Radiative Nanofluid Flow Research Articles

Entropy generation of Williamson hydromagnetic non-linear radiative nanofluid flow near a stagnation point over a porous stretching sheet

Purpose This study aims to analyze the multi-slip effects of entropy generation in steady non-linear magnetohydrodynamics thermal radiation with Williamson nanofluid flow across a porous stretched sheet near a stagnation point. Also, the qualities of viscous dissipation, Cattaneo–Christove heat flux and Arrhenius activation energy are taken into account. Thermophoresis, Brownian motion and Joule heating are also considered. Design/methodology/approach The Navier–Stokes equation, the thermal energy equation and the Solutal concentration equations are the governing mathematical equations that describe the flow and heat and mass transfer phenomena for fluid domains. By using the proper similarity transformations, a set of ordinary differential equationss are retrieved from boundary flow equations. The classical Runge–Kutta fifth-order algorithm along with the shooting technique is implemented to solve the obtained first order differential equations. Findings The study concludes that the temperature distribution boosting for thermal radiation, magnetic field and Eckert number where as the velocity and entropy generation escalate for the Williamson parameter, diffusion parameter and Brinkman number. The skin-friction and heat and mass transfer rate increases with the fluid injection. In addition, tabulated values of friction drag and rate of heat and mass transfer for various values of constraints are provided. Originality/value The comparison of the present results is carried out with the published results and noted a good agreement.

Unsteady chemically reactive heat and mass transfer during Darcy Forchheimer radiative nanofluid flow with slip conditions: Application to nano‐lubrications and cutting process

Unsteady chemically reactive heat and mass transfer during Darcy Forchheimer radiative nanofluid flow with slip conditions: Application to nano‐lubrications and cutting process

Computing intelligence for the magnetised chemically reactive bidirectional radiative nanofluid flow through the Bayesian regularisation back-propagated neural network

Computing intelligence for the magnetised chemically reactive bidirectional radiative nanofluid flow through the Bayesian regularisation back-propagated neural network

Turbulent and non-turbulent analysis of thermomagnetic convection and heat transfer of darcian radiative nanofluid flow across inclined stretching surface in microgravity environment

Turbulent and non-turbulent analysis of thermomagnetic convection, heating rate and mass transport of Darcian radiating nanofluid flow through porous slanted sheet is the aim of present study. Influence of microgravity is more useful for the movement of thermophoresis nanoparticles with maximum temperature and density. Joule heating, porous medium, magnetic field and thermal radiations are incorporated for the performance of thermal convection. Governing equations are reduced in dimensionless form. Oscillatory stokes conditions are applied to separate the steady, real and imaginary equations. Finite difference, Primitive transformation, and Gaussian elimination techniques are applied for numerical outputs. For asymptotic results, the appropriate range of parameters such as 0.1≤JH≤15.0, 0.1≤Pr≤12.0, 0.1≤Rd≤25.0, 0.0≤λT≤5.0, 0.1≤NT≤1.0, 0.1≤Fr≥6.0, and 0.1≤δ≤1.0 is utilized. Main novelty of work is to examine the steady state and oscillatory behavior of friction-rate, heat/mass transport over slanted two-angles π/6 and π/4. Maximum amplitude in fluid velocity is observed by increasing radiations and buoyant forces. Temperature distribution and nanomaterial concentrations enhance as Joule-heating and Prandtl number increases under microgravity region. Amplitude and oscillation of heat and mass rate is increased as reaction rate, Joule heating and Forchheimer parameter increases. Enhancing behavior of energy transport is observed for maximum choice of Prandtl index with small magnetic effects. It is depicted that high rate of oscillating frequency in heat transmission is detected with maximum radiation effects.

