2) Martin Problem 1.5 The simplest way to approach this problem is to think about how these idealized flows impact rectangular fluid parcels centered at the origin (as we considered in class during our overview of kinematics) with the top and bottom sides attached to the isotherms. a) A field of pure vorticity has no impact on the shape or horizontal cross-sectional area of fluid parcels in the x-y plane. Therefore the flow will simply rotate the isotherms about the origin. As a consequence, a field of pure vorticity only changes the direction of VI. The magnitude will not change. The isotherms are simply rotated in a cyclonic direction. Furthermore, the initial orientation of the isotherms does not affect the answer to the question, because the flow field is symmetric around the origin. b) A field of pure convergence has no impact on the shape or orientation of fluid parcels in the x-y plane. This flow will simply reduce the horizontal cross-sectional area of fluid parcels in the x-y plane. Thus, the magnitude of VT will increase in a field of pure convergence as the top and bottom isotherms converge towards the middle isotherm. The direction of VT does not change. Similar to (a), the orientation of the isotherms does not affect the answer to the question, because the flow field is symmetric about the origin Please read the (a) and (b) and then think about how to resolve the problem (c). 2) Martin Problem 1.5 The simplest way to approach this problem is to think about how these idealized flows impact rectangular fluid parcels centered at the origin (as we considered in class during our overview of kinematics) with the top and bottom sides attached to the isotherms. a) A field of pure vorticity has no impact on the shape or horizontal cross-sectional area of fluid parcels in the x-y plane. Therefore the flow will simply rotate the isotherms about the origin. As a consequence, a field of pure vorticity only changes the direction of VI. The magnitude will not change. The isotherms are simply rotated in a cyclonic direction. Furthermore, the initial orientation of the isotherms does not affect the answer to the question, because the flow field is symmetric around the origin. b) A field of pure convergence has no impact on the shape or orientation of fluid parcels in the x-y plane. This flow will simply reduce the horizontal cross-sectional area of fluid parcels in the x-y plane. Thus, the magnitude of VT will increase in a field of pure convergence as the top and bottom isotherms converge towards the middle isotherm. The direction of VT does not change. Similar to (a), the orientation of the isotherms does not affect the answer to the question, because the flow field is symmetric about the origin Please read the (a) and (b) and then think about how to resolve the problem (c)