Lab 3 PHYSICS Palm beach

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School

Palm Beach State College *

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Course

2048L

Subject

Mechanical Engineering

Date

Oct 30, 2023

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docx

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1

Uploaded by SargentSummerBarracuda33

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Laboratory Assignment 3: Heat Transfer Experiment Introduction: This experiment explores heat transfer in a controlled environment. We aim to analyze heat conduction, convection, and radiation. Mathematical calculations and mathematical analysis are the central elements of this experiment. A) Thermal Conductivity Calculation: We begin by calculating the thermal conductivity of different materials. Using Fourier's Law (Q = -kA * (ΔT/Δx)), we compute heat transfer rates. The values of thermal conductivity (k) for each material are determined mathematically. B) Convection Heat Transfer Coefficients: Convection heat transfer coefficients (h) are calculated using Newton's Law of Cooling (Q = h * A * ΔT). The experiment focuses on mathematical calculations to determine the heat transfer coefficients for various fluids. C) Radiation Emissivity Analysis: Radiation emissivity (ε) is analyzed using the Stefan-Boltzmann Law (Q = ε * σ * A * (T^4)). Mathematical analysis is employed to compute radiation emissivity values for different surfaces. D) Thermal Resistance Calculation: Mathematically, we calculate thermal resistance for various materials. Using the formula R = Δx / (k * A), we assess the effectiveness of different materials as insulators based on their thermal resistance values. E) Overall Heat Transfer Coefficients: Overall heat transfer coefficients (U) are computed using mathematical analysis. These coefficients are vital in analyzing heat transfer in composite systems. We utilize the formula U = 1 / (R1 + R2), where R1 and R2 represent the thermal resistances of two materials. F) Heat Exchanger Efficiency: We delve into the mathematical analysis of heat exchanger efficiency. Using the effectiveness-NTU method, we calculate heat exchanger efficiency and explore its relationship with heat transfer rates. G) Mathematical Modeling: The experiment concludes by employing mathematical models to predict heat transfer behaviors in different scenarios. We analyze how changing parameters, such as materials, surface area, and temperature differentials, impact heat transfer rates. Concluding Remarks: This heat transfer experiment emphasizes the significance of mathematical calculations and analysis in understanding heat conduction, convection, and radiation. Through the application of mathematical formulas and principles, we have quantified thermal conductivity, convection heat transfer coefficients, radiation emissivity, thermal resistance, overall heat transfer coefficients, and heat exchanger efficiency. These mathematical insights provide a solid foundation for predicting and optimizing heat transfer processes in various applications.
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