[Q] flashing kernel

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http://forum.xda-developers.com – Dear Sir I am new to this forum.I have rooted my SGSII & install ICS 4.0.4.Then i installed aokp jelly bean, slimTW 5 jelly bean & now i am using slim thunderTW5.while installing slim thunderTW5, as per instruction i first flash slim thunderTW5 rom, then google application & siyah kernel. Now it is working fine with no issue. My question is if i want to try other rom (eg. cm rom or again aokp or slim TW5 jelly bean or any rom), do i have to simply follow flashing instruction as provided or flash new kernel. Can i flash any rom with this kernel ?(3.0.15-siyah-s2-v4.1.5+gm@ubuntu (HowTos)