This article presents a generalized analytical model of the wind fields of tropical cyclones by appropriately assuming viscous terms in the equations governing the dynamics of tropical cyclones. The whole derivation is based on the radial velocity component, which depends on radial and axial coordinates. Additional flow parameters, such as azimuthal velocity, axial velocity, and pressure, are derived analytically by solving the equations of motion. All flow variables are plotted graphically to study their dynamics. The axial velocity peaks at the eye-wall interface regardless of the size of the eye-wall region, and the maximum axial velocity also increases with contraction of the eye-wall region. The updraft is always concentrated near the eye and rises rapidly if the size of the tropical cyclone's eye is larger than the thickness of the eyewall region. The size of the cyclone's eye has a significant effect on tropical cyclones; a large eye relative to the cyclone's width, due to viscous effects, generates a stronger storm surge in the eyewall region, which diminishes in intensity in the rain band. In addition, we examined the effects of viscosity and the size of the inner and outer regions on the wind fields. The results indicate a direct relationship between the size of the inner and outer regions and the tropical cyclones intensity. Narrower eyewalls indicate stronger tropical cyclones, and wider eyewalls indicate weaker tropical cyclones. As the eyewall of a tropical cyclone expands, the low-pressure center also expands vertically, and the pressure deficit becomes more pronounced and localized within the narrow eyewall. The results have also been validated using the observed data.
Maurya et al. (Thu,) studied this question.