THE THREE-DIMENSIONAL UNSTEADY BOUNDARY LAYER OVER AN IMPULSIVELY STARTED ROTATING DISK

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (10): 975-979.

THE THREE-DIMENSIONAL UNSTEADY BOUNDARY LAYER OVER AN IMPULSIVELY STARTED ROTATING DISK

陈允明

Institute of Mechanics, Chinese Academy of Sciences, Beijing

收稿日期:1984-08-26 出版日期:1985-10-18 发布日期:1985-10-18

THE THREE-DIMENSIONAL UNSTEADY BOUNDARY LAYER OVER AN IMPULSIVELY STARTED ROTATING DISK

Chen Y. M.

Institute of Mechanics, Chinese Academy of Sciences, Beijing

Received:1984-08-26 Online:1985-10-18 Published:1985-10-18

摘要/Abstract

摘要： The unsteady boundary layer over an impulsively started rotating disk is studied, a complete solution describing the smooth transition from vortex diffusion at ωt=0 to Kármán’s steady solution is obtained by series expansion and its numerical continuation. The angle of body streamlines, together with experimental values, are given as the function of time t as well as the moment coefficient C_M and on-coming velocity ω(∞).

关键词: Euler equation, ill-posed problem, formal solution, equation secondaire

Abstract: The unsteady boundary layer over an impulsively started rotating disk is studied, a complete solution describing the smooth transition from vortex diffusion at ωt=0 to Kármán’s steady solution is obtained by series expansion and its numerical continuation. The angle of body streamlines, together with experimental values, are given as the function of time t as well as the moment coefficient C_M and on-coming velocity ω(∞).

Key words: Euler equation, ill-posed problem, formal solution, equation secondaire

陈允明. THE THREE-DIMENSIONAL UNSTEADY BOUNDARY LAYER OVER AN IMPULSIVELY STARTED ROTATING DISK[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(10): 975-979.

Chen Y. M.. THE THREE-DIMENSIONAL UNSTEADY BOUNDARY LAYER OVER AN IMPULSIVELY STARTED ROTATING DISK[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(10): 975-979.

[1]	U. S. VEVEK, B. ZANG, T. H. NEW. A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(9): 1259-1278.
[2]	Wancheng SHENG, Aidi YAO. Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(5): 705-718.
[3]	Yiqiang CHEN, Wenjuan YAO. Mechanical model of round window membrane under reverse excitation[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(10): 1341-1348.
[4]	罗志强陈志敏. Sloshing simulation of standing wave with time-independent finite difference method for Euler equations[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(11): 1475-1488.
[5]	柳建军贺国强康传刚. Nonlinear implicit iterative method for solving nonlinear ill-posed problems[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(9): 1183-1192.
[6]	康传刚贺国强. A mixed Newton-Tikhonov method for nonlinear ill-posed problems[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(6): 741-752.
[7]	沈臻. ON THE WELL POSEDNESS OF INITIAL VALUE PROBLEM FOR EULER EQUATIONS OF INCOMPRESSIBLE INVISCID FLUID(Ⅱ)[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 555-567.
[8]	沈臻. ON THE WELL POSEDNESS OF INITIAL VALUE PROBLEM FOR EULER EQUATIONS OF INCOMPRESSIBLE INVISCID FLUID(Ⅰ)[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 545-554.
[9]	施惟慧;沈臻. FORMAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS AND THE PROJECTIVE LIMIT[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(11): 1281-1289.
[10]	云天铨. BASIC EQUATIONS, THEORY AND PRINCIPLE OF COMPUTATIONAL STOCK MARKET (Ⅲ)-BASIC THEORIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(8): 861-868.
[11]	吴望一;蔡庆东. A NEW NND DIFFERENCE SCHEME OF SECOND-ORDER IN TIME AND SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(6): 617-630.
[12]	陈达段;施惟慧. ON THE FORMAL SOLUTION OF INITIAL VALUE PROBLEM OF NAVIER-STOKES EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1432-1439.
[13]	徐定华;程晋;李明忠. ON THE STABILITY ESTIMATION OF ANALYTIC CONTINUATION FOR POTENTIAL FIELD[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 563-572.
[14]	高正红. UNCONDITIONAL STABLE SOLUTIONS OF THE EULER EQUATIONS FORTWO-AND THREE-D WINGS IN ARBITRARY MOTION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(12): 1209-1220.
[15]	高正红. UNSTEADY TRANSONIC AERODYNAMIC LOADINGS ON THE AIRFOIL CAUSED BY HEAVING, PITCHING OSCILLATIONS AND CONTROL SURFACE[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(9): 805-813.

THE THREE-DIMENSIONAL UNSTEADY BOUNDARY LAYER OVER AN IMPULSIVELY STARTED ROTATING DISK

THE THREE-DIMENSIONAL UNSTEADY BOUNDARY LAYER OVER AN IMPULSIVELY STARTED ROTATING DISK

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价