2022-09-12DOI: 10.1080/15502287.2022.2120443
M. Touiker, A. Bourouis, A. Omara, Rabah Bouchair
Abstract This work deals with the numerical study of the thermosolutal natural convection from a heat source immerged in a porous layer, which is placed vertically inside a square cavity. All walls of the cavity are thermally insulated, except the right wall, which is maintained at cold temperature. For the mass boundary conditions, the vertical walls are subjected to a gradient of concentration, whereas the horizontal walls and the part of the left wall that contacts with the heat source are impermeable. The finite volume method and the SIMPLER algorithm are employed to solve the mathematical equations. The effects of several geometrical and physical parameters are analyzed, such as vertical heat source positions (0 ≤ Yp ≤ 0.8), the porous layer thickness (0 ≤ Xp ≤ 1), the thermal conductivity ratio (1 ≤ Kr ≤ 100), Darcy number (10−6 ≤ Da ≤ 10−2), Rayleigh number (104 ≤ Ra ≤ 106), Lewis number (0.1 ≤ Le ≤ 10), and the buoyancy ratio (-5 ≤ N ≤ 5). The results indicate that the best cooling of the heat source is observed when the Yp is located between 0.38 and 0.55. Moreover, the case of coupling heat and mass transfer (N ≠ 0) offers low maximum heat source temperature compared to that of the classical natural convection (N = 0), especially with an increase in the Ra number and N and/or a decrease in the Le number. In addition, an increase in the thermal conductivity ratio and the permeability of the porous layer (Da) enhances the cooling process of the thermal source.
{"title":"Thermosolutal natural convection cooling process of a thermal source inside a partially porous cavity","authors":"M. Touiker, A. Bourouis, A. Omara, Rabah Bouchair","doi":"10.1080/15502287.2022.2120443","DOIUrl":"https://doi.org/10.1080/15502287.2022.2120443","url":null,"abstract":"Abstract This work deals with the numerical study of the thermosolutal natural convection from a heat source immerged in a porous layer, which is placed vertically inside a square cavity. All walls of the cavity are thermally insulated, except the right wall, which is maintained at cold temperature. For the mass boundary conditions, the vertical walls are subjected to a gradient of concentration, whereas the horizontal walls and the part of the left wall that contacts with the heat source are impermeable. The finite volume method and the SIMPLER algorithm are employed to solve the mathematical equations. The effects of several geometrical and physical parameters are analyzed, such as vertical heat source positions (0 ≤ Yp ≤ 0.8), the porous layer thickness (0 ≤ Xp ≤ 1), the thermal conductivity ratio (1 ≤ Kr ≤ 100), Darcy number (10−6 ≤ Da ≤ 10−2), Rayleigh number (104 ≤ Ra ≤ 106), Lewis number (0.1 ≤ Le ≤ 10), and the buoyancy ratio (-5 ≤ N ≤ 5). The results indicate that the best cooling of the heat source is observed when the Yp is located between 0.38 and 0.55. Moreover, the case of coupling heat and mass transfer (N ≠ 0) offers low maximum heat source temperature compared to that of the classical natural convection (N = 0), especially with an increase in the Ra number and N and/or a decrease in the Le number. In addition, an increase in the thermal conductivity ratio and the permeability of the porous layer (Da) enhances the cooling process of the thermal source.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129854262","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 : 2022-08-24DOI: 10.1080/15502287.2022.2113183
R. Agrawal, S. Saini, Pradeep Kaswan
Abstract The purpose of this paper is to discuss the melting heat transfer and flow of a micropolar fluid due to an exponentially stretching sheet, analogous to ordinary fluid. The impacts of slip parameter, viscous dissipation, Joule heating, heat source, and thermal radiation are anticipated. The transport of heat, momentum, and angular momentum is expressed mathematically using a set of partial differential equations (PDEs). The PDEs are turned into a set of dimensionless ordinary differential equations by employing similarity variables adequately and interpreted numerically utilizing a well-known computer language in-built software bvp4c solver in MATLAB. It is noticed that the impacts of several parameters (Prandtl number, Eckert number, magnetic, heat generation parameters, etc.) on physical quantities and flow fields (velocity, temperature, and microrotation profiles) are remarkable and which are exhibited graphically and discussed in details. It is detected that, by enhancing the melting parameter, the microrotation profile appears to be dwindling near the wall; however, it is eventually lifted. Increasing the slip parameter depletes the velocity and microrotation fields, whereas it has reverse effect on the thermal field. Moreover, the thermal field is positively affected by viscous dissipation and heat generation, but slightly more enhancement has been seen for ordinary fluid compared to micropolar fluid.
