Nanoparticle Shape Factor Research Articles

Investigation of magnetite water nanofluid flow through a stretching sheet using the Hamilton and Crosser model for nanoparticle shape factor and effective thermal conductivity

The main objective of this current investigation is to study the heat and mass transfer of the convective MHD Fe3O4−H2O nanofluid through an expanding sheet in the presence of thermal radiation. The Hamilton and Crosser model describes the shape and effective thermal conductivity. The fluid flow governing PDEs has been transformed into a system of ODEs by utilizing appropriate similarity transformation. We used SQLM or Spectral Quasilinearization method to solve them numerically and draw the graphical conclusion using MATLAB software. The skin friction, the Nusselt number and the Sherwood number have been determined numerically and portrayed graphically for the pertinent parameter. It has been observed that for the increment of the volume fraction of Fe3O4 nanoparticles, the fluid velocity tends to reduce while the thermal profile is enhanced. We also observed that for the increment of the buoyancy parameter, the mass transfer is enhanced. Additionally, for the enhancement of the Schmidt number from 0.1 to 1.2, the rate of mass transfer coefficient increases very rapidly. The outcome of the current study has been compared with previously published data, and there is a satisfactory agreement.

Shape factor and thermal radiation effects on convective MHD flow of Casson blood ternary hybrid nano‐fluid through a stretched rotating rigid disk

AbstractThe mathematical modeling of blood flow with the incorporation of ternary hybrid nanoparticles (i.e., titania, silica, and alumina nanoparticles) is the focus of this work. The flow of blood is simulated using the Casson fluid model. The impacts of ternary hybrid nanoparticles, shape factor, and Geometry of solid nanoparticles are visualized and investigated. The momentum and thermal characteristics of a flowing liquid are determined by considering magnetization, porosity, and nonlinearized radiating thermal flux. The basic partial differential equations resulting from mathematical modeling are turned into non‐linear ordinary differential equations using suitable velocity transforms. The derived nonlinear equations are then numerically calculated using the 4th‐5th order Runge‐Kutta‐Fehlberg method with the shooting technique and analytically solved by the Adomian decomposition method (ADM). The effects of the factors involved on the dimensionless profiles produced are fully addressed. It is found that the Skin friction factor and heat transfer rate in the radial direction upsurge with the augment of both rotation parameter and nanoparticles volume fraction; however, the Skin friction factor drops in the azimuthal direction. Also, results obtained reveal an enhancement in the local Nusselt number with the upsurge in the magnitude of radiation parameter, Rd, solid nanoparticles concentration, , shape factor value, s, and disk temperature, . For validation, the outcomes of this inquiry were compared to the outcomes of the HAM‐based Mathematica software. In addition, the acquired analytical DRA data are compared to numerical RKF45 values and those given in the literature.

Thermal radiation, Soret and Dufour effects on MHD mixed convective Maxwell hybrid nanofluid flow under porous medium: a numerical study

PurposeScientists have been conducting trials to find ways to reduce fuel consumption and enhance heat transfer rates to make heating systems more efficient and cheaper. Adding solid nanoparticles to conventional liquids may greatly improve their thermal conductivity, according to the available evidence. This study aims to examine the influence of external magnetic flux on the flow of a mixed convective Maxwell hybrid non-Newtonian nanofluid over a linearly extending porous flat plate. The investigation considers the effects of thermal radiation, Dufour and Soret.Design/methodology/approachThe mathematical model is formulated based on the fundamental assumptions of mass, energy and momentum conservation. The implicit models are epitomized by a set of interconnected nonlinear partial differential equations, which include a suitable and comparable adjustment. The numerical solution to these equations is assessed for approximate convergence by the Runge−Kutta−Fehlberg method based on the shooting technique embedded with the MATLAB software.FindingsThe findings are presented through graphical representations, offering a visual exploration of the effects of various dynamic parameters on the flow field. These parameters encompass a wide range of factors, including radiation, thermal and Brownian diffusion parameters, Eckert, Lewis and Soret numbers, magnetic parameters, Maxwell fluid parameters, Darcy numbers, thermal and solutal buoyancy factors, Dufour and Prandtl numbers. Notably, the authors observed that nanoparticles with a spherical shape exerted a significant influence on the stream function, highlighting the importance of nanoparticle geometry in fluid dynamics. Furthermore, the analysis revealed that temperature profiles of nanomaterials were notably affected by their shape factor, while concentration profiles exhibited an opposite trend, providing valuable insights into the behavior of nanofluids in porous media.Originality/valueA distinctive aspect of the research lies in its novel exploration of the impact of external magnetic flux on the flow of a mixed convective Maxwell hybrid non-Newtonian nanofluid over a linearly extending porous flat plate. By considering variables such as solar radiation, external magnetic flux, thermal and Brownian diffusion parameters and nanoparticle shape factor, the authors ventured into uncharted territory within the realm of fluid dynamics. These variables, despite their significant relevance, have not been extensively studied in previous research, thus underscoring the originality and value of the authors’ contribution to the field.

