On the structure and stability of the hurricane eyewall

Table 1.

Typical values of the hurricane steady-state parameters at the mature stagesParameterValueRemarkNoteV₀$\sim 50{ \mathrm{m} \mathrm{s}}^{-1}$Maximum tangential wind at the surfacePrescribedW₀$\sim 1{ \mathrm{m} \mathrm{s}}^{-1}$Maximum vertical wind in the eyewallDerivedr₁$2\times {10}^4 \mathrm{m}$The radius of the eyewall inner edgePrescribedr₂$3\times {10}^4 \mathrm{m}$The radius of the eyewall outer edgePrescribedH$1\times {10}^4 \mathrm{m}$Scale height of the tropospherePrescribedδ$\sim 5\times {10}^{-5}{ \mathrm{s}}^{-2}$The diabatic heating feedback coefficientPrescribedΛ$\sim {10}^{-5}{ \mathrm{s}}^{-2}$The radial gradient of buoyancyDerivedγ$\sim {10}^{-4}{ \mathrm{s}}^{-1}$Radiative cooling coefficientPrescribedβ$5\times {10}^{-3}-1\times {10}^{-2}{ \mathrm{s}}^{-1}$Surface drag coefficientDerivedA$\sim 5\times {10}^{-3}{ \mathrm{m} \mathrm{s}}^{-2}$External forcing term stressDerivedν$\sim 1-10{ \mathrm{m}}^2{ \mathrm{s}}^{-1}$Viscosity coefficientPrescribed