Eckert Number Ec Research Articles

Mesoscopic simulation of double-diffusive natural convection and entropy generation of Bingham fluid in an open cavity

In this paper, double-diffusive natural convection, studying Soret and Dufour effects and viscous dissipation in an open cavity filled with Bingham fluid has been simulated by Finite Difference Lattice Boltzmann Method (FDLBM). In addition, entropy generations through fluid friction, heat transfer, and mass transfer has been studied. The problem has been solved by applying the regularized Papanastasiou model. However, the Bingham model without regularizations for some cases have been studied to demonstrate the accuracy of the applied regularization. This study has been conducted for certain pertinent parameters of Rayleigh number (Ra=103, 104 and 105), Bingham number (Bn), Lewis number (Le=2.5, 5 and 10), Dufour parameter (Df=0, 1, and 5), Soret parameter (Sr=0, 1, and 5), Eckert number (Ec=0, 0.001, and 0.01), and the Buoyancy ratio (N=−1, 0.1, 1). Results indicate that the increase in Rayleigh number enhances heat and mass transfer for various Bingham numbers. The rise of Bingham number reduces heat and mass transfer. In addition, the increase in Bingham number enlarges the unyielded zones. The increase in the Lewis number augments mass transfer in different Rayleigh and Bingham numbers, although the enhancement of Lewis number causes heat transfer to drop marginally. The rise of Dufour parameter increases heat transfer gradually. The increase in Soret parameter enhances mass transfer for different Bingham and Rayleigh numbers. The addition of Soret parameter, Dufour parameter and Lewis number do not affect the unyielded zone considerably. The augmentation of the buoyancy ratio number enhances heat and mass transfer at Ra=104 and 105. The rise of buoyancy ratio number alters the unyielded section significantly. The increase in Eckert number influences heat and mass transfer marginally. The augmentation of Rayleigh number enhances different entropy generations and reduces the average Bejan number. The increase in the Bingham number provokes various irreversibilities to drop significantly. The rise of Soret and Dufour parameters enhances the entropy generations due to heat transfer and fluid friction. The rise of Eckert number alters various entropy generations, but the alteration does not follow a specific manner in different studied parameters.

Chemical reaction for Carreau-Yasuda nanofluid flow past a nonlinear stretching sheet considering Joule heating

Abstract Current analysis has been made to scrutinize the consequences of chemical response against magneto-hydrodynamic Carreau-Yasuda nanofluid flow induced by a non-linear stretching surface considering zero normal flux, slip and convective boundary conditions. Joule heating effect is also considered. Appropriate similarity approach is used to convert leading system of PDE’s for Carreau-Yasuda nanofluid into nonlinear ODE’s. Well known mathematical scheme namely shooting method is utilized to solve the system numerically. Physical parameters, namely Weissenberg number We , thermal slip parameter δ , thermophoresis number NT, non-linear stretching parameter n, magnetic field parameter M, velocity slip parameter k , Lewis number Le, Brownian motion parameter NB, Prandtl number Pr, Eckert number Ec and chemical reaction parameter γ upon temperature, velocity and concentration profiles are visualized through graphs and tables. Numerical influence of mass and heat transfer rates and friction factor are also represented in tabular as well as graphical form respectively. Skin friction coefficient reduces when Weissenberg number We is incremented. Rate of heat transfer enhances for large values of Brownian motion constraint NB. By increasing Lewis quantity Le rate of mass transfer declines.

A comprehensive shape factor analysis using transportation of MoS2-SiO2/H2O inside an isothermal semi vertical inverted cone with porous boundary

