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Please code function using Python

Please code function using Python

Database System Concepts
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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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.
Transcribed Image Text: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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