Nanofluid Temperature Research Articles

Thermal performance analysis of Sutterby nanoliquid subject to melting heat transportation

In the recent years, nanotechnology has been widely used in several fields regarding its rapid developments which create a lot of prospects for researchers and engineers. More specifically, replacement of conventional liquid with nanofluid is considered as an innovative solution to heat transfer problems. Keeping aforesaid pragmatism of nanofluid in view, we considered a time-dependent mathematical model to formulate the heat sink-source based Sutterby nanofluid model under thermophoretic and Brownian movements. New mass flux and melting boundary conditions are used for heat/ mass transfer analyses. Moreover, Prandtl’s boundary-layer idea is employed for mathematical formulation. The leading nonlinear set of partial differential equations is transformed to nonlinear set of ordinary differential equations. Numeric outcomes are acquired through bvp4c algorithm, graphical results are found via MATLAB technique. Acquired numerical data shows that temperature of nanofluid boosts for greater thermophoretic and unsteady parameters. Intensification is measured in concentration distribution.

Numerical passive control of alumina nanoparticles in purely aquatic medium featuring EMHD driven non-Darcian nanofluid flow over convective Riga surface

Motivated by the thermal importance of feeble electrically conducting nanofluids and their flow controls in many industrial and engineering applications, the present scrutinization intended to evidence comprehensively the main electro-magneto-hydrothermal and mass aspects of convective non-homogeneous flows of alumina-based purewater nanofluids Al2O3-H2O over a horizontal flat surface of an electromagnetic actuator (i.e., Riga pattern, which is embedded geometrically in a Darcy-Forchheimer porous medium. Further, the present nanofluid flow model is formulated realistically under the umbrella of the renovated two-phase Buongiorno’s approach with the inclusion of Brownian motion and thermophoresis diffusive phenomena, in which the vertical component of the nanoparticles’ mass flux tend to vanish at the limiting contact surface due to its impermeability trend. For streamlining the technical handling of the present nanofluid flow problem, the governing partial differential equations (PDEs) are simplified mathematically by adopting the physical approximations of the boundary layer theory and then transformed into a differential structure of ordinary differential equations (ODEs) based on several similarity changes. Methodologically, the resulting nonlinear coupled ODEs are solved numerically via a validated differential quadrature procedure. Besides, the generated graphical demonstrations show that the nanofluid temperature is enhanced significantly with the porosity factors, the nanoparticles’ loading, the convective heating strength, and the thermophoresis process. However, the porosity factors and the nanoparticles’ loading exhibit a slowing-down impact on the nanofluid motion. Usefully, it is revealed from the obtained GDQM - NRT datasets that the nanoparticles’ loading and the porosity factors express an important improvement in the strength of the surface viscous drag forces, whereas the induced electromagnetic field shows a reverse viscous frictional impact.

Significance of Hall current and viscous dissipation in the bioconvection flow of couple-stress nanofluid with generalized Fourier and Fick laws

In the pump of different machines, the vacuum pump oil (VPO) is used as a lubricant. The heat rate transport mechanism is a significant requirement for all industries and engineering. The applications of VPO in discrete fields of industries and engineering fields are uranium enrichment, electron microscopy, radio pharmacy, ophthalmic coating, radiosurgery, production of most types of electric lamps, mass spectrometers, freeze-drying, and, etc. Therefore, in the present study, the nanoparticles are mixed up into the VPO base liquid for the augmentation of energy transportation. Further, the MHD flow of a couple stress nanoliquid with the applications of Hall current toward the rotating disk is discussed. The Darcy-Forchheimer along with porous medium is examined. The prevalence of viscous dissipation, thermal radiation, and Joule heating impacts are also considered. With the aid of Cattaneo-Christov heat-mass flux theory, the mechanism for energy and mass transport is deliberated. The idea of the motile gyrotactic microorganisms is incorporated. The existing problem is expressed as higher-order PDEs, which are then transformed into higher-order ODEs by employing the appropriate similarity transformations. For the analytical simulation of the modeled system of equations, the HAM scheme is utilized. The behavior of the flow profiles of the nanoliquid against various flow parameters has discoursed through the graphs. The outcomes from this analysis determined that the increment in a couple-stress liquid parameter reduced the fluid velocity. It is obtained that, the expansion in thermal and solutal relaxation time parameters decayed the nanofluid temperature and concentration. Further, it is examined that a higher magnetic field amplified the skin friction coefficients of the nanoliquid. Heat transport is increased through the rising of the radiation parameter.

