Dispersion Relation Of Wave In F-F-plane

With the advancement of science,many experts and scholars' research on the earth's fluids is becoming more and more complicated.The movements and changes of the atmosphere and ocean are closely related to human life.According to the all-round studies of the earth's fluids by experts and scholars in recent years,it has been found that in the planetary-scale atmospheric motion,the horizontal component F of the earth's rotation plays an important role in it,and it cannot be ignored at will,and the Rossby parameter ? is in the ?-plane mode,the effect on the wave is also extremely important.For this purpose,in the second chapter of this paper,two methods are used to calculate the orthogonal expansion of the Earth's rotation vertical component f and obtain the ? effect.In the positive pressure atmosphere,the two factors of the earth's rotating horizontal component F and ? effect are considered simultaneously.Under the combined effect of these two factors,the motion laws and dispersion relations of some waves are calculated.In the study of the dispersion relationship of waves,two models are adopted for discussion.By considering the influence of the horizontal rotation components F and ? effect on the wave propagation law,we can more accurately and truly characterize the dispersion relationship of some wavesIn addition,Rossby wave is an important wave in the atmosphere and ocean,and is an important research object in large-scale motion.For weather phenomena in the middle and high latitudes,the Rossby wave in the barometric atmospheric model can be used to describe it.The third chapter of this article is the study of Rossby waves in the barometric atmospheric model.We analyzed the dispersion relationship and instability of the barotropic Rossby wave under the combined action of topography and ? effect under the quasi-geotropic vortex equation of ? effect.The effects of basic flow,terrain,and ? effect on the structure of Rossby waves are discussed And get the dispersion relation of Rossby wave,then get the phase velocity and group velocity.Finally,it is shown that terrain in different directions has a large difference in the instability of Rossby waves.