After going through the production process, thin plates with a length of 0.9m are cooled by suspending them vertically in an atmosphere of quiescent hydrogen at 80°C. To maximize production throughput, the plates are hung as close together as possible. There is a concern however, that if the plates are too close together, the cooling will take longer, costing the company additional money. If the plates are initially at a temperature of 110°C, what is the minimum plate spacing that would avoid interference between their free convection boundary layers? Thermos-physical properties are shown in the table below. Thermal Diffusivity [m2/s] 2.446*10-4 Kinematic Viscosity [m2/s] 1.573*104 Prandtl Number [-] 0.6969

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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After going through the production process, thin plates with a length of 0.9m are
cooled by suspending them vertically in an atmosphere of quiescent hydrogen at 80°C.
To maximize production throughput, the plates are hung as close together as possible.
There is a concern however, that if the plates are too close together, the cooling will
take longer, costing the company additional money.
If the plates are initially at a temperature of 110°C, what is the minimum plate spacing
that would avoid interference between their free convection boundary layers?
Thermos-physical properties are shown in the table below.
Thermal Diffusivity [m2/s]
2.446*10-4
Kinematic Viscosity [m2/s]
1.573*104
Prandtl Number [-]
0.6969
Transcribed Image Text:After going through the production process, thin plates with a length of 0.9m are cooled by suspending them vertically in an atmosphere of quiescent hydrogen at 80°C. To maximize production throughput, the plates are hung as close together as possible. There is a concern however, that if the plates are too close together, the cooling will take longer, costing the company additional money. If the plates are initially at a temperature of 110°C, what is the minimum plate spacing that would avoid interference between their free convection boundary layers? Thermos-physical properties are shown in the table below. Thermal Diffusivity [m2/s] 2.446*10-4 Kinematic Viscosity [m2/s] 1.573*104 Prandtl Number [-] 0.6969
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