摘要
A new kind of method, the method of successive substitution, for solving velocity correlation functions is presented. As application of this method, the first order approximation solution in the turbulent channel flow is given numerically and then put into the equations of turbulent fluctuation which are solved numerically within the range of micro-scale by means of spectrum method and finite-difference method. By averaging fluctuating velocity, the second order approximation solutions of double fluctuating velocity correlation and other higher order correlations are obtained by computation. Putting the second approximation solution into equations of turbulent fluctuation, the solutions of different order correlations are given. These results are in good agreement with experimental results [1, 2, 3].
A new kind of method, the method of successive substitution, for solving velocity correlation functions is presented. As application of this method, the first order approximation solution in the turbulent channel flow is given numerically and then put into the equations of turbulent fluctuation which are solved numerically within the range of micro-scale by means of spectrum method and finite-difference method. By averaging fluctuating velocity, the second order approximation solutions of double fluctuating velocity correlation and other higher order correlations are obtained by computation. Putting the second approximation solution into equations of turbulent fluctuation, the solutions of different order correlations are given. These results are in good agreement with experimental results [1, 2, 3].
