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Important aspects of the basic structure of a mature tropical cyclone can be deduced from two (2) simple equations that express an exact balance of forces in the vertical and radial directions. These equations enable one to develop a theory for the primary circulation. Let us assume steady flow (a/at = 0) and let us ignore the secondary circulation, i.e. we assume that the radial velocity is identically zero. This reduces to the gradient wind equation which could be obtained from the exact differential equation *+1) av - 4)' dr = 0 where f is the Coriolis parameter. Find the gradient wind equation when v and r are v =' and r =- where p is the air density (another parameter). Rotation axis Low pressure centre Primary circulation Pressure gradient force Centrifugal force and Coriolis force Gradient wind balance

Important aspects of the basic structure of a mature tropical cyclone can be deduced from two (2) simple equations that express an exact balance of forces in the vertical and radial directions. These equations enable one to develop a theory for the primary circulation. Let us assume steady flow (a/at = 0) and let us ignore the secondary circulation, i.e. we assume that the radial velocity is identically zero. This reduces to the gradient wind equation which could be obtained from the exact differential equation *+1) av - 4)' dr = 0 where f is the Coriolis parameter. Find the gradient wind equation when v and r are v =' and r =- where p is the air density (another parameter). Rotation axis Low pressure centre Primary circulation Pressure gradient force Centrifugal force and Coriolis force Gradient wind balance

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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TRY! Important aspects of the basic structure of a mature tropical cyclone can be deduced from two (2) simple equations that express an exact balance of forces in the vertical and radial directions. These equations enable one to develop a theory for the primary circulation. Let us assume steady flow (@/at = 0) and let us ignore the secondary circulation, i.e. we assume that the radial velocity is identically zero. This reduces to the gradient wind equation which could be obtained from the exact differential equation dr = 0 where f is the Coriolis parameter. Find the gradient wind equation when v and r are and where p is the air density (another parameter). Rotation axis Low pressure centre Primary circulation Pressure gradient force Centrifugal force and Coriolis force Gradient wind balance
Transcribed Image Text:TRY! Important aspects of the basic structure of a mature tropical cyclone can be deduced from two (2) simple equations that express an exact balance of forces in the vertical and radial directions. These equations enable one to develop a theory for the primary circulation. Let us assume steady flow (@/at = 0) and let us ignore the secondary circulation, i.e. we assume that the radial velocity is identically zero. This reduces to the gradient wind equation which could be obtained from the exact differential equation dr = 0 where f is the Coriolis parameter. Find the gradient wind equation when v and r are and where p is the air density (another parameter). Rotation axis Low pressure centre Primary circulation Pressure gradient force Centrifugal force and Coriolis force Gradient wind balance
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