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A sphere which is 12.7 mm in diameter, is at 66 °C before it is inserted into an airstream having a temperature of 27 °C. The surface temperature of the sphere is 55 °C after 69 seconds measured by a thermocouple. This sphere has density 8933 kg/m³, cp = 389 J/kg∙K, k=398 W/m K Assume this sphere can be treated as a lumped system. Find the convective heat transfer coefficient and then calculate Bi number to justify the assumption that this sphere can be treated as a lumped system.

A sphere which is 12.7 mm in diameter, is at 66 °C before it is inserted into an airstream having a temperature of 27 °C. The surface temperature of the sphere is 55 °C after 69 seconds measured by a thermocouple. This sphere has density 8933 kg/m³, cp = 389 J/kg∙K, k=398 W/m K Assume this sphere can be treated as a lumped system. Find the convective heat transfer coefficient and then calculate Bi number to justify the assumption that this sphere can be treated as a lumped system.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.32P
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A sphere which is 12.7 mm in diameter, is at 66 °C before it is inserted into an airstream having a temperature of 27 °C. The surface temperature of the sphere is 55 °C after 69 seconds measured by a thermocouple. This sphere has density 8933 kg/m³, cp = 389 J/kg∙K, k=398 W/m K Assume this sphere can be treated as a lumped system. Find the convective heat transfer coefficient and then calculate Bi number to justify the assumption that this sphere can be treated as a lumped system.
Transcribed Image Text:A sphere which is 12.7 mm in diameter, is at 66 °C before it is inserted into an airstream having a temperature of 27 °C. The surface temperature of the sphere is 55 °C after 69 seconds measured by a thermocouple. This sphere has density 8933 kg/m³, cp = 389 J/kg∙K, k=398 W/m K Assume this sphere can be treated as a lumped system. Find the convective heat transfer coefficient and then calculate Bi number to justify the assumption that this sphere can be treated as a lumped system.
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