Pub Date : 2023-03-14DOI: 10.1080/15502287.2023.2186968
B. Das, S. Sardar, D. Ghosh, A. Lahiri
Abstract In this paper, we consider the new concept of non-local heat conduction equation to generalized magneto-thermoelastic problem of two dimensional isotropic and homogeneous half-space in presence of heat-flux at the boundary surface. By using the harmonic plane waves, the governing equations are transformed to the vector matrix differential equation which is then solved by eigenvalue method. The analytical closed form solutions for displacement component, temperature distribution and stress components have been made and comparisons are also illustrated graphically with the theory of non-local dual-phase-lag (NLDPL) and non-local Lord-Shulman (NLLS) theory for different values of physical parameters. The significant effects of non-local variables as well as phase lagging parameters on displacements, temperature distribution and stress components are studied by means of graphically and concluding remarks are drawn.
{"title":"Wave propagation in a non-local magneto-thermoelastic medium permeated by heat source","authors":"B. Das, S. Sardar, D. Ghosh, A. Lahiri","doi":"10.1080/15502287.2023.2186968","DOIUrl":"https://doi.org/10.1080/15502287.2023.2186968","url":null,"abstract":"Abstract In this paper, we consider the new concept of non-local heat conduction equation to generalized magneto-thermoelastic problem of two dimensional isotropic and homogeneous half-space in presence of heat-flux at the boundary surface. By using the harmonic plane waves, the governing equations are transformed to the vector matrix differential equation which is then solved by eigenvalue method. The analytical closed form solutions for displacement component, temperature distribution and stress components have been made and comparisons are also illustrated graphically with the theory of non-local dual-phase-lag (NLDPL) and non-local Lord-Shulman (NLLS) theory for different values of physical parameters. The significant effects of non-local variables as well as phase lagging parameters on displacements, temperature distribution and stress components are studied by means of graphically and concluding remarks are drawn.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121981822","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 : 2023-03-14DOI: 10.1080/15502287.2023.2186966
S. K, L. Doss
Abstract In this article, we analyzed a general system of first order singularly perturbed semi-linear equations with distinct perturbation parameters in the unit interval. As boundary layers are expected near the origin in the solution components, variants of piecewise uniform meshes, introduced by Shishkin, are constructed to discretize the unit interval and standard finite difference scheme is used to discretize the equations. Parameter uniform convergence of the composed numerical method is proved. A continuation method is used to compute the numerical solution of the non-linear problem and numerical illustrations are given in support.
{"title":"A fitted mesh method for a coupled semi-linear system of singularly perturbed initial value problems","authors":"S. K, L. Doss","doi":"10.1080/15502287.2023.2186966","DOIUrl":"https://doi.org/10.1080/15502287.2023.2186966","url":null,"abstract":"Abstract In this article, we analyzed a general system of first order singularly perturbed semi-linear equations with distinct perturbation parameters in the unit interval. As boundary layers are expected near the origin in the solution components, variants of piecewise uniform meshes, introduced by Shishkin, are constructed to discretize the unit interval and standard finite difference scheme is used to discretize the equations. Parameter uniform convergence of the composed numerical method is proved. A continuation method is used to compute the numerical solution of the non-linear problem and numerical illustrations are given in support.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133430122","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 : 2023-03-08DOI: 10.1080/15502287.2023.2185553
G. M. Sarkar, B. Sahoo
Abstract The present study accentuates an unsteady flow and heat transfer over a shrinking surface in the presence of magnetic field and suction effects. Similarity solutions of the self-similar equations are generated via Matlab solver ‘bvp4c’. The solutions corresponding to different values of the velocity ratio parameter (c) reveal some interesting results, which are discussed in detail. It has been observed that adequate suction is required to obtain the similarity solutions. The shear stresses and heat transfer rate are prominently affected by the intensity of suction, velocity ratio parameter, and magnetic field. Unlike an unsteady stretching sheet problem, dual solutions of the self-similar equations are found in a certain range of unsteadiness parameter. An emphasis has been given to performing a temporal stability analysis which reveals that the upper branch is a stable solution branch.
