Write a mat lab code to display heat flow (Q) and Thermal resistance (‘R’) by varying the insulation radius. Take any suitable value of all unknown required parameters. Also plot ‘Q’ and ‘Rth’ verses ‘r2’. How to Calculate critical radius from “Graph” or ‘Array’, and compare with following relation;

1. HITEC UNIVERSITY TAXILA
Design of Machine Elements Lab
Assignment # 01
SUBMITTED TO:
ENGG Salman Khalid
SUBMITTED BY:
ABDULLAH 15-ME-075
SECTION # C

2. Question # 01:
Write a mat lab code to display heat flow (Q) and Thermal resistance(‘R’)by varying the
insulation radius. Take any suitable value of all unknown required parameters.
 Also plot ‘Q’ and ‘Rth’ verses ‘r2’.
 Calculate critical radius from “Graph” or ‘Array’, and compare with
following relation;
Solution:
Programming in Mat Lab:
h = convective heat transfer coefficient
r1= outer radius of pipe
k = thermal conductivity
l = length
T= Temperature difference
r2= radius of insulation
Q = Heat transfer

3. R = Total thermal resistance.
Output shown in Command window

4. Graph: