The main goal of the present study is to invetigate Bödewadt flow and thermal analysis of radiative ternary hybrid nanofluid over rotating disk subject to second order slip. The ternary hybrid nanofluid contains nanoparticle-1 as Al2O3(spherical), nanoparticle-2 as CNT (cylindrical), nanoparticle-3 as graphene (platelet) and base fluid as water. Casson model is adopted to show the non-Newtonian behavior of the flow of Al2O3+CNT+Graphene+Water ternary hybrid nanofluid. The transformed non-dimensional equations are solved numerically by using bvp4c package on MATLAB. The major outcomes of the work include amplified non-Newtonian parameter upgrades the radial, azimuthal and axial velocities of mono nanofluid, binary hybrid nanofluid and ternary hybrid nanofluids. Thermal boundary layer is thickest for non-Newtonian ternary hybrid nanofluid compared to mono nanofluid and binary hybrid nanofluid.
{"title":"Bödewadt Slip Flow of Casson Ternary Hybrid Nanofluid due to Stretching Rotating Disk","authors":"N. Patnaik, S. Shaw, D. Thatoi, M. K. Nayak","doi":"10.1166/jon.2023.2012","DOIUrl":"https://doi.org/10.1166/jon.2023.2012","url":null,"abstract":"The main goal of the present study is to invetigate Bödewadt flow and thermal analysis of radiative ternary hybrid nanofluid over rotating disk subject to second order slip. The ternary hybrid nanofluid contains nanoparticle-1 as Al2O3(spherical), nanoparticle-2\u0000 as CNT (cylindrical), nanoparticle-3 as graphene (platelet) and base fluid as water. Casson model is adopted to show the non-Newtonian behavior of the flow of Al2O3+CNT+Graphene+Water ternary hybrid nanofluid. The transformed non-dimensional equations are solved numerically\u0000 by using bvp4c package on MATLAB. The major outcomes of the work include amplified non-Newtonian parameter upgrades the radial, azimuthal and axial velocities of mono nanofluid, binary hybrid nanofluid and ternary hybrid nanofluids. Thermal boundary layer is thickest for non-Newtonian ternary\u0000 hybrid nanofluid compared to mono nanofluid and binary hybrid nanofluid.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47469587","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}
This study investigates the combined effects of magnetic field, Joule heating, viscous dissipation, thermophoresis, and Brownian motion towards a convectively heated shrinking and slippery surface on a stagnation point flow of nanofluid is theoretically examined. The modified Buongiorno model for nanofluid flow is employed and numerically solved using a shooting technique together with the Runge-Kutta-Fehlberg integration scheme. It is found that dual solutions appear in certain range of shrinking surface parameter. The temporal stability analysis of the dual solutions to small disturbances was performed and the upper solution branch is found to be a stable and physically realistic solution to the problem. Appropriate results showing the influence of magnetic field, Surface slipperiness, Eckert number, Biot number, Brownian motion, and thermophoresis parameters on the nanofluid temperature, velocity, nanoparticles concentration, Nusselt number, skin friction, and Sherwood number are quantitatively discussed, and depicted graphically and in tables.
{"title":"Dual Solutions and Stability Analysis for Buongiorno Model of Magnetohydrodynamics Nanofluid Flow Past a Heated Shrinking Slippery Surface","authors":"Khodani Sherrif Tshivhi, O. Makinde","doi":"10.1166/jon.2023.2032","DOIUrl":"https://doi.org/10.1166/jon.2023.2032","url":null,"abstract":"This study investigates the combined effects of magnetic field, Joule heating, viscous dissipation, thermophoresis, and Brownian motion towards a convectively heated shrinking and slippery surface on a stagnation point flow of nanofluid is theoretically examined. The modified Buongiorno\u0000 model for nanofluid flow is employed and numerically solved using a shooting technique together with the Runge-Kutta-Fehlberg integration scheme. It is found that dual solutions appear in certain range of shrinking surface parameter. The temporal stability analysis of the dual solutions to\u0000 small disturbances was performed and the upper solution branch is found to be a stable and physically realistic solution to the problem. Appropriate results showing the influence of magnetic field, Surface slipperiness, Eckert number, Biot number, Brownian motion, and thermophoresis parameters\u0000 on the nanofluid temperature, velocity, nanoparticles concentration, Nusselt number, skin friction, and Sherwood number are quantitatively discussed, and depicted graphically and in tables.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43435697","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}
M. Moderres, A. Boutra, S. Kherroubi, H. Oztop, Y. K. Benkahla
