A New Term in the Equation of Atmospheric Motion

[摘要] Let equations of an air be Where U east component, V north component of velocity, _??_ density of the air, P pressure, l Coriolis factor. By putting and averaging on cirtain time interval and space, (1) becomes where U, V are velocity components of mean motion. The third and fourth term of the rlant. hand side of the above equation are so called Reynold's stresses force, which the author proposed here.Driving equation (2), the Coriolis fäctor l is thought generally independent of y, but exactly it is the function of latltude and hence l is dependent of y Following analogous consideration for the eddy viscosity, the magnitude of the fifth term is estimated to be Where _??_y is mixing length, and _??_ eddy kinematic viscosity.Thus the equations of atmospheric motion are Next, the equation of general circulation of atmosphere are deduced as follows by assuming consevation of angular momentum and following analogous ideas as above.Where U westerly winds, _??_ latitude, R radiu_??_ of the earth, ω angular velocity of earths rotation, _??_ cirtain constant. approximately, except at the immediafe neighbourhood of the pole where the equation becomes Numerical example which calculated by equation (6) and (7) is shown in Figure. Easterlies at tropics are about 10m/sec, Position of middle latitude high is 35.2°, westerlies of high latitude are 16m/sec, easterlies at the pole and discontinuity must exist between easterlies of pole and the westerlies.These natures agree with actual circulation at least qualitatively.

[学科分类] 大气科学