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1. Calculate P (m) 2. Calculate Ac (m²) 3. Which of the following does NOT relate to part of Fouriers law: - gis proportional to temperature change - gis proportional to cross-sectional area - qis proportional to the thickness of the material - gis a function of thermal conductivity - The final equation includes a negative sign to ensure correct definitions of heat transfer (flow direction) 4. Estimate the number of fins needed to ensure the base temperature does not exceed 120°C. HINT: sinx/cosx = tanx. Give a whole number. When calculating the heat transfer through fins, several assumptions are made. Indicate which of the following are true or false: 5. It is assumed that there is no temperature profile in the y-direction of a fin, where the x-direction is away from the heat source 6. An ideal fin is one whose temperature at the cold end is the same as ambient temperature 7. A longer fin is ALWAYS a more efficient fin

1. Calculate P (m) 2. Calculate Ac (m²) 3. Which of the following does NOT relate to part of Fouriers law: - gis proportional to temperature change - gis proportional to cross-sectional area - qis proportional to the thickness of the material - gis a function of thermal conductivity - The final equation includes a negative sign to ensure correct definitions of heat transfer (flow direction) 4. Estimate the number of fins needed to ensure the base temperature does not exceed 120°C. HINT: sinx/cosx = tanx. Give a whole number. When calculating the heat transfer through fins, several assumptions are made. Indicate which of the following are true or false: 5. It is assumed that there is no temperature profile in the y-direction of a fin, where the x-direction is away from the heat source 6. An ideal fin is one whose temperature at the cold end is the same as ambient temperature 7. A longer fin is ALWAYS a more efficient fin

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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1. Calculate P (m) 2. Calculate Ac (m²) 3. Which of the following does NOT relate to part of Fouriers law: q is proportional to temperature change q is proportional to cross-sectional area q is proportional to the thickness of the material q is a function of thermal conductivity - The final equation includes a negative sign to ensure correct definitions of heat transfer (flow direction) 4. Estimate the number of fins needed to ensure the base temperature does not exceed 120°C. HINT: sinx/cosx = tanx. Give a whole number. When calculating the heat transfer through fins, several assumptions are made. Indicate which of the following are true or false: 5. It is assumed that there is no temperature profile in the y-direction of a fin, where the x-direction is away from the heat source 6. An ideal fin is one whose temperature at the cold end is the same as ambient temperature 7. A longer fin is ALWAYS a more efficient fin
Transcribed Image Text:1. Calculate P (m) 2. Calculate Ac (m²) 3. Which of the following does NOT relate to part of Fouriers law: q is proportional to temperature change q is proportional to cross-sectional area q is proportional to the thickness of the material q is a function of thermal conductivity - The final equation includes a negative sign to ensure correct definitions of heat transfer (flow direction) 4. Estimate the number of fins needed to ensure the base temperature does not exceed 120°C. HINT: sinx/cosx = tanx. Give a whole number. When calculating the heat transfer through fins, several assumptions are made. Indicate which of the following are true or false: 5. It is assumed that there is no temperature profile in the y-direction of a fin, where the x-direction is away from the heat source 6. An ideal fin is one whose temperature at the cold end is the same as ambient temperature 7. A longer fin is ALWAYS a more efficient fin
A set radial aluminium fins (k = 180 W/mK) are to be fitted to a small air compressor. The device dissipates 1 kW by convecting to the surrounding air which is at 20°C. Each fin is 100 mm long, 30 mm high and 5 mm thick. The tip of each fin may be assumed to be adiabatic and a heat transfer coefficient of h = 15 W/m*K acts over the remaining surfaces. It can be shown (for this system) that the surface temperate of a fin, at a distance x from th base is given by: T - Tf = (T-T;) cosh m(L-x) sinh(mz) and - sinh m (L - x) cosh(mL) dT .m(Tz – Tf) dx Where (all in standard SI units): m2 kA. A: = cross sectional area of a fin (surface furthest from heated object) P= perimeter of the fin surface furthest from the heated object T: = Temperature of surrounding fluid T3 = Temperature at the hot end of the fin (base temperature) L= length of a fin t= 0.005 m L= 0.1m w = 0.03m
Transcribed Image Text:A set radial aluminium fins (k = 180 W/mK) are to be fitted to a small air compressor. The device dissipates 1 kW by convecting to the surrounding air which is at 20°C. Each fin is 100 mm long, 30 mm high and 5 mm thick. The tip of each fin may be assumed to be adiabatic and a heat transfer coefficient of h = 15 W/m*K acts over the remaining surfaces. It can be shown (for this system) that the surface temperate of a fin, at a distance x from th base is given by: T - Tf = (T-T;) cosh m(L-x) sinh(mz) and - sinh m (L - x) cosh(mL) dT .m(Tz – Tf) dx Where (all in standard SI units): m2 kA. A: = cross sectional area of a fin (surface furthest from heated object) P= perimeter of the fin surface furthest from the heated object T: = Temperature of surrounding fluid T3 = Temperature at the hot end of the fin (base temperature) L= length of a fin t= 0.005 m L= 0.1m w = 0.03m
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