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This study by Jonathan Scott addresses the challenges in maintaining a constant temperature profile when heating magnesium plates, particularly under press conditions. The core issue arises from excessive heat loss that interferes with desired temperature outcomes. By employing lumped capacitance methods and considering natural convection and conduction losses, we determine that a total heat loss of 103.2 W must be applied at the press to effectively raise the surface temperature to desired levels. This analysis outlines necessary temperature gradients, convective properties, and heat management strategies.
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Heating of Magnesium Plates By: Jonathan Scott
The Problem • Constant temperature profile needed • Press pulls away too much heat
Desired failure mode • Undesired failure mode
Assumption • No contact resistance between press and magnesium plate • Lumped Capacitance • Room temperature = 298 K • Open convection on all exposed surfaces
The Solution Tmax = 150 C or roughly 425 K Tf = 362 K Ra = 4.35x10^5 Nu top = 13.86 Nu bottom = 6.93 h = 14.83 W/mK Heat loss thru Natural Convection = 39.9 W Heat loss thru Conduction = 63.3 W
Conclusion • Total Heat loss = 103.2 W • 103.2 W must be applied at the press to increase Ts at that point