Non-similar investigation of enhanced thermal efficiency of Maxwell based hybrid nanofluid ([formula omitted] across a linearly stretched surface

The science of dispersing nanoparticles into base fluids has a potential to revolutionize the variety of engineering developments. This is because the nanofluids have different thermophysical properties than conventional fluids. In our proposed research work, the main goal is to develop non-similar Maxwell hybrid nano-fluid model with various assumptions to scrutinize the thermal transport analysis. In this regard, we consider the flow of fluid over a linearly stretched surface imbedded in porous media incorporating molybdenum disulfide (MoS2) and zinc Oxide (ZnO) as nanoparticles with engine oil as base fluid. Moreover, the impacts of magnetic field, viscous dissipation, and heat source to examine the thermal features of considered flow problem are also taken into account. Mathematical framework for considered case is developed by employing the Khanafer model fornanofluids flow problem. The governing partial differential equations (PDEs) is simplified to dimensionless system using appropriate non-similar conversions. The reconstructed mathematical model is simulated using the local non-similarity technique up to the second level of truncation with the assistance of MATLAB bvp4c algorithm. Furthermore, influence of different emerging dimensionless parameters such as magnetic field, Maxwell fluid parameter, porosity parameter, Prandtl number, and heat source parameter on velocity and temperature profiles are investigated graphically. It is observed that the flow profile decreases as the values of the magnetic-field and the porosity parameter increases. It has been found that nanofluid temperature falls for the increasing values of Prandtl number while boundary layer thickness decreases with rising values of Maxwell fluid parameter. It's worth noted that the Biot number's value and temperature gradient have a direct relationship. The variations in physical parameters such as skin friction, and local Nusselt number are also examined in suitable range. The local Nusselt number rises with the increase of heat source parameter and Prandtl number. To get the validity of results, the present work has been compared with previously reported studies and good agreement has been found.

Particle swarm optimization based numerical study for pressure, flow, and heat transfer over a rotating disk with temperature dependent nanofluid properties

In the era of nanotechnology and advanced manufacturing, many industrial applications involve the flow control over the rotating disk. Rotating machineries, computer storage devices, dynamic filtration processes, gas turbine engines, bio inspired electro-catalysis processes are a few of them. Considering the wide applications of flow over rotating permeable disks, this paper presents the investigation of flow, temperature and pressure characteristics of water-based titanium oxide nanofluid with temperature dependent properties. The quadratic Boussinesq approximation is considered to incorporate the density variations due to temperature change. The numerical computation is carried out using metaheuristic based hybrid shooting technique. Temperature dependent dynamic viscosity and thermal conductivity models for nanofluid are considered and the numerical results for velocity components, pressure and temperature distributions are investigated. The investigation unveiled reduction in skin friction and heat transfer rate with increasing value of quadratic convection parameter. The suction parameter is found to be very significant in terms of increasing heat transfer rates. An 80% increase in local Nusselt number is observed for a small change in suction parameter from −1 to −1.5.

Hall current and Joule heating effects on peristalsis of TiO2–Ag/EG hybrid nanofluids via a curved channel with heat transfer

Hybrid nanofluids have attracted the attention of researchers due to their high heat transfer rates and improved thermal efficiency compared to conventional nanofluids. Outstanding features of hybrid nanofluids make them useful in electronic appliances, transport industry, drug delivery, and so on. Keeping such importance of hybrid nanofluids in mind, goal of this study is to evaluate the Hall currents and Ohmic heating effects on peristalsis of hybrid nanofluids with viscous dissipation and velocity slip effects via a curved channel. Further convective boundary conditions have been considered to aid heat transfer performance. Lubrication approximation is utilized in the mathematical modeling of the problem. Obtained set of equations is resolved numerically through built-in command NDSolve in Mathematica. Influence of emerging parameters on thermal transport, pressure gradient, velocity and temperature profiles are presented graphically, and discussed physically. Temperature and velocity profiles of hybrid nanofluids show decreasing behavior with an augmentation in nanoparticles volume fraction, while reverse behavior is found for the heat transfer rate.

Effects of diffusive Reynolds number on electro-osmotic pulsating nanofluid flow

We examine pulsating electro-osmotic nanofluid flow phenomena in a microchannel with porous walls. The combined effect of the injected nanofluid velocity and ion diffusion coefficients on the electrical potential formation is considered. A novel boundary condition is introduced so as to examine the effects of electro-osmosis and frictional forces on thermal profiles and nanoparticle volume fractions of nanofluids. Being motivated by the experimental works of Kong et al. [Phys. Chem. Chem. Phys. 19, 7678 (2017).], this paper aims to extend the study of ion diffusivity in terms of diffusive Reynolds number on nanofluid temperature in the pulsating pressure gradient setting. The semi-analytic differential transform method is used to solve the physical equations, represented as coupled ordinary differential equations, with a special emphasis on the convergence of solutions, which is presented in terms of tables and graphs. The study shows that the nanofluid velocity, temperature, and mass concentration are strongly influenced by the ion diffusion coefficient and the frequency of pulsating pressure gradient. The diffusive Reynolds number significantly influences the electric potential distribution. The velocity and temperature show an increasing trend in terms of diminishing sensitivity parameter. However, nanoparticle concentration increases with an enhancement of the sensitivity parameter. Finally, velocity and temperature increase with a diminution of the Womersley number.

Unsteady axisymmetric flow of nanofluid on nonlinearly expanding surface with variable fluid properties

The physical phenomena of nanofluid at high temperature motivate us to analyze problems with temperature-reliant fluid properties, like viscosity and thermal conductivity. Since in glass blowing, viscosity and thermal conductivity of the fluid may gets affected in such high temperature. This communication deals with the unsteady flow of nanofluid generated by nonlinear expansion of the surface. Temperature-dependent fluid viscosity and thermal conductivity are considered in the investigation of the problem. The flow of nanofluid is modeled using famous the Buongiorno's two-phase model, which includes the simultaneous effect of Brownian motion and thermophoresis diffusion. Appropriate transformations are adopted to obtain the ODEs from governing PDEs. Then MATLAB ‘bvp4c’ computation is used to solve the problem and to get a clear insight of the influences of various parameters. Graphical comparisons are made to check the accuracy of used numerical method. The study explores that heat transfer rate significantly enhances by the index of nonlinearity, variable viscosity and thermal conductivity parameters. Unsteadiness of the flow can be used as a controlling parameter to reduce the surface drag, heat and nano-mass transfer rate. Variable viscosity parameter leads to enhance the velocity near the surface and reducing the concentration of the nanoparticles. The thermal and concentration boundary layer thickens with thermal conductivity parameters. Nanofluid temperature and concentration of nanoparticles decay with nonlinear expanding index.

Thermal convection and solar radiation of electromagnetic actuator Cu–Al2O3/C3H8O2 and Cu–C3H8O2 hybrid nanofluids for solar collector optimization

The growing industrial and domestic demand for a stable energy supply in enhancing productivity is increasing day by days. This need can be richly met through solar energy conservation with an appropriate solar collector coating and optical thermal optimization. As such, in this study, solar energy radiation and heat convection of copper (Cu) and aluminum oxide (Al2O3) nanoparticles suspended in propylene glycol (C3H8O2) for an electromagnetic induced solar collector, and elastic exponential temperature surface are considered. The magnetized flow characteristics is analyzed in a permeable medium with viscous heating. An invariant transformation of the mathematical model is obtained via suitable similarity quantities, and solved by a Chebyshev collocation technique. The computed results are presented in graphs and tables, and qualitatively discussed. The findings revealed that heat propagation rate is improved with higher concentration of nanoparticles fractional volume of about 6.7%. Also, nanofluid temperature has positive effect on the suction. Hence, this study will support thermal science and engineering in correct prediction of their activities.

MHD slip flow of a Casson hybrid nanofluid over a stretching/shrinking sheet with thermal radiation

Current article investigates the non-Newtonian MHD flow and heat transfer of copper-alumina/water hybrid nanofluid due to permeable stretching/shrinking surface with full slip model. The system of nonlinear partial differential equations was transformed to a system of ordinary differential equations via proper similarity variables. On obtaining exact solutions in terms of incomplete gamma function, the impact of various physical parameters was discussed for velocity and temperature distributions. There is an establishment that, the temperature distribution and thermal boundary layer increase as the one of the parameters viz, magnetic parameter, Biot number, radiation parameter is increasing. Additionally, transverse and axial velocities of the nanofluid are more than that of hybrid nanofluid in stretching case and reverse in shrinking case. However, the temperature for hybrid nanofluid will be more than that of nanofluid in stretching case and reverse in shrinking case. Further, present analysis reveals that stronger mass transpiration is needed for steady flow of MHD Casson liquid. Moreover, the skin friction will enhance with the mass suction and MHD in case of stretching sheet, where there is declines in rate of heat transfer. There is an increase in the skin friction as the intensity of suction parameter increases, accordingly which progress the enhancement of the heat transfer and deteriorate the temperature of the hybrid nanofluid. The consequence has possible industrial and technological applications in fluid based systems involving shrinkable/stretchable materials, MHD flow meters and pumps, plastic films drawing. Hybrid nanoparticles increase the rate of cooling, so become significant in machining and manufacturing.