The natural convection of TiO2-Water-Nanofluid in a cubic cavity, containing a hot block under the influence of the magnetic field was studied numerically. The verticals walls are cold, the bottom wall is hot and the other walls (top, front and rear) are adiabatic. This work aims to visualize the importance of taking into account the three-dimensionality of the flow in the presence of magnetic field as well as the impact of the addition of nanoparticles on heat exchange rate evolution. The governing equations are solved using the finite volume method and the SIMPLER algorithm is used for pressure-velocity coupling. The problem was simulated at different Rayleigh numbers (103 ≤ Ra ≤ 106), Hartmann numbers (0 ≤ Ha ≤ 90) and inclination angles of the magnetic field (0 ≤ ω ≤ 135°) as well as nanoparticles volume fraction (φ = 0%, φ = 5%) with fixed Prandtl number (Pr = 7). The thermal conductivity and dynamic viscosity of the nanofluid are estimated by taking into account temperature-dependent properties, using Corcione’s correlations. Based on the cooling optimization of cold walls along with comparative analysis between 3D cavity and 2D cavity, the obtained results show that the buoyancy force enhances the heat exchange, while the magnetic field produces opposite effects. When the buoyancy force is dominated, the intensification of heat transfer becomes large, compared to the case where conduction is dominant. The qualitative difference between a 3D and 2D configuration is remarkable for higher Ra, and becomes smaller when the magnetic field is applied horizontally or vertically with relatively high intensity. But, quantitatively, the 3D flow is far from being considered as a 2D flow for all pertinent parameters control. Finally, adding nanoparticles enhances heat transfer for both configurations, the best transfer rate is obtained for ω = 0.
{"title":"Magnetohydrodynamic (MHD) Natural Convection Flow of Titanium Dioxide Nanofluid Inside 3D Cavity Containing a Hot Block: Comparative with 2D Cavity","authors":"M. Moderres, A. Boutra, S. Kherroubi, H. Oztop, Y. K. Benkahla","doi":"10.1166/jon.2023.2016","DOIUrl":"https://doi.org/10.1166/jon.2023.2016","url":null,"abstract":"The natural convection of TiO2-Water-Nanofluid in a cubic cavity, containing a hot block under the influence of the magnetic field was studied numerically. The verticals walls are cold, the bottom wall is hot and the other walls (top, front and rear) are adiabatic. This work\u0000 aims to visualize the importance of taking into account the three-dimensionality of the flow in the presence of magnetic field as well as the impact of the addition of nanoparticles on heat exchange rate evolution. The governing equations are solved using the finite volume method and the SIMPLER\u0000 algorithm is used for pressure-velocity coupling. The problem was simulated at different Rayleigh numbers (103 ≤ Ra ≤ 106), Hartmann numbers (0 ≤ Ha ≤ 90) and inclination angles of the magnetic field (0 ≤ ω ≤ 135°) as well\u0000 as nanoparticles volume fraction (φ = 0%, φ = 5%) with fixed Prandtl number (Pr = 7). The thermal conductivity and dynamic viscosity of the nanofluid are estimated by taking into account temperature-dependent properties, using Corcione’s correlations. Based\u0000 on the cooling optimization of cold walls along with comparative analysis between 3D cavity and 2D cavity, the obtained results show that the buoyancy force enhances the heat exchange, while the magnetic field produces opposite effects. When the buoyancy force is dominated, the intensification\u0000 of heat transfer becomes large, compared to the case where conduction is dominant. The qualitative difference between a 3D and 2D configuration is remarkable for higher Ra, and becomes smaller when the magnetic field is applied horizontally or vertically with relatively high intensity. But,\u0000 quantitatively, the 3D flow is far from being considered as a 2D flow for all pertinent parameters control. Finally, adding nanoparticles enhances heat transfer for both configurations, the best transfer rate is obtained for ω = 0.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49511818","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}
The authors are interested in understanding how a magnetic field and cross diffusion influence non-Newtonian Maxwell-Nanofluid boundary layer flow towards a nonlinearly stretched sheet when there are also Thermophoresis and Brownian motion reaction present in the system. Specifically, the purpose of this research is to learn more about the Maxwell and nanofluid properties of a stretched sheet in a normal magnetic field, as well as the reactions of three distinct slip situations (velocity, thermal, and solutal). Partially differential equations with nonlinear coefficients are used to obtain the governing conditions. These conditions are changed into profitable non-direct common differential conditions by utilizing the suitable change factors and change coefficients. To explore the mathematical results of the diminished arrangement of non-direct customary differential conditions, it was created and utilized the Keller box technique, which was produced for mathematical results. The reproduction considers the nanofluid speed, temperature, focus, skin grating coefficients, heat move rate, and mass exchange rate, among different factors. The validity of this strategy is shown through a correlation of the current outcomes with past discoveries in the writing. From this exploration work, the speed profiles are expanding with expanding upsides of Maxwell liquid boundary and diminishes with expanding upsides of Magnetic field and speed slip boundaries. With expanding impacts of Thermophoresis and Brownian movement, the temperature profiles are increment. As the upsides of Dufour number builds, the temperature profiles are additionally increments. A development of the Thermophoresis boundary prompts expanded nano particle volume focus circulation and the opposite impact is seen in the event of Brownian movement impact. The focus profiles are expanding with rising upsides of Soret number boundary.
