Please code function using Python d²T=dx²-Ti+1 − 2Ti + Ti–1Δχ2where Ti designates the temperature at node i. This approximation can be substituted into Eq. (1) to giveTa= 20Ti+1-2T+Ti-1Ax2-+h' (Ta − T;) = 0To = 4023T5 = 200Ax→Ta = 20x = 0x = 10Develop linear equations applied to each of the nodes (for i = 1, 2, 3, 4). Write out the linear equations youdeveloped.c) Calculate node temperatures (T1 – T4) with Python code.d) Plot the results of analytical solution (a) and temperatures obtained in (c) into one graph. Use black solidline for the analytical solution, and for the results of (c), use blue open circle.e) h' = h/k, and h is convective heat transfer coefficient and k is the thermal conductivity of solid material.We can analyze the temperature distribution in the solid material by changing the thermal conductivity. Let'suse the k values (50, 25, 5, and 1 W/m·K) while using fixed h value of 1 W/m²·K, and plot temperaturedistribution for each case.

First let us write out the linear equation for each node (i = 1,2,3,4):Then now we will…

Answered: Please code function using Python

Engineering

Computer Science

Please code function using Python

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Please code function using Python

d²T
=
dx²
-
Ti+1 − 2Ti + Ti–1
Δχ2
where Ti designates the temperature at node i. This approximation can be substituted into Eq. (1) to give
Ta
= 20
Ti+1-2T+Ti-1
Ax2
-
+h' (Ta − T;) = 0
To = 40
2
3
T5 = 200
Ax→Ta = 20
x = 0
x = 10
Develop linear equations applied to each of the nodes (for i = 1, 2, 3, 4). Write out the linear equations you
developed.
c) Calculate node temperatures (T1 – T4) with Python code.
d) Plot the results of analytical solution (a) and temperatures obtained in (c) into one graph. Use black solid
line for the analytical solution, and for the results of (c), use blue open circle.
e) h' = h/k, and h is convective heat transfer coefficient and k is the thermal conductivity of solid material.
We can analyze the temperature distribution in the solid material by changing the thermal conductivity. Let's
use the k values (50, 25, 5, and 1 W/m·K) while using fixed h value of 1 W/m²·K, and plot temperature
distribution for each case.

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