{"title":"Unsteady flow with heat transfer over a shrinking surface and linear temporal stability analysis","authors":"G. M. Sarkar, B. Sahoo","doi":"10.1080/15502287.2023.2185553","DOIUrl":"https://doi.org/10.1080/15502287.2023.2185553","url":null,"abstract":"Abstract The present study accentuates an unsteady flow and heat transfer over a shrinking surface in the presence of magnetic field and suction effects. Similarity solutions of the self-similar equations are generated via Matlab solver ‘bvp4c’. The solutions corresponding to different values of the velocity ratio parameter (c) reveal some interesting results, which are discussed in detail. It has been observed that adequate suction is required to obtain the similarity solutions. The shear stresses and heat transfer rate are prominently affected by the intensity of suction, velocity ratio parameter, and magnetic field. Unlike an unsteady stretching sheet problem, dual solutions of the self-similar equations are found in a certain range of unsteadiness parameter. An emphasis has been given to performing a temporal stability analysis which reveals that the upper branch is a stable solution branch.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114297756","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 : 2023-03-08DOI: 10.1080/15502287.2023.2186974
S. Joshi, Sanjeev K. Singh, S. Dubey
Abstract Metallic nanowires are now extensively used in several nanoscale devices and applications. To further enhance their efficient usage, the estimation and prediction of thermal and mechanical properties of these nanowires is very important. Performing experimental studies on the objects of such a small dimension is quite challenging. Molecular dynamics simulation technique can easily simulate and perform virtual experimentation on the objects of nanoscale dimensions. In the present work, silver nanowires of known dimension simulated and a uniaxial stress has been implemented using the Molecular dynamics approach. The stress-strain data generated by MD simulation, has been utilized to train, test and validate different machine learning models. These machine-learning models offer a reasonably good amount of predictability of the tensile characteristics of the silver nanowire at any temperature.
{"title":"Machine learning and molecular dynamics based models to predict the temperature dependent elastic properties of silver nanowires","authors":"S. Joshi, Sanjeev K. Singh, S. Dubey","doi":"10.1080/15502287.2023.2186974","DOIUrl":"https://doi.org/10.1080/15502287.2023.2186974","url":null,"abstract":"Abstract Metallic nanowires are now extensively used in several nanoscale devices and applications. To further enhance their efficient usage, the estimation and prediction of thermal and mechanical properties of these nanowires is very important. Performing experimental studies on the objects of such a small dimension is quite challenging. Molecular dynamics simulation technique can easily simulate and perform virtual experimentation on the objects of nanoscale dimensions. In the present work, silver nanowires of known dimension simulated and a uniaxial stress has been implemented using the Molecular dynamics approach. The stress-strain data generated by MD simulation, has been utilized to train, test and validate different machine learning models. These machine-learning models offer a reasonably good amount of predictability of the tensile characteristics of the silver nanowire at any temperature.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130795706","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 : 2023-03-06DOI: 10.1080/15502287.2023.2185555
Yogeshwar Jasra, R. Saxena
Abstract High strain rate deformation behavior studies in structures always hold importance in many areas of science and technology. The high strain rate deformation behavior is generally determined by the Taylor rod impact tests. During the impact process, the front portion of the Taylor rod undergoes a large deformation that results in the evolution of the voids leading to damage/fracture in the rod. A process of fracture phenomenon and mechanics of blunt-shaped projectile impacting a rigid target at high-velocity results in different fracture modes viz. mushrooming, petalling, shear cracks, tensile splitting, fragmentation, or mixed modes of failure. The deformation and evolution of these practically observed fracture modes are investigated due to the introduction of stochastically distributed inherent damage in the flat-faced Taylor rod. The process is simulated in the mild steel Taylor rod using continuum damage mechanics. The evolution of the damage and fracture growth has been presented. The process of deformation, the phenomenon of stress propagation, and the effect of stochastically distributed inherent damage on the fracture mode in the Taylor rod have been discussed. As the stresses initially evolve at the outer edge of the Taylor rod, the damage initially grows at the outer edge leading to the tensile splitting and petal formation. It is found that the introduction of stochastically distributed inherent damage and critical damage inside the Taylor rod changes the fracture modes. The results are found to be consistent with the literature.