Abstract Background and objectives Current article gives a comprehensive shape factor analysis of MoS 2 - SiO 2 water based hybrid nanofluid in a semi vertical inverted porous cone along with the influence of transverse magnetic field, viscous dissipation and thermal radiation. Significances Mathematical investigation is carried out in Cartesian coordinates. Physical flow problem has been tackeled numerically by means of shooting algorithm. Effect of significant emerging parameters is displayed and examined through graphs and tables. Conclusions It is concluded that the presence of magnetic field resist the fluid flow and boundary layer thickness decreases. Fluid decelerates with an increase in λ and this decrease in fluid flow is more in case of nanofluid when compared with hybrid nanofluid. Velocity decreases with an increase in S > 0 . Moreover, it is noticed that the fluid flow decelerates more for SiO 2 /water nanofluid as compare to hybrid nanofluid. For both types of nanofluids temperature distribution upsurges with an increase in Eckert number Ec, volumetric fractions ϕ 1 and ϕ 2 in case of nanofluid and hybrid nanofluid, N as well as λ . Moreover, it is evident that the rise of temperature is significantly more for SiO 2 /water nanofluid. Furthermore, maximum temperature is achieved for blade shaped nanoparticles suspended in SiO 2 /water nanofluid whereas, lowest temperature measurements are observed in case of brick shaped nanoparticles suspended in MoS 2 - SiO 2 /water hybrid nanofluid. Skin friction coefficient and Nusselt number increases with an increase in nanoparticles volumetric fractions ϕ 1 and ϕ 2 for nano as well as hybrid nanofluid, respectively. Moreover, skin friction coefficient and Nusselt number are of maximum magnitude in case of hybrid nanofluid having blade shaped nanoparticles and minimum magnitude is witnessed for brick shaped nano particles suspended in nanofluid.

Flow analysis of particulate suspension on an asymmetric peristaltic motion in a curved configuration with heat and mass transfer

This article addresses the influence of particulate-fluid suspension on asymmetric peristaltic motion through a curved configuration with mass and heat transfer. A motivation for the current study is that such kind of theory is helpful to examine the two-phase peristaltic motion between small muscles during the propagation of different biological fluids. Moreover, it is also essential in multiple applications of pumping fluid-solid mixtures by peristalsis, i.e., Chyme in small intestine and suspension of blood in arteriole. Long wavelength, as well as small Reynolds number, have been utilized to render the governing equations for particle and fluid phase. Exact solutions are presented for velocity (uf,p), temperature (θf,p) and concentration distributions (φf,p). All the parameters such as Prandtl number (Pr), particle volume fraction (C), suspension parameter (M1), curvature parameter (k), volumetric flow rate (Q), Schmidt number (Sc), phase difference (φ), Eckert number (Ec), and Soret number (Sr) discussed graphically for peristaltic pumping (Δp), pressure gradient (dp/dx), velocity (uf,p), temperature (θf,p) and concentration distributions (φf,p). The streamlines are also plotted with the aid of contour.

Free convection in a square cavity filled with a Casson fluid under the effects of thermal radiation and viscous dissipation

PurposeThe main purpose of this numerical work is to study free convection of Casson fluid in a square differentially heated cavity taking into account the effects of thermal radiation and viscous dissipation.Design/methodology/approachThe cavity is heated from the left vertical wall and cooled from the right vertical wall while horizontal walls are insulated. The governing partial differential equations invoking Rosseland approximation for thermal radiation with corresponding boundary conditions have been solved by finite difference method of the second-order accuracy using dimensionless variables stream function, vorticity and temperature. The governing parameters are Rayleigh number (Ra = 105), Prandtl number (Pr = 0.1, 0.7, 7.0), Casson parameter (γ = 0.1-5.0), radiation parameter (Rd = 0-10), Eckert number (Ec = 0-1.0).FindingsIt is found that an increase in Casson parameter leads to the heat transfer enhancement and fluid flow intensification. While a growth of Eckert number illustrates the heat transfer suppression.Originality/valueThe originality of this work is to analyze for the first-time natural convective fluid flow and heat transfer of a Casson fluid within a differentially heated square cavity under the effects of thermal radiation and viscous dissipation. The results would benefit scientists and engineers to become familiar with the flow behavior of such non-Newtonian fluids, and the way to predict the properties of this flow for possibility of using this specific fluid in various engineering and industrial processes, such as chyme movement in intestine, blood flows, lubrication processes with grease and heavy oils, glass blowing, electronic chips, food stuff, slurries, etc.

