Coriolis Module - Revision history

AnnieB at 20:01, 30 April 2015

2015-04-30T20:01:21Z

AnnieB at 20:00, 30 April 2015

2015-04-30T20:00:44Z

AnnieB at 20:00, 30 April 2015

2015-04-30T20:00:27Z

AnnieB at 19:59, 30 April 2015

2015-04-30T19:59:50Z

AnnieB at 19:58, 30 April 2015

2015-04-30T19:58:40Z

AnnieB at 19:51, 30 April 2015

2015-04-30T19:51:03Z

AnnieB at 19:50, 30 April 2015

2015-04-30T19:50:02Z

AnnieB at 19:49, 30 April 2015

2015-04-30T19:49:36Z

AnnieB at 19:48, 30 April 2015

2015-04-30T19:48:38Z

AnnieB at 19:47, 30 April 2015

2015-04-30T19:47:50Z

← Older revision		Revision as of 20:01, 30 April 2015
Line 22:		Line 22:


−	[[File:camera_not_mounted.~~jpeg~~\|300px]] [[File:~~camera_mounted~~.~~jpeg~~\|300px]]	+	[[File:camera_not_mounted.jpg\|300px]] [[File:mounted_camera.jpg\|300px]]

← Older revision		Revision as of 20:00, 30 April 2015
Line 22:		Line 22:


−	[[File:~~camera not mounted~~.jpeg\|300px]] [[File:~~camera mounted~~.jpeg\|300px]]	+	[[File:camera_not_mounted.jpeg\|300px]] [[File:camera_mounted.jpeg\|300px]]

← Older revision		Revision as of 20:00, 30 April 2015
Line 22:		Line 22:


−	[[File:camera not mounted.~~png~~\|300px]] [[File:camera mounted.~~png~~\|300px]]	+	[[File:camera not mounted.jpeg\|300px]] [[File:camera mounted.jpeg\|300px]]

← Older revision		Revision as of 19:59, 30 April 2015
Line 22:		Line 22:


−	~~<insert picture here>~~	+	[[File:camera not mounted.png\|300px]] [[File:camera mounted.png\|300px]]

@@ Line 28: / Line 28: @@
 For this video demonstration, a non-rotating reference frame is taken into consideration.  Think of an astronaut in outer space, above the Earth, watching it rotating below her.
-{{#ev:youtube|LxZQm4lPwkM}}
+{{#ev:youtube|3qmprXvC5Ts}}
@@ Line 68: / Line 68: @@
 Now we will look at fluids in action.  The following video shows a bucket of water that spins in a rotating reference frame.  At certain points in the video, color dye is added to show rotation within the fluid.
-{{#ev:youtube|3qmprXvC5Ts}}
+{{#ev:youtube|LxZQm4lPwkM}}

← Older revision		Revision as of 19:51, 30 April 2015
Line 227:		Line 227:
	The Rossby number defines how important the Coriolis force is driving flow. If a system has a high Rossby number (the inertial force is much higher than the Coriolis force) the Coriolis force is of relatively low importance in driving flow. In this situation, the inertial force is the main driver of flow. The opposite is also true. When a system has a low Rossby number (the inertial force is much smaller than the Coriolis force), inertial force is relatively unimportant and Coriolis force is the main driver of flow.		The Rossby number defines how important the Coriolis force is driving flow. If a system has a high Rossby number (the inertial force is much higher than the Coriolis force) the Coriolis force is of relatively low importance in driving flow. In this situation, the inertial force is the main driver of flow. The opposite is also true. When a system has a low Rossby number (the inertial force is much smaller than the Coriolis force), inertial force is relatively unimportant and Coriolis force is the main driver of flow.

−	The Rossby number is key to understanding a common myth. You might have heard that sinks in the Northern Hemisphere drain in one direction, while sinks in the Southern Hemisphere drain in the other direction due to the Coriolis force. By examining the Rossby number of a draining sink, we can tell that this is not true; the Rossby number is too big. In other words, the other inertial forces are far stronger than the Coriolis force at the scale of a draining sink. The direction of the vorticity in the drain is caused by the shape of the sink and the direction that the water is	+	The Rossby number is key to understanding a common myth. You might have heard that sinks in the Northern Hemisphere drain in one direction, while sinks in the Southern Hemisphere drain in the other direction due to the Coriolis force. By examining the Rossby number of a draining sink, we can tell that this is not true; the Rossby number is too big. In other words, the other inertial forces are far stronger than the Coriolis force at the scale of a draining sink. The direction of the vorticity in the drain is caused by the shape of the sink and the direction that the water is forced in, not the rotation of the Earth.

← Older revision		Revision as of 19:50, 30 April 2015
Line 196:		Line 196:


−	[[File:geostrophic.png\|~~300px~~]]	+	[[File:geostrophic.png\|250px]]


Line 222:		Line 222:


−	[[File:rossby.png\|~~300px~~]]	+	[[File:rossby.png\|250px]]

@@ Line 3: / Line 3: @@
- [[File:storm.png|700px|center]]
+[[File:storm.png|700px|center]]
 Today in this module we will discuss the implications of the Earth in rotation.  As you are reading this, the Earth is rotating at a rate of 40,075 kilometers per day (at the equator).  As we will learn, this motion will have an important effect on long distance trajectories and large-scale fluids like ocean currents and large scale atmospheric flows.
@@ Line 89: / Line 89: @@
- [[File:bucket1.png|300px]]          [[File:bucket2.png|300px]]          [[File:bucket3.png|300px]]
+[[File:bucket1.png|300px]]          [[File:bucket2.png|300px]]          [[File:bucket3.png|300px]]
@@ Line 107: / Line 107: @@
 Imagine that the world is not spinning but is stationary. Draw a trajectory between high and low pressure.
- [[File:blank_circle.png|300px]]
+[[File:blank_circle.png|300px]]
 There are two possibilities:
- [[File:circleA_B1.png|300px]]     or     [[File:circleAB2.png|300px]]
+[[File:circleA_B1.png|300px]]     or     [[File:circleAB2.png|300px]]
@@ Line 196: / Line 196: @@
- [[File:geostrophic.png|300px]]
+[[File:geostrophic.png|300px]]

← Older revision		Revision as of 19:48, 30 April 2015
Line 196:		Line 196:


−	[[File:geostrophic.png\|~~600px~~]]	+	[[File:geostrophic.png\|300px]]


Line 222:		Line 222:


−	[[File:rossby.png\|~~600px~~]]	+	[[File:rossby.png\|300px]]

@@ Line 196: / Line 196: @@
-Ω ⃗R ⃗=∇p
+ [[File:geostrophic.png|600px]]
@@ Line 207: / Line 207: @@
 Now let’s go back to the Navier-Stokes equation:
-ρ ∂U/∂t=∆ρg+μ∇^2 U ⃗+∇p-2Ω ⃗R ⃗+Ω ⃗^2 R ⃗
 Which terms drive the flow of water down your drain?  Do you think the Coriolis effect influences water that drains in a sink?
@@ Line 220: / Line 222: @@
-Ro=U/(L2Ω ⃗R ⃗ )
+[[File:rossby.png|600px]]