How do I use two different versions of wine on the same installation?

PlayOnLinux

You can use PlayOnLinux to install applications which run on different versions of wine. PlayOnLinux provides an option of installing some libraries as well along with installation of a program.

To mange different versions of wine, go to Tools > Manage Wine Versions

If you want to add your custom compiled version of Wine to this list, create new wine "version" in ~/.PlayOnLinux/wine/linux-amd64 or linux-x86 and copy your custom installation there.

While installing an application you have an option of installing it a new virtual drive, in which you can install a different version of wine.

See the FAQ of wine here telling you that.

You have to scroll to

2.6 Can I install more than one Wine version on my system?

Fixing environment variables you'll be able to get it.