Performance Assessment of a Novel Solar and Biomass-Based Multi-Generation System Equipped with Nanofluid-Based Compound Parabolic Collectors

The current paper proposes a novel multi-generation system, integrated with compound parabolic collectors and a biomass combustor. In addition to analyzing the comprehensive system in a steady state, the feasibility of using nanofluids as heat transfer fluids in the solar cycle and their effect on the overall performance of the system was studied. The multi-generation system is generally designed for generating electricity, cooling, freshwater, drying, hot water, and hydrogen, with the help of six subsystems. These include a double stage refrigeration system, an organic Rankine cycle, a steam Rankine cycle, a dryer, a proton exchange membrane electrolyzer, and a multistage flash distillation system. Two types of nanoparticles (graphene, silver), which have various high-quality properties when used within ethylene glycol, were chosen as absorbing fluids in the solar cycle. The performance parameters of the base case thermodynamic analysis and some of the variable parameters were calculated, and their effect on system performance was determined. According to the results, a spike in solar irradiation, ambient temperature, output temperature of biomass combustor and nanofluids’ concentration positively affected the overall system performance. The results also clearly showed an improvement in system performance when using nanofluids as working fluids in solar collectors.

Bio-magnetic pulsatile flow of Ti-alloy-Au/blood couple stress hybrid nanofluid in a rotating channel

This research investigates the mobility of blood-carrying titanium (Ti)-alloy-gold (Au) hybrid nanoparticles in a rotating channel when heat radiation, viscous dissipation, and Lorentz force are significant. The couple stress hybrid nanofluid flow between two flat walls saturated with a porous medium. The pulsatile flow is subjected to an inverse magnetic field of uniform force to study the effect of the Lorenz force. The flow has been mathematically modeled, resulting in a delicate partial differential equations (PDEs) system. In addition, the response surface methodology (RSM) is executed to probe the sensitivity of effective flow field parameters on the heat transfer rate. We initially converted the PDEs into ordinary differential equations (ODEs) using the perturbation technique. Numerical solutions of velocity, temperature, heat transfer rate and entropy generation are taken from bvp4c to evaluate coupled ODEs. The results show that the velocity and temperature of the hybrid nanofluid are less for compared with . The heat transfer rate diminishes with large values of the Eckert number and radiation parameter at the left wall. The heat transfer rate has a negative sensitivity on the left wall for all levels of and

Interaction of Variable Fluid Properties with Electrokinetically Modulated Peristaltic Flow of Reactive Nanofluid: A Thermodynamical Analysis

In the present study, the interaction of variable fluid properties with electrokinetically regulated peristaltic transportation of a reactive nanofluid embedded in a porous space is studied. The nanofluid saturates the porous space/medium with inhomogeneous porosity, which changes with distance from the channel boundary. It is assumed that nanofluids are accompanied by variable thermal conductivity and viscosity. The impacts of magnetic field, Brownian motion, electric field, viscous dissipation, chemical reaction, mixed convection, and thermophoresis are incorporated. Moreover, the contribution of zero mass flux boundary condition is executed. The complexity of the equations describing the flow of a nanofluid is reduced by applying the lubrication theory. The fully non-linear equations are solved by utilizing a numerical technique. Particular attention is paid to the analysis of entropy optimization, since its minimization is the best measure to enhance the efficiency of thermal systems. These results demonstrate that a positively oriented external electric field contributes to an increase in nanofluid velocity. Temperature of nanofluid increases more rapidly due to an augmentation in Joule heating parameter. It is noticed that the temperature of water is comparatively lower than that of kerosene. The system’s energy loss can be reduced when the thermal conductivity parameter enhance. The magnitude of Bejan number is enhanced by increasing electroosmotic parameter. Further, a substantial decrement in concentration profile is perceived when the Schmidt number is augmented.

Nonsimilar analysis of magnetized Sisko nanofluid flow subjected to heat generation/absorption and viscous dissipation

This research explores the nonsimilar magnetohydrodynamic (MHD) boundary-layer (BL) Sisko nanofluid flow over a vertically placed sheet under the impacts of heat generation/absorption and viscous dissipation. The flow is propagated under vertical stretching of the sheet and utilizing natural forces. Flow problem is formulated by employing governing relations and equations are transformed into dimensionless form through the nonsimilar methodology. This dimensionless partial differential system is simulated computationally by using the analytical local nonsimilarity method (LNM) via numerical finite difference based built-in Matlab algorithm bvp4c. Impacts of the effective dimensionless emerging parameters on convective transport analysis are examined. Furthermore, the correlations of drag coefficient, local Nusselt, and Sherwood numbers for significant parameters have been developed. It is noted that the material parameter augments the nanofluid velocity, temperature, and concentration field. The higher the magnetic field drops the fluid velocity however the thermal and concentration profiles increase. The greater estimations of the thermophoresis parameter have a rising impact on the concentration profile, while the higher Lewis number and Prandtl number have an inverse response against the concentration profile. Most of the real-world boundary layer flow problems are nonsimilar, which is an innovative point of this article. So, here we discussed the nonsimilar analysis for the considered problem. According to the author's observations, the declaration of non-similar analysis for the problem under consideration hasn't yet been analyzed in published literature.

Featuring the Hall effect and variable thermal conductivity on magnetized hybrid nanoliquid flow for three distinct shapes of nanoparticles: A comparative study

AbstractThe purpose of this work is to capture the circumstances of variable thermal conductivity and the Hall effect on the three‐dimensional rotating flow of hybrid nanofluid towards a bidirectional stretching sheet. The hybrid nanofluid is made by suspending nanometer‐sized copper (Cu) and alumina (Al2O3) nanoparticles in the base liquid water (H2O). The sheet is immersed in a Darcy porous medium. The flow is induced by both stretching of the sheet and thermal buoyancy force due to free convection. Further, nonlinear thermal radiation, frictional and Joule heating are prevalent in the temperature field. The surface boundary also imposes two constraints, namely velocity slip and convective heating. Another aspect of this analysis is to examine the impact of different shapes of copper and alumina nanoparticles on temperature distribution. For that, three variants, namely, spherical, blade, and lamina of nanoparticles shape, are considered. The resulting nonlinear differential equations are tackled by using Runge–Kutta–Fehlberg and secant methods‐based shooting technique. A detailed discussion on the physical impacts of various relevant parameters over velocity, temperature, local skin friction coefficients and Nusselt number is carried out with the help of graphs. Primary and secondary velocities of the hybrid nanofluid are accelerated for growing values of Hall current parameter, whereas the reverse trend is noticed w.r.t. velocity slip and suction parameters. Moreover, the hybrid nanofluid temperature profile has a direct relation with viscous dissipation and thermal radiation parameters. This research may have important applications in high‐ and low‐temperature operations, paints, space technologies, medications, cosmetics, conductive coatings, and so forth.

Peristaltic mechanism of couple stress nanomaterial in a tapered channel

This paper addresses the analysis of chemical reaction for mixed convection peristaltic movement of electrically conducting couple stress nanomaterial in an asymmetric tapered porous channel under the influence of heat generation/absorption. The heat and mass performances of nanofluid are captured with an evaluation of the famous Buongiorno model, which enables us to determine the attractive features of Brownian motion and thermophoretic diffusion. The velocity slip and viscous dissipation effects are also be accounted. Mathematical modeling incorporates lubrication approximation. The expressions for temperature, pressure rise, concentration, velocity, pressure gradient, and streamlines are estimated numerically and scrutinized for dissimilar flow parameters such as magnetic parameter 1≤M≤4, Darcy number 0.1≤Da≤0.5, couple stress fluid parameter 3≤γ≤6, Brinkman number 1≤Br≤4, heat absorption parameter 1≤B≤2, Brownian motion parameter 1≤Nb≤4, thermophoresis parameter 1≤Nt≤4, Schmidt number 0.3≤Sc≤1.5 and chemical reaction parameter 0.4≤kc≤0.9. Furthermore, the skin friction and Nusselt number at the channel walls are established for a choice of assessments of significant parameters and which are exhibited in a tabular manner. Outcomes reveal that velocity and pressure gradient increase by enhancing the velocity slip parameter. Further, the thermophoresis parameter favors the nanofluid temperature and declines the concentration. To ensure the accuracy of the developed code, obtained results are compared with the results available in the literature and found in excellent agreement.

