Dusty Nanofluid Research Articles

Correction: Sachhin et al. Darcy–Brinkman Model for Ternary Dusty Nanofluid Flow across Stretching/Shrinking Surface with Suction/Injection. Fluids 2024, 9, 94

Figures: In Section 5, we aligned Figures 14–18 by consistently adding all the modelling parameters inside the labels [...]

Entropy generation analysis on hybrid dusty nanofluid flow over a heated stretching sheet: aerospace technology

Over the last few decades, many kinds of advanced substances that are acceptable for specific aerospace applications have been developed. An aircraft engine has a number of duties that are performed by kerosene oil. These responsibilities include oiling, air conditioning, servicing, preventing corrosion and reducing loudness. Maintenance is a matter of extreme importance. Without maintenance, it is only inevitable that any moving component might have the capacity to run away quickly. This project’s efforts are focused on reducing expenditures by extending the usable lifetimes of aviation components. Additionally, the initiative aims to improve fuel efficiency, load capacity and travel distance. The importance of the heat transfer investigation on MHD dusty hybrid nanofluid across a porous stretching sheet with entropy generation and thermal radiation is examined in the current research. We used the self-similarity transformation to transform the partial differential equation into ordinary differential equations. After applying transformations, for graphical purposes we have used the Bvp4c technique in MATLAB solver. The effect of active important parameters affecting the fluid’s capacity to transfer importance is shown in graphs and tables. For higher values of the magnetic field parameter, the velocity outline decreased, while the opposite nature was noticed in the energy profile. Based on our investigation, we found that mixed nanofluids are more effective in transferring energy carriers compared to dusty tiny fluids.

Application of central composite design (CCD)-response surface methodology (RSM) for optimization of heat transfer in dusty nanofluid flow with velocity slip

Background and Purpose The consequence of thermal radiation is scrutinized on the heat transport of Nano-diamond/silicon oil and silver/silicon oil nanofluids through a stretching endless plate. The single phase (Tiwari and Das) model is employed for nanofluid. The major objective of this study is to optimize the RSM-based Central composite design modeling to optimization of the heat transfer in dusty Oldroyd-B nanofluid across stretching surface. Additionally the velocity slip effect is considered. The dust particle phase is also taken into account. The significance of viscous dissipation, joule heating, inclined magnetic field with convective condition is investigated. Methodology The partial differential equations are developed under consideration, then transform to ODE’s by utilizing similarity tools. The transformed model of ODE’s is tackled numerically via bvp4c MATLAB tool with shooting algorithm. The effect of magnetic parameter, fluid interaction parameter, nanoparticle volume fraction, slip parameter and temperature interaction parameter on velocity field and temperature distribution of fluid phase and dust phase is investigated. Furthermore the Nusselt number on the wall is observed for interactive parameters of mass concentration of dust particles, fluid particles interaction parameter for velocity and unsteady parameters utilizing the face-centered Central Composite design (CCD) of the Response Surface Methodology (RSM). Additionally, Analysis of Variance (ANOVA) algorithm and 3D plots are utilized to examine the consequence of experimental design parameters via the response. The recommended model significance has been analyzed in conditions of correlation coefficient ( R 2 ), mean square error (MSE), root means square error (RMSE), prediction standard error to acknowledge the most excellent strong. Results The difference between the Predicted R2 of 0.9467 and the Adjusted R2 of 0.9867 is less than 0.2, which is assumed to be a reasonable concurrence. Furthermore results of the current analysis indicate that velocity gradient for nanofluid is diminishes for larger fluid particle interaction parameter for velocity, while the dust phase velocity is improved. The increment in Temperature gradients is observed via increasing values of the nanoparticle fraction and temperature base fluid particle interaction parameter. From the results it is concluded that skin friction coefficient is reduced with larger magnetic parameter for both mono nanofluids. Furthermore the heat transfer rate is increased by increasing the thermal radiation parameter for both mono nanofluids. It is concluded that silver/silicon oil nanofluid play a higher role in heat transportation as compare to Nano-diamond/silicon oil.

