NUMERICAL SOLUTION FOR THE RADIATIVE HEAT DISTRIBUTION IN A CYLINDRICAL ENCLOSURE Cosmin Dan, Gilbert De Mey, Erik Dick University of Ghent, Belgium.

Slides:

Advertisements

Similar presentations

Finite Element Radiative and Conductive Module for use with PHOENICS Department of Materials Engineering, University of Swansea, Swansea, SA2 8PP, UK DERA.

Advertisements

BESSEL’S EQUATION AND BESSEL FUNCTIONS:

Fourier’s Law and the Heat Equation

Fourier’s Law and the Heat Equation

Lecture 20: Laminar Non-premixed Flames – Introduction, Non-reacting Jets, Simplified Description of Laminar Non- premixed Flames Yi versus f Experimental.

LECTURE 25 – RADIATION VIEW FACTORS. VIEW FACTORS THE EQUIVALENT FRACTION OF RADIATION FROM ONE SURFACE THAT IS INTERCEPTED BY A SECOND SURFACE ALSO CALLED.

Basic law of heat conduction --Fourier’s Law Degree Celsius.

Institute of Energy and Sustainable Development Improvement of a Two-Dimensional (2D) Borehole Heat Exchanger (BHE) Model Miaomiao He, Simon Rees, Li Shao.

ME 340 Project: Fall 2010 Heat Transfer in a Rice Cooker Brad Glenn Mason Campbell.

Radiation Exchange EGR 4345 Heat Transfer. Blackbody Radiation Exchange.

Heat Transfer Chapter 2.

Radiant Home Heating Systems Dan Korth Corey Christensen.

Modeling the Interaction of Light Between Diffuse Surfaces Cindy M. Goral, Keenth E. Torrance, Donald P. Greenberg and Bennett Battaile Presented by: Chris.

ACADs (08-006) Covered Keywords Heat tracing, thermal radiation, black body, gray body. Description Supporting Material

Chapter 13 Sections 13.1 through 13.4

Radiation Heat Transfer P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi Select a Suitable Geometry to meet the industrial.

Chapter 13 RADIATION HEAT TRANSFER

Enclosure Fire Dynamics

CHE/ME 109 Heat Transfer in Electronics LECTURE 10 – SPECIFIC TRANSIENT CONDUCTION MODELS.

Emergency Blanket vs. Standard Sheet ME 340 Final Project Scott Pruett & Scott McEuen.

Solutions of the Conduction Equation P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi An Idea Generates More Mathematics….

Apparent Emissivity in the Base of a Cone Cosmin DAN, Gilbert DE MEY University of Ghent Belgium.

1-D Steady Conduction: Plane Wall

Heat Transfer Rates Conduction: Fourier’s Law

Heat Transfer Lecture 1.

Introduction to Heat Transfer

Radiation Definitions and laws Heat transfer by conduction and convection required the existence of a material medium, either a solid or a.

Laws of Radiation Heat Transfer P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi Macro Description of highly complex Wave.

Analysis of Radiation Heat Transfer in Furnace P M V Subbarao Professor Mechanical Engineering Department Test for Cooling Capacity of Furnace Surface….

Multidimensional Heat Transfer This equation governs the Cartesian, temperature distribution for a three-dimensional unsteady, heat transfer problem involving.

Lecture Objectives: Analyze the unsteady-state heat transfer Conduction Introduce numerical calculation methods Explicit – Implicit methods.

ASRAE Student Branch meeting Speaker: Kenneth Simpson USGBC – LEED rating system Today at 5 pm ECJ

Module 4 Multi-Dimensional Steady State Heat Conduction.

IASTED PEA 2006, Sept Interzone short wave radiative couplings through windows and large openings : proposal of a simplified model H. Boyer.

One-Dimensional Steady-State Conduction

Conduction and convection require the presence of temperature variations in a material medium. Although radiation originates from matter, its.

