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Thermal - moving heat load/flux with time


I'm trying to simulate moving a heat source across a surface with time in NX 9 advanced thermal - say, moving a flame, plasma spray, or laser beam across a part. So far I can vary the intensity with either time or space but can't figure out how to do both. Is this even possible?


Edit: to clarify because how I worded it was confusing: I've been able to restrict heat load with respect to space, and with respect to time, like a source that turns on and off within a given region, but haven't been able to move the space it's restricted to with respect to time, like a constant intensity that moves across the surface.