Nanoparticle shape factor impact on double diffusive convection of Cu-water nanofluid in trapezoidal porous enclosures: A numerical study

Enclosures that contain both fluid and porous regions are utilized in various industries and geophysical processes to enhance heat and mass transfer. These enclosures find applications in fields such as geothermal engineering, drying of porous solids, cooling of electronics, metal solidification, and many others. In line with the motivation behind these applications, the present study explores double diffusion in the naturally convective flow of water-based nano fluid saturated in the trapezoidal porous enclosure and containing Copper (Cu) nano particles. The impact of uniformly applied radiative heat flux and nano particle shape factor is also accounted. A numerical investigation was carried out using a finite difference methodology integrated into a computational MATLAB code for numerical simulation. The simulation aimed to study the effect of nanoparticle shape factor on the effectiveness of a porous medium, which is exposed to two distinct objectives: enhancing heat transfer and optimizing mass transfer within a fluid-saturated porous medium. This research conducts a meticulous parametric exploration, underscoring the pivotal roles played by Darcy number (Da), nanofluid shape factor (m), Rayleigh number (Ra), thermal radiation (Rd), buoyancy ratio (Nr), and Lewis number (Le) in shaping the dynamics of flow, heat, and concentration transfer. The analysis of Nusselt and Sherwood numbers reveals that changing the shape of nano-particles from spheres to bricks increases the heat flux and mass flux coefficients by approximately 0.33% and 1.37% respectively. The results show a significant increase in Nusselt and Sherwood numbers, with blade-shaped nanoparticles demonstrating approximately a 2.97% and 10.82% improvement, respectively, compared to sphere-shaped nanoparticles. The outcome of this analysis yields an exhaustive dataset encompassing Nusselt and Sherwood numbers can be written as mathematical functions based on the parameters we talked about earlier.

Hybrid Nanofluid Flow over a Shrinking Darcy-Forchheimer Porous Medium with Shape Factor and Solar Radiation: A Stability Analysis

This research aimed to develop a numerical solution to analyze the effects of solar radiation and nanoparticle shape factors on the flow of a hybrid nanofluid past a shrinking Darcy-Forchheimer porous medium. The base fluid chosen for this study is water (H2O), and the hybrid nanofluid consists of nanoparticles of silver (Ag) and titanium dioxide (TiO2) in four different shapes: bricks, cylinders, platelets, and blades. To account for solar radiation, the energy model incorporated a radiative heat flux, while the momentum problem considers the influence of a magnetic field. The application of an appropriate similarity transformation method converts the partial differential equations (PDEs) model into a system of nonlinear ordinary differential equations (ODEs). The mathematical model is solved using the shooting technique method and the bvp4c solver. The obtained results, along with the effects of the nanoparticle shape factor, solar radiation parameter, shrinking parameter, Darcy-Forchheimer number, and nanofluid volume fraction, are visually presented through figures and tables. It is worth noting that, in our numerical results, we observed the presence of dual solutions when λ < 0. Our findings indicate that the thermal transmittance increases with an increase in the nanoparticle shape factor and solar radiative parameter. Additionally, we observed an escalation in the velocity distribution in relation to the shrinking parameter and nanofluid volume fraction. Before reaching the two solutions, a flow stability analysis revealed that the first branch appears to be the most stable. Overall, these findings provide valuable insights into the behaviour of hybrid nanofluid flow in the presence of solar radiation and porous media.

Melting heat transfer and entropy analysis of ternary Casson nanofluids flow with second slip conditions: Application on rocket engine cooling

Heat transfer analysis of Casson nanofluid flow with single and multi-walled carbon nanotubes and Al2O3 or GO nanoparticles, which are suspended in kerosene oil, is elucidated. The impact of second slip conditions on the flow system’s velocity, temperature, and solutal is considered, along with the effect of melting heat transfer and nanoparticle shape factor. The appraisal’s novelty is the incorporation of second slip conditions on kerosene oil flow containing with new three distinct nanoparticles. Similar variables are used to convert the governing equations into ordinary equations which are then solved using homotopy perturbation method (HPM). The profiles of velocity, temperature, concentration, and Bejan number are estimated for various values of relevant parameters. Results demonstrate that the Bejan number declines due to enhance the first thermal parameter and second velocity parameter, while the contrary tendency is examined by raising the Casson fluid parameter and first velocity parameter. Al2O3-SWCNT-MWCNT TNF responds more strongly than GO-SWCNT-MWCNT TNF when the temperature is coupled with (nanoparticles volume fraction, first thermal parameter), axial velocity with (nanoparticles volume fraction, first velocity parameter, first thermal parameter), and Bejan number with melting parameter. This study is to help rocket engine designers identify the optimal nanofluids for cooling and fuel.

Analysis of hybrid nanoparticles shape factor and thermal radiation effect on solidification in latent energy storage in a triplex chamber

Analysis of hybrid nanoparticles shape factor and thermal radiation effect on solidification in latent energy storage in a triplex chamber

Evaluation of nanoparticle shape factor on a laminar forced convective heat transfer characteristics of various nanofluids flow in a tube using single-phase numerical model

Nanotechnology is advantageous in improving thermophysical properties and enhancing heat transfer rate compared with conventional fluids due to their superior thermophysical properties. These properties vary with many parameters such as concentration and shape. In this study, the effect of nanoparticles shape is numerically explored on heat transfer performance under a laminar flow regime (Re=500 and 2000) through the smooth tube. Heat transfer enhancement capability of the nanoparticle shapes with targeted reference to average Nusselt number, average Darcy friction factor, pumping power, and performance evaluation criterion have been investigated. Three types of nanofluids (Fe3O4/water, Al2O3/water, and GO/water) with various nanoparticle shapes (brick, cylindrical, platelet, and spherical) and different nanoparticle volume fractions (φ=1.0, 2.0, 3.0, and 4.0%) have been used as heat transfer fluid in analyzes. Numerical results show that heat transfer performance was greatly influenced by changing nanoparticle shapes. The highest average Nusselt number was obtained for GO/water nanofluid with platelet nanoparticle shape and φ=4.0%. Compared to water, Fe3O4/water, and Al2O3/water, the average Nusselt number in GO/water increased by 64.34%, 54.02%, and 43.41%, respectively. The highest performance evaluaton criterionwas obtained for the GO-water nanofluid with platelet nanoparticle shape at Re=2000. On the other hand, it is found that the Fe3O4/water nanofluid with platelets nanoparticle shape causes the highest pumping power compared with other analyzed nanofluids.

Heat generation effects on the MHD Nimonic 80A-Fe3O4 water hybrid nanofluid flow over a wedge with influence of shape factor of nanoparticles

This study reports both MagnetoHydroDynamics (MHD) and heat generation aspects of a water-based hybrid nanofluid flow with various shapes of the nanoparticles involving Nimonic 80A and [Formula: see text], over a moving wedge. Similarity transformations were adapted to obtain non-dimensional equations and solved using MATLAB bvp4c code. All the results and graphs were formulated after a positive outcome of our results with that available in existing literature. Nusselt number, which signifies the heat transfer rate in a flow, increased with an increase in empirical shape factors of the nanoparticle with a contrasting decrease in the drag experienced during the flow, represented by the skin friction coefficient. The velocity profile decreased at a rate of 0.75% for [Formula: see text] to [Formula: see text] due to the augmenting Lorentz forces while it augmented by 18.9% for an augmenting velocity ratio parameter from [Formula: see text] to [Formula: see text] due to the no-slip boundary conditions. Both the Nusselt number and skin friction coefficients decreased with an increase in magnetic parameter. An increase in the nanoparticle concentration resulted in an incrementing streamline value along with increasing temperature profile due to increasing thermal conductivity of the fluid flow system. The physical significance of the study involves in its applications in nuclear, steel industries, MRI scanning for its anti-corrosive and high thermal conductivity properties.