HEAT CONDUCTION EQUATION

Heat transfer gradient through the reactor

Chapter 2 Introduction to Conduction. Conduction Rate Equation Cartesian Cylindrical Spherical Isotherm: The direction of heat flow will always be normal.

© Oxford University Press 2011 IP1.9.5 Solar panels and payback time: Overview Solar panels and payback time: Overview.

The Configuration Factors between Ring Shape Finite Areas in Cylinders and Cones Cosmin DAN, Gilbert DE MEY.

Convective heat exchange within a compact heat exchanger EGEE 520 Instructor: Dr. Derek Elsworth Student: Ana Nedeljkovic-Davidovic 2005.

Application of Bezier splines and sensitivity analysis in inverse geometry and boundary problems Iwona NOWAK*, Andrzej J. NOWAK** * Institute of Mathematics,

EGEE 520 A 2-D Diesel Particulate Filter Regeneration Model Yu Zhang.

MULTIDIMENSIONAL HEAT TRANSFER  This equation governs the Cartesian, temperature distribution for a three-dimensional unsteady, heat transfer problem.

Finite-Difference Solutions Part 2

Application of the Monte Carlo Method to Thermal Radiation Heat Transfer Johnathan R. Williams 1.

ERT 216 HEAT & MASS TRANSFER Sem 2/ Dr Akmal Hadi Ma’ Radzi School of Bioprocess Engineering University Malaysia Perlis.

Radiative Heat Flux Distribution inside a Highly Reflective Tube

One-Dimensional Steady-State Conduction

differential equations of heat transfer

Radiation Heat Exchange Between System & Surroundings

Fourier’s Law and the Heat Equation

Fourier’s Law and the Heat Equation

Simulated thermal performance of triple vacuum glazing

Minimum Cooling Time for Metallurgy Applications

Date of download: 10/31/2017 Copyright © ASME. All rights reserved.

Extended Surface Heat Transfer

The Apparent Absorptivity of the Infinite V-groove

Origami-Inspired Variable Emissivity Surfaces: Models and Applications

Chapter Three Section 3.5, Appendix C

Numerical Method (Special Cases)

Eurocode 1: Actions on structures –

Transient Heat Conduction

Numerical Method (Special Cases)

Step change in the boundary condition of conduction problems

Lecture Objectives: Discuss HW3

Research Paper Overview.

Simplified Surface Temperature Modelling

Example-cylindrical coordinates

Presentation transcript:

NUMERICAL SOLUTION FOR THE RADIATIVE HEAT DISTRIBUTION IN A CYLINDRICAL ENCLOSURE Cosmin Dan, Gilbert De Mey, Erik Dick University of Ghent, Belgium

MIXDES Overview Introduction The net radiation method The configuration factors computation Results Conclusions

MIXDES Introduction Motivation

MIXDES Introduction

MIXDES Introduction Assumptions: –Cylindrical enclosure made of aluminium –Very well polished surfaces –Known temperature distribution –Known emissivity of the inner walls –The surfaces are diffuse gray –The cylinder is divided in small finite areas (ring shape)

MIXDES The cavity is divided in small areas in which: –The surfaces are isothermal –The surfaces are diffuse emitters and reflectors –The surfaces are gray The net radiation method

MIXDES Two energy balance equations The net radiation method -Gaussian elimination -configuration factors computation

MIXDES The net radiation method

MIXDES The configuration factors

MIXDES The configuration factors

MIXDES Results

MIXDES Results

MIXDES Results

MIXDES Results

MIXDES Results

MIXDES Results

MIXDES Results

MIXDES Conclusions A software was developed in order to calculate the heat flow distribution along cylinder wall was realised The results obtained using the numerical solution were validated against an analytical case from the literature ( R. Siegel, J. R. Howell, “Thermal Radiation Heat Transfer”, 1992, pp , pp , pp. 477 ) In the future work the obtained results are to be used together with experimental data

MIXDES Thank You