Consider a steady, turbulent boundary layer on an

Chapter , Problem 7.6

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Consider a steady, turbulent boundary layer on an isothermal flat plate of temperature Ts. The boundary layer is tripped at the leading edge x 0 by a fine wire. Assume constant physical properties and velocity and temperature profiles of the form (a) From experiment it is known that the surface shear stress is related to the boundary layer thickness by an expression of the form s 0.0228 u2 u 1/4 u u y 1/7 and T T Ts T 1 y t 1/7 Beginning with the momentum integral equation (Appendix G), show that /x 0.376 Rex 1/5. Determine the average friction coefficient . (b) Beginning with the energy integral equation, obtain an expression for the local Nusselt number Nux and use this result to evaluate the average Nusselt number

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