Given the field of vorticity, together with appropriate boundary conditions, the

Question

Given the field of vorticity, together with appropriate boundary conditions, the inverse of the above equation can be used to obtain the corresponding streamfunction field Psi = nabla^-2 zeta. In a similar manner, we can compute the velocity potential X = nabla^-2 nabla middot V. d. If Psi = my, where m is a constant, sketch the rotational wind V_R using either a simple diagram or 1-2 sentences and compute vorticity. e. If Psi = m(x^2 + y^2), where m is a constant, sketch the rotational wind V_R using either a simple diagram or 1-2 sentences and compute vorticity.

Explanation / Answer

d.Given that Si is equal to my where m is the constant and its value depends on the rotational speed of the wind. The rotational wind and the constant m are directly proportional to each other and when wind speed increases the value of m also increases.

Vorticity = mV2

e.From this equation x2 + y2 can be taken as the equation of a parabola. In a parabola there is a rise and then a fall in its structure. Now the rotational speed is same as in case of 'd' were when wind speed increases the value of x and y also increases.

Vorticity=V(x2 + y2)

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