Double-diffusive natural convection and entropy generation of Bingham fluid in an inclined cavity

In this paper, double-diffusive natural convection, studying Soret and Dufour effects and viscous dissipation in a square cavity filled with Bingham fluid has been simulated by Finite Difference Lattice Boltzmann Method (FDLBM). In addition, entropy generations through fluid friction, heat transfer, and mass transfer has been studied. The problem has been solved by applying the regularised Papanastasiou model. This study has been conducted for certain pertinent parameters of Rayleigh number (Ra=103,104 and 105), Bingham number (Bn), Lewis number (Le=2.5, 5 and 10), Dufour parameter (Df=0, 1, and 5), Soret parameter (Sr=0, 1, and 5), Eckert number (Ec=0, 0.001, and 0.01), inclined angle (θ=0, 40, 80, and 120) and the Buoyancy ratio (N=−1, 0.1, 1). Results indicate that the increase in Rayleigh number enhances heat and mass transfer for various Bingham numbers and inclined angles. The alteration of the inclined angle changes heat and mass transfer. In addition, the rise of the inclined angle alter the unyielded zones. The increase in the Lewis number augments mass transfer in different inclined angles while it causes heat transfer to drop marginally at θ=0, 40, and 120. The heat transfer increases with the rise of the Dufour parameter and the mass transfer enhances as the Soret parameter increases for different Bingham numbers and Rayleigh numbers. In some cases, the augmentation of Soret and Dufour parameters alter the behavior of heat and mass transfer against the alteration of the inclined angle. The addition of Soret and Dufour parameters and Lewis numbers do not affect the unyielded zone considerably. The augmentation of the buoyancy ratio number enhances heat and mass transfer. The rise of buoyancy ratio number alters the unyielded section significantly. The increase in Eckert number declines heat transfer, but it has a marginal effect on mass transfer. The augmentation of Rayleigh number enhances different entropy generations and declines the average Bejan number. The increase in the Bingham number provokes various irreversibilities to drop significantly. The rise of Soret and Dufour parameters enhances the entropy generations due to heat transfer and fluid friction. The rise of Eckert number alters various entropy generations, but the alteration does not follow a specific manner in different studied parameters.

MHD boundary layer flow and heat transfer characteristics of a nanofluid over a stretching sheet

Abstract The study of radiative heat transfer in a nanofluid with the influence of magnetic field over a stretching surface is investigated numerically. Physical mechanisms responsible for magnetic parameter, radiation parameter between the nanoparticles and the base fluid, such as Brownian motion and thermophoresis, are accounted for in the model. The parameters for Prandtl number Pr, Eckert number Ec, Lewis number Le, stretching parameter b/a and constant parameter m are examined. The governing partial differential equations were converted into nonlinear ordinary differential equations by using a suitable similarity transformation, which are solved numerically using the Nactsheim-Swigert shooting technique together with Runge-Kutta six order iteration scheme. The accuracy of the numerical method is tested by performing various comparisons with previously published work and the results are found to be in excellent agreement. Numerical results for velocity, temperature and concentration distributions as well as skin-friction coefficient, Nusselt number and Sherwood number are discussed at the sheet for various values of physical parameters.

An Integral Treatment for Dissipative Boundary Layer Flow along a Radiating Vertical Surface by Natural Convection in a Porous Medium

In the present study, an integral method of Von Karman type has been used to analyse the phenomenon of natural convection heat and mass transfer near a vertical surface embedded in a fluidsaturated porous medium considering the viscous dissipation and radiation effects. The buoyancy effect is due to the variation of temperature and concentration across the boundary layer. The effects of the governing parameters e.g. buoyancy ratio (N), Lewis number (Le), Eckert number (Ec) and radiation parameter (R) on local Nusselt number, local Sherwood number, velocity profile, temperature profile and concentration profile have been investigated. The results obtained in the present analysis have been compared with the published results available in the literature and they have been found in precise agreement.

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

The present work is focused on behavioral characteristics of gyrotactic microorganisms to describe their role in heat and mass transfer in the presence of magnetohydrodynamic (MHD) forces in Powell-Eyring nanofluids. Implications concerning stretching sheet with respect to velocity, temperature, nanoparticle concentration and motile microorganism density were explored to highlight influential parameters. Aim of utilizing microorganisms was primarily to stabilize the nanoparticle suspension due to bioconvection generated by the combined effects of buoyancy forces and magnetic field. Influence of Newtonian heating was also analyzed by taking into account thermophoretic mechanism and Brownian motion effects to insinuate series solutions mediated by homotopy analysis method (HAM). Mathematical model captured the boundary layer regime that explicitly involved contemporary non linear partial differential equations converted into the ordinary differential equations. To depict nanofluid flow characteristics, pertinent parameters namely bioconvection Lewis number Lb, traditional Lewis number Le, bioconvection Péclet number Pe, buoyancy ratio parameter Nr, bioconvection Rayleigh number Rb, thermophoresis parameter Nt, Hartmann number M, Grashof number Gr, and Eckert number Ec were computed and analyzed. Results revealed evidence of hydromagnetic bioconvection for microorganism which was represented by graphs and tables. Our findings further show a significant effect of Newtonian heating over a stretching plate by examining the coefficient values of skin friction, local Nusselt number and the local density number. Comparison was made between Newtonian fluid and Powell-Eyring fluid on velocity field and temperature field. Results are compared of with contemporary studies and our findings are found in excellent agreement with these studies.

Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature

An applied thermal system for heat and mass transfer and energy management problem of hydromagnetic flow with magnetic and viscous dissipation effects micropolar nanofluids towards a stretching sheet has been studied. A system of partial differential equations for micropolar and nanofluid has been analyzed by a combination of the similarity transformation and accurate finite-difference method. Those solutions are used to obtain distributions of the local convective heat transfer coefficient and the stretching sheet temperature. The related importance dimensionless parameters are Prandtl number Pr, magnetic parameter M, material parameter K, Eckert number Ec, Brownian motion number Nb, thermophoresis parameter Nt and the Schmidt number Sc, respectively. The numerical results are indicated that an increasing in the magnetic parameter is given a decreasing in the values of the velocities and Nusselt number, or an increasing in the values of the shear stress, couple stress at the surface, temperature and concentration. The material parameter K has the opposite effect of magnetic field parameter on the values of the velocities, temperature, concentration, shear stress, Nusselt number and Schmidt number. The temperature is decreased as the Prandtl number increasing, or is increased as the Eckert number increasing. The concentration is decreased as Schmidt number increasing. At last, the study has been presented one multimedia video to show its main contain, it will be appeared at Elsevier AudioSlides website.

Numerical investigation of nanofluid melting heat transfer between two pipes

CuO-water nanofluid melting heat transfer between two circular cylinders is studied in existence of horizontal magnetic field. Effect of various shapes of nanoparticles on nanofluid properties is considered. The KKL model is utilized for estimating viscosity of nanofluid. Runge-Kutta integration scheme is selected for solving ODEs. Numerical procedures are examined for various active parameters namely shapes of nanoparticle, melting parameter (δ), Hartmann number (Ha), Eckert number (Ec) and Reynolds number (Re). Results show that temperature gradient increases with increase in Hartmann number but it decreases with increase in melting parameter. Velocity reduces with rise of Lorentz forces and melting parameter but it increases with increase in Reynolds number.

THERMO-DIFFUSION AND DIFFUSO-THERMO EFFECTS ON MHD SQUEEZING FLOW BETWEEN PARALLEL DISKS

In this article, Magnetohydrodynamic (MHD) squeezing flow between two parallel disks is considered. The upper disk is taken to be solid and the lower one is permeable. Soret and Dufour effects are measured to explore the thermal-diffusion and diffusion-thermo effects. Governing PDEs are converted into system of ODEs with the support of suitable similarity transforms. Homotopy analysis method (HAM) has been employed to obtain the expressions for velocity, temperature and concentration profiles. Effects of different emerging parameters such as squeezing number [Formula: see text], Hartman number [Formula: see text], Prandtl number Pr, Eckert number Ec, dimensionless length [Formula: see text] and Schmidt number Sc on the flow are also discussed with the help of graphs for velocity, temperature and concentration. The local Nusselt and Sherwood numbers along with convergence of the series solutions are presented with the help of graphs. From the results obtained, we observed that the physical quantities like skin friction coefficient increases with increasing value of Hartmann number [Formula: see text] in the blowing case [Formula: see text] whereas a fall is observed in the suction case [Formula: see text]. However, the rate of heat transfer at upper wall increases with increasing values of Dufour number Du and Soret number Sr for both the suction [Formula: see text] and blowing flow [Formula: see text], whereas, for the larger values of Dufour number Du and smaller values of Soret number Sr, a rapid fall is observed in Sherwood number Sh for both the suction [Formula: see text] and blowing [Formula: see text] cases. A numerical solution is obtained by employing Runge–Kutta method of order four (RK-4) to check the validity and reliability of the developed algorithm. A well agreement is found between both the solutions.

