Depending on how long of dowel you need .you can drill a hole in a piece of metal
the proper size you need for a dowel and then pound a piece of wood through the hole that has been sawed square just a little bigger than the drilled hole. This will make a perfect dowel,rather than using a dye.It helps to start it by sharpening one end in a pencil sharpener.

woodworking classes, custom furniture maker