{"title":"Numerical simulation of fracture in Taylor rod impact problem with stochastically distributed inherent damage","authors":"Yogeshwar Jasra, R. Saxena","doi":"10.1080/15502287.2023.2185555","DOIUrl":"https://doi.org/10.1080/15502287.2023.2185555","url":null,"abstract":"Abstract High strain rate deformation behavior studies in structures always hold importance in many areas of science and technology. The high strain rate deformation behavior is generally determined by the Taylor rod impact tests. During the impact process, the front portion of the Taylor rod undergoes a large deformation that results in the evolution of the voids leading to damage/fracture in the rod. A process of fracture phenomenon and mechanics of blunt-shaped projectile impacting a rigid target at high-velocity results in different fracture modes viz. mushrooming, petalling, shear cracks, tensile splitting, fragmentation, or mixed modes of failure. The deformation and evolution of these practically observed fracture modes are investigated due to the introduction of stochastically distributed inherent damage in the flat-faced Taylor rod. The process is simulated in the mild steel Taylor rod using continuum damage mechanics. The evolution of the damage and fracture growth has been presented. The process of deformation, the phenomenon of stress propagation, and the effect of stochastically distributed inherent damage on the fracture mode in the Taylor rod have been discussed. As the stresses initially evolve at the outer edge of the Taylor rod, the damage initially grows at the outer edge leading to the tensile splitting and petal formation. It is found that the introduction of stochastically distributed inherent damage and critical damage inside the Taylor rod changes the fracture modes. The results are found to be consistent with the literature.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130030534","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 : 2023-03-06DOI: 10.1080/15502287.2023.2185554
V. Meenakshi, Jamuna Bodduna, M. Mallesh, C. S. Balla
Abstract The present article examined the impact of Brownian motion and thermophoresis on entropy generation of bioconvective flow in a porous cavity filled with nanofluid and gyrotactic microorganisms. Darcy’s Boussinesq approximation is implemented to tackle the porosity term in the momentum expression. The governing partial differential equations (PDEs) are highly nonlinear and are nondimensionalized through the suitable similarity constraints. Finite difference method (FDM) is employed to solve the transformed PDEs. The reaction of entropy generation against various quantities like, Brownian movement (Nb), thermophoresis (Nt), Lewis number (Le) and Schmidt number (Sc) is explored and visualized. The entropies by heat transportation and mass transmission of microorganisms are also focused. An improvement in Lewis number, Schmidth number and Brownian motion corresponds a gradual decline in the local entropies by heat transportation, mass transfer of microorganism and local Bejan number. Thermophoretic force accelerates the distribution of local Bejan number.
{"title":"Impact of Brownian motion and thermophoresis on entropy generation in a cavity containing microorganisms","authors":"V. Meenakshi, Jamuna Bodduna, M. Mallesh, C. S. Balla","doi":"10.1080/15502287.2023.2185554","DOIUrl":"https://doi.org/10.1080/15502287.2023.2185554","url":null,"abstract":"Abstract The present article examined the impact of Brownian motion and thermophoresis on entropy generation of bioconvective flow in a porous cavity filled with nanofluid and gyrotactic microorganisms. Darcy’s Boussinesq approximation is implemented to tackle the porosity term in the momentum expression. The governing partial differential equations (PDEs) are highly nonlinear and are nondimensionalized through the suitable similarity constraints. Finite difference method (FDM) is employed to solve the transformed PDEs. The reaction of entropy generation against various quantities like, Brownian movement (Nb), thermophoresis (Nt), Lewis number (Le) and Schmidt number (Sc) is explored and visualized. The entropies by heat transportation and mass transmission of microorganisms are also focused. An improvement in Lewis number, Schmidth number and Brownian motion corresponds a gradual decline in the local entropies by heat transportation, mass transfer of microorganism and local Bejan number. Thermophoretic force accelerates the distribution of local Bejan number.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133440488","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 : 2023-03-04DOI: 10.1080/15502287.2022.2066032
V. Shankar, P. Ramegowda, D. Ishihara
Abstract Piezoelectric-structure interaction (PSI) and fluid-structure interaction (FSI) are multi-physics coupled systems. These interactions affect the vibration characteristics of coupled systems and thus such complex coupled systems must be controlled. This paper proposes computational control based on the finite element method for strongly coupled multi-physics analysis of the PSI of a thin flexible piezoelectric bimorph actuator. The vibration characteristics and the effect of direct velocity and displacement feedback (DVDFB) control in coupled systems are investigated. The displacement and velocity feedback gains are used together as well as separately. DVDFB control is extended to the FSI of stiff and soft structures to study vibration characteristics using active control and compare the stability of the two types of structure. The results of PSI show a reduction in actuator displacement amplitude and a shift in the resonance frequency due to DVDFB control. For FSI, the results for a stiff material show a reduction in displacement. The velocity feedback gain has no effect for a stiff material and leads to instability due to a large control force. The results for a soft material show a reduction in displacement and amplitude and more stability compared to the case for the stiff material.