Performance of activation energy on the radiative nanofluid flow with Darcy-Forchheimer inertial drag over a heated elongating sheet

Performance of activation energy on the radiative nanofluid flow with Darcy-Forchheimer inertial drag over a heated elongating sheet

Numerical simulation for the slip impacts on the radiative nanofluid flow over a stretched surface with nonuniform heat generation and viscous dissipation

Abstract The growing fascination with nanofluid flow is motivated by its potential applications in a variety of industries. Therefore, the objective of this research article is to conduct a numerical simulation of the Darcy porous medium flow of Newtonian nanofluids over a vertically permeable stretched surface, considering magnetohydrodynamic mixed convection. Various attributes, such as the impacts of slip, thermal radiation, viscous dissipation, and nonuniform heat sources, are integrated to explore the behavior of the flow. The utilization of the boundary layer theory helps to describe the physical problem as a system of partial differential equations (PDEs). These derived PDEs are then converted to a system of ordinary differential equations (ODEs) through the application of suitable conversions. The outcomes are obtained using the finite difference method, and the effects of parameters on nanofluid flow are compared and visualized through both tabular and graphical representations. The outcomes have been computed and subjected to a comparative analysis with previously published research, revealing a remarkable degree of agreement and consistency. Consequently, these innovative discoveries in heat transfer could prove beneficial in addressing energy storage challenges within the contemporary technological landscape. The noteworthy main findings indicate that when the porous parameter, magnetic number, velocity slip parameter, viscosity parameter, and Brownian motion parameter are assigned higher values, there is an observable expansion in the temperature field. Due to these discoveries, we can enhance the management of temperature in diverse settings by effectively modulating the heat flow.

Cattano Christov double diffusion model for third grade nanofluid flow over a stretching Riga plate with entropy generation analysis

The current investigation delves into the convective heat and mass transfer characteristics of third-grade radiative nanofluid flow within a porous medium over a Riga plate configuration. The Riga plate structure incorporates magnets and electrodes strategically arranged on a plate surface. To enhance the accuracy of energy and concentration expressions within the third-grade fluid flow, the Cattano Christov Double Diffusion model is employed. Entropy generation analysis is conducted by applying the second law of thermodynamics, and Darcy's model is employed to characterize the behavior of a porous medium. Appropriate similarity transformations have been used to convert the partial differential equations monitoring the fluid flow model into dimensionless ordinary differential equations. The Galerkin weighted residual method is employed to resolve these equations numerically. The findings contain detailed explanations of how relevant factors affect the temperature field, concentration field, velocity field, entropy generation, and Bejan number, in addition to graphic representations of the results. The findings indicate that the medium's porosity and Brinkman number promote entropy generation. The Bejan number and entropy production is affected by the thermal radiation parameter, which first rises and then declines after a certain distance.

The impact of a chemical reaction on the heat and mass transfer mechanisms in a dissipative and radiative nanofluid flow over a nonlinear stretching sheet

This paper presents a numerical investigation of the flow of a non-Newtonian tangent hyperbolic nanofluid over a nonlinearly stretched surface, taking into account factors such as thermal radiation, prescribed surface temperature, and a chemical reaction mechanism. Furthermore, the analysis includes the consideration of both viscous dissipation and the influence of a magnetic field within a Darcy porous medium. A mathematical framework for addressing the issue, rooted in the principles of conserving momentum, energy, and mass. The MATHEMATICA tools were employed to apply the shooting technique in order to solve the modeled equations describing the temperature, velocity, and concentration fields of the proposed physical system. Graphs are used to illustrate how certain key parameters affect the profiles of concentration, velocity, and temperature. Data tables are utilized to display information pertaining to the local Nusselt number, local Sherwood number, and local skin friction coefficient. The present results have been confirmed through a comparison with previously published findings. This research holds significant importance as it focuses on the extensive utilization of tangent hyperbolic nanofluids in cooling electronic components that produce substantial heat during their operation. The observed pattern indicates that as the local Weisbsenberg number, magnetic number, local porous parameter, and power law index increase, there is a reduction in the boundary layer thickness. Conversely, in the instances of concentration and temperature distributions, an escalation in these parameters leads to an expansion of the boundary layer thickness.

