Research Article Open Access

Application of Fourier-Motivated Model to Improve the Economic Thickness of Cast Aluminum Pots alloyed with Lithium

Abstract

In this work, a model for computing the economic thickness of cooking pots of any shape was formulated based on Fourier’s law of heat conduction. In addition, the effect of varying thermal conductivity and sizes of the aluminum pots on its economic thickness was investigated. The cost of heating per year and the economic thickness of 5500 L pure aluminum pot were estimated to be £145.8325 and 9.00 mm, respectively. The cost of heating per year reduces by 2.5% while the economic thickness of the pot increases by 92.0% for aluminum pot alloyed with 8% by mass of Lithium metal. The most outstanding characteristic of the model was its ability to predict the economic thickness behavior of insulators, conductors and highly conducting materials with respect to the thermal conductivity, thereby giving distinction between the three classes of materials. Finally, an approximate balance was found between cost of heating through pot’s thickness and its cost of production, leading to conservation of both energy and resources.

Abduljelili Popoola, Gbadebo I Olaton, Ismail A. Buliyaminu

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