Suppose the density field of a one-dimensional continuum is p = exp[cos(t - x)] and the velocity field is v=sin(t-x). 1. What is the flux of material past z = 0 as a function of time?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose the density field of a one-dimensional continuum is
p = exp[cos(t - x)]
and the velocity field is
v=sin(t-x).
1. What is the flux of material past z = 0 as a function of time?
Transcribed Image Text:Suppose the density field of a one-dimensional continuum is p = exp[cos(t - x)] and the velocity field is v=sin(t-x). 1. What is the flux of material past z = 0 as a function of time?
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2. How much material passes in the time interval [0,/2] through the points
(a) x = 0, (b) x = π/2, (c) x = -1/2? What does the sign of your answer
(positive/negative) mean?
Transcribed Image Text:2. How much material passes in the time interval [0,/2] through the points (a) x = 0, (b) x = π/2, (c) x = -1/2? What does the sign of your answer (positive/negative) mean?
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