Mechanism of chemical aspect in ferromagnetic flow of second grade liquid

Here we consider the analysis of ferromagnetic flow of second grade liquid over a stretched surface. Characteristics of heat and mass transfer are investigated through thermal radiation, chemical reaction and viscous dissipation. Similarity transformation approach is utilized in order to transform the governing expressions into set of coupled nonlinear ordinary differential equations (ODEs). Resulting problems are numerically solved using built-in-shooting technique. Outcome of various parameters like Prandtl number (Pr), ferromagnetic interaction (β), Eckert number (Ec), Schmidt number (Sc), Curie temperature (ε), chemical reaction (γ), material variable (β1) and thermal radiation (R) on the momentum, thermal and concentration fields is investigated. The present solutions are compared with the previous published works in a limiting case which shows the validation of present methodology of solution computations. Numerical computations for skin friction, Sherwood and Nusselt numbers are calculated through involvement of influential variables.

Numerical Heat and Mass Transfer of a Micropolar Fluids Flow with Magnetic Effect to Past a Stretching Sheet

A heat and mass transfer and energy management problem of for hydromagnetic flow with magnetic effect micropolar fluids past through a stretching sheet has been studied. Governing equations are included continuity equation, momentum equation, angular momentum equation, energy equation and the concentration equation of a micropolar fluid have been analyzed by a combination of the similarity transformation and a accurate finite-difference method. These solutions are used to obtain distributions of the local convective heat transfer coefficient and the stretching sheet temperature. The ranges of these dimensionless parameters, the Prandtl number Pr, the magnetic parameter M, the material parameter K, the Eckert number Ec and the Schmidt number Sc are from 0.3 to 0.71, 0 to 20, 0 to 2, 0 to 0.8 and 0.5 to 10, respectively. The numerical results indicate that, an increase in the magnetic parameter gives a decrease in the values of the velocities and Nusselt number, or an increase in the values of the shear stress, couple stress at the surface, temperature and concentration. The material parameter has the opposite effect of magnetic field parameter on the values of the velocities, temperature, concentration, shear stress, Nusselt number and Schmidt number. The temperature decreases as the Prandtl number increases, or increases as the Eckert number increases. The concentration decreases as Schmidt number increases.

Suction/Injection Effects on MHD Flow of a Non-Newtonian Power-Law Fluid Past a Continuously Moving Porous Flat Plate with Heat Flux and Viscous Dissipation

In the present work, we studied the problem of magneto-hydro dynamic flow and heat transfer to the non-Newtonian power-law fluid flow past a continuously moving porous permeability flat plate in the presence of radiation and suction/injection with heat flux by taking into consideration the viscous dissipation. The local similarity solution is used to transform the system of partial differential equations, describing the problem into a system of highly coupled nonlinear ordinary differential equations. The non linear ordinary differential equations are first linearized by using the Quasi-linearization technique and then solved numerically by an implicit finite difference scheme. The solution is found to be dependent on various governing parameter including magnetic field parameter M, power-law index n, suction/injection parameter $$f_{w}$$ , Prandtl number Pr, permeability Kp, Eckert number Ec and radiation parameter R. A systematical study is carried out to illustrate the effects of these major parameters on the velocity profiles, temperature profile, skin friction coefficient and the rate of heat transfer and the local Nusselt number.

Convection heat and mass transfer of fractional MHD Maxwell fluid in a porous medium with Soret and Dufour effects

This work is concerned with unsteady natural convection heat and mass transfer of a fractional MHD viscoelastic fluid in a porous medium with Soret and Dufour effects. Formulated boundary layer governing equations have coupled mixed time–space fractional derivatives, which are solved by finite difference method combined with L1-algorithm. Results indicate that the Dufour number (Du), Eckert number (Ec), Soret number (Sr) and Schmidt number (Sc) have significantly effects on velocity, temperature and concentration fields. With the increase of Du (Sr), the boundary layer thickness of momentum and thermal (concentration) increase remarkably. The average Nusselt number declines with the increase of Du and Ec. The average Sherwood number declines with the increase of Sr, but increases for larger values of Sc. Moreover, the magnetic field slows down the natural convection and reduces the rate of heat and mass transfer. The fractional derivative parameter decelerates the convection flow and enhances the elastic effect of the viscoelastic fluid.

