Announcements
• HW5 is due at the end of today’s class period
• Exam 2 is due next Wednesday (4 Nov) • Let me know if you have any conflicts or problems with this due date related to election day on 3 Nov • The exam will be posted on the class Canvas web page after Friday’s review session on 30 Oct • The exam will be a closed book exam but you will be allowed to use one double-sided cheat sheet • You should plan to complete the exam in one sitting in about 2 hours • The completed exam needs to be e-mailed to me by no later than 1:45PM on Wednesday 4 Nov
• During Friday’s review session I will be happy to answer any questions about material that may be on exam 2 Balanced Flow
• We will consider balanced flows in which the wind is parallel to height (pressure) contours and the horizontal momentum equation reduces to:
� �Φ + �� = − � ��
• We will look at all possible force balances represented by this equation and consider when each of these balances is most appropriate. Balanced Flow: Inertial Flow
• Assume negligible pressure gradient
� + �� = 0 �
• What is the path followed by an air parcel for this force balance?
� � = − � Antarctic Inertial Flow Balanced Flow: Cyclostrophic Flow
" ! • Rossby number: �� = # = • What conditions result in a large Rossby number?
• What does a large Rossby number imply about the force balance acting on the flow?
�! �Φ = − � �� Balanced Flow: Cyclostrophic Flow
• Can cyclostrophic flow occur around both low and high pressure centers?
�Φ . � = −� �� Balanced Flow: Cyclostropic Flow
Example: A tornado is observed to have a radius of 600 m and a wind speed of 130 m s-1
- What is the Rossby number for this flow?
- Estimate the pressure at the center of this tornado, assuming that the pressure at the outer edge of the tornado is 1000 mb.
Hint: Express the cyclostrophic balance in terms of pressure rather than geopotential gradient. You may assume r = 1 kg m-3 Balanced Flow: Geostrophic Wind