Effects of nanoparticle shape factor on radiative ternary hybrid nanofluid flow over a wedge in presence of induced magnetic field

PurposeSeveral graphs, streamlines, isotherms and 3D plots are illustrated to enlighten the noteworthy fallouts of the investigation. Embedding flow factors for velocity, induced magnetic field and temperature have been determined using parametric analysis.Design/methodology/approachTernary hybrid nanofluids has outstanding hydrothermal performance compared to classical mono nanofluids and hybrid nanofluids owing to the presence of triple tiny metallic particles. Ternary hybrid nanofluids are considered as most promising candidates in solar energy, heat exchangers, electronics cooling, automotive cooling, nuclear reactors, automobile, aerospace, biomedical devices, food processing etc. In this work, a ternary hybrid nanofluid flow that contains metallic nanoparticles over a wedge under the prevalence of solar radiating heat, induced magnetic field and the shape factor of nanoparticles is considered. A ternary hybrid nanofluid is synthesized by dispersing iron oxide (Fe3O4), silver (Ag) and magnesium oxide (MgO) nanoparticles in a water (H2O) base fluid. By employing similarity transformations, we can convert the governing equations into ordinary differential equations and then solve numerically by using the Runge–Kutta–Fehlberg approach.FindingsThere is no fund for the research work.Social implicationsThis kind of study may be used to improve the performance of solar collectors, solar energy and solar cells.Originality/valueThis investigation unfolds the hydrothermal changes of radiative water-based Fe3O4-Ag-MgO-H2O ternary hybrid nanofluidic transport past a static and moving wedge in the presence of solar radiating heating and induced magnetic fields. The shape factor of nanoparticles has been considered in this study.

Pulsatile flow of Casson hybrid nanofluid between ternary-hybrid nanofluid and nanofluid in an inclined channel with temperature-dependent viscosity

This study presents a mathematical model for layered non-miscible liquid flow in an inclined channel subject to a pulsatile pressure gradient. The Casson hybrid nanofluid (hnf) is sandwiched between the layers of Newtonian ternary hybrid nanofluid (t-hnf) and nanofluid (nf). Additionally, the impact of temperature-dependent viscosity is taken into consideration. Multiwall carbon nanotubes, molybdenum disulfide, and silver are considered nanoparticles, with water and kerosene oil as base fluids. The governing partial differential equations are transformed into coupled non-linear ordinary differential equations (ODEs) using the perturbation technique. The resulting ODEs are solved numerically using MATHEMATICA software with the help of the shooting technique associated with the Runge-Kutta fourth-order scheme. The behaviors of numerous sundry parameters against velocity, temperature, concentration, and shear stress are depicted graphically and in tabular form. The outcomes of the study reveal that if the viscosity is held constant, then the fluid’s velocity is initially low and gradually increases as the viscosity variation parameter rises. The velocity of fluid flow is higher when a Newtonian fluid occupies the middle region of the channel than when Casson fluid does. The increase in the nanoparticle shape factor, at both boundaries, results in an increase in the rate of heat transfer.

Optimizing thermosolutal and hydrothermal performance of radiative hybrid ferrofluid and entropy generation in a wavy porous enclosure

