Question

Temperature distribution across the wall having tapered cross section

Answer 1

Explanation:

thermal behavior of tapered section material. The thermal

behavior involves the study of heat transfer rate and heat flux.

The tapered section has importance as support or flanges in

boilers, chimneys at the lower end. In most of the industries

their involvement in the heat loss is considered to be negligible,

but it is not so as it appeared to be, so through this paper we

analyze the thermal behavior of different material of tapered

section according to their thermal conductivity to withstand on

the particular heat production without any failure. For finding

heat flow rate through the section, we are using Fourier law and

comparing the result with the Solid work (simulation) 2011

Software and Finally, the variation of heat flow rate with respect

to other factors.

Keywords—- Fourier law, Thermal Conductivity, Tapered Section,

Heat Flux, Steady State

1. INTRODUCTION

1.1 Heat Transfer

It is a form of energy which occurs due to temperature

difference. It is exchange of thermal energy between

physical systems. These objects could be two solids, a solid

and a liquid or gas, or even within a liquid or gas. The

direction of heat transfer is from a region of high temperature

to another region of lower temperature, and is governed by

the Second Law of Thermodynamics. Heat transfer changes

the internal energy of the systems from which and to which

the energy is transferred. Heat transfer will occur in a

direction that increases the entropy of the collection of

systems. The unit of heat transfer rate is J/s or watt.

The amount of internal energy changed ∆U during ∆t time

interval and let Q amount of heat decreases.

∆U=∫ ∆

∆

0

-------------- (1)

Then heat flux is defined as rate of heat transfer per unit area.

q=

--------------- (2)

1.2 Steady and Unsteady Heat Transfer

There are two modes of heat transfer steady and