Question

A velocity field for a particular flow under consideration is found to be given by: \vec{v} = -Ay\hat{i} + Ax\hat{j} where $A$ is a positive constant. Find: \begin{itemize} \item The dimensions of $A$ \item Calculate the individual components of the acceleration field i.e. $\frac{D\vec{v}}{Dt}$ \item Find the equation for the streamline passing through a fixed point $(x_0, y_0)$. \item Assume that, in SI units, $A=2.0$ and make a contour plot of the streamlines on the range $-2.0 < x < 2.0$ and $-2.0 < y < 2.0$. Make sure to plot the direction of the flow along the streamlines. \item Describe in words the nature of the flow field. \end{itemize}

          A velocity field for a particular flow under consideration is found to be given by:

\vec{v} = -Ay\hat{i} + Ax\hat{j}

where $A$ is a positive constant. Find:

\begin{itemize}
    \item The dimensions of $A$
    \item Calculate the individual components of the acceleration field i.e. $\frac{D\vec{v}}{Dt}$
    \item Find the equation for the streamline passing through a fixed point $(x_0, y_0)$.
    \item Assume that, in SI units, $A=2.0$ and make a contour plot of the streamlines on the range $-2.0 < x < 2.0$ and $-2.0 < y < 2.0$. Make sure to plot the direction of the flow along the streamlines.
    \item Describe in words the nature of the flow field.
\end{itemize}

A velocity field for a particular flow under consideration is found to be given by:

v⃗ = -Ayî + Axĵ

where A is a positive constant. Find:

* The dimensions of A

* Calculate the individual components of the acceleration field i.e. (Dv⃗)/(Dt)

* Find the equation for the streamline passing through a fixed point (x0, y0).

* Assume that, in SI units, A=2.0 and make a contour plot of the streamlines on the range -2.0 < x < 2.0 and -2.0 < y < 2.0. Make sure to plot the direction of the flow along the streamlines.

* Describe in words the nature of the flow field.

Added by Jacqueline G.

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