969: Delta-P - Revision history

Whoop whoop pull up: /* Explanation */ Fixing link.

2025-11-18T00:27:57Z

‎Explanation: Fixing link.

217.171.54.115: speed of sound in air

2025-07-13T08:37:25Z

speed of sound in air

1234231587678: which valley though? at "the valley would quickly flood"

2025-03-25T03:58:18Z

which valley though? at "the valley would quickly flood"

172.69.222.68 at 19:31, 25 December 2024

2024-12-25T19:31:59Z

172.68.110.210: '->,.

2024-12-25T13:39:52Z

'->,.

172.70.176.102: /* Explanation */ The equation is actually from Bernoulli's principle, as given on the page on the Hagen-Pouiselle equanion. \Delta P = 1/2 \rho v_{max}^2 = 1/2 \rho (Q_{max}/A)^2 so Q_{max} = A \sqrt{2 \Delta p / \rho}

2024-09-11T05:42:35Z

‎Explanation: The equation is actually from Bernoulli's principle, as given on the page on the Hagen-Pouiselle equanion. \Delta P = 1/2 \rho v_{max}^2 = 1/2 \rho (Q_{max}/A)^2 so Q_{max} = A \sqrt{2 \Delta p / \rho}

141.101.99.146: Undo revision 333926 by 172.71.150.18 (talk) No furries here. (Unseen anthropomorphic animal characters don't count.)

2024-01-31T22:07:17Z

Undo revision 333926 by 172.71.150.18 (talk) No furries here. (Unseen anthropomorphic animal characters don't count.)

172.71.150.18 at 20:27, 31 January 2024

2024-01-31T20:27:31Z

162.158.238.206: typo

2022-12-26T07:06:49Z

typo

172.69.79.211: /* Explanation */ Better word, because it would definitely cause problems for far more than just 10%.of the total.

2022-08-28T18:39:51Z

‎Explanation: Better word, because it would definitely cause problems for far more than just 10%.of the total.

@@ Line 16: / Line 16: @@
 This water would not freeze. First it would devastate any forest trees or iron lamp posts in front of it until it eventually slowed down and fell to the ground, creating a rapidly expanding river of sea water. Narnia would not stay frozen for long, as snow would melt, ice would break apart and the valley would quickly flood.
-Delta-P is a mathematical term for the difference in pressure. The {{w|Hagen–Poiseuille equation}} which can be applied to a flowing liquid in a long cylindrical pipe results in an unphysically high flow rate because the opening is rectangular and too short for a {{w|Laminar flow|laminar flow}}. However, one can use {{w|Bernoull's principle}} to bound the flow velocity, even in the case of turbulent flow. The maximum flow rate is given by:
+Delta-P is a mathematical term for the difference in pressure. The {{w|Hagen–Poiseuille equation}} which can be applied to a flowing liquid in a long cylindrical pipe results in an unphysically high flow rate because the opening is rectangular and too short for a {{w|Laminar flow|laminar flow}}. However, one can use {{w|Bernoulli's principle}} to bound the flow velocity, even in the case of turbulent flow. The maximum flow rate is given by:
 :<math>Q_\max{} = \pi R^2 \sqrt\frac{2 \Delta P}{\rho}</math>
 :<math>\pi R^2</math> is the pipe cross-sectional area (m<sup>2</sup>) and <math>\rho</math> is the fluid density (kg/m<sup>3</sup>).

@@ Line 12: / Line 12: @@
 The evil {{w|White Witch}}, who has made it [http://www.goodreads.com/quotes/93155-always-winter-but-never-christmas "always winter, and never Christmas,"] could not have anticipated that a wardrobe portal would suddenly begin spewing approximately 400,000 liters of water per second into Narnia.{{Citation needed}}
-Sea water freezes at low temperatures and flowing water freezes at even lower temperatures, depending how fast it is going. Water jetting out from this portal would be flowing very quickly indeed, approximately 200 meters per second (450 mph or 720 km/h) as the comic says; this is over half the speed of sound.
+Sea water freezes at low temperatures and flowing water freezes at even lower temperatures, depending how fast it is going. Water jetting out from this portal would be flowing very quickly indeed, approximately 200 meters per second (450 mph or 720 km/h) as the comic says; this is over half the speed of sound in air.
 This water would not freeze. First it would devastate any forest trees or iron lamp posts in front of it until it eventually slowed down and fell to the ground, creating a rapidly expanding river of sea water. Narnia would not stay frozen for long, as snow would melt, ice would break apart and the valley would quickly flood.

