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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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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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