{"title":"Multiple Slip Effects of Boundary Layer Maxwell-Nanofluid Flow Past a Stretching Sheet: Magnetic Field and Cross Diffusion Effects","authors":"K. Hassan, R. Vijayakumar, G. Srinivas","doi":"10.1166/jon.2023.2033","DOIUrl":"https://doi.org/10.1166/jon.2023.2033","url":null,"abstract":"The authors are interested in understanding how a magnetic field and cross diffusion influence non-Newtonian Maxwell-Nanofluid boundary layer flow towards a nonlinearly stretched sheet when there are also Thermophoresis and Brownian motion reaction present in the system. Specifically,\u0000 the purpose of this research is to learn more about the Maxwell and nanofluid properties of a stretched sheet in a normal magnetic field, as well as the reactions of three distinct slip situations (velocity, thermal, and solutal). Partially differential equations with nonlinear coefficients\u0000 are used to obtain the governing conditions. These conditions are changed into profitable non-direct common differential conditions by utilizing the suitable change factors and change coefficients. To explore the mathematical results of the diminished arrangement of non-direct customary differential\u0000 conditions, it was created and utilized the Keller box technique, which was produced for mathematical results. The reproduction considers the nanofluid speed, temperature, focus, skin grating coefficients, heat move rate, and mass exchange rate, among different factors. The validity of this\u0000 strategy is shown through a correlation of the current outcomes with past discoveries in the writing. From this exploration work, the speed profiles are expanding with expanding upsides of Maxwell liquid boundary and diminishes with expanding upsides of Magnetic field and speed slip boundaries.\u0000 With expanding impacts of Thermophoresis and Brownian movement, the temperature profiles are increment. As the upsides of Dufour number builds, the temperature profiles are additionally increments. A development of the Thermophoresis boundary prompts expanded nano particle volume focus circulation\u0000 and the opposite impact is seen in the event of Brownian movement impact. The focus profiles are expanding with rising upsides of Soret number boundary.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43574321","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}
The dynamics of Casson nanofluid with chemically reactive and thermally conductive medium past an elongated sheet were investigated in this study. The thermal loading of the fluids is considered while experimenting the Cattaneo-Christov theories with MHD boundary layer flow. The Rosseland approximation is used on the radiative heat flux because the fluids are optically thin. Partial differential equations were used in the flow model (PDEs). These PDEs were converted to ordinary differential equations (ODEs). The Runge-kutta method and firing techniques were used to solve the altered equations numerically. Graphs were used to depict the effect of relevant flow parameters, while computations on engineering values of relevance were tabulated. The velocity profile was found to degenerate when the visco-inelastic parameter (Casson) was set to a higher value. The boundary layer distributions degenerate when the unsteadiness parameter (A) is increased. The findings revealed that, the plastic dynamic viscosity of the Casson fluid causes reduction to the velocity profile. This paper is unique because it examined the simultaneous thermal loading of two non-Newtonian fluids (Casson-Williamson) nanofluids with experimentation of Cattaneo-Christov theories. To the very best of our knowledge, no study has explored study of this type in literature.
