In a piece of cryogenic equipment, two metal plates are connected by a long ASTM A437 B4B stainless steel bolt. Cold gas

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In a piece of cryogenic equipment, two metal plates are connected by a long ASTM A437 B4B stainless steel bolt. Cold gas

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In a piece of cryogenic equipment, two metal plates areconnected by a long ASTM A437 B4B stainless steel bolt. Cold gas,at −70°C, flows between the plates and across the cylindrical bolt.The gas has a thermal conductivity of 0.02 W/m⋅K, a kinematicviscosity of 9.3 × 10−6 m2/s, and a Prandtl number of 0.74. Thediameter of the bolt is 9.5 mm, and the length of the bolt exposedto the gas is 10 cm. The minimum temperature suitable for the ASTMA437 B4B stainless steel bolt is −30°C (ASME Code for ProcessPiping, ASME B31.3-2014, Table A-2M). The temperature of the boltis maintained by a heating mechanism capable of providing heat at13 W. Determine the maximum velocity that the gas can achievewithout cooling the bolt below the minimum suitable temperature of−30°C.
The maximum velocity that the gas can achieve is
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