Temperatures at the two ends of a 10 m uniform rod are fixed at 36C and...

 

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Temperatures at the two ends of a 10 m uniform rod are fixed at 36°C and 150°C, respectively. The governing differential equation is: Question 1 - Part I Solve the problem numerically using the FDM and a step size of 2.5 meters. With a step size of 2.5 meters, what is the temperature of the midpoint of the bar? Tmid = .... °C Question 1 Part II Refine your previous approximation by reducing the step size by a factor of 2. Repeat until the h change in midpoint temperature from to 2+1 is less than 0.4%. Required step size: h d'T =(T(x) - 23) dx² 10 m Temperature of bar at midpoint: Tmid, refined= .....C Question 1 Part III At the discretization provided in Part 2 above, what is the minimum temperature in the bar? Tmin=....C Temperatures at the two ends of a 10 m uniform rod are fixed at 36°C and 150°C, respectively. The governing differential equation is: Question 1 - Part I Solve the problem numerically using the FDM and a step size of 2.5 meters. With a step size of 2.5 meters, what is the temperature of the midpoint of the bar? Tmid = .... °C Question 1 Part II Refine your previous approximation by reducing the step size by a factor of 2. Repeat until the h change in midpoint temperature from to 2+1 is less than 0.4%. Required step size: h d'T =(T(x) - 23) dx² 10 m Temperature of bar at midpoint: Tmid, refined= .....C Question 1 Part III At the discretization provided in Part 2 above, what is the minimum temperature in the bar? Tmin=....C

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To solve the problem using the finite difference method FDM we first need to approximate the second ... View the full answer