Investigating the Effect of Tube Diameter on the Performance of a Hybrid Photovoltaic-Thermal System Based on Phase Change Materials and Nanofluids.

The finite element (FEM) approach is used in this study to model the laminar flow of an eco-friendly nanofluid (NF) within three pipes in a solar system. A solar panel and a supporting phase change material (PCM) that three pipelines flowed through made up the solar system. An organic, eco-friendly PCM was employed. Several fins were used on the pipes, and the NF temperature and panel temperature were measured at different flow rates. To model the NF flow, a two-phase mixture was used. As a direct consequence of the flow rate being raised by a factor of two, the maximum temperature of the panel dropped by 1.85 °C, and the average temperature dropped by 1.82 °C. As the flow rate increased, the temperature of the output flow dropped by up to 2 °C. At flow rates ranging from low to medium to high, the PCM melted completely in a short amount of time; however, at high flow rates, a portion of the PCM remained non-melted surrounding the pipes. An increase in the NF flow rate had a variable effect on the heat transfer (HTR) coefficient.

Enhancing the effectiveness of the cooling system for automotive engine by employing different nanofluids: literature review

The cooling system of a car engine effects strongly the efficiency of the car engine so many studies were presented to enhance the cooling system of the car. The components of the cooling system are radiator, water pumps, fan, shutters, thermostats, expansion tanks/storage tanks, water pipes, water temperature gauges, etc. Among these components, the radiator considers the primary key to enhancing the efficiency of the car engine. Many studies were achieved to enhance the efficiency of car radiators by using different nanofluids as a coolant are discussed in this literature review study. These previous studies investigated various kinds of nanofluids such as Al2O3, CuO, TiO2, SiO2, and ZnO with different base fluids. Nanofluid concentrations, nanofluid temperature, and nanofluid flow rate were studied by previous studies eleven years ago.

Non-linear radiative flow of unsteady Oldroyd-B nanofluid subject to Arrhenius activation energy

It is generally known that the inclusion of nanoparticles improves the thermal conductivity of liquids. Because of their improved thermophysical and rheological properties, these are appropriate for energy transport. The objective of the current analysis is to investigate the thermal transport analysis of unsteady magnetohydrodynamic (MHD) Oldroyd-B nanofluid generated by an impermeable stretching cylinder. An important aspect of this endeavor is to add the effects of Arrhenius activation energy for modified Buongiorno's model of nanofluid. In an axisymmetric flow situation, boundary layer approximations are used to simulate the model equations of thermal energy, momentum, and, concentration for Oldroyd-B nanofluid. To convert the leading PDEs into a nonlinear ODEs system, dimensionless quantities are utilized. The physical consequences of the dimensionless constraints on nanofluid velocity, temperature, and concentration are discussed and revealed via graphs. It is worth noting that enhancing the estimation of the activation energy parameter results in an increase in the nanoparticles concentration field. These findings also provide the impression that as the reaction rate parameter is increased, the rate of heat transfer over the surface of the cylinder drops. Additionally, with enhancing values of the temperature difference parameter, the thickness of the nanoparticle's concentration layer depreciates.

Heat transmission and magnetic effects on a ferrofluid liquid in a hybrid survey under the influence of two Helmholtz coils

The effects of ferrofluid nano liquid transmission with MWCNT nanofluid over the two rectangular Helmholtz coils with opposing currents and stretching surfaces are examined in this work. The novel aspect of this research is how changing the fluid properties of MWCNT nanofluid on a tensile sheet are affected by employing two coils with electric current. Calculated differential equations are solved using the finite element method. The heat transfer between the fluid and the plate at the starting of the plates is low with the starting of the thermal boundary layer, the farther go from the starting, and the thicker the boundary layer increases. Ultimately, the MWCNT nanofluid velocity around the two rectangular coils at the middle of the surface is 12.03% higher than the starting of the sheet and 14.06% higher than the end of the surface. Also the MWCNT nanoparticle magnetic potential around the two rectangular coils at the middle of the surface is 33.11% higher than the starting of the surface and 79.10% higher than the end of the surface. Based on the results obtained from the MWCNT nanofluid angular velocity graphs and the heat transfer cantors and Magnetism potential effects in the Design-Expert software, the best optimization occurred for MWCNT nanofluid angular velocity and MWCNT nanofluid temperature and MWCNT Magnetism potential with u = 0.80 and T = 29.25 and Az = 0.87 and N = 0.41.