to get what you want (i think)
1. start with a square document 400x400 works.
2. color it white
3. on a new layer using the rectangle marquee -- select the left 1/2 of your picture, and color it grey. (following you pic example)
4. got to Filter>Stylize>Wind
5. use these settings Blast, From the Left
6. Ctrl+F 3-5 times
7. Go to Filter>Blur>Motion Blur
8. use settings 0, 10-20 pixels
9. Ctrl+F 3-5 times
10. go to Image>Rotate Canvas>90 deg. CW
11. go to Filter>Distort>Polar Coordinates
12. use settings Rectangular to Polar
This is just one way to do it. There are a few other ways to do it, but this will give you something of what you want. Play around with the filters as you are making it to find out what looks good to you!