Thermal radiation, viscous dissipation, ohmic dissipation and mass transfer effects on unsteady hydromagnetic flow over a stretching surface

Abstract The aim of present investigation was to study the effects of thermal radiation, viscous dissipation, ohmic dissipation and mass transfer effects on unsteady hydromagnetic boundary layer flow over a stretching surface. The governing equations of momentum, thermal and concentration boundary layers are reduced to a set of ordinary differential equations by means of suitable similarity transformations. Those equations are solved numerically for some arbitrary values of the governing physical parameters such as the Unsteadiness parameter ( A ), Magnetic interaction parameter ( M 2 ), Prandtl number ( Pr ), Radiation parameter ( R d ), Eckert number ( Ec ) and Schmidt number ( Sc ) using Runge Kutta method of fourth order along with an efficient shooting method called Nachtsheim Swigert integration technique for the satisfaction of asymptotic boundary conditions. The results obtained are discussed with the help of graphical illustrations. Important physical concepts such as skin friction coefficient, Nusselt number and Sherwood number are also obtained and are discussed in detail.

Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid

In this paper, effects of variable viscosity with heat transfer on solid particle motion of dusty Jeffrey fluid model through a planar channel has been examined. The governing flow problem for fluid phase and dusty phase is formulated with the help of momentum and energy equation. The resulting coupled ordinary differential equations have been solved analytically and closed form solutions are presented. The influence of all the physical parameters are sketched for velocity profile, pressure rise and temperature profile. Numerical computation is used to evaluate the expression for pressure rise. The present analysis is also presented for Newtonian fluid by taking [Formula: see text] as a special case of our study. It is found that due to the influence of variable viscosity, the fluid velocity changes in the center of the channel and shows opposite behavior near the walls. It is also found that temperature profile increases for larger values of Prandtl number (Pr) and Eckert number (Ec).

Numerical study of MHD natural convection inside a sinusoidally heated lid-driven cavity filled with Fe3O4-water nanofluid in the presence of Joule heating

In the present contribution, the conjugate effect of Joule heating and Lorenz force acting on MHD natural convection and entropy generation inside a lid-driven cavity filled with Fe3O4-water nanofluid has been studied numerically. A sinusoidal temperature distribution on both vertical sides is considered, while the horizontal walls are kept adiabatic. The physical problem is represented mathematically by sets of governing partial differential equations and an accurate finite volume method is employed to solve the equations of flow and temperature fields. The study has been carried out for a wide range of Hartmann number Ha=0 to 50, Eckert number Ec=0.025 to 0.075, solid volume fraction ϕ=0 to 0.06, and phase deviation of temperature distribution γ=0 to π. The numerical results for cases with and without internal Joule heating are presented in terms of streamlines, isotherms, average Nusselt number, entropy generation, and Bejan number. The results show that the heat transfer rate reduces with the increase of either Hartmann or Eckert number. In the presence of Joule heating and for all phase deviations, the addition of ferrite nanoparticles to the base fluid improves the heat transfer rate. In addition, the total entropy generation increases with Hartmann and Eckert number as well as the solid volume fraction of nanoparticles.

Finite Difference Simulation of MHD Radiative Flow of a Nanofluid past a Stretching Sheet with Stability Analysis

In the present study, unsteady heat and mass nanofluid flow past a stretching sheet with the effect of thermal radiation and magnetic field was carried out. To obtain non-similar equation, the boundary layer governing equations including continuity, momentum, energy and concentration balance were non-dimensionalized by usual transformation. The non-similar approach was employed, which depends on the dimensionless parameters such as Magnetic parameter (M), Radiation parameter (R), Prandtl number (Pr), Eckert number (Ec) Lewis number (Le), Brownian motion parameter (Nb), Thermophoresis parameter (Nt), Local Reynolds number (Re) and velocity parameter (b/a). The temperature and concentration distributions are found affected by these dimensionless parameters. The obtained equations have been solved by explicit finite difference method (EFDM). A theoretical model of the stability and convergence to describe the aspects of the finite difference scheme was developed in this study. This analysis makes the EFDM approach more accurate and able to provide the convergence criteria of the method (Pr ≥ 0.375 and Le ≥ 0.25). The temperature and concentration profiles are discussed for the different values of the dimensionless parameters by considering different time steps. The present computational investigation finds applications in the area of magnetic nanomaterials processing.