Problem#4* - Design the optimal location of triggering flow transition to maximize the cooling efficiency of a flat plate. The boundary layer associated with parallel flow over an isothermal plate may be "tripped" at any x- location by using a fine wire that is stretched across the width of the plate. Determine the value of the critical Reynolds number Rex,c, that is associated with the optimal location of the trip wire from the leading edge that will result in maximum heat transfer from a warm plate to a cooler fluid. Assume the Nusselt number correlations provided in the text for laminar and turbulent flows apply in the laminar and turbulent regions (mixing laminar and turbulent flows, CASE C in your handout notes), respectively.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
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Problem#4* - Design the optimal location of triggering flow transition to maximize the cooling
efficiency of a flat plate.
The boundary layer associated with parallel flow over an isothermal plate may be "tripped" at any x-
location by using a fine wire that is stretched across the width of the plate. Determine the value of the
critical Reynolds number Rex,c, that is associated with the optimal location of the trip wire from the leading
edge that will result in maximum heat transfer from a warm plate to a cooler fluid. Assume the Nusselt
number correlations provided in the text for laminar and turbulent flows apply in the laminar and turbulent
regions (mixing laminar and turbulent flows, CASE C in your handout notes), respectively.
Transcribed Image Text:Problem#4* - Design the optimal location of triggering flow transition to maximize the cooling efficiency of a flat plate. The boundary layer associated with parallel flow over an isothermal plate may be "tripped" at any x- location by using a fine wire that is stretched across the width of the plate. Determine the value of the critical Reynolds number Rex,c, that is associated with the optimal location of the trip wire from the leading edge that will result in maximum heat transfer from a warm plate to a cooler fluid. Assume the Nusselt number correlations provided in the text for laminar and turbulent flows apply in the laminar and turbulent regions (mixing laminar and turbulent flows, CASE C in your handout notes), respectively.
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