Frida Gaint*
A dynamic analysis of the thermoelectric fluid's temperature distribution and velocity field is carried out using magnetization and anti-magnetization, which characterise the behaviour of sine and cosine sinusoidal waves. When shifting magnetic fields are applied, the magnetised intensity generates 34.66 percent of the magnetic hysteresis, according to the rheological parameter magnetization. A thermoelectric effect occurs when a material's inherent characteristic directly translates temperature fluctuations throughout its body into electric voltage. In this paper, the differential operator's non-classical approach is utilised to forecast the greatest and optimal heat transfer efficiency of a thermoelectric fluid. The fractionalized numerical model is also used to explore the productivity and properties of thermoelectric liquid using a temperature distribution and speed field. Cardano's method and the all-encompassing analytical methodology of integral transforms are used to produce analytical solutions that include a dynamic assessment of the temperature distribution and velocity field.
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