Find the streamlines of the velocity field

  • Thread starter mathmari
  • Start date
  • #1
1
0
Hello!!

I have to find the streamlines of the following velocity fields:

1. u=x(1+2t), v=y
2. u=xy, v=0

I have done the following:

1. ##\frac{dx}{u}=\frac{dy}{v} \Rightarrow \frac{dx}{x(1+2t)}=\frac{dy}{y} \Rightarrow \frac{\ln x}{1+2t}=\ln y+c \Rightarrow y=Ce^{\frac{\ln x}{1+2t}} \Rightarrow y=Cx^{\frac{1}{1+2t}}##

Is this correct??

2. ##\frac{dx}{u}=\frac{dy}{v} \Rightarrow \frac{dx}{xy}=\frac{dy}{0}##

How could we continue??
 

Answers and Replies

  • #2
RaulTheUCSCSlug
Gold Member
179
25
Sorry I can't help you but any homework problems must use the homework template! It will look neater, and is one of the rules of the forum.
 

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