Integral Kinetic Energy Equation Idea: Integrate BL Aow in y, to"wash out"details in u(y) profile Converts PDEs in a, y into ODE in s (x,y) Combine Continuity, -momentum equation [ax+=0 87x ax Pee dc 2p pu 2(pe -p)uue do Integrate )dy term by term a (pe-p)u due "1 0 2/m (eeuee)+2peu26 due =2D Dimensional form +3-M2 e* du D Dimensionless form pudy kinetic energy thickne less P)2 volume flux thickness Pe ay dissipation integral 6* H kinetic energy shape parameter density thickness shape parameter
1.515+0.076 1.61 H Ct -.067+0.0197(7.4-8k) 成k7.4 H 0.26 0.207+0.00205(4-Hk 4 D 0.207 0.22 0.003(Hk-4) Closure relations-tvD-eguatiom, lami or, integra/ metho one equation (Thwaites) .------.two equation finite difference arious BL calculation metheds