{"title":"Numerical modeling of MHD micropolar fluid flow and melting heat transfer under thermal radiation and Joule heating","authors":"R. Agrawal, S. Saini, Pradeep Kaswan","doi":"10.1080/15502287.2022.2113183","DOIUrl":"https://doi.org/10.1080/15502287.2022.2113183","url":null,"abstract":"Abstract The purpose of this paper is to discuss the melting heat transfer and flow of a micropolar fluid due to an exponentially stretching sheet, analogous to ordinary fluid. The impacts of slip parameter, viscous dissipation, Joule heating, heat source, and thermal radiation are anticipated. The transport of heat, momentum, and angular momentum is expressed mathematically using a set of partial differential equations (PDEs). The PDEs are turned into a set of dimensionless ordinary differential equations by employing similarity variables adequately and interpreted numerically utilizing a well-known computer language in-built software bvp4c solver in MATLAB. It is noticed that the impacts of several parameters (Prandtl number, Eckert number, magnetic, heat generation parameters, etc.) on physical quantities and flow fields (velocity, temperature, and microrotation profiles) are remarkable and which are exhibited graphically and discussed in details. It is detected that, by enhancing the melting parameter, the microrotation profile appears to be dwindling near the wall; however, it is eventually lifted. Increasing the slip parameter depletes the velocity and microrotation fields, whereas it has reverse effect on the thermal field. Moreover, the thermal field is positively affected by viscous dissipation and heat generation, but slightly more enhancement has been seen for ordinary fluid compared to micropolar fluid.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"17 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114800247","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 : 2022-08-23DOI: 10.1080/15502287.2022.2113184
A. Abdel-Rahman
Abstract The neo-Hookean materials change their behaviour at large stress values to give more strain than linear trend (Hook’s region) and plastic deformations appear and ultimately fail. A Mooney-Rivlin model successfully describes this behaviour based on theoretical derivations deduced from Kinetic theory. Although the model takes into account that the deformation involves a change in the volume of rubber, their relationship is quite fitting for a small stress-strain region (Gaussian region). In the present work, a peer model to Mooney-Rivlin one was presented, which covers the full behaviour of the stress-strain relationship. It is based on the theoretical derivation of the critical elongation value, which has been noticed previously in many earlier works but not theoretically defined. The internal friction coefficient, as a mechanical property of the material, was introduced in this model. Unexpectedly, the behaviour of elastic materials at small stress values is not Hookean but shows constant strain as the stress increases in a very small region. HIGHLIGHTS The critical elongation value is theoretically driven. Internal friction, which is a mechanical property of the material, is presented as a variable in the stress-strain model. Showing the behaviour of elastic materials at small stress values. Extend the well-known Mooney-Rivlin model to cover the stress-strain regime.
{"title":"A semi-empirical approach model for neo-Hookean solids","authors":"A. Abdel-Rahman","doi":"10.1080/15502287.2022.2113184","DOIUrl":"https://doi.org/10.1080/15502287.2022.2113184","url":null,"abstract":"Abstract The neo-Hookean materials change their behaviour at large stress values to give more strain than linear trend (Hook’s region) and plastic deformations appear and ultimately fail. A Mooney-Rivlin model successfully describes this behaviour based on theoretical derivations deduced from Kinetic theory. Although the model takes into account that the deformation involves a change in the volume of rubber, their relationship is quite fitting for a small stress-strain region (Gaussian region). In the present work, a peer model to Mooney-Rivlin one was presented, which covers the full behaviour of the stress-strain relationship. It is based on the theoretical derivation of the critical elongation value, which has been noticed previously in many earlier works but not theoretically defined. The internal friction coefficient, as a mechanical property of the material, was introduced in this model. Unexpectedly, the behaviour of elastic materials at small stress values is not Hookean but shows constant strain as the stress increases in a very small region. HIGHLIGHTS The critical elongation value is theoretically driven. Internal friction, which is a mechanical property of the material, is presented as a variable in the stress-strain model. Showing the behaviour of elastic materials at small stress values. Extend the well-known Mooney-Rivlin model to cover the stress-strain regime.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129193289","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 : 2022-05-23DOI: 10.1080/15502287.2022.2080612
A. Nguyen, Thang Cao Nguyen, Tran Tuan Long, N. D. Anh, P. M. Thang, Nguyen Xuan Thanh
Abstract This paper presents a dual approach to the conventional averaging (CA) in order to construct a weighted averaging. A one-parameter weighting function for the novel weighted local averaging (WLA) is presented and analyzed in detail. The advantage of the proposed WLA is demonstrated by its application to the Galerkin method, which leads to a so-called the Galerkin method with weighted local averaging (GWLA). Application of the GWLA to the problem of elastic buckling of columns shows that the new idea can improve significantly the accuracy of the first order approximate solution of the Galerkin method. In order to solve the problem of selecting a specific weighting function among the classes of one-parameter weighting functions, the global-local approach is implemented. Further approximations resulting in the simplified GWLA (SGWLA) have been made to reduce the computation cost while still maintaining the accuracy of the solutions obtained by the GWLA. In addition, the effectiveness of the WLA is demonstrated by its combination with the least squares method to transform column with variable cross-section into equivalent column with constant cross-section. Numerical calculations show that the approximate critical buckling loads obtained by the newly developed GWLA and SGWLA outperform those obtained by the Galerkin method with conventional averaging (GCA). These new numerical algorithms could provide a novel and potential effective alternative tool for engineering calculation in designing structures with varying cross-sections.
{"title":"A novel weighted local averaging for the Galerkin method with application to elastic buckling of Euler column","authors":"A. Nguyen, Thang Cao Nguyen, Tran Tuan Long, N. D. Anh, P. M. Thang, Nguyen Xuan Thanh","doi":"10.1080/15502287.2022.2080612","DOIUrl":"https://doi.org/10.1080/15502287.2022.2080612","url":null,"abstract":"Abstract This paper presents a dual approach to the conventional averaging (CA) in order to construct a weighted averaging. A one-parameter weighting function for the novel weighted local averaging (WLA) is presented and analyzed in detail. The advantage of the proposed WLA is demonstrated by its application to the Galerkin method, which leads to a so-called the Galerkin method with weighted local averaging (GWLA). Application of the GWLA to the problem of elastic buckling of columns shows that the new idea can improve significantly the accuracy of the first order approximate solution of the Galerkin method. In order to solve the problem of selecting a specific weighting function among the classes of one-parameter weighting functions, the global-local approach is implemented. Further approximations resulting in the simplified GWLA (SGWLA) have been made to reduce the computation cost while still maintaining the accuracy of the solutions obtained by the GWLA. In addition, the effectiveness of the WLA is demonstrated by its combination with the least squares method to transform column with variable cross-section into equivalent column with constant cross-section. Numerical calculations show that the approximate critical buckling loads obtained by the newly developed GWLA and SGWLA outperform those obtained by the Galerkin method with conventional averaging (GCA). These new numerical algorithms could provide a novel and potential effective alternative tool for engineering calculation in designing structures with varying cross-sections.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114625776","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 : 2022-05-13DOI: 10.1080/15502287.2022.2073296
D. X. Tung
Abstract This work is concerned with the reflection and transmission of quasi P wave incident at an imperfect interface between two nonlocal transversely isotropic elastic half-spaces. The linear spring model is used to describe the imperfection of bonding behavior at the interface. Reflection, transmission coefficients (RTC) have been derived analytically for when a longitudinal displacement wave strikes for both imperfect and perfect interface. Finally, numerical examples are provided to show the effect of the imperfect interface, nonlocal parameter and incident angle on the reflection and transmission coefficients.
{"title":"Influence of boundary conditions on the reflection and transmission of qP-wave at an interface between two nonlocal transversely isotropic elastic half-spaces","authors":"D. X. Tung","doi":"10.1080/15502287.2022.2073296","DOIUrl":"https://doi.org/10.1080/15502287.2022.2073296","url":null,"abstract":"Abstract This work is concerned with the reflection and transmission of quasi P wave incident at an imperfect interface between two nonlocal transversely isotropic elastic half-spaces. The linear spring model is used to describe the imperfection of bonding behavior at the interface. Reflection, transmission coefficients (RTC) have been derived analytically for when a longitudinal displacement wave strikes for both imperfect and perfect interface. Finally, numerical examples are provided to show the effect of the imperfect interface, nonlocal parameter and incident angle on the reflection and transmission coefficients.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129065750","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 : 2022-04-28DOI: 10.1080/15502287.2022.2066031
M. Salloum, B. Bon
Abstract Computational engineering models often contain unknown entities (e.g. parameters, initial and boundary conditions) that require estimation from other measured observable data. Estimating such unknown entities is challenging when they involve spatio-temporal fields because such functional variables often require an infinite-dimensional representation. We address this problem by transforming an unknown functional field using Alpert wavelet bases and truncating the resulting spectrum. Hence the problem reduces to the estimation of few coefficients that can be performed using common optimization methods. We apply this method on a one-dimensional heat transfer problem where we estimate the heat source field varying in both time and space. The observable data is comprised of temperature measured at several thermocouples in the domain. This latter is composed of either copper or stainless steel. The optimization using our method based on wavelets is able to estimate the heat source with an error between 5% and 7%. We analyze the effect of the domain material and number of thermocouples as well as the sensitivity to the initial guess of the heat source. Finally, we estimate the unknown heat source using a different approach based on deep learning techniques where we consider the input and output of a multi-layer perceptron in wavelet form. We find that this deep learning approach is more accurate than the optimization approach with errors below 4%.
{"title":"Alpert multi-wavelets for functional inverse problems: direct optimization and deep learning","authors":"M. Salloum, B. Bon","doi":"10.1080/15502287.2022.2066031","DOIUrl":"https://doi.org/10.1080/15502287.2022.2066031","url":null,"abstract":"Abstract Computational engineering models often contain unknown entities (e.g. parameters, initial and boundary conditions) that require estimation from other measured observable data. Estimating such unknown entities is challenging when they involve spatio-temporal fields because such functional variables often require an infinite-dimensional representation. We address this problem by transforming an unknown functional field using Alpert wavelet bases and truncating the resulting spectrum. Hence the problem reduces to the estimation of few coefficients that can be performed using common optimization methods. We apply this method on a one-dimensional heat transfer problem where we estimate the heat source field varying in both time and space. The observable data is comprised of temperature measured at several thermocouples in the domain. This latter is composed of either copper or stainless steel. The optimization using our method based on wavelets is able to estimate the heat source with an error between 5% and 7%. We analyze the effect of the domain material and number of thermocouples as well as the sensitivity to the initial guess of the heat source. Finally, we estimate the unknown heat source using a different approach based on deep learning techniques where we consider the input and output of a multi-layer perceptron in wavelet form. We find that this deep learning approach is more accurate than the optimization approach with errors below 4%.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"224 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124455096","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 : 2022-04-25DOI: 10.1080/15502287.2022.2066033
S. K. Panja, A. Lahiri, S. Mandal
Abstract This article represents a refined one-temperature thermoelastic model with higher order time derivatives and phase-lags for a Mode-I crack in a rotating fiber-reinforced solid. The crack is subjected to a stipulated temperature and normal stress. The exact expressions of displacement, temperature and stress components are obtained by normal mode analysis. Some generalized thermoelasticity theories are obtained as special cases. The convergency of the present refined model is tabulated and is compared with other theories. The variations of the temperature, displacements and stresses are presented graphically with the crack length to show the effect of phase-lags and thermal relaxation time through Refined-phase-lag (RPL), simple-phase-lag (SPL), Green-Naghdi (G-N) theory, Lord-Shulman (L-S) theory and the Coupled thermoelasticity (CTE) theory in the presence and absence of rotation.
