In induction heating, if I put a conductive material outside the coil, what will happen? Will it heat up? If so at what rates inside and outside the coil?
conductive material will heat up when placed outside the coil, but the heating is much weaker when compared to the case when the material is placed inside the coil. The reason is that the magnetic field strength is at its highest inside the (solenoid) coil. Outside the coil the field is weaker and thus the heating is weaker, too.
In fact, it will need to be very close to coil to heat up as the field falls off as the cube of distance outside the coil, whereas inside the coil it is a relatively constant high value.
If something needs to be heated it should get energy... in this case energy can be transferred by the electromagnetic field from the coil. If you can plot the field around and inside the coil, you can (I believe) plot a sort of "energy distribution" in/outside the coil, thus you could estimate effect of the coil on the material depending on current in coil, properties (resistivity, heat exchange with environment) of the material and environment properties.