Free convection from a heated vertical cylinder with variable surface temperature

This report discuss the literature studies and numerical analysis of a heated vertical cylinder subjected to variable surface temperature undergoing free convection flow. Surface wall temperature is considered to be proportional to x^n, where x is the distance from the base along the vertical axis...

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Main Author: Quek, Jian Ting
Other Authors: Shu Jian Jun
Format: Final Year Project (FYP)
Language:English
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10356/68434
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author Quek, Jian Ting
author2 Shu Jian Jun
author_facet Shu Jian Jun
Quek, Jian Ting
author_sort Quek, Jian Ting
collection NTU
description This report discuss the literature studies and numerical analysis of a heated vertical cylinder subjected to variable surface temperature undergoing free convection flow. Surface wall temperature is considered to be proportional to x^n, where x is the distance from the base along the vertical axis and n is a constant. This problem and its governing equations was originated from J.J.Shu and I.Pop , thus this report will serve as a continuation to their study. Several studies related to free convection had been conducted in past recent years where most authors analysed either uniform or variable wall temperature. No studies compared the solutions between the two different conditions, thus this report will showcase the results of the comparisons. Firstly, discussion of past researches were made and the relation with conservation of laws with convection equation were shown clearly. Secondly, this report present a numerical analysis by using a software 'MATLAB' for computation where it generate the solutions by iterations. The solutions will then be plotted into various graphs for easy comparisons between the relationship for different parameters such as, Prandtl number, stretched streamwise coordinates and constant n . While presenting the solution, discussions for the results on the effect of different parameters affecting the transfer of heat will be presented. Lastly, comparisons within both uniform and variable temperature conditions were made, followed by a conclusion and recommendations for this paper.
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spelling ntu-10356/684342023-03-04T19:12:24Z Free convection from a heated vertical cylinder with variable surface temperature Quek, Jian Ting Shu Jian Jun School of Mechanical and Aerospace Engineering DRNTU::Engineering This report discuss the literature studies and numerical analysis of a heated vertical cylinder subjected to variable surface temperature undergoing free convection flow. Surface wall temperature is considered to be proportional to x^n, where x is the distance from the base along the vertical axis and n is a constant. This problem and its governing equations was originated from J.J.Shu and I.Pop , thus this report will serve as a continuation to their study. Several studies related to free convection had been conducted in past recent years where most authors analysed either uniform or variable wall temperature. No studies compared the solutions between the two different conditions, thus this report will showcase the results of the comparisons. Firstly, discussion of past researches were made and the relation with conservation of laws with convection equation were shown clearly. Secondly, this report present a numerical analysis by using a software 'MATLAB' for computation where it generate the solutions by iterations. The solutions will then be plotted into various graphs for easy comparisons between the relationship for different parameters such as, Prandtl number, stretched streamwise coordinates and constant n . While presenting the solution, discussions for the results on the effect of different parameters affecting the transfer of heat will be presented. Lastly, comparisons within both uniform and variable temperature conditions were made, followed by a conclusion and recommendations for this paper. Bachelor of Engineering (Mechanical Engineering) 2016-05-26T02:15:56Z 2016-05-26T02:15:56Z 2016 Final Year Project (FYP) http://hdl.handle.net/10356/68434 en Nanyang Technological University 82 p. application/pdf
spellingShingle DRNTU::Engineering
Quek, Jian Ting
Free convection from a heated vertical cylinder with variable surface temperature
title Free convection from a heated vertical cylinder with variable surface temperature
title_full Free convection from a heated vertical cylinder with variable surface temperature
title_fullStr Free convection from a heated vertical cylinder with variable surface temperature
title_full_unstemmed Free convection from a heated vertical cylinder with variable surface temperature
title_short Free convection from a heated vertical cylinder with variable surface temperature
title_sort free convection from a heated vertical cylinder with variable surface temperature
topic DRNTU::Engineering
url http://hdl.handle.net/10356/68434
work_keys_str_mv AT quekjianting freeconvectionfromaheatedverticalcylinderwithvariablesurfacetemperature