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The rate of heat flow (conduction) between two points on a cylinder heated at one end is given by dQ dt dT dx where L is the length of the rod. dT dx where is a constant, A is the cylinder's cross-sectional area, Q is heat flow, T'is temperature, t is time and r is the distance from the heated end. Given that 100(L-x)(20-t) 100-xt

The rate of heat flow (conduction) between two points on a cylinder heated at one end is given by dQ dt dT dx where L is the length of the rod. dT dx where is a constant, A is the cylinder's cross-sectional area, Q is heat flow, T'is temperature, t is time and r is the distance from the heated end. Given that 100(L-x)(20-t) 100-xt

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2 The rate of heat flow (conduction) between two points on a cylinder heated at one end is given by dQ dt dT dx where L is the length of the rod. dT dx 2A- where is a constant, A is the cylinder's cross-sectional area, Q is heat flow, T'is temperature, t is time and r is the distance from the heated end. Given that 100(L-x)(20-t) 100-xt
Transcribed Image Text:Q2 The rate of heat flow (conduction) between two points on a cylinder heated at one end is given by dQ dt dT dx where L is the length of the rod. dT dx 2A- where is a constant, A is the cylinder's cross-sectional area, Q is heat flow, T'is temperature, t is time and r is the distance from the heated end. Given that 100(L-x)(20-t) 100-xt
If the initial condition is Q(0) = 0 and the parameters A is the last digits of your matrix number, L = 24, x=2.5 cm and 2 = 0.4 cal cm/s. For example, student with matrix number DD190010 will have the values of A = 0 and L = 20. Calculate the heat flow for t=0 to 35 s using Heun's method. Use h = 5.
Transcribed Image Text:If the initial condition is Q(0) = 0 and the parameters A is the last digits of your matrix number, L = 24, x=2.5 cm and 2 = 0.4 cal cm/s. For example, student with matrix number DD190010 will have the values of A = 0 and L = 20. Calculate the heat flow for t=0 to 35 s using Heun's method. Use h = 5.
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