{"title":"A thermoelastic model with higher order time derivatives for a crack in a rotating solid","authors":"S. K. Panja, A. Lahiri, S. Mandal","doi":"10.1080/15502287.2022.2066033","DOIUrl":"https://doi.org/10.1080/15502287.2022.2066033","url":null,"abstract":"Abstract This article represents a refined one-temperature thermoelastic model with higher order time derivatives and phase-lags for a Mode-I crack in a rotating fiber-reinforced solid. The crack is subjected to a stipulated temperature and normal stress. The exact expressions of displacement, temperature and stress components are obtained by normal mode analysis. Some generalized thermoelasticity theories are obtained as special cases. The convergency of the present refined model is tabulated and is compared with other theories. The variations of the temperature, displacements and stresses are presented graphically with the crack length to show the effect of phase-lags and thermal relaxation time through Refined-phase-lag (RPL), simple-phase-lag (SPL), Green-Naghdi (G-N) theory, Lord-Shulman (L-S) theory and the Coupled thermoelasticity (CTE) theory in the presence and absence of rotation.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127969275","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 : 2022-03-21DOI: 10.1080/15502287.2022.2050844
J. Benhamou, M. Jami, A. Mezrhab, D. Henry, V. Botton
Abstract This paper presents a numerical investigation of the propagation of acoustic waves generated by a linear acoustic source using the lattice Boltzmann method (LBM). The main objective of this study is to compute the sound pressure and acoustic force produced by a rectangular sound source located at the center of the west wall of a rectangular cavity, filled with water. The sound source is discretized into a set of point sources emitting waves according to the acoustic point source method. The interference between the generated cylindrical waves creates an acoustic beam in the cavity. An analytical study is carried out to validate these numerical results. The error between the numerical and analytical calculations of the wave propagation is also discussed to confirm the validity of the numerical approach. In a second step, the acoustic streaming is calculated by introducing the acoustic force into the LBM code. A characteristic flow structure with two recirculating cells is thus obtained.
{"title":"Numerical simulation study of acoustic waves propagation and streaming using MRT-lattice Boltzmann method","authors":"J. Benhamou, M. Jami, A. Mezrhab, D. Henry, V. Botton","doi":"10.1080/15502287.2022.2050844","DOIUrl":"https://doi.org/10.1080/15502287.2022.2050844","url":null,"abstract":"Abstract This paper presents a numerical investigation of the propagation of acoustic waves generated by a linear acoustic source using the lattice Boltzmann method (LBM). The main objective of this study is to compute the sound pressure and acoustic force produced by a rectangular sound source located at the center of the west wall of a rectangular cavity, filled with water. The sound source is discretized into a set of point sources emitting waves according to the acoustic point source method. The interference between the generated cylindrical waves creates an acoustic beam in the cavity. An analytical study is carried out to validate these numerical results. The error between the numerical and analytical calculations of the wave propagation is also discussed to confirm the validity of the numerical approach. In a second step, the acoustic streaming is calculated by introducing the acoustic force into the LBM code. A characteristic flow structure with two recirculating cells is thus obtained.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126156648","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 : 2022-03-09DOI: 10.1080/15502287.2022.2049399
Fazlolah Mohaghegh, M. Janechek, James H. J. Buchholz, H. Udaykumar
Abstract This study investigates the capabilities of a diffuse interface immersed boundary method in the simulation of fluid flow over an oscillating flat-plate airfoil at moderately high Reynolds numbers where interacting unsteady vortical flows control the flow behavior. The recently developed and modified Smoothed Profile Method (SPM) is adopted as a diffuse interface immersed boundary solver to model the fluid-structure interaction (FSI) problem. While in general diffuse interface methods are simpler to implement relative to sharp-interface methods (SIMs), they have been thought to lose accuracy in the simulation of moderate Reynolds number flows. The simulation results show that the lift coefficient and vorticity contours from SPM match well with experiments. Moreover, our detailed analysis of the vorticity fluxes at the airfoil leading edge and the comparison with experiments also show that SPM can be used for moderate Reynolds number external aerodynamics problems applicable to micro-air vehicles.
{"title":"Numerical investigation of a plunging flat-plate airfoil using a diffuse interface immersed boundary method","authors":"Fazlolah Mohaghegh, M. Janechek, James H. J. Buchholz, H. Udaykumar","doi":"10.1080/15502287.2022.2049399","DOIUrl":"https://doi.org/10.1080/15502287.2022.2049399","url":null,"abstract":"Abstract This study investigates the capabilities of a diffuse interface immersed boundary method in the simulation of fluid flow over an oscillating flat-plate airfoil at moderately high Reynolds numbers where interacting unsteady vortical flows control the flow behavior. The recently developed and modified Smoothed Profile Method (SPM) is adopted as a diffuse interface immersed boundary solver to model the fluid-structure interaction (FSI) problem. While in general diffuse interface methods are simpler to implement relative to sharp-interface methods (SIMs), they have been thought to lose accuracy in the simulation of moderate Reynolds number flows. The simulation results show that the lift coefficient and vorticity contours from SPM match well with experiments. Moreover, our detailed analysis of the vorticity fluxes at the airfoil leading edge and the comparison with experiments also show that SPM can be used for moderate Reynolds number external aerodynamics problems applicable to micro-air vehicles.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131168175","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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