Enhanced heat transfer in viscoelastic fluids with periodic magnetic fields and dusty nanoparticles between two parallel plates under thermal radiation

Exploring the intricate relationship between periodic magnetic fields and dusty nanofluids within one-dimensional, unidirectional frameworks shows great potential for advancing precise control within microfluidic devices and bolstering heat transfer efficiency in nanotechnology realms. In this study, we delve into the impact of heat transfer and periodic magnetic fields on viscoelastic nanofluids laden with dust particles, confined between two parallel plates. The flow dynamics are instigated by buoyancy forces, with due consideration given to heat transfer phenomena. Employing partial differential equations, we model the flow behavior, and through the application of the Poincaré-Light Hill Technique, we attain exact solutions. Graphical representations elucidate the temperature and velocity profiles, revealing the nuanced influences of various parameters. Utilizing Mathcad-15, we generate visual depictions of the fluid and dust particle distributions. Furthermore, our analysis delves into critical fluid attributes vital for engineering applications, including skin friction and heat transfer rates, which are comprehensively examined and tabulated. This encompasses the evaluation of heat transfer rates at the wedge surface, alongside the resultant influence on surface viscous drag forces. Our findings indicate that magnetic parameters induce reductions in both base fluid and dusty particle velocities, alongside the emergence of periodic motion under the influence of periodic magnetic fields. Periodic magnetic fields generate electrical power in induction generators widely used in wind turbines, hydroelectric power plants, and other renewable energy sources.

Darcy–Brinkman model for Boussinesq–Stokes suspension tetra dusty nanofluid flow over stretching/shrinking sheet with suction/injection

This study examines the Darcy–Brinkman model for 2-D magnetohydrodynamic fluid flow across porous stretching/shrinking surfaces. We consider water as a traditional base fluid in which the Al2O3, Silver (Ag), Titanium dioxide (TiO2 ), and Gold (Au) nanoparticles are submerged in preparation of a tetra-dusty nanofluid. The novelty of the present problem is to examine the influence of Boussinesq-Stokes suspension tetra dusty nanofluid flow with the Darcy–Brinkman model. The governing nonlinear partial differential equations are transferred to a set of ordinary differential equations through suitable similarity conversions. The methodology, the governing equations of fluid and dusty phases is transformed into nonlinear ODEs using similarity transformations. The findings demonstrate that the tetra nanofluid phase heat and mass transpiration performance is greater compared to the dusty phase. Developing tetra dusty nanofluid has significantly upsurged the heat transmission for manufacturing with numerous applications in engineering, biological, and physical sciences.

Significance of quadratic density variation on the heat transport phenomena in Careau dusty fluid subject to Lorentz force via stretching surface

The two-dimensional boundary layer of steady mixed convective magnetohydrodynamic Carreau dusty fluid flow across a stretched sheet was investigated in this study. The primary focus of this study is to examine the impact of Carreau nanofluid on dusty flow dynamics in the presence of the Lorentz force. The partial differential equations governing the fluid flow, temperature, and concentration fields for both the fluid and dust phases are transformed into ordinary differential equations using an appropriate set of similarity transformations. Numerical outcomes are acquired employing the Runge–Kutta technique combined with the shooting method, implemented on the MATLAB platform. The numerical outcomes are compared to previous research and confirmed to be in very good accord. Finally, the impacts of relevant factors of physical and technical importance on flow and thermal transport characteristics are visually and tabulated. The results for the linear density and the quadratic density profile, it is noted that the linear density decreases compared to the quadratic density for velocity, but the opposite behavior is observed for temperature profile. The advancement of dusty nanofluids has resulted in significant enhancements in the heat transfer mechanism, which finds application in manufacturing, industry, and nanotechnology research. Research on dusty flows benefits on is beneficial in air pollution studies, dust entrainment in a cloud formed during a nuclear, vehicle emissions of smoke and other pollutants, crude oil purification, petroleum production, combustion, industrial effluent emissions, capillary blood flow, paint sparing, and, more.

The significant role of Darcy–Forchhiemer with integrated hybrid nanoparticles (Graphene and TiO 2) on dusty nanofluid flow subjected to heat conduction

The thermal analysis of two-phase models that deal with the fluid and dusty phases has been considered. This study instigates the flow of a non-miscible, dusty hybrid nanofluid over a stretching cylinder with Darcy–Forchheimer permeability in the presence of thermal radiation. The mathematical model is based on the single-phase nanofluid model, which features modified thermophysical characteristics. This innovative flow model explores how important it is to enhance the concentration of dust particles in fluid dynamics. Hybrid nanoparticles are substituted for nanoparticles in a conventional case to accelerate the heat transfer rate of the fluid. Therefore, in this study, the magnetohydrodynamic flow of hybrid nanofluids and heat transfer of non-Newtonian dusty fluids with suspensions of hybrid nanoparticles have been examined. The appropriate dimensionless variables are used to convert the governing periodic model into a non-dimensional form. The finite-difference-based bvp5c algorithm is used through Matlab for numerical analysis of the set of obtained ordinary differential equations. The graphs explored the influences of relatable factors over the profiles of mass, heat, and velocity transfers. It is observed that with intensifying values of Eckert number (Ec) and Biot number (Bi), the temperature of both phases increased at a significant level, and the velocity decreased with increasing intensity of the magnetic field. The computational results of velocity, core temperature, and intensity dispersion are significant for both aspects. Furthermore, it is observed that both the fluid and dust phases exhibit declining behavior as a result of the impact of porosity, mass concentration, and magnetism on the flow stream. Moreover, it is noticed that both the dust phase temperature θ p ( η ) and fluid phase temperature θ ( η ) intensified with the high intensity of magnetic field and thermal radiation. The missile nozzles, nuclear power plants for aerospace and gaseous-core nuclear rocket systems, and the radiation are considered for evaluating heating significance.

Darcy–Brinkman Model for Ternary Dusty Nanofluid Flow across Stretching/Shrinking Surface with Suction/Injection

Understanding of dusty fluids for different Brinkman numbers in porous media is limited. This study examines the Darcy–Brinkman model for two-dimensional magneto-hydrodynamic fluid flow across permeable stretching/shrinking surfaces with heat transfer. Water was considered as a conventional base fluid in which the copper (Cu), silver (Ag), and titanium dioxide (TiO2) nanoparticles were submerged in a preparation of a ternary dusty nanofluid. The governing nonlinear partial differential equations are converted to ordinary differential equations through suitable similarity conversions. Under radiation and mass transpiration, analytical solutions for stretching sheets/shrinking sheets are obtained. Several parameters are investigated, including the magnetic field, Darcy–Brinkman model, solution domain, and inverse Darcy number. The outcomes of the present article reveal that increasing the Brinkman number and inverse Darcy number decreases the velocity of the fluid and dusty phase. Increasing the magnetic field decreases the momentum of the boundary layer. Ternary dusty nanofluids have significantly improved the heat transmission process for manufacturing with applications in engineering, and biological and physical sciences. The findings of this study demonstrate that the ternary nanofluid phase’s heat and mass transpiration performance is better than the dusty phase’s performance.

Viscoelastic Dusty Nanofluids containing Nanodiamond in a Rotating Porous Channel

Viscoelastic Dusty Nanofluids containing Nanodiamond in a Rotating Porous Channel

Dusty non-Newtonian nanofluid flow along a stretching curved sheet via chemically reactive and heat source/sink imapct: Two-phase model

The momentousness of studying the similar solution of MHD flow along a curved stretching surface of non-Newtonian Casson nanofluids with suspended dust particles is due to stretching curved sheets applications across various industries and disciplines, additionally potential applications of dusty nanofluid in various fields. chemical reaction factor is tested in addition to sink and heat sources in the thermal boundary layer. The transformed equations (ODE) are obtained with the help of appropriate similarity variables to facilitate numerical processing. The numerical treatment of the reduced equations is performed employing a numerical technique known as MATLAB function bvp4c to solve our problem equations with the help of the Runge–Kutta method of fourth order. This investigation yields significant conclusions, one of which is that sphere-shaped dust particles in suspension cause the velocity to decrease. That is, the movement declines with the increase in the concentration of dust particles in the fluid. The dust phase’s speed drops, whereas the fluid phase velocity boosts with the curvature factor. Furthermore, the terms skin-friction and the numbers of Nusselt Nus and Sherwood Shs were verified and argued numerically as we found that the Non-Newtonian Casson parameter supports skin-friction. In addition, the liquid–particle interaction factor for temperature increases Nus, and Shs improves with the liquid–particle interaction factor for concentration. The curved stretching surface is recently used in this research to investigate the movement of the boundary layer, as well as the mass and heat transformation properties of a non-Newtonian nano liquid containing spherical dust particles.

An exact solution for unsteady three-dimensional magnetohydrodynamic Casson flow of dusty nanofluid over a porous stretching sheet

The unsteady three-dimensional (3D) Casson flow of a nanofluid containing dust particles over a porous, linearly stretching sheet in the presence of an external magnetic field is studied. It is assumed that the sheet is stretched in both directions along the xy plane. The governing equations of the two-phase model are partial differential equations that are transformed into ordinary equations using similarity transforms. The nanofluid is a suspension of water-based nanoparticles. In this study, we look at how nanoparticle size affect the properties of dusty nanofluid flow. The mathematical model contains the basic equations for the fluid and dust phases in the form of three-dimensional partial differential equations, which are transformed into dimensionless ordinary-dimensional equations using an appropriate similarity transformation. An exact analytical solution to this boundary value problem is obtained. The effects of various physical values on dust and nanofluid velocities are discussed in detail, including the Casson parameter, magnetic parameter, porosity parameter, fluid-particle interaction parameter, mass concentration of dust particles, and nanoparticle size. In a few specific instances, the current analytical solution demonstrates a good agreement with previously published numerical investigations.

A numerical approach to two phase Marangoni convection hydromagnetic flow of dusty nanofluids

The aim of the present work is to discuss the effects of magnetohydrodynamic (MHD) Marangoni convection flow of dusty TiO2 + H2O nanofluid past a flat surface. A two phase dusty nanofluid model is considered. The transformed dimensionless equations are solved numerically by 4thorder RK method together along with shooting technique. The outcomes of the current investigation are thatthe volume fraction, magnetic parameter and dust particle concentration parameter contribute decelerated motion. Dust particle concentration parameter plays a prime role in controlling the two-phase flow fields. Further, rise in magnetic parameter from 0.5 to 3 emaciates the heat transfer rate (HTR) by 18.45% while that of thermal dust parameter from 1.2 to 3.6 ameliorates HTR by 14 %.

An impact of radiation on laminar flow of dusty ternary nanofluid over porous stretching/shrinking sheet with mass transpiration

The goal of current research is to determine the laminar boundary layer problem for the two-dimensional flow of ternary dusty nanoparticles through a porous stretching/shrinking sheet in the presence of radiation and mass transpiration. Generalized partial differential equations are converted to nonlinear ordinary differential equations after demonstrating an appropriate similarity transformation. Exact solutions are subsequently provided for the resulting system of equations. The development of ternary dusty nanofluids has significantly improved the heat transmission process for manufacturing and industrial applications, as well as in nanotechnology research. The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed in detail through plotted graphs. It was found that the basic similarity equations admit two phases for both stretching/shrinking surfaces. Graphs are used to illustrate the findings of this work. We found that the velocity fields increase with an increase in the inverse Darcy number value for the case stretching sheet while opposite effects can be observed in the shrinking case. Moreover, the magnitude of particle interaction parameter enhances as the solution domain raises. The findings disclose that the performance of ternary nanofluid phase heat transfer is improved compared to dusty phase performance.

Analysis of a Two-Phase MHD Free Convection Generalized Water–Ethylene Glycol (50 : 50) Dusty Brinkman-Type Nanofluid Pass through Microchannel

The water–ethylene glycol (50 : 50) nanofluid has applications in the manufacture of polyester as a raw agent, air conditioning systems, antifreeze formulation, dehydrating agents in the gas industry, a precursor in the plastic industry, and convective heat transfer. These developments in nanotechnology and nanoscience have caught the interest of several researchers. Because it keeps machines and engines cool by reducing friction between their different parts, grease is a vital part of many machinery and engines. Also, due to the extensive use of fractional derivatives, this work seeks to evaluate the combined impacts of free convection flow and heat transfer, magnetic field, and Brinkman-type water–ethylene glycol (50 : 50) dusty nanofluid among microchannel. The flow that the buoyant force provides helps to carry heat naturally via convection. While the left plate moves at a consistent velocity and the right plate stays stationary, the fluid is also evenly dispersed with all dust particles that have a spherical form. Partial differential equations (PDE) are used to present the mathematical modeling. The resultant PDEs are generalized by utilizing the Caputo–Fabrizio fractional derivative. The problem’s closed-form solution is produced by combining a Laplace transformation with a finite sine Fourier transformation. It has also been studied that temperature, Brinkman nanofluid, and dust particle velocity relate to a variety of other factors, such as the magnetic parameter, Grashof number, dusty fluid parameter, and volume friction parameter. The graphical outcomes for the dusty fluid, Brinkman nanofluid, and temperature profiles are plotted using Mathcad-15. The Brinkman nanofluid and dusty fluid behave similarly for a variety of embedded factors. It is found that compared to the traditional one, the fractional dusty nanofluid model displays more realistic characteristics. The addition of nanoparticles in water–ethylene glycol (50 : 50) dusty nanofluid enhances the rate of heat transfer up to 41.04478% by increasing their volume fractional.

Exponential space-based heat source on Sakiadis flow of a dusty nanofluid using KKL model useful in solar radiation

The emission of solar energy is one of the greatest challenges due to its global impact nowadays. Further, the improved heat transport properties of the nanofluids have also important aspects in industries as well as engineering equipment and any others. Therefore, the present analysis motivates the enhancement in the heat transport enrichment of Sakiadis nanofluid by imposing Koo–Kleinstreuer–Li (KKL) model conductivity along with dusty CuO nanoparticles in water. Dust particles in conjunction with the magnetic effect and the radiative heat explore its greater role in the enhancement of the heat transport phenomena. Suitable transformation is proposed for the governing equations to get its non-dimensional form with significant parameters to characterize the flow properties. Moreover, numerical treatment using Runge–Kutta shooting is a good approach to handle the complex nonlinear system equipped with nanofluid phase and dusty phase liquids. Several factors impacting the flow phenomena have been examined graphically. In careful observation, it reveals that the augmented thermal radiation along with the heat source encourages the nanofluid phase temperature but the reverse impact is rendered in the dust phase.

Melting phenomenon in the flow of dusty nanofluid over a stretching sheet in the presence of single walled carbon nanotubes

The present research is based on the thermal and flow properties of the dusty liquid past a stretching sheet. Further, the liquid flow is embedded with Methanol base fluid suspended by single walled carbon nanotubes as nanoparticles. To crack the current mathematical model problem, the numerical Runge-Kutta-Fehlberg fourth-fifth order method was used. With the aid of graphs, the effect of physical parameters on the fluid flow and thermal profile were discussed. To achieve the most accurate results, the correct initial assumptions and several non-dimensional parameter values are carefully chosen and well-adjusted. Results reveal that, the rise in values of temperature interaction parameter improves the fluid phase heat transfer but declines the dust phase heat transport. The increase in melting parameter values improves the both fluid and dust phase heat transport. The fluid phase thermal distribution drops faster than dust phase heat transfer for growing values of gamma. The growth in values of melting parameter drops the rate of heat transport.

Influence of radiative heat on MHD Cu-Si/water dusty-nanoliquid flow above an enlarging sheet

This study shows the impact of radiative heat transfer in unsteady hydromagnetic dusty nanofluid flow in the existence of a volume portion of nano/dust particles. The base fluid is water embedded with Cu (copper) and Si (silicon) nanoparticles. The modeled physical problem is converted into nonlinear ordinary differential equations using similarity variables and resolved using the bvp5c Matlab package. The results are investigated for Copper and Silicon-water dusty nanofluids, and simultaneous solutions are exhibited for liquid and dust phases. The wall resistance coefficient and the heat transmission rate are computed. The result shows that simultaneous results occurred for fluid and dust phases; flow and energy frontier layers are uneven for these phases. We found that the heat transfer performance of the Silicon-water dust nanoliquid is better than the Copper-water dust nanoliquid.

The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface

This work aims to offer a mathematical model for two-phase flow that investigates the interaction of Casson nanofluid and dust particles across a stretching surface. MHD Darcy–Forchheimer porous medium and Fourier’s law through Cattaneo–Christove thermal flux are also considered. The governing equations for the two phases model are partial differential equations later transmuted into ordinary ones via similarity transforms. The Runge–Kutta method with the shooting tool is utilized numerically to solve the boundary layer equations computed in MATLAB to obtain numerical results for various pertinent parameters. The numerical outcomes of momentum, temperature, and concentration distribution are visible for both phases. The results of the skin friction, heat transfer coefficients, and the Sherwood number are also visible in the graphs. Furthermore, by comparing the current findings to the existing literature, the validity of the results is confirmed and found to be in good agreement. The fluid velocity is reduced against increasing strength of Casson fluid parameter, enhanced the fluid phase and dust phase fluid temperature. The temperature declines against the growing values of the relaxation time parameter in both phases. Dusty fluids are used in various engineering and manufacturing sectors, including petroleum transportation, car smoke emissions, power plant pipes, and caustic granules in mining.

3D MHD dusty nanofluid flow within cubic heterogeneous porous enclosures with hot and cold cylinders using non-homogeneous nanofluid model

The heterogeneity of the porous medium properties is an important topic due to the important wide practical applications in the reservoir rocks and the petroleum reservoirs. This study aims to examine both the heterogeneity of the permeability, thermal conductivity and the nanofluid model on the dusty nanofluid within a three-dimensional cubic container. The convective transport is due to the buoyancy–driven flow resulting from two inner hot/cold cylinders separated by variable distance [Formula: see text]. The nanofluids are simulated by a non-homogeneous two phase model and the impact of a constant magnetic field in Z -direction is considered. Two systems of the governing equations are introduced for the dusty and nanofluid phase and the boundary conditions for the nanoparticle function are passively controlled. The major findings revealed that the flow structures can be well-controlled using the distance between the inner cylinders. Also, the heterogeneity in [Formula: see text] plane gives a higher rate of the heat transfer. Furthermore, the maximizing of the dusty parameter is better for enhancing the dusty temperature and velocities.

Impact of newtonian heating on dusty nanofluid flow over a riga plate embedded in porous medium

Impact of newtonian heating on dusty nanofluid flow over a riga plate embedded in porous medium