{"title":"Soret-Dufour Mechanisms on the Thermal Loading of Catteneo-Christov Theories on Magnetohydrodynamic (MHD) Casson Nanofluid Dynamics Over a Stretching Sheet","authors":"T. Gladys, G. V. R. Reddy","doi":"10.1166/jon.2023.1937","DOIUrl":"https://doi.org/10.1166/jon.2023.1937","url":null,"abstract":"The dynamics of Casson nanofluid with chemically reactive and thermally conductive medium past an elongated sheet were investigated in this study. The thermal loading of the fluids is considered while experimenting the Cattaneo-Christov theories with MHD boundary layer flow. The Rosseland\u0000 approximation is used on the radiative heat flux because the fluids are optically thin. Partial differential equations were used in the flow model (PDEs). These PDEs were converted to ordinary differential equations (ODEs). The Runge-kutta method and firing techniques were used to solve the\u0000 altered equations numerically. Graphs were used to depict the effect of relevant flow parameters, while computations on engineering values of relevance were tabulated. The velocity profile was found to degenerate when the visco-inelastic parameter (Casson) was set to a higher value. The boundary\u0000 layer distributions degenerate when the unsteadiness parameter (A) is increased. The findings revealed that, the plastic dynamic viscosity of the Casson fluid causes reduction to the velocity profile. This paper is unique because it examined the simultaneous thermal loading of two non-Newtonian\u0000 fluids (Casson-Williamson) nanofluids with experimentation of Cattaneo-Christov theories. To the very best of our knowledge, no study has explored study of this type in literature.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46299993","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}
In this paper the effects of laser irradiation on MHD Non-Newtonian hybird nanofluid flow and bioheat transfer have been proposed. If the tissue is vertical and there is a sudden change in environmental temperature, free convection will flow and bioheat transfer must be solved in conjunction with hydrodynamics equations of nanofluid (blood) motion. The bioheat transfer within the tissue can be formulated in mathematical model as an initial and boundary value problem. The non-linear system of partial differential equations is solved analytically by applying Laplace transform with the help of finite Fourier sine transform. The energy equation assumes that the tissue temperature and blood phase are identical. The blood velocity profile is decreasing in parallel with the rise of fluid parameters. This implies that the medication conveyance therapy lessens the tumor volume and helps in annihilating malignancy cells by applying small parameters such as Casson parameter. The bioheat tissue temperature distribution increases as the both magnetite nanoparticles and multi-walled carbon nanotubes increase. Therefore, we enhance the physical properties of the blood by immersing the magnetite nanoparticles through it. The hybrid volume of nanoparticles will be more effective in enhancing blood velocity and tissue temperature by laser nanoparticle method.
{"title":"Laser Effects on Bioheat Transfer with Non-Newtonian Hybird Nanofluid Flow: Analytical Method with Finite Sine and Laplace Transforms","authors":"Asmaa F. Elelamy","doi":"10.1166/jon.2023.2011","DOIUrl":"https://doi.org/10.1166/jon.2023.2011","url":null,"abstract":"In this paper the effects of laser irradiation on MHD Non-Newtonian hybird nanofluid flow and bioheat transfer have been proposed. If the tissue is vertical and there is a sudden change in environmental temperature, free convection will flow and bioheat transfer must be solved in conjunction\u0000 with hydrodynamics equations of nanofluid (blood) motion. The bioheat transfer within the tissue can be formulated in mathematical model as an initial and boundary value problem. The non-linear system of partial differential equations is solved analytically by applying Laplace transform with\u0000 the help of finite Fourier sine transform. The energy equation assumes that the tissue temperature and blood phase are identical. The blood velocity profile is decreasing in parallel with the rise of fluid parameters. This implies that the medication conveyance therapy lessens the tumor volume\u0000 and helps in annihilating malignancy cells by applying small parameters such as Casson parameter. The bioheat tissue temperature distribution increases as the both magnetite nanoparticles and multi-walled carbon nanotubes increase. Therefore, we enhance the physical properties of the blood\u0000 by immersing the magnetite nanoparticles through it. The hybrid volume of nanoparticles will be more effective in enhancing blood velocity and tissue temperature by laser nanoparticle method.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46444072","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}
Stability of Rivlin-Ericksen category of nanofluid saturated in a continuous medium bounded by infinite horizontal plates has been studied. Energy equation has been supplemented with the variables belonging to the Brownian motion and thermophoresis of nanoparticles. For the linear and the non-linear stability analyses, other than the specific boundary conditions appraised with the physical situation, the boundary conditions for the flux of nanoparticle mass, in analogy with the passive behaviour of temperature at the boundaries have been explored. The novelty of the paper is that the stationary convection exists for both positive as well as negative Rn (concentration Rayleigh number) and the convection sets in earlier in comparison to a porous medium. It is also shown that the non-existence of the oscillatory convection in a Newtonian nanofluid has been ruled out for Rivlin-Ericksen nanofluid, though it exists only for negative Rn, the situation when the density of the fluid is greater than the density of nanoparticle. The viscoelastic parameter of Rivlin-Ericksen nanofluid annihilates the instability of oscillatory convection. Under non-linear stability analysis, the truncated representation of Fourier series approach has been used and the parameters belonging to the heat and mass transfer have been evaluated. It is shown that corresponding to certain parameters, the rate of heat and mass transfer rises rapidly. The valuable results are shown graphically and verified numerically.
