Mathematical modelling and simulation results of a linear thermomagnetic motor with gravity return

Evaristo, E.H.G.; Colman, Flávio Clareth; Alves, C.S.; Trevizoli, Paulo V.

doi:10.1016/j.jmmm.2021.168668

Cited by 7 publications

(4 citation statements)

References 20 publications

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“…Hamarsheh et al [38] proposed improvements in heat transfer for Methanol-based Casson nanofluids containing graphite oxide/carbon nanotubes, flowing via MHD natural convection past a circular cylinder positioned horizontally. Evaristo et al [39] investigated the MHD model as a means to explain the heat transfer process, which involves thermal and magnetic field cycles for the generation of mechanical energy.…”

Section: Introductionmentioning

confidence: 99%

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Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface

Farooq,

Hussain,

Farooq

2023

Z Angew Math Mech

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Bioconvection in non‐Newtonian nanofluids has a wide range of contemporary applications in biotech, biomechanics, microbiology, computational biology, medical science, etc. Considering the Casson fluid model and inclined stretching geometry a mathematical model is developed to investigate the influence of chemical reactions on bioconvection characteristics of self‐propelled microbes in a non‐Newtonian nanofluid. Nanoparticles that can be dissolved in the blood (base fluid) include titanium oxide () and aluminium oxide (). The impacts of heat generation, magnetic field, and dissipation of viscosity are also included. To simplify the governing system of partial differential equations (PDEs), boundary layer assumptions are used. By using the proper transformations, the governing PDEs and the boundary conditions that correspond with them are further changed to a dimensionless form. Utilizing a local non‐similarity technique up to the second degree of truncation in conjunction with MATLAB's (bvp4c) built‐in finite difference code, the results of the altered model are gathered. Additionally, after achieving good alignment between calculated findings and published results, the influence of changing factors on the flow of fluids and heat transfer features of the envisioned flow problems is shown and examined in graphical configuration. Tables are designed to establish numerical variants of the drag coefficient and Nusselt number. The Outcome of this study is to highlight the important role that chemical reactions play in the bioconvection of Casson nanofluids, and how manipulating the chemical reaction parameter can impact the transport and heat/mass transfer properties of the fluid. It is noted that increasing the chemical reaction parameter leads to a fall in the concentration profile of the bioconvection Casson nanofluid. Enhancing the Casson fluid parameter enhances the velocity and temperature profile. When the Peclet number is altered, the propagation of microorganisms is constrained. Moreover, it was observed that the density of motile microorganisms increased as the bioconvective Lewis numbers became higher. The coefficient of friction on the inclined stretched surface is increased significantly by the porosity parameter and Lorentz forces, as they act as amplifiers.

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Section: Introductionmentioning

confidence: 99%

“…Evaristo et al. [39] investigated the MHD model as a means to explain the heat transfer process, which involves thermal and magnetic field cycles for the generation of mechanical energy.…”

Section: Introductionmentioning

confidence: 99%

Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface

Farooq,

Hussain,

Farooq

2023

Z Angew Math Mech

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“…With the presumptions of zero nanoparticle flux and first-order compound response, Dey and Mukhopadhyay [ 18 ] investigated the impacts of an external magnetic field and suction/injection on forced convection nanofluid flow across an absorbent surface. Evaristo et al [ 19 ] investigated the unsteady MHD model to simulate the process of heat transfer which goes through temperature and magnetic field cycles to generate mechanical power. Arulmozhi et al [ 20 ] assessed the influences of heat radiation and chemical reactions on the MHD nanofluid’s mass and heat convection over an infinitely moving vertical surface embedded in porous media.…”

Section: Introductionmentioning

confidence: 99%

Thermal Analysis of Radiative Darcy–Forchheimer Nanofluid Flow Across an Inclined Stretching Surface

et al. 2022

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Nanofluids have unique features that make them potentially valuable in a variety of medicinal, technical, and industrial sectors. The widespread applications of nanotechnology in modern science have prompted researchers to study nanofluid models from different perspectives. The objective of the current research is to study the flow of non-Newtonian nanofluid over an inclined stretching surface immersed in porous media by employing the Darcy–Forchheimer model. Both titanium oxide (TiO2) and aluminum oxide (Al2O3) are nanoparticles which can be found in blood (based fluid). The consequences of viscous dissipation, thermal radiations, and heat generation are also incorporated. Boundary layer approximations are employed to model the governing system of partial differential equations (PDEs). The governing PDEs with their associated boundary conditions are further altered to a dimensionless form by employing appropriate transformations. The results of the transformed model are collected using local non-similarity approach up to the second level of truncation in association with the built-in finite difference code in MATLAB (bvp4c). Additionally, the impacts of emerging factors on the fluid flow and thermal transport features of the considered flow problem are displayed and analyzed in graphical forms after achieving good agreement between accomplished computational results and published ones. Numerical variations in drag coefficient and Nusselt number are elaborated through the tables. It has been perceived that the enhancement in Casson fluid parameter diminishes the velocity profile. Moreover, it is noted that the porosity parameter and Lorentz’s forces reinforce the resulting frictional factor at the inclined stretching surface.

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“…More recently, industrial scale rotary thermomagnetic motor prototype developed by Swiss Blue Energy AG is able to produce up to 1 kW of power [14]. Rotating topology would allow for the power density to scale beyond the current threshold, which is often limited by the frequency of heating and cooling cycle [15,16]. Yet, the output is limited due to the eddy current braking and viscous friction, especially at higher rotation speeds [13,17].…”

Section: Introductionmentioning

confidence: 99%

Design Optimization of a Rotary Thermomagnetic Motor for More Efficient Heat Energy Harvesting

Hey

Repaka

et al. 2022

Energies

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A rotary thermomagnetic motor that is designed for heat energy harvesting is presented in this paper. The power output, power density, and efficiency of the device is estimated using a mathematical model coupling the heat transfer, magnetic interactions, and rotor dynamics. The design analysis shows that the efficiency of the device is maximized, when there is a balance between the volume of thermomagnetic material used against the rate of heating and cooling of the material. On the other hand, the power output is determined largely by the size of the rotor, while the power density tends to peak at a particular aspect (length to diameter) ratio of the rotor. It is also observed that a higher rate of cooling leads to more output, especially when this is matched to a similar rate of heat supplied to the thermomagnetic motor. The result from the design optimization points to an ‘optimal’ design configuration and corresponding operating conditions that results in the largest power output, highest power density and best efficiency. After the optimization, it is estimated that the rotary thermomagnetic motor is able to produce up to 88 W of power with a power density of approximately 27 kW/m3 of thermomagnetic material used, while a maximum thermal-to-mechanical energy conversion efficiency of 2.1% is achievable. The results obtained from this design analysis and optimization shows the potential for such a rotary thermomagnetic motor to be implemented at a larger scale for heat energy harvesting application.

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Mathematical modelling and simulation results of a linear thermomagnetic motor with gravity return

Cited by 7 publications

References 20 publications

Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface

Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface

Thermal Analysis of Radiative Darcy–Forchheimer Nanofluid Flow Across an Inclined Stretching Surface

Design Optimization of a Rotary Thermomagnetic Motor for More Efficient Heat Energy Harvesting

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