Dimensional Layer Flow Transition Calculation And Application

Two-dimensional incompressible linear stability theory was mainly discussed in the thesis. Our principal works were focused in predicting the transition of Two-dimensional incompressible flow, which based on numerical analysis of stability. As the complexity of equation deducing and programming of linear stability theory, artificial intelligence was involved in assisting us to overcome the difficulty. We deduced the equation by ourselves in order to verify the validity of the procedure that we used to deduce the equation. With the foundation of incompressible flow we obtained the linear stability equation of compressible flow. Next we give the numerical method to solve the equation for spatial amplification theory in detail. We used the block-elimination method to solve the first-order system deduced from small-disturbance equation (linear stability equation) and got the different eigenvalues varied with Reynolds numbers. According to illustrating the Re-αr curves and neutral lines we can depict some features about instability of incompressible flow with different condition. At last e~n method was used to predict the transition and we got lots of datum by calculating the similar solution of Falkner-skan equation with different pressure gradient parameters. In order to apply the results to airfoil design and calculating, we present several predicting curves of transition. Compared it with that given by Douglas Aircraft Company, there was a very good coincidence between them.