This research conducts a comprehensive investigation to enhance the thermosolutal and hydrothermal efficiency of a radiative Fe3O4–Cu–H2O hybrid ferrofluid within a wavy porous enclosure with the enlightenment for heat transfer and material science. The primary focus is on optimizing the thermosolutal performance in this irregular enclosure in which the lower boundary undergoes non-uniform heating and concentration, and the curved lateral boundaries keep cooling, lower concentration. Simultaneously, the upper flat boundary remains adiabatic. Using an efficient Higher Order Compact (HOC) scheme, we solve the governing streamfunction (ψ)-vorticity (ζ) form with the incorporation of energy and species transport equations of the coupled Navier–Stokes equations. Our results are robust and validated against established experimental and numerical data sources. The investigation delves into the impacts of well-defined parameters such as Rayleigh number (Ra), Hartmann number (Ha), Darcy number (Da), Buoyancy ratio (N), Lewis number (Le), Radiation parameter (Rd), shape factor of nanoparticles (m) and solid volume fraction (ϕhnp) of the hybrid ferrofluid. Key findings underscore the consistent enhancement of both average Nusselt number (Nu¯) and average Sherwood number (Sh¯) with higher Buoyancy Ratio Numbers (N). Blades-shaped nanoparticles (m=8.6) demonstrate superior performance in both unitary and hybrid ferrofluid systems. Optimal conditions, identified at ϕhnp=0.04 and Ra=104 by the Bejan number (Be), underscore the positive impact of higher Buoyancy Ratio Numbers (N), resulting in a 25.41% increase in Nu¯ and an impressive 43.81% boost in Sh¯ observed from the shifting of N=0 to N=10.

Similarity analysis of bioconvection of unsteady nonhomogeneous hybrid nanofluids influenced by motile microorganisms.

Motile bacteria in hybrid nanofluids cause bioconvection. Bacillus cereus, Pseudomonas viscosa, Bacillus brevis, Salmonella typhimurium, and Pseudomonas fluorescens were used to evaluate their effect and dispersion in the hybrid nanofluid. Using similarity analysis, a two-phase model for mixed bioconvection magnetohydrodynamic flow was developed using hybrid nanoparticles of Al2O3 and Cu (Cu-Al2O3/water). The parametric investigation, covering the magnetic parameter, permeability coefficient, nanoparticle shape factor, temperature ratio, radiation parameter, nanoparticle fraction ratio, Brownian parameter, thermophoresis parameter, motile bacteria diffusivity, chemotaxis parameter, and Nusselt, Reynold, Prandtl, Sherwoodnumbers, as well as the number of motile microorganisms', showed significant outcomes. Velocity and shear stresses are sensitive to M, Pr, and [Formula: see text]. Magnetic, radiation, and chemotaxis factors impact bacterial density. The hybrid nanofluid velocity decreases when the magnetic parameter, M, Prandtl number Pr increases, while it increases with the increasing of porosity coefficient, [Formula: see text], and the hybrid nanoparticle ratio Nf. The temperature distribution decreases with the increasing of Prandtl number and Nf. Increasing temperature differential and bacterium diffusivity increases bacterial aggregation.

Nanoparticle Shape Effects of Aligned Magnetohydrodynamics Mixed Convection Flow of Jeffrey Hybrid Nanofluid over a Stretching Vertical Plate

This study investigates the nanoparticle shape effects of aligned magnetohydrodynamics (MHD) mixed convection flow of Cu-Al2O3/water-EG Jeffrey hybrid nanofluid over a stretching vertical plate. Five different shapes of nanoparticles which are spherical, cylindrical, blades, bricks, and platelets are considered in this study. The governing equations in the form of Partial Differential Equations (PDEs) had been reduced to nonlinear Ordinary Differential Equations (ODEs) by using similarity transformation. The solver bvp4c in MATLAB software was applied to numerically solve the dimensionless governing equations towards the physical parameters which are aligned angle of magnetic field, interaction of magnetic field, mixed convection, Deborah number, volume fraction of nanoparticles, and nanoparticle shape factor. The effects of nanoparticle shapes and other relevant thermophysical parameters on fluid velocity, temperature, skin friction coefficient and Nusselt number are discussed in tables and figures. In comparison of all shapes, this study found that blade shaped nanoparticles have the highest values of skin friction coefficient and Nusselt number. The parameters blobid0.pngblobid1.pngblobid2.png and blobid3.png decrease the velocity profiles but increase the temperature profiles.

Significance of nanoparticle shape factors on MHD nanofluid flow across a slender surface

ABSTRACT This research scrutinizes the significance of nanoparticle shapes over the magnetized flow of engine-oil-based Ti6Al4V nanoliquid across a surface of varied thickness under the action of Buongiorno slip effects. The transmuted dimensionless equations and edge restrictions are exercised using the bvp5c scheme. This research’s prime purpose is to enhance the thermal transmission rate due to the suspension of spherical- or laminar-shaped nanoparticles (SSNs) or (LSNs) into the base liquid. The computational outcomes for flow, energy, and concentration fields were explored via plots and numerical illustrations. Evidently, energy transmission efficiency is developed in SSNs as compared with LSNs. The Buongiorno slip and nonuniform heat source factors tend to enrich the Nusselt number. The shape factor of nanoparticles is significant in enhancing or diminishing the heat flow rate.

