WRITE A MATLAB CODE TO SOLVE THE FOLLOWING PROBLEM Solve the problem with THE SE

Question

WRITE A MATLAB CODE TO SOLVE THE FOLLOWING PROBLEM

Solve the problem with

THE SECANT METHOD

Suggestions:

1- Use interpolation code

2- Modify the code

3- 6 iterations are needed

in a pin fin. Solving a second-order UDE Example 11-1: Temperuture distrlibution (BVP) using the shooting method. A pin fin is a slender extension attached to a surface in order to increase the surface area and enable greater heat transfer. When con- vection and radiation are included in the analysis, the steady-state temperature distribution, T(x), along a pin fin can be calculated from the solution of the equation: Ts s)kA TB with the boundary conditions: T(0) T, and T(L)-7, In Eq (11.15), he is the convective heat transfer coefficient, P is the perimeter bounding the cross section of the fin, is the radiative emissivity of the surface of the fin, k is the thermal conductivity of the fin m aterial, A, is the cross-sectional area of the fin, Ts is the temperature of the surrounding air, and s,-5.67 × 10-8 W/m2K4) is the Stefan-Boltzmann constant. Determine the temperature distribution if L= 0.1 m, T(0) = 473 K, T(0.1 ) = 293 K, and T,-293 K. Use the following values for the parameters in Eq. (): 40 Wim/K, P 0.016 m, -0.4 , k 240 W/m/K, and Ac = 1.6 × 10-5 m2.

Explanation / Answer

Solution :-

Close all

Clear all

Theta = dsolve('D2THETA-5.67x10^-8*THETA= 0','THETA(0)=40,DTHETA(0.25)=0.016','x');

pretty(THETA)

ezplot(THETA, [0,0.25])

hold on

THETA1= ('D2THETA-5.67x10^-8*THETA= 0.1','THETA(0)=1.6x10^-5,DTHETA(0.25)=0','x');

pretty(THETA)

ezplot(THETA, [0,0.25])

hold on

grid on

drag on

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