Consider a steady, turbulent boundary layer on an isothermal flat plate of temperature Ts- The boundary layer

Question:

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 τs = 0.0228pu2∞ (u∞δ/v)-1/4. Beginning with the momentum integral equation (Appendix F), show that δ/x = 0.376Rex-1/5. Determine the average friction coefficient Cf,x'

(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 Nux-.