Convective nanofluid flow subjected to variable porosity, inclined magnetic field, and thermal radiations

Nanofluids pique the attention of researchers and scientists because of their excellent thermal transfer rates. They have numerous technological and industrial implementations in daily life. Nonsimilar analysis in this research is performed to study the consequences of nonuniform porosity of a porous medium on the radiative flow of nanofluid across a vertically positioned stretching surface. Moreover, the effects of viscous dissipation and inclined magnetic field are also taken into account. Single phase nanofluid model with latest thermophysical features of nanofluid are considered to devise the physical problem. Hamilton–Crosser model is used to investigate the various shapes of nanoparticles. Titanium oxide (TiO 2), Zirconium dioxide (ZrO2 ), water and Borosilicate ceramic are regarded as nanoparticles, base fluid, and porous media, respectively. The Brinkman–Forchheimer-extended Darcy model is assumed to represent the flow through porous medium. The governing partial differential equations (PDEs) with accompanying boundary conditions are transformed into the dimensionless system by deploying the appropriate transformations. The local nonsimilarity (LNS) approach with MATLAB bvp4c algorithm is executed to solve the dimensionless nonlinear coupled differential system. Results demonstrate that the augmentation in Hartmann number and porosity parameter diminished the velocity profiles of the considered nanofluids. Moreover, maximum temperature profile is noticed for the lamina shaped nanoparticles. Local Nusselt number for considered cases diminishes against the augmented estimations of Richardson number, radiation parameter and nanoparticles shape factor. A comparative study between the current study and previously published results for a specific case is conducted to validate the results, and good agreement is found between them.

Thermal analysis and optimization approach for ternary nanofluid flow in a novel porous cavity by considering nanoparticle shape factor

This study focuses on the numerical investigation and optimization of the heat-fluid transfer process within a novel cavity containing a ternary nanofluid (Cu–MgO–ZnO/water) influenced by a magnetic field. The research is conducted within a circular cavity featuring a cold wall and a complex internal heat source. The governing equations, converted into dimensionless form, are solved using a computational code based on the finite volume approach. The analysis encompasses the effects of a wide range of physical parameters, including the Rayleigh number (Ra), Hartmann number (Ha), magnetic field angle (α), radiation (Ra), nanoparticle shape factor (Sf), and porosity (ԑ). The results revealed that increasing the nanoparticle shape factor leads to a significant 61 % enhancement in the outer Nusselt number. This finding underscores the substantial influence of the nanoparticle shape factor (Sf) on heat transfer compared to other controlled variables. Furthermore, the response surface method is employed to determine the optimal conditions that yield the highest Nusselt number, resulting in optimal values for Ra, Ha, ԑ, Rd, α, and Sf of 2876, 44.26, 0.75, 0.073, 54.21, and 16.15, respectively. Consequently, the highest average Nusselt number attained is 20.01. As a result, this optimization approach establishes valuable correlations among various control parameters to enhance thermal energy, offering valuable insights for designers in the development of thermal devices.

Influence of exponential heat source, variable viscosity and shape factor on a hybrid nanofluid flow over a flat plate when thermal radiation and chemical reaction are significant