Dual solutions of Darcy-Forchheimer radiative-convective magneto-nanofluid flow over an exponentially stretching/shrinking surface: Stability and entropy generation analysis

A numerical investigation was conducted to examine the existence of dual solutions over exponentially stretching or shrinking permeable surfaces. The study aimed to analyze the impact of thermal and second-order velocity slip on magnetohydrodynamic (MHD) mixed convective radiative nanofluid flow within a Darcy-Forchheimer porous medium while considering heat generation. Two distinct types of nanofluids, namely Cu-water and TiO 2/water, were employed in the investigation. To address the nonlinear partial differential equations (PDEs), similarity transformations were utilized to transform them into a system of ordinary differential equations (ODEs). The resulting coupled higher-order nonlinear ODEs were then solved using a MATLAB-based boundary value algorithm known as bvp4c. Two distinct solutions are observed within a restricted range of the stretching/shrinking parameter ξ ( ξ > ξ c ) and suction parameter S ( S > S c ), terminating respectively at ξ = ξ c or S = S c . The critical values are identified as ξ c = − 1.1952 ( Cu − water ) , − 0.9304 ( Ti O 2 − water ) and S c = 1.6437 ( Cu − water ) , 1.8900 ( Ti O 2 − water ) , maintaining the fixed values of the remaining physical parameters. Notably, the critical value for Cu-water is lower than that of TiO 2-water. Moreover, in both solution branches, the range of skin-friction coefficient and local Nusselt number for Cu-water surpasses that of TiO 2-water. An evaluation of the temporal stability of these solutions reveals that only the first solution remains stable. This is supported by the positivity of the smallest eigenvalues ( γ 1 > 0 ), indicating stability. Conversely, for the second solution, the smallest eigenvalues ( γ 1 < 0 ) are negative, signifying its instability. Also, Cu-water nanofluid exhibits higher fluid velocity and lower fluid temperature than TiO 2-water nanofluid for stable solutions and the opposite behavior for unstable solution branches. Significantly, within the initial solution branch, there is an escalation in velocity profiles attributed to the magnetic parameter, Grashof number, porous parameter, and first- and second-order velocity slip parameter. Conversely, a decrease is observed for the Forchheimer number, while the opposite holds true for the second solution branch. For both solution branches, the temperature profiles experience a reduction due to thermal slip and stretching/shrinking parameters, whereas enhancements are noted for thermal radiation and heat generation parameters. Furthermore, an increase in the suction parameter leads to elevated skin friction coefficient and local Nusselt number in the first stable solution, thereby promptly improving heat transfer efficiency. Moreover, improvements in entropy generation arise from factors such as thermal radiation, magnetic field, and nanoparticle solid volume fraction, presenting opportunities to optimize heat transmission in cooling and heating systems.

Heat generating impact on radiative nanofluid flow via exponential expanding surface with convective conditions: Mesh independence examination

The current article aims to inspect existence of electrical field in magnetohydrodynamics stream of nanofluid toward nonlinear via various thicknesses of symmetric extended surface. This examination is distinctive in that it analyses influences of Joule heating, thermal radiation, and chemical reaction on heat and mass transport. Electric field and variable thickness phenomena are used to study thermophysical properties. Asymmetry technique is used to describe geometric model. Governed differential equations are changed over into dimensionless ordinary differential equations by applying similarity changes and solutions are obtained by bvp4c in MATLAB. Augmentation in velocity and temperature, together with suppression of concentration is caused by occurrence of electric field. Parameters of magnetized force, thermal radiation, and Eckert number are responsible for enhancing variations in temperature and thermal boundary layer thickness. These variations are reduced with rising Prandtl number and electric field. This research compares new findings with preexisting data in limited cases.

Computational analysis of radiative nanofluid flow past an inclined cylinder with slip effects using the Yamada–Ota model

The notion of the paper is to analyse the flow attributes of a carbon nanotube-based hybrid nanofluid over an inclined cylinder. This study accounts for the impacts of mixed convection, thermal radiation, suction/blowing, and slip boundary conditions. The solution of the governing equations is obtained using the "bvp4c solver", and presented through graphs and tables. The obtained results are validated by comparing them with published work. The study reports that increasing the temperature slip parameter led to a reduction in both velocity and temperature distributions. The presence of an electric parameter contributed to an increase in nanofluid flow, while the temperature of the nanofluid exhibited a decrease. Moreover, increasing the Hartmann number from 0.2 to 1.1 results in a 1.39% increase in the heat transfer rate within the hybrid nanofluid model. However, the pure fluid model demonstrates a more substantial enhancement, with a significant 3.8% rise in the heat transfer rate.

Computational analysis of nonsimilar electromagnetohydrodynamic radiative nanofluid flow across Darcy–Forchheimer–Brinkman porous media

This study develops nonsimilar analysis for the electrically conducting nanofluid flow over a vertically placed stretching surface adjacent to porous medium with transverse magnetic field assumption. The features of thermal radiations, viscous dissipation, and heat source factors are also incorporated to scrutinize the thermal prospective. The Brinkman–Forchheimer who extended Darcy model is considered for the porous medium and a Rosseland approximation is employed for thermal radiations. Titanium oxide and silica are considered nanoparticles, while kerosine oil and silicon ceramic serving as the base fluids in porous medium, respectively. Tiwari–Dass approach is used to derive the governing system. Appropriate transformations are deployed to render the governing partial differential equations into a dimensionless system. To address the transformed system, the local nonsimilarity technique in conjunction with the bvp4c (fourth-order method boundary value problem) is used. Variations in velocity and thermal distributions of nanofluids have been investigated in relation to developing dimensionless parameters such as nanoparticle concentration, Darcy porosity parameter, Darcy number, electric parameter, Hartmann number, radiation parameter, Richardson number, heat source/sink parameter, and Eckert number. Numerical findings are found to interpret the role of the emerging parameters on physical quantities. The obtained findings reveals that the surge in the estimations of Richardson number enhances the nanofluid velocity while it diminishes the temperature profile. The concentration of nanoparticles improves the thermal profile of both nanofluids under consideration, whereas the enhancement in Darcy porosity parameter reduces velocity and improves temperature distributions. Results found to be in excellent agreement with published results on a special case of the considered problem.

Aspects of active-passive controls of nanoparticles of chemically reactive and radiative nanofluid flow past a frequently moving thin needle with thermal and velocity slip: A numerical framework

This communication unfolds the flow features and distribution of mass, heat of a steady MHD nanofluidic stream over an axially moved thin needle with passive and active controls of tiny particles. A linear sort of heat radiation with magnetic influence and a higher-order chemical reaction are addressed in this study. The investigation has been enriched by the consideration of thermophoretic forces with the Brownian movement of fluid. The statement of the problem is formed on the basis of Buongiorno’s model, which introduced the existence of thermal & velocity slips. A suitable set of conversions was utilized to transfigure the foremost equations into nondimensional ordinary ones. Due to the extreme nonlinearity of this problem, we avoid the analytical scheme of solution. Hence, we have implemented the RK4 procedure in shooting approach through the algebra software MAPLE 2017, to solve it in a numerical manner. Numerous graphical diagrams and tables are buildups to discuss our attained impacts. Also, it is ensured the validation of these results with the study which was published earlier. Investigation depicts that the order of chemical reaction intensifies fluid density for active control, while the reverse is recorded in the passive strategy. Velocity slip amplifies the drag friction but reduces the transportation of heat. In the active control system, advanced chemical reaction offers more transmission of heat, but the opposite happens in another control.

Dissipative magnetic ohmic heating influence on radiative nanofluid flow about a permeable stretching sheet under a porous medium with heat source

The present numerical analysis describes the influence of dissipative magnetic Ohmic heating on the radiative magnetised nanofluid flow about a permeable stretching sheet under porous medium and thermal source/sink effects numerically. Produced steady-state Navier-Stokes conservation equations are highly nonlinear, coupled and which are rendered non-dimensional through appropriate similarity transformations. A Runge–Kutta scheme with shooting technique is implemented to produce the similarity solutions. Increased Lorentz force field decreases the velocity field. Nanofluid velocity significantly decreasedadjacent to the solid sheet for the increasing porous parameter. Enhancing thermal absorption number decreases the thermal boundary layer thickness. The novelty of the current investigation is to generalise the former studies by incorporating the magnetic Ohmic heating; viscous dissipation, radiation, porous number, Brownian motion and thermophoresis parameters and producing more refined nanofluid flow definition. A comparative study with former results also included to quantify the guarantee of the produced similar results.

Impact of inertial drag on the radiative nanofluid flow over a curved surface for the effect of chemical reaction with convective conditions

This paper enchases the performance of the inertial drag on the Buongirino model nanofluid flow past a curved stretching surface embedding within a permeable medium. The radiating heat transport property for the interaction linear approach of Rosseland thermal radiation vis-à-vis reacting species enriches the flow behavior. Further, this study is novel due to the consideration of convective boundary conditions for both the energy and solutal bounding surface condition in association with the slip velocity condition. In a practical situation, when the fluid and surface temperature are different, it is wise not to neglect the convective boundary conditions. The application of convective conditions is useful for the fabrication of the final product in the manufacturing processes. Further, the renovation of the proposed model is obtained for the suitable assumption of the similarity transformation. Traditional numerical technique, i.e., fourth-order shooting-based Runge–Kutta is the best choice for the solution of the set of the transformed equation for the assumed parameters within their specified range. Velocity contour for different parameters vis-à-vis the parametric behavior is presented graphically. Numerical validation as well as the statistical testing for the rate coefficients are the novel approaches of this study. However, interesting outcomes are deployed as follows: The enhanced Brownian and thermophoresis both encourage the fluid temperature, whereas thermophoresis decelerates the fluid concentration.

Heat and mass transfer analysis of non-Newtonian radiative nanofluid flow driven by the combined action of peristalsis and electroosmosis

The present numerical investigation uncovers the flow, heat, and mass transfer of ethylene glycol-based nanofluid (BN-EG) led by the combined impacts of peristaltic pumping and electroosmosis. The thermal conductivity of carrier liquid is deemed to change with temperature. Further, the features of electric field, Ohmic heating, radiative heat flux, mixed convection, and magnetic field are taken. Mathematical modeling is conducted under the assumption of lubrication theory. The nonlinear-coupled equations are addressed numerically by implementing Shooting method. The effective results of all physical constraints linked with the flow model are vigilantly studied and highlighted through various curves. The observations obtained from current analysis reveal that temperature augments with higher electroosmotic parameter. However, the Joule heating parameter increases the rate of heat transmission, while a lower rate of heat transfer is perceived for the radiation parameter. An increment in Helmholtz–Smoluchowski velocity increases the velocity profile. Pressure gradient rises in a forward way when electrical field favors peristaltic flow. Concentration of nanomaterial considerably declines when concentration Grashoff number is assigned higher values.

Convection analysis of the radiative nanofluid flow through porous media over a stretching surface with inclined magnetic field

Nanofluids flow through porous media constitutes an emerging perspective in many thermodynamic processes and thermal processing optimization. The primary goal of contemporary research from the standpoint of such thermal applications is to examine the nanofluid flow across a vertically placed stretching surface embedded in a porous media. The mathematical formulation of the considered flow is modeled with the consequences of inclined magnetic field and thermal radiations. The Darcy-Forchheimer-Brinkman model addresses the fluid transport within the porous medium. Carbon nanotubes (CNTs) and alumina ceramics are considered nanoparticles and porous media, respectively, and water is regarded as a base fluid in this study. Appropriate transformations have been developed to reduce the governing equations into the dimensionless system. The highly nonlinear transformed system is addressed by using a local non-similarity approach via the bvp4c built-in MATLAB function. The physical implications of the emerging dimensionless parameters on the velocity and thermal profiles of considered nanofluids are studied and discussed in detail. It is perceived that the thermal profile of nanofluid is enhanced with increasing estimations of nanoparticles concentrations and radiation parameters. Furthermore, an increment in Hartmann's number and magnetic field inclination angle diminishes fluid velocity. Furthermore, increasing the Darcy number reduces the temperature distributions of the nanofluids under consideration. Comparing the current study with published articles is also performed to corroborate the reported results. In this regard, an excellent agreement has been achieved. This work is expected to provide important information for the future implementation of innovative heat transfer devices, as well as a valuable reference for researchers studying nanofluids flows under varied assumptions.

Unsteady mixed convective radiative nanofluid flow in the stagnation point region of a revolving sphere considering the influence of nanoparticles diameter and nanolayer

Numerous technological applications, including rotating equipment design, missile re-entry, projectile motion and fiber coating, depend on the rotational flows and heat transfer characteristics of a forced flow stream over stationary spinning bodies of revolution. In this regard, the authors have presented an analytical solution of the mixed convective, time-dependent, laminar, and incompressible MHD flow of a water-based Al2O3 nanofluid towards the stagnation region of an angularly revolving sphere. The nanofluid transport is treated as axisymmetric and possesses constant thermophysical features except for the variation in density which originates the buoyancy force. The analytical solution of this analysis has been attempted by the homotopic approach. The convergence of the homotopic approach is presented with the help of Figure. The impacts of the embedded factors on the flow profiles are presented with the help of Figures and Tables. The results showed that the velocities and thermal profiles of the water-based Al2O3 nanofluid have been significantly enhanced by the volume fraction of an Al2O3 nanoparticle. The increasing nanoparticle diameter declines the thermal scenario while the nonlinear thermal radiation parameter and ratio of the liquid and nanolayer conductivity are enhanced the thermal profiles of the water-based Al2O3 nanofluid.

Mixed Convection Nanofluid Flow with Heat Source and Chemical Reaction over an Inclined Irregular Surface.

Two-dimensional mixed convection radiative nanofluid flow along with the non-Darcy permeable medium across a wavy inclined surface are observed in the present analysis. The transformation of the plane surface from the wavy irregular surface is executed via coordinate alteration. The fluid flow has been evaluated under the outcomes of heat source, thermal radiation, and chemical reaction rate. The nonlinear system of partial differential equations is simplified into a class of dimensionless set of ordinary differential equations (ODEs) through a similarity framework, where the obtained set of ODEs are further determined by employing the computational technique parametric continuation method (PCM) via MATLAB software. The comparative assessment of the current outcomes with the earlier existing literature studies confirmed that the present findings are quite reliable, and the PCM technique is satisfactory. The effect of appropriate dimensionless flow constraints is studied versus energy, mass, and velocity profiles and listed in the form of tables and figures. It is perceived that the inclination angle and wavy surface assist to improve the flow velocity by lowering the concentration and temperature. The velocity profile enhances with the variation of the inclination angle of the wavy surface, non-Darcian term, and wavy surface term. Furthermore, the rising value of Brownian motion and thermophoresis effect diminishes the heat-transfer rate.

Entropy optimization in hybrid radiative nanofluid flow with effect of variable magnetic field over exponential stretching plate

Researchers have recently become interested in hybrid nanofluids, which are generated by dissipating two solid components in a regular fluid and can increase thermal properties. In this article, entropy optimization of three-dimensional hybrid nanoparticles flow through a bidirectional exponential stretching/shrinking plate is investigated, also MHD and thermal radiation are considered. Through appropriate similarity transformations, the conservative equation of momentum and energy are altered into nonlinear ODEs. A bvp4c method via Matlab software is utilized to solve these equations. The entropy formation is calculated using the solutions of the flow constraints on temperature and velocity. The influence of numerous constraints for instance suction/injection, stretching/shrinking, magnetic parameter, thermal radiation, Prandtl number, temperature exponent parameter, and temperature ratio parameter on flow, temperature, and entropy formation have been deliberated in detail via graphical presentation. The skin friction and local Nusselt number for altered estimations of the physical constraints are also established for practical purposes. The figures show that the stretching/shrinking and magnetic parameter raises the entropy formation while declined the Bejan number.