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Mathematics

Undergraduate Journal of Mathematical Modeling: One + Two

Heat

Publication Year

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Full-Text Articles in Physical Sciences and Mathematics

Internal Combustion Engines: Modeling Internal Temperature As A Function Of Time, Garrett Fandrich Jan 2022

Internal Combustion Engines: Modeling Internal Temperature As A Function Of Time, Garrett Fandrich

Undergraduate Journal of Mathematical Modeling: One + Two

Just like any thermodynamic system, combustion engines must be cooled to eliminate friction due to heat. Without proper cooling, internal components, such as connecting rods, rod bearings, and pistons can be severely damaged due to thermal expansion, leading to severe damage to the engine block or outright catastrophic failure. Modern engines are cooled using coolant, which flows through internal passageways within the engine block to pull heat away from the system. The use of coolant and external components, such as a water pump, radiator, and thermostat allow an engine to efficiently warm to standard operating temperature and remain at said …


Measuring The Rate Of Heat Loss Across Selected Building Materials, Genesis Zambrano Jan 2020

Measuring The Rate Of Heat Loss Across Selected Building Materials, Genesis Zambrano

Undergraduate Journal of Mathematical Modeling: One + Two

The rate of heat loss is analyzed for three materials: glass, brick and wood. To do this, the initial and final temperatures are set to 75℉ and 100℉, respectively, and the dimensions of each material are chosen to be 5ft by 5ft with a thickness of 2 inches. The objective of this paper is to see which material is best for insulating heat, thus enhancing the thermal performance of a building. Results from this study suggest that glass and brick have a higher rate of heat loss (high thermal conductance values and low thermal resistance values) compared to wood and …