{"title":"Computational control for strongly coupled structure, electric, and fluid systems","authors":"V. Shankar, P. Ramegowda, D. Ishihara","doi":"10.1080/15502287.2022.2066032","DOIUrl":"https://doi.org/10.1080/15502287.2022.2066032","url":null,"abstract":"Abstract Piezoelectric-structure interaction (PSI) and fluid-structure interaction (FSI) are multi-physics coupled systems. These interactions affect the vibration characteristics of coupled systems and thus such complex coupled systems must be controlled. This paper proposes computational control based on the finite element method for strongly coupled multi-physics analysis of the PSI of a thin flexible piezoelectric bimorph actuator. The vibration characteristics and the effect of direct velocity and displacement feedback (DVDFB) control in coupled systems are investigated. The displacement and velocity feedback gains are used together as well as separately. DVDFB control is extended to the FSI of stiff and soft structures to study vibration characteristics using active control and compare the stability of the two types of structure. The results of PSI show a reduction in actuator displacement amplitude and a shift in the resonance frequency due to DVDFB control. For FSI, the results for a stiff material show a reduction in displacement. The velocity feedback gain has no effect for a stiff material and leads to instability due to a large control force. The results for a soft material show a reduction in displacement and amplitude and more stability compared to the case for the stiff material.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114062676","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 : 2022-12-13DOI: 10.1080/15502287.2022.2150720
D. Grover
Abstract A comprehensive micro-electro mechanical systems (MEMS) model for analysis of a smart composite piezothermoelastic thin plate with voids, in context of Lord-Shulman theory of thermoelasticity has been developed. The work culminates in the derivation of the closed form analytic expressions for thermoelastic damping, frequency shift, electric potential change, volume fraction change, and displacements. Some numerical illustrations and graphical interpretations of analytical developments in case of PZT-5A material piezothermoelastic plate under clamped-simply supported (CS) and simply supported-simply supported (SS) boundary conditions have been presented with the help of MATLAB programming software.
{"title":"Analysis of thermoelastic damping and modeling of piezothermoelastic plate resonators with voids","authors":"D. Grover","doi":"10.1080/15502287.2022.2150720","DOIUrl":"https://doi.org/10.1080/15502287.2022.2150720","url":null,"abstract":"Abstract A comprehensive micro-electro mechanical systems (MEMS) model for analysis of a smart composite piezothermoelastic thin plate with voids, in context of Lord-Shulman theory of thermoelasticity has been developed. The work culminates in the derivation of the closed form analytic expressions for thermoelastic damping, frequency shift, electric potential change, volume fraction change, and displacements. Some numerical illustrations and graphical interpretations of analytical developments in case of PZT-5A material piezothermoelastic plate under clamped-simply supported (CS) and simply supported-simply supported (SS) boundary conditions have been presented with the help of MATLAB programming software.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115594827","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 : 2022-12-01DOI: 10.1080/15502287.2022.2150721
V. Zeighami, M. Jafari, M. Jafari
Abstract Conventional ordinary materials have many weaknesses when exposed to extreme loadings. Hence, scientists develop novel engineered materials to address these weaknesses. Functionally Graded Carbon Nanotube Reinforced Composites (FG-CNTRCs) are a modern group of materials that have recently flourished thanks to their excellent and unique mechanical properties. One common loading condition is subjecting FG-CNTRC plates containing cutouts to in-plane loadings. The presence of an opening disturbs the stress field, especially in the proximity of the cutout, and creates stress concentration. This study estimates the stress and moment resultants on the edge of elliptical cutouts in asymmetric FG-CNTRC plates under various loading conditions using a new analysis based on Lekhnitskii’s complex variables method, mapping function, and Laurent series. Unlike previous studies on perforated asymmetric plates, which were based on numerical methods or the Schwartz formulations, this study presents a new solution using Laurent’s series to represent the holomorphic function. In calculating the stress and moment components around the opening, the effect of determining variables is studied. This approach can be generalized to solve different anisotropic body problems (FG_CNTRC, FGM, Laminate composites). Thus, stress and moment components in perforated anisotropic plates can be determined simply and systematically using this method.
{"title":"Using Laurent’s series in the theoretical solution to estimate the stress resultants of FG-CNTRC plates weakened by a central cutout at different temperatures","authors":"V. Zeighami, M. Jafari, M. Jafari","doi":"10.1080/15502287.2022.2150721","DOIUrl":"https://doi.org/10.1080/15502287.2022.2150721","url":null,"abstract":"Abstract Conventional ordinary materials have many weaknesses when exposed to extreme loadings. Hence, scientists develop novel engineered materials to address these weaknesses. Functionally Graded Carbon Nanotube Reinforced Composites (FG-CNTRCs) are a modern group of materials that have recently flourished thanks to their excellent and unique mechanical properties. One common loading condition is subjecting FG-CNTRC plates containing cutouts to in-plane loadings. The presence of an opening disturbs the stress field, especially in the proximity of the cutout, and creates stress concentration. This study estimates the stress and moment resultants on the edge of elliptical cutouts in asymmetric FG-CNTRC plates under various loading conditions using a new analysis based on Lekhnitskii’s complex variables method, mapping function, and Laurent series. Unlike previous studies on perforated asymmetric plates, which were based on numerical methods or the Schwartz formulations, this study presents a new solution using Laurent’s series to represent the holomorphic function. In calculating the stress and moment components around the opening, the effect of determining variables is studied. This approach can be generalized to solve different anisotropic body problems (FG_CNTRC, FGM, Laminate composites). Thus, stress and moment components in perforated anisotropic plates can be determined simply and systematically using this method.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133913501","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 : 2022-09-13DOI: 10.1080/15502287.2022.2120441
B. Bhaumik, Shivam Chaturvedi, Satyasaran Changdar, S. De
Abstract The viscosity of nanofluids can be influenced by many physical factors so it is difficult to obtain an accurate prediction model using only traditional theoretical model-driven methods or data-driven black-box models. This study proposes a modern approach named Physics Guided Deep Neural Network (PGDNN) for viscosity prediction that combines the data-driven models and physics-based theoretical models to achieve their complementary strengths and develop the modeling of physical processes. This PGDNN model is applied with a large number of data points (9000 data points) containing both experimental and simulated data of spherical nanoparticles Al2O3, CuO, SiO2, and TiO2. Further, this technique overcomes the overfitting issue and performs better than other traditional models while predicting unseen data. As far as we know, the PGDNN model is novel and not even used earlier to predict the viscosity of nanofluids. The learning performance of the proposed model is analyzed using different statistical performance indicators and Bayesian optimization is used for hyper-parameter tuning. Then, epistemic uncertainty quantification is performed to estimate the confidence level of the proposed model. Our PGDNN model outperformed various previous theoretical and computer-aided models with and RMSE = 0.0312. Moreover, a sensitivity analysis is performed and the results show that the volume fraction of particle is the most and viscosity of a base fluid is the second most significant parameters to determine the viscosity of nanofluids.
{"title":"A unique physics-aided deep learning model for predicting viscosity of nanofluids","authors":"B. Bhaumik, Shivam Chaturvedi, Satyasaran Changdar, S. De","doi":"10.1080/15502287.2022.2120441","DOIUrl":"https://doi.org/10.1080/15502287.2022.2120441","url":null,"abstract":"Abstract The viscosity of nanofluids can be influenced by many physical factors so it is difficult to obtain an accurate prediction model using only traditional theoretical model-driven methods or data-driven black-box models. This study proposes a modern approach named Physics Guided Deep Neural Network (PGDNN) for viscosity prediction that combines the data-driven models and physics-based theoretical models to achieve their complementary strengths and develop the modeling of physical processes. This PGDNN model is applied with a large number of data points (9000 data points) containing both experimental and simulated data of spherical nanoparticles Al2O3, CuO, SiO2, and TiO2. Further, this technique overcomes the overfitting issue and performs better than other traditional models while predicting unseen data. As far as we know, the PGDNN model is novel and not even used earlier to predict the viscosity of nanofluids. The learning performance of the proposed model is analyzed using different statistical performance indicators and Bayesian optimization is used for hyper-parameter tuning. Then, epistemic uncertainty quantification is performed to estimate the confidence level of the proposed model. Our PGDNN model outperformed various previous theoretical and computer-aided models with and RMSE = 0.0312. Moreover, a sensitivity analysis is performed and the results show that the volume fraction of particle is the most and viscosity of a base fluid is the second most significant parameters to determine the viscosity of nanofluids.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130278611","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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