{"title":"Thermal Convection of Rivlin-Ericksen Fluid Governed by the Brownian Motion and Thermophoresis of Nanoparticles with Passive Behaviour of Nanoparticles at the Parallel Boundaries","authors":"J. Bishnoi, Shubham Kumar, Reshu Tyagi","doi":"10.1166/jon.2023.2010","DOIUrl":"https://doi.org/10.1166/jon.2023.2010","url":null,"abstract":"Stability of Rivlin-Ericksen category of nanofluid saturated in a continuous medium bounded by infinite horizontal plates has been studied. Energy equation has been supplemented with the variables belonging to the Brownian motion and thermophoresis of nanoparticles. For the linear and\u0000 the non-linear stability analyses, other than the specific boundary conditions appraised with the physical situation, the boundary conditions for the flux of nanoparticle mass, in analogy with the passive behaviour of temperature at the boundaries have been explored. The novelty of the paper\u0000 is that the stationary convection exists for both positive as well as negative Rn (concentration Rayleigh number) and the convection sets in earlier in comparison to a porous medium. It is also shown that the non-existence of the oscillatory convection in a Newtonian nanofluid has been\u0000 ruled out for Rivlin-Ericksen nanofluid, though it exists only for negative Rn, the situation when the density of the fluid is greater than the density of nanoparticle. The viscoelastic parameter of Rivlin-Ericksen nanofluid annihilates the instability of oscillatory convection. Under\u0000 non-linear stability analysis, the truncated representation of Fourier series approach has been used and the parameters belonging to the heat and mass transfer have been evaluated. It is shown that corresponding to certain parameters, the rate of heat and mass transfer rises rapidly. The valuable\u0000 results are shown graphically and verified numerically.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41540411","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}
The impact of rotation and the boundaries on the initiation of convective instability in a rheological nanofluid layer heated beneath saturated by a porous media with the inclusion of an AC electric field (vertical) is studied employing linear stability analysis. The stationary convective stability of rheological nanofluid is customarily established utilizing Buongiorno model for nanoparticles and Jeffrey model for rheological behavior of regular fluid. The Buongiorno model deployed for nanofluids incorporates the influence of thermophoresis and Brownian motion. Using the normal mode technique, the set of coupled differential equations is solved analytically for both stress-free boudaries and numerically by using the Galerkin-type Weighted Residual Method (GWRM) for top-free, bottom-rigid and rigid–rigid bounding surfaces. The numerical computed values of stationary thermal Rayleigh number are presented graphically for three distinct combinations of boundary conditions. The Taylor number accounting for rotation parameter, Jeffrey parameter, and nanofluid Lewis number delay the start of stationary convection, whereas electric field and concentration Rayleigh number destabilize a system for three groups of boundaries. The bottom-/top-heavy nanofluids are found to be more/less stable. Rigid–rigid boundaries augment the stability in a more pronounced manner than that of the stress-free and rigid-free boundaries. The conditions for non-occurrence of over stability are also derived. This study is of great significance in many metallurgical processes including megma flow, deep convective chimneys, polymer solutions, microfluidic devices and blood flow in micro circulatory systems. An excellent coincidence is found admist present paper and the earlier published work.
{"title":"Electroconvection in Rotating Jeffrey Nanofluid Saturating Porous Medium: Free–Free, Rigid-Free, Rigid–Rigid Boundaries","authors":"J. Devi, Veena Sharma, Mohini Kapalta","doi":"10.1166/jon.2023.2039","DOIUrl":"https://doi.org/10.1166/jon.2023.2039","url":null,"abstract":"The impact of rotation and the boundaries on the initiation of convective instability in a rheological nanofluid layer heated beneath saturated by a porous media with the inclusion of an AC electric field (vertical) is studied employing linear stability analysis. The stationary convective\u0000 stability of rheological nanofluid is customarily established utilizing Buongiorno model for nanoparticles and Jeffrey model for rheological behavior of regular fluid. The Buongiorno model deployed for nanofluids incorporates the influence of thermophoresis and Brownian motion. Using the normal\u0000 mode technique, the set of coupled differential equations is solved analytically for both stress-free boudaries and numerically by using the Galerkin-type Weighted Residual Method (GWRM) for top-free, bottom-rigid and rigid–rigid bounding surfaces. The numerical computed values of stationary\u0000 thermal Rayleigh number are presented graphically for three distinct combinations of boundary conditions. The Taylor number accounting for rotation parameter, Jeffrey parameter, and nanofluid Lewis number delay the start of stationary convection, whereas electric field and concentration Rayleigh\u0000 number destabilize a system for three groups of boundaries. The bottom-/top-heavy nanofluids are found to be more/less stable. Rigid–rigid boundaries augment the stability in a more pronounced manner than that of the stress-free and rigid-free boundaries. The conditions for non-occurrence\u0000 of over stability are also derived. This study is of great significance in many metallurgical processes including megma flow, deep convective chimneys, polymer solutions, microfluidic devices and blood flow in micro circulatory systems. An excellent coincidence is found admist present paper\u0000 and the earlier published work.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41583223","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}
Heat transfer and entropy generation of laminar flow of a ferrofluid in different cross-section channel subjected to partial and full magnetic field are investigated in this study. A constant heat flux condition was applied on the external surface. The conservation equations (mass, momentum, and energy) are solved numerically via the finite volume method with a second-order precision. The effects of fully or partially applying a magnetic field with different directions and intensities on thermodynamic features, heat transfer, and entropy generation have been investigated. Analyses were carried out in four different cross-section channels, namely triangular, rectangular, circular, and elliptical. Results indicate that the circular cross-section channel provides higher heat transfer rates and lower entropy generation than non-circular cross-section channels.
{"title":"Entropy Generation-Based Analysis of Laminar Magneto-Convection in Different Cross-Section Channel Filled with Ferrofluid and Subjected to Partial and Full Magnetic Fields","authors":"Kamel Zitouni, L. Aidaoui, Y. Lasbet, T. Tayebi","doi":"10.1166/jon.2023.2013","DOIUrl":"https://doi.org/10.1166/jon.2023.2013","url":null,"abstract":"Heat transfer and entropy generation of laminar flow of a ferrofluid in different cross-section channel subjected to partial and full magnetic field are investigated in this study. A constant heat flux condition was applied on the external surface. The conservation equations (mass,\u0000 momentum, and energy) are solved numerically via the finite volume method with a second-order precision. The effects of fully or partially applying a magnetic field with different directions and intensities on thermodynamic features, heat transfer, and entropy generation have been investigated.\u0000 Analyses were carried out in four different cross-section channels, namely triangular, rectangular, circular, and elliptical. Results indicate that the circular cross-section channel provides higher heat transfer rates and lower entropy generation than non-circular cross-section channels.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46991232","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}
The main goal of this work is to explore exact analytical solutions for the transient hybrid nanofluid flow with heat transfer owing to a moving/exponentially accelerating infinite flat vertical plate with heat flux boundary conditions. Further, the uniqueness of this work is to investigate the impact of different types of hybrid nanofluids on heat transfer and unsteady flow features in the existence of thermal radiation and heat flux boundary conditions. For engineering variables like Nusselt number and skin friction coefficient, along with temperature and velocity profiles, graphs are used to reveal the results of the Laplace transform method. Increased heat transfer and friction values have been found for an exponentially accelerating plate. The findings can be utilized in heat exchangers as well as in electronics and chemical and biological reactors.
{"title":"Impact of Moving/Exponentially Accelerated Vertical Plate on Unsteady Flow and Heat Transfer in Hybrid Nanofluids","authors":"V. Rajesh, H. Öztop, N. Abu‐Hamdeh","doi":"10.1166/jon.2023.2023","DOIUrl":"https://doi.org/10.1166/jon.2023.2023","url":null,"abstract":"The main goal of this work is to explore exact analytical solutions for the transient hybrid nanofluid flow with heat transfer owing to a moving/exponentially accelerating infinite flat vertical plate with heat flux boundary conditions. Further, the uniqueness of this work is to investigate\u0000 the impact of different types of hybrid nanofluids on heat transfer and unsteady flow features in the existence of thermal radiation and heat flux boundary conditions. For engineering variables like Nusselt number and skin friction coefficient, along with temperature and velocity profiles,\u0000 graphs are used to reveal the results of the Laplace transform method. Increased heat transfer and friction values have been found for an exponentially accelerating plate. The findings can be utilized in heat exchangers as well as in electronics and chemical and biological reactors.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":" ","pages":""},"PeriodicalIF":4.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48652488","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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