The Disk-Magnet Electromagnetic Induction Applied to Thermoelectric Energy Conversions

Uechi, Hiroshi; Uechi, Schun T.

doi:10.4236/wjet.2022.102010

Cited by 5 publications

(1 citation statement)

References 19 publications

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“…The TMD analysis proves that thermoelectric generations from a low temperature heat source is possible. It contributes to thermoelectric energy conversion devices for low revolutions of heat engines, resulting in thermoelectric generation Stirling engine (TEG-Stirling engine) by employing the axial flux generation mechanism [15] [16]. The radial flux generators (AFGs) are commonly used for Journal of Applied Mathematics and Physics electric power generators, such as the wind, geothermal and thermal turbines and nuclear plants [17] [18] [19].…”

Section: Discussionmentioning

confidence: 99%

Thermomechanical Dynamics (TMD) and Bifurcation-Integration Solutions in Nonlinear Differential Equations with Time-Dependent Coefficients

Uechi,

Uechi

2024

JAMP

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The new independent solutions of the nonlinear differential equation with time-dependent coefficients (NDE-TC) are discussed, for the first time, by employing experimental device called a drinking bird whose simple backand-forth motion develops into water drinking motion. The solution to a drinking bird equation of motion manifests itself the transition from thermodynamic equilibrium to nonequilibrium irreversible states. The independent solution signifying a nonequilibrium thermal state seems to be constructed as if two independent bifurcation solutions are synthesized, and so, the solution is tentatively termed as the bifurcation-integration solution. The bifurcation-integration solution expresses the transition from mechanical and thermodynamic equilibrium to a nonequilibrium irreversible state, which is explicitly shown by the nonlinear differential equation with time-dependent coefficients (NDE-TC). The analysis established a new theoretical approach to nonequilibrium irreversible states, thermomechanical dynamics (TMD).The TMD method enables one to obtain thermodynamically consistent and time-dependent progresses of thermodynamic quantities, by employing the bifurcation-integration solutions of NDE-TC. We hope that the basic properties of bifurcation-integration solutions will be studied and investigated further in mathematics, physics, chemistry and nonlinear sciences in general.

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