@@ Line 12: / Line 12: @@
 The evil {{w|White Witch}}, who has made it [http://www.goodreads.com/quotes/93155-always-winter-but-never-christmas "always winter, and never Christmas,"] could not have anticipated that a wardrobe portal would suddenly begin spewing approximately 400,000 liters of water per second into Narnia.{{Citation needed}}
-Sea water freezes at low temperatures and flowing water freezes at even lower temperatures, depending how fast it is going. Water jetting out from this portal would be flowing very quickly indeed, approximately 200 meters per second (450 mph or 720 km/h) as the comic says; this is over half the speed of sound. And the water flow is approximately 400,000 liters per second, again, provided in the image above. The force of this water jet would be incredible.
+Sea water freezes at low temperatures and flowing water freezes at even lower temperatures, depending how fast it is going. Water jetting out from this portal would be flowing very quickly indeed, approximately 200 meters per second (450 mph or 720 km/h) as the comic says; this is over half the speed of sound.
-This water would not freeze. First it would devastate any forest trees or iron lamp posts in front of it until it eventually slowed down and fell to the ground. There it would create a rapidly expanding river of sea water. Narnia would not stay frozen for long. Snow would melt, ice would break apart and the valley would quickly flood.
+This water would not freeze. First it would devastate any forest trees or iron lamp posts in front of it until it eventually slowed down and fell to the ground, creating a rapidly expanding river of sea water. Narnia would not stay frozen for long, as snow would melt, ice would break apart and the valley would quickly flood.
 Delta-P is a mathematical term for the difference in pressure. The {{w|Hagen–Poiseuille equation}} which can be applied to a flowing liquid in a long cylindrical pipe results in an unphysically high flow rate because the opening is rectangular and too short for a {{w|Laminar flow|laminar flow}}. However, one can use {{w|Bernoull's principle}} to bound the flow velocity, even in the case of turbulent flow. The maximum flow rate is given by:

@@ Line 24: / Line 24: @@
 Putting this together and changing the cross-sectional area to a rectangular area <math>A</math> we get the formula used by Randall:
 :<math>Q_\max{} = A \sqrt{2 g h}</math>
-Assuming the wardrobe is two meter high and one in width (''A = 2 m<sup>2</sup>'') and using the gravitational constant ''g = 9.81 m/s<sup>2</sup>'' the flow rate is 396 m<sup>3</sup> per second, or roughly 400,000 liters per second.
+Assuming the wardrobe is two meter high and one in width (''A = 2 m<sup>2</sup>'') and using the gravitational constant ''g = 9.81 m/s<sup>2</sup>'' the flow rate is 396 m<sup>3</sup> per second, or 396,000 liters per second.
 The water jet velocity ''v'' is based on {{w|Torricelli's law}}:
 :<math>v=\sqrt{{2 g}{h}}</math>

@@ Line 16: / Line 16: @@
 This water would not freeze. First it would devastate any forest trees or iron lamp posts in front of it until it eventually slowed down and fell to the ground. There it would create a rapidly expanding river of sea water. Narnia would not stay frozen for long. Snow would melt, ice would break apart and the valley would quickly flood.
-Delta-P is a mathematical term for the difference in pressure. The {{w|Hagen–Poiseuille equation}} which can be applied to a flowing liquid in a long cylindrical pipe results in an unphysically high flow rate because the opening is rectangular and too short for a {{w|Laminar flow|laminar flow}}. However' one can use {{w|Bernoull's principle}} to bound the flow velocity, even in the case of turbulent flow. The maximum flow rate is given by:
+Delta-P is a mathematical term for the difference in pressure. The {{w|Hagen–Poiseuille equation}} which can be applied to a flowing liquid in a long cylindrical pipe results in an unphysically high flow rate because the opening is rectangular and too short for a {{w|Laminar flow|laminar flow}}. However, one can use {{w|Bernoull's principle}} to bound the flow velocity, even in the case of turbulent flow. The maximum flow rate is given by:
 :<math>Q_\max{} = \pi R^2 \sqrt\frac{2 \Delta P}{\rho}</math>
 :<math>\pi R^2</math> is the pipe cross-sectional area (m<sup>2</sup>) and <math>\rho</math> is the fluid density (kg/m<sup>3</sup>).

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← Older revision		Revision as of 20:27, 31 January 2024
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	[[Category:Chronicles of Narnia]]		[[Category:Chronicles of Narnia]]
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@@ Line 14: / Line 14: @@
 Sea water freezes at low temperatures and flowing water freezes at even lower temperatures, depending how fast it is going. Water jetting out from this portal would be flowing very quickly indeed, approximately 200 meters per second (450 mph or 720 km/h) as the comic says; this is over half the speed of sound. And the water flow is approximately 400,000 liters per second, again, provided in the image above. The force of this water jet would be incredible.
-This water would not freeze. First it would decimate any forest trees or iron lamp posts in front of it until it eventually slowed down and fell to the ground. There it would create a rapidly expanding river of sea water. Narnia would not stay frozen for long. Snow would melt, ice would break apart and the valley would quickly flood.
+This water would not freeze. First it would devastate any forest trees or iron lamp posts in front of it until it eventually slowed down and fell to the ground. There it would create a rapidly expanding river of sea water. Narnia would not stay frozen for long. Snow would melt, ice would break apart and the valley would quickly flood.
 Delta-P is a mathematical term for the difference in pressure. The shown formula is based on the {{w|Hagen–Poiseuille equation}} which can be applied to a flowing liquid in a long cylindrical pipe; thus the equation here results in an unphysically high flow rate because the opening is rectangular and too short for a {{w|Laminar flow|laminar flow}}. Using the ''Hagen–Poiseuille equation'' the maximum flow rate is given by: