Dusty Nanofluid Research Articles

Dusty nanofluid flow with bioconvection past a vertical stretching surface

The problem of two phase bio-convective nano fluid flow past a vertical stretching flat surface in presence of volume fraction of the dust particles has been investigated. Governing partial differential equations of the problem for both fluid and dust phases are transformed into ordinary differential equations using suitable similarity transformations. The resulting non-linear differential equations are solved numerically using MATLAB built-in bvp4c solver scheme. The velocity, temperature of fluid motion and concentration of micro-organisms are presented graphically for various flow parameters. Coefficient of local skin friction, local Nusselt number and local density number of the micro-organisms are calculated and presented in tables for various parameters.

Dynamics of dust particles in a conducting dusty nanomaterials: A computational approach

Subject introduced in the present analysis is the role of dust particles in a conducting dusty nanofluid, past a stretching surface. Thermal conductivity which affects the nanofluid heat transfer is conducted by a suitable model known as Maxwell model. Both the dust and nano particles considered here are spherical. The entire flow phenomena i.e. the momentum and energy is characterizes by taking cupper- and silver- nano particles. The nonlinear fluid phase and dust phase governing equations are transformed to ordinary differential equation with the suitable choice of transformed variables which arises the characterizing parameters for the flow phenomena. Solutions of the coupled ODEs are performed numerically. The role of nanoparticle volume fraction and number density of dust particle along with magnetic field are also important for the heat transfer. The influence of parameters such as dust particle mass concentration, fluid particle interaction parameter, Eckert number, effective specific heat parameter, on momentum and heat profiles are presented through graphs. Verification of current study is obtained by comparing with the earlier study in particular cases and found to be in good agreement

Numerical simulation of natural convection of dusty nanofluids within a curve-shaped enclosure

The current research expounds the numerical simulation of a two phase dusty nanofluid flow in a curve-shaped enclosure surrounded by three straight walls and a curved wall. The flow is generated in the enclosure because of the buoyancy force due to the heated lower curved wall. An apt variable transform that transfigures the curve-shaped domain into a rectangular domain is introduced in this study. The governing equations for the nanofluid phase and the dusty phase in transformed coordinates are solved by incorporating a finite difference technique with a successive over-relaxation method. The requisite results to analyze the flow and heat transfer are blazoned for physically significant parameters, namely, the nanoparticles’ volume fraction, the Rayleigh number, the amplitude, the density ratio, and the dusty parameter. The results assert that the flow strength can be decreased slightly by increasing the nanoparticles’ volume fraction and the amplitude but can be increased notably by incrementing the Rayleigh number. Besides, heat transfer can be enhanced about 4.33% at the lower wall and about 5.13% at the upper wall by incrementing the nanoparticles’ volume fraction 4% for the Rayleigh number 105. Moreover, the increment in the Rayleigh number and decrement in the density ratio and the dusty parameter can augment the heat transfer rate.

Natural convection of dusty nanofluids within a concentric annulus

This study expounds the numerical simulation of two-phase dusty nanofluid flow in an annulus surrounded by two concentric cylinders. The flow is generated in the annulus because of the temperature difference between the heated inner wall and cold outer wall. An appropriate variable transform which transfigures the annular domain into a rectangular one is introduced in this study. The governing equations for the nanofluid phase and dusty phase in transformed coordinates are solved by employing finite difference technique. The momentous results to analyze the flow and heat transfer are blazoned for physically significant parameters, namely, the nanoparticles volume fraction, the Rayleigh number, the aspect ratio, the density ratio and the dusty parameter. Results establish that the flow strength can be increased by incrementing the nanoparticles volume fraction, the Rayleigh number and the aspect ratio. Besides, heat transfer can be enhanced at the both walls by incrementing the nanoparticles volume fraction and the Rayleigh number and can be diminished by incrementing the density ratio and the dusty parameter.

Transport Properties on Mixed Bioconvection Flow of Non-Newtonian Dusty Nanofluid with Nonlinear Radiation by a Moving Wedge

A numerical handling is executed on a dusty non-Newtonian fluid with a suspension of nanoparticles along a moving wedge. Via the impacts of Brownian motion and thermophoresis, heat and mass transfer properties are recognized. Nonlinear ODE are generated from the presence of appropriate transformations applied to the governing fundamental PDE. The numerical treatment of these mutated equations is performed utilizing the Runge-Kutta method of fourth-order. From this investigation, significant results acquired that the local Nuslet number decline with an increase of variable thermal conductivity parameter. The variable viscosity parameter tends to improve the velocity profiles for both the fluid phase and the dust phase. Addendum to this a shrinkin occurs to the temperature profiles induced from increasing mass concentration of the dust particles while supports with nonlinear thermal radiation parameter. Variable transport properties are assumed to depend on the concentration and denoted as variable viscosity, variable thermal conductivity, variable mass diffusivit and variable microorganisms diffusivity parameters. Consequence of the quantitative comparison between the current and previous numerical computations points out a superb agreement.

Entropy analysis of a hydromagnetic micropolar dusty carbon NTs-kerosene nanofluid with heat generation: Darcy–Forchheimer scheme

The current paper on carbon nanotubes suspended magnetohydrodynamics micropolar dusty nanofluid impinging on a permeable extending sheet placed in a porous regime. The Darcy–Forchheimer scheme with heat source/sink and thermal radiation is taken into account. The shooting method is instrumental for obtaining numerical solutions of the transformed-converted system of nonlinear equations. The prescribed surface temperature (PST) and prescribed heat flux (PHF) boundary conditions are used. The impact of governing parameters on velocity, temperature, skin friction coefficient, Nusselt number, entropy generation rate and Bejan number are incorporated. The significant outcomes of the current investigation are that increment in the suction parameter decline the flow velocity and temperature (for both PST and PHF cases) while the injection uplift them. An enhancement in magnetic strength, the skin friction and heat transfer rate show the opposite trend for both SWCNT and MWCNT. Bejan number is increasing with the increase in nanoparticle volume fraction $$\phi$$ for both SWCNT and MWCNT.

Dusty Nanofluid Past a Centrifugally Stretching Surface

This communication reports, the flow of Cu-water dusty nanofluid past a centrifugally stretching surface under the effect of second order slip and convective boundary conditions. The coupled nonlinear ordinary differential equations are get hold of from the partial differential equations which are derived from the conservation of momentum and energy of both nanofluid and dusty phases. Then, using apt resemblance transformation these ordinary differential equations were altered into a dimensionless form and then solved by bvp5c solver in Matlab software. The variation in velocity and temperature profiles of fluid and dusty phases for different parameters are thrash out in depth by figures and tables. The outcomes exhibit that the velocity profile of both fluid and dusty phases boot as the values of the dust particle volume fraction parameter is enlarged. Besides, the magnetic field parameter has similar effect on the velocity profile of both fluid and dusty phases. Also, the results illustrated that temperature profile of both Cu-water nanofluid and dusty particle phases are improved within an enhancement in the values of the temperature relaxation parameter, Cu-particle volume fraction, and Biot number. The results also confirm that for greater values of the magnetic field parameter the values of skin friction coefficient are enlarged for all values of the velocity ratio parameter.

Peristaltic Flow of Dusty Nanofluids in Curved Channels

In this paper, numerical investigations for peristaltic motion of dusty nanofluids in a curved channel are performed. Two systems of partial differential equations are presented for the nanofluid and dusty phases and then the approximations of the long wave length and low Reynolds number are applied. The physical domain is transformed to a rectangular computational model using suitable grid transformations. The resulting systems are solved numerically using shooting method and mathematical forms for the pressure distributions are introduced. The controlling parameters in this study are the thermal buoyancy parameter Gr, the concentration buoyancy parameter Gc, the amplitude ratio ϵ, the Eckert number Ec, the thermophoresis parameter Nt and the Brownian motion parameter Nb and the dusty parameters Ds, αs. The obtained results revealed that an increase in the Eckert number enhances the temperature of the fluid and dusty particles while the nanoparticle volume fraction is reduced. Also, both of the temperature and nanoparticles volume fraction are supported by the growing of the Brownian motion parameter.

Numerical Simulation of 3D Condensation Nanofluid Film Flow with Carbon Nanotubes on an Inclined Rotating Disk

Here, we discuss three-dimensional dusty nanofluid thin film flow with nonlinear thermal radiation, where carbon nanotubes flow past an inclined rotating disk with a constant angular velocity of Ω. This novel mathematical model is unique and is discussed here for the first time. Downward draining flow and lateral flow arise due to inclination. The demonstrated geometry is characterized in terms of time-independent continuity, momentum, and energy balance. Similarity transformations convert the partial differential equation into a system of ordinary differential equations. The obtained equations are analyzed numerically using the bvp4c MATLAB function. The thermal field of the dust phase was smaller than that of the nanofluid phase, and this difference was exacerbated by increasing the thermal radiation. To validate the model presented here, it is compared to a previous model; the models showed high concordance.

Numerical computation on Marangoni convective flow of two‐phase MHD dusty nanofluids under Brownian motion and thermophoresis effects

AbstractThe current theoretical study describes the Marangoni thermal convective flow of magnetohydrodynamic dusty nanofluids along a wavy vertical surface. The two‐phase mathematical model is developed under the influence of thermal radiation and exponentially varying space‐dependent heat source. Pure and hybrid nanoparticles together with dust particle suspension in the base fluid are taken into consideration to characterize the behavior of the flow. Brownian motion and thermophoresis mechanisms are considered, since it enhances the convection features of dusty nanofluid. Appropriate transformations are adopted to modify the flow governing equations and boundary conditions to dimensionless form. The forward finite difference scheme is implemented to illustrate the resultant coupled partial differential equations. The Newton quasi‐linearization technique is utilized to reduce the nonlinear system into a linear form, which is solved thereafter by Thomas algorithm. The responses of velocity, temperature, concentration, friction factor, and heat and mass transfer rate profiles with various governing parameters are discussed and portrayed graphically. The study evidences that the radiation and space‐dependent heat generating parameters strengthen the temperature distribution. Also, the heat transfer rate appreciably rises with the increment in Marangoni convection. The solution methodology and accuracy of the model is validated by generating the earlier outcomes for nonradiating nanofluid flow without heat source/sink.

Dusty flow with different water based nanoparticles along a paraboloid revolution: thermal analysis

The thermal analysis on hydromagnetic two-dimensional flow of dusty nano fluid along an upper horizontal surface of paraboloid revolution have been scrutinized. The governing flow are derived under the assumptions of Boussinesq’s boundary layer approximation theory. The effects of Cattaneo-Christov heat flux, variable thermal conductivity, joule heating and viscous dissipation are incorporated in the energy equation. The governing PDE’s for the flow and energy transfer for both the phases are transformed into ODE’S by employing the suitable similarity transformations. The final dimensionless governing coupled ordinary differential equations are resolved with the aid of bvp5c procedure in computational Matlab software. The effects of dimensionless governing controlled flow parameters on velocity, micropolar velocity, and temperature profiles for both the phases are reported and discussed elaborately through plots and tables. The emerging three nanoparticles namely gold, silver and platinum ($$Au,Ag$$ and $$Pt$$) are considered throughout graphical analysis along with $$H_{2} O$$ is used as a base liquid. It is revealed that the flow velocity declined for strengthen of the applied magneticfield. It is worthy note that the larger values of thermal relaxation parameter $$\gamma$$ declines the fluid temperature for both phases. Also, the rate of heat transfer is an increasing function to the escalating values of variable thermal conductivity $$\varepsilon$$, while it is reverse trend for the thermal relaxation parameter $$\gamma$$. The observations exhibit the prominent features in the field of an advanced bio-medical and thermal engineering.

Comparative study of SiO2 and TiO2 nanoparticles on flow and heat transfer of dusty fluid over a stretching sheet

PurposeThe purpose of this paper is to model the boundary layer flow and heat transfer of dusty fluid with suspended nanoparticles over a stretching surface. The effect of multiple slip and nonlinear thermal radiation is taken into the account. Adequate similarity transformations are used to obtain a set of nonlinear ordinary differential equations to govern formulated problem. The resultant non-dimensionalized boundary value problem is solved numerically using the RKF-45 method. The profiles for velocity and temperature, which are controlled by thermophysical parameters, are presented graphically. Based on these plots, the conclusion is given and the obtained numerical results are tabulated. Observed interesting fact is that the SiO2-water nanoparticles show a thicker thermal boundary layer than TiO2-water nanoparticles.Design/methodology/approachThe governing partial differential equations are approximated to a system of nonlinear ordinary differential equations by using suitable similarity transformations. An effective fourth–fifth-order Runge–Kutta–Fehlberg integration scheme numerically solves these equations along with a shooting technique. The effects of various pertinent parameters on the flow and heat transfer are examined.FindingsPresent results have an excellent agreement with previous published results in the limiting cases. The values of skin friction and wall temperature for different governing parameters are also tabulated. It is demonstrated that the SiO2-water nanoparticles show a thicker thermal boundary layer than TiO2-water nanoparticles. It is interesting to note that the dusty nanofluids are found to have higher thermal conductivity.Originality/valueThis paper is a new work related to comparative study of TiO2 and SiO2 nanoparticles in heat transfer of dusty fluid flow.

Flow of Fe3O4 nanofluid with dust and nanoparticles

Here, mixed convective flow of dusty nanofluid is addressed. Flow is generated by linear stretching sheet. Flow in porous space is examined. Heat transfer characteristics are studied via nonlinear thermal radiation and heat source/sink. Nanofluid comprises iron oxide nanoparticles and water embedded with micro-sized dust particles. Optimal homotopy algorithm leads to solution computations. Convergence analysis is explicitly identified and the concept of minimization is employed by defining average square residual errors. Velocity and temperature profiles are conducted. For both dust and fluid phase of dusty nanofluid, the results for varying parameters are plotted and argued in details. Magnitude of coefficient of skin friction and rate of heat transfer are discussed. It is noted that volume fraction of magnetite nanoparticles reduces for fluid and dust phases. The key observation from present study is that heat transfer rate reduces for both fluid and dust phases.

Natural nonlinear convection of dusty fluid in a suspension of multi-wall carbon nanotubes nanoparticles with different temperature of water and suction

This study addresses the nonlinear free convective flow of a conducting dusty nanofluid (multi wall carbon nanotubes + water + micrometer sized dust particles) over a stretched cylinder at different temperatures (10 °C and 50 °C) in the presence of Cattaneo–Christov heat flux, heat source. The mainly arising equations of motion such as continuity, momentum and energy are simplified with the suitable dimensionless variables and solved numerically using the Runge–Kutta method. A numerical simulation is executed with inclusion of multi-wall carbon nanoparticles and dust particles into different temperatures (10 °C and 50 °C) of base fluid water. Calculations for the wall friction coefficient and Nusselt number are carried out and demonstrated in tables. To authenticate the attained results we have offered the comparison with the already published results. A few graphical pictures are plotted to scrutinize the physical insight of the numerically modeled problem for the several flow parameters and found that the multi-walled carbon nanotubes + water at 10 °C dusty nanofluid shows better heat and mass transfer rate compared to temperature at 50 °C. Due to nonlinear convection the friction factor is reduced in the presence of the magnetic field. The Biot number encourages the wall friction, heat and mass transfer rates of both cases.

Numerical Investigation on Convective Flow of Two-Phase MHD Dusty Nanofluids over a Wavy Surface with Brownian Motion and Thermophoresis Effects

The emergence of dusty nanofluids as a area of nanoscale heat transfer in fluids is directly correlated to miniaturization trends and nano technology. So, the prime focus of this analyzation is to describe the model of heat and mass transfer phenomenons of two-phase magnetohydrodynamic dusty nanofluids over a vertical sinusoidal wavy surface. The significances of Brownian motion and thermophoresis effects have been considered in the model. The three various nanofluids namely Aluminium oxide ( $$\hbox {Al}_2\hbox {O}_3$$ )-water, Copper (Cu)-water and Titanium oxide ( $$\hbox {TiO}_2$$ )-water immersed with conducting dust particles are taken into consideration for flow analysis. Novel governing equations involving conservation of momentum, mass and thermal energy are subjected to irregular region and converted into non-dimensional form. The resultant equations are numerically approached by developing a finite difference technique with Newton’s quasilinearization method using mathematical software MATLAB. Dynamic characteristics of the flow with the effect of physical parameters associated with velocity, temperature and concentration distributions are interpreted through graphs to get some physical view into the flow patterns. Also, skin-friction coefficient, heat and mass transfer rate are calculated at the boundaries and the outcomes obtained are compared with existing literature.

Effectiveness of Hall current and exponential heat source on unsteady heat transport of dusty TiO2-EO nanoliquid with nonlinear radiative heat

Abstract The problem of exponential heat source across a flowing nanofluid (TiO2-EO; titanium oxide-Engine oil) containing tiny dust particles on a deformable planar plate has been an open question in meteorology. In this paper, the boundary layer transient two-phase flow of dusty nanoliquid on an isothermal plate which is deforming with time-dependent velocity in the presence of exponential heat source is studied. The impacts of Hall current, nonlinear radiative heat and an irregular heat source (temperature based heat source and exponential space-based heat source) are also accounted. Dusty nanofluid is the composition of dust particles and nanoliquid (TiO2-EO). Using relevant transformations, the system of PDEs is rehabilitated to the system of ODEs and then treated numerically. Exploration of the impacts of pertinent parameters on velocity and temperature fields is performed via graphical illustrations. Numeric data for skin friction factor and the Nusselt number is presented and their characteristics are analyzed/quantified through the slope of linear regression via data points. Highlights Boundary layer flow of dusty nanoliquid past a isothermal plate is studied. Impacts of Hall current and irregular heat source are also accounted. Role of physical parameters are focused in momentum and heat transport distributions. Numeric data for skin friction factor and the Nusselt number is presented.

Impact of Volume Fraction and Hall Effect on Two-Phase Radiative Dusty Nanofluid Flow Over a Stretching Sheet

The behavior of electrically conducting dusty nanofluid through a stretching surface with Hall effect has been investigated through an innovative approach. Impacts of thermal radiation and heat generation/absorption are further considered for current analysis. The nanoparticles are transporter fluid and dust particles are adjourned in it. Radiative term has been involved in energy equation The fluid flow problem has been governed by Partial differential equations and transformed into ordinary ones by means of proper similarity variables. The obtained nonlinear ordinary differential equations system is then tackled homotopy analysis technique. The properties of developing factors are deliberated through diagrams and tables, and talked about in detail. The volume fraction of the dust particles, magnetic field, and mass concentration of the dust particle reduced the axial velocity while the increased Hall parameter increased the axial velocity. The temperature is increased with increased volume fraction of the dust particles.

Biot number effect on MHD flow and heat transfer of nanofluid with suspended dust particles in the presence of nonlinear thermal radiation and non-uniform heat source/sink

This paper considers the problem of steady, boundary layer flow and heat transfer of dusty nanofluid over a stretching surface in the presence of non-uniform heat source/sink and nonlinear thermal radiation with Biot number effect. The base fluid (water) is considered with silver (Ag) nanoparticles along with suspended dust particles. The governing equations in partial form are reduced to a system of non-linear ordinary differential equations using suitable similarity transformations. An effective Runge–Kutta–Fehlberg fourth-fifth order method along with shooting technique is used for the solution. The effects of flow parameters such as nanofluid interaction parameter, magnetic parameter, solid volume fraction parameter, Prandtl number, heat source/sink parameters, radiation parameter, temperature ratio parameter and Biot number on the flow field and heat-transfer characteristics were obtained and are tabulated. Useful discussions were carried out with the help of plotted graphs and tables. Under the limiting cases, comparison with the existing results was made and found to be in good agreement.

Modified Fourier heat flux on MHD flow over stretched cylinder filled with dust, Graphene and silver nanoparticles

Abstract A Comprehensive study on laminar, magnetohydrodynamic (MHD) boundary layer flow of nanofluid (water + Silver, water + Graphene) embedded with conducting micrometer sized dust particles over a stretching cylinder with the incorporation of Cattaneo-Christov heat flux model is conducted. Appropriate similarity variables are employed to the flow governing equations and the resulting ordinary differential equations are solved by employing Runge-Kutta-Fehlberg method. The results for varied controlling parameters for both dusty nano fluid and dust phase are shown through graphs, table and discussed in detail. Authentication of the obtained results is provided by comparing with published results. Results indicate that Graphene + water dusty nanofluid shows better heat transfer performance compared with Silver + water dusty nanofluid. Improvement in thermal relaxation boosts temperature distribution in both fluid and dust phase.

Hall effects on dusty nanofluid two-phase transient flow past a stretching sheet using KVL model

The influence of Hall current on the time-dependent flow of nanofluid in the presence of dust particles is investigated. The water-based copper nanoliquid containing fine dust particles occupies a stretching surface. The effective thermal conductivity and the viscosity of the nanoliquid are estimated by KVL (Khanafer-Vafai-Lightstone) model. The notion of boundary layer approximation is employed to model the governing equations for both nanofluid and dust phases. Similarity transformations are employed to obtain ordinary differential equations from the governed partial differential equations. The numeric solutions are developed via Runge-Kutta-Fehlberg integration scheme. The graphical illustrations are to explain the impacts of the governing parameters on flow fields. It is established that the nanofluid's Nusselt number increases due to the suspension of dust particles. An enhancement of heat transfer rate has a direct relationship with Hall current and unsteadiness.