I want to know how to calculate the heat transfer that occurs in a cylindrical steel pipe with any powder inside so as to melt the powder. How does that relate to power? Can we also calculate for a particular power input and the time it will take for melting?
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Jim Grant Forum Moderator 118 Posts
Re: How do you calculate the heat-transfer rate to melt powder?13 October 2009 at 1:29pmThe problem you present is a transient one and will be dominated by conduction until the outer layer of powder begins to melt. In order to bound the problem one may make a conservative estimate of the time for the center of the pipe to reach the melt point by using the Carlsaw & Jaeger plots found in “Conduction of Heat in Solids”, Oxford University press (1959). This approach is covered in “Transport Phenomena” by Bird, Stewart & Lightfoot. Once melting has begun, the heat transfer rate to the melt will increase due to natural convection effects and the power will increase as heat of fusion is supplied.