The significance of hybrid nanofluid flow over a flat plate lies in its ability to enhance heat transfer, improve energy efficiency, enable temperature control, and provide surface protection. For instance, hybrid nanofluids can provide a protective coating on the surface of a flat plate due to the presence of nanoparticles. This coating can offer improved corrosion resistance, erosion resistance, and anti-fouling properties. Consequently, it can extend the lifespan of the flat plate and reduce maintenance requirements. In this study, we examined how several characteristics, such as variable viscosity, chemical reaction, thermal radiation and shape factor of nanoparticles, affect the flow of a hybrid nanofluid (H[Formula: see text]) through a flat plate. The equations required to represent the problem have been turned into a system of nonlinear ordinary differential equations, and this system has been unraveled by means of the bvp4c solver. Outcomes are provided for three instances related to shape factor i.e. Platelet, Cylinder and Spherical. Using Multiple Linear Regression (MLR), we investigated how physical parameters of concern together with friction factor, are affected by a variety of parameters. It is remarked that the fluid’s velocity lessens as the variable viscosity parameter enhances. It is discovered that the temperature profile increases with the rise in exponential heat source parameter ([Formula: see text]). It is discovered that when [Formula: see text], the Nusselt number declines by 0.03588 (Platelet shape), 0.03562 (Cylinder shape), and 0.03489 (Spherical shape). It has been noted that magnetic field parameter (Mg) reduces the coefficient of skin friction. At [Formula: see text], the skin friction coefficient is seen to drop at a rate of 1.15018 (Platelet shape), 1.14871 (Cylinder shape), and 1.14476 (Spherical shape). There is an enhancement in the Sherwood number with the rise in Schmidt number (St) and chemical reaction parameter (Cr). At [Formula: see text] the Sherwood number is seen to rise at a rate of 0.248303 (Platelet shape), 0.248344 (Cylinder shape), and 0.248447 (Spherical shape). Furthermore, it is detected that the fluid’s temperature rises as the thermal radiation parameter enhances and the entropy generation increases as the variable viscosity parameter increases.

Computational analysis of hybrid nanoliquid flow over an exponentially elongating sheet influenced by oblique Lorentz force with viscous-Joule dissipation: Role of nanoparticle shape factor

This article mainly examines the influences of an oblique Lorentz force on H2O-based hybrid nanoliquid flow over a over a permeable and exponentially elongating surface embedded in a uniform porous medium. The nanoliquid contains Cu and Al2O3 as suspended nanoparticles of varying shapes (spherical, blade and lamina). Further, the significance of viscous-Joule dissipation, nonlinear thermal radiation, and an internal heat source is also considered. Moreover, Navier’s velocity slip and thermal jump conditions are imposed at the surface boundary. Studying such a fluid flow problem becomes essential because of various industrial devices and technological processes, viz., the production of polymer, manufacturing of food products, metallurgical processes, cooling of electronic chips and solar cells, nuclear power reactors and several other devices like thermistors, glass fiber, electric fuses, gas turbines, etc. A suitable similarity transformation has been utilized to transform the governing set of equations into dimensionless form. The resulting highly nonlinear boundary value problem is solved numerically using Runge–Kutta–Fehlberg formula-based shooting method. In addition, secant iteration is employed to modify the guesses for missing initial conditions. The outcomes of the study are demonstrated and displayed through graphs and tables. Furthermore, a quadratic regression analysis is carried out to illustrate the dominant behavior of the relevant factors on the local drag coefficient and Nusselt number. The angle of inclination of applied magnetic field has the tendency to accelerate the flow. Compared to blade and lamina shapes nanoparticles, nanofluid temperature is higher for spherical nanoparticles.

Entropy generation analysis and hydrothermal optimization of ternary hybrid nanofluid flow suspended in polymer over curved stretching surface

This paper examined the flow of nanofluids on a curved stretched surface. Three nanoparticles Go (graphene oxide), Cu (Copper) and CeO2 (ceria) and polymer as the basic fluid were used in this investigation. A ternary hybrid nanofluid (THyNF) is created by these nanoparticles and the base fluid. Analysis of irreversibility, entropy generation (SG), and Bejan number (Be) have all been studied in addition to parameter affect velocity and temperature profile. Differential equations with partial derivatives (PDEs) were converted into ordinary differential equations (ODEs) by employing helpful transforms. The RK5th approach was then used to solve the ODEs. Studies demonstrate that curvature parameter (A) enhances the temperature (θ(η)) and velocity profile (f′(η)). The radiation related factor raises the temperature as well. The volume fraction (φ1,φ2,φ3) of nanoparticles and Brinkmann increases the generation of entropy and decreases the Bejan number. The shape factor and radiation also improve entropy and Bejan. Also explored were the effects of volume fraction nanoparticles, shape factor (SF), curvature parameter, and radiation on the surface drag force and the Nusselt number. The findings demonstrate that although surface drag force is unaffected by nanoparticle radiation and shape factor, but Nusselt is improved. The Nusselt value decreases by 37 % when the tested range's curvature parameter is increased.