Culvert formula (Water Overlay) - Revision history

Rudolf@tygron.nl at 14:11, 17 October 2025

2025-10-17T14:11:23Z

← Older revision		Revision as of 14:11, 17 October 2025
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	* <math>w_{l}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the left end of the culvert, relative to {{datum}}.		* <math>w_{l}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the left end of the culvert, relative to {{datum}}.
	* <math>w_{r}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the right end of the culvert, relative to {{datum}}.		* <math>w_{r}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the right end of the culvert, relative to {{datum}}.
	* <math>R_h</math> = The hydraulic radius in the culvert<ref ~~name="~~hydradius~~"/>~~.		* <math>R_h</math> = The hydraulic radius in the culvert{{ref\|hydradius}}.
	* <math>R_w</math> = The wetted perimeter.		* <math>R_w</math> = The wetted perimeter.
	* <math>A</math> = The flow area.		* <math>A</math> = The flow area.
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	* <math>\Delta x</math> = Cell size in meters.		* <math>\Delta x</math> = Cell size in meters.

	~~==Related=~~=		{{article end
			\|related=
	The following topics are related to this formula.		The following topics are related to this formula.
	; Structures		; Structures
Line 63:		Line 64:
	; Models		; Models
	: [[Surface model (Water Overlay)\|Surface model]]		: [[Surface model (Water Overlay)\|Surface model]]

	~~{{article end~~
	\|references=		\|references=
	<references>		<references>
	<ref name=~~"hydradius">~~Hydraulic Radius Equations Formulas Calculator ~~∙ found at:~~ https://www.ajdesigner.com/phphydraulicradius/hydraulic_radius_equation_pipe.php ~~∙ (last visited~~ 2019-02-11~~)</ref>~~		{{ref\|hydradius
			\|name=Hydraulic Radius Equations Formulas Calculator
			\|author=
			\|page=
			\|source=
			\|link=https://www.ajdesigner.com/phphydraulicradius/hydraulic_radius_equation_pipe.php
			\|lastvisit=2019-02-11
			}}
	</references>		</references>
	}}		}}
	{{WaterOverlay formula nav}}		{{WaterOverlay formula nav}}

Frank@tygron.nl at 13:20, 5 March 2024

2024-03-05T13:20:48Z

← Older revision		Revision as of 13:20, 5 March 2024
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	* <math>Q</math> = The potential rate of water flow through the culvert in <math>m^3s^{-1}</math>.		* <math>Q</math> = The potential rate of water flow through the culvert in <math>m^3s^{-1}</math>.
	* <math>\Delta f</math> = The water flow which takes place.		* <math>\Delta f</math> = The water flow which takes place.
	* <math>\Delta t</math> = Computational timestep in seconds.		* <math>\Delta t</math> = Computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.
	* <math>\Delta x</math> = Cell size in meters.		* <math>\Delta x</math> = Cell size in meters.

Frank@tygron.nl at 09:04, 29 January 2024

2024-01-29T09:04:23Z

← Older revision		Revision as of 09:04, 29 January 2024
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	: [[Surface model (Water Overlay)\|Surface model]]		: [[Surface model (Water Overlay)\|Surface model]]

	~~==References=~~=		{{article end
			\|references=
	<references>		<references>
	<ref name="hydradius">Hydraulic Radius Equations Formulas Calculator ∙ found at: https://www.ajdesigner.com/phphydraulicradius/hydraulic_radius_equation_pipe.php ∙ (last visited 2019-02-11)</ref>		<ref name="hydradius">Hydraulic Radius Equations Formulas Calculator ∙ found at: https://www.ajdesigner.com/phphydraulicradius/hydraulic_radius_equation_pipe.php ∙ (last visited 2019-02-11)</ref>
	</references>		</references>
			}}
	{{WaterOverlay formula nav}}		{{WaterOverlay formula nav}}

Frank@tygron.nl at 15:37, 25 January 2024

2024-01-25T15:37:30Z

← Older revision		Revision as of 15:37, 25 January 2024
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	Flow through [[culvert (Water Overlay)\|culvert]]s is based on an open channel flow calculation.		Flow through [[culvert (Water Overlay)\|culvert]]s is based on an open channel flow calculation.

	The actual height of the culvert is at least the height of the terrain on either end of the culvert and the provided threshold height:		The actual datum height of the culvert is at least the height of the terrain on either end of the culvert and the provided threshold height:
	: <math>B_c = \max( T_c , B_l , B_r )</math>		: <math>B_c = \max( T_c , B_l , B_r )</math>

Frank@tygron.nl at 15:37, 25 January 2024

2024-01-25T15:37:09Z

← Older revision		Revision as of 15:37, 25 January 2024
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	* <math>h_f</math> = The (flow) height of the water inside the culvert.		* <math>h_f</math> = The (flow) height of the water inside the culvert.
	* <math>T_c</math> = The [[Culvert threshold (Water Overlay)\|CULVERT_THRESHOLD]] attribute of the culvert.		* <math>T_c</math> = The [[Culvert threshold (Water Overlay)\|CULVERT_THRESHOLD]] attribute of the culvert.
	* <math>B_c</math> = The [[Terrain height (Water Overlay)\|~~surface~~ height]] of the base of the culvert.		* <math>B_c</math> = The [[Terrain height (Water Overlay)\|datum height]] of the base of the culvert.
	* <math>w_{l}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the left end of the culvert, relative to {{datum}}.		* <math>w_{l}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the left end of the culvert, relative to {{datum}}.
	* <math>w_{r}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the right end of the culvert, relative to {{datum}}.		* <math>w_{r}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the right end of the culvert, relative to {{datum}}.

Frank@tygron.nl at 13:19, 22 September 2023

2023-09-22T13:19:25Z

← Older revision		Revision as of 13:19, 22 September 2023
Line 48:		Line 48:
	* <math>A</math> = The flow area.		* <math>A</math> = The flow area.
	* <math>K</math> = Circular flow area, based on the height of the water in the (circular) culvert.		* <math>K</math> = Circular flow area, based on the height of the water in the (circular) culvert.
	* <math>g</math> = ~~Acceleration factor of~~ gravity.		* <math>g</math> = {{gravity}}.
	* <math>L</math> = The length of the culvert, calculated as the distance between the culvert's endpoints.		* <math>L</math> = The length of the culvert, calculated as the distance between the culvert's endpoints.
	* <math>U</math> = Loss coefficient for culverts.		* <math>U</math> = Loss coefficient for culverts.

Frank@tygron.nl at 10:00, 27 October 2022

2022-10-27T10:00:13Z

← Older revision		Revision as of 10:00, 27 October 2022
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	* <math>A</math> = The flow area.		* <math>A</math> = The flow area.
	* <math>K</math> = Circular flow area, based on the height of the water in the (circular) culvert.		* <math>K</math> = Circular flow area, based on the height of the water in the (circular) culvert.
	* <math>g</math> = Acceleration factor of ~~[[Gravity (Water Overlay)\|GRAVITY]], defined for the Water Overlay~~.		* <math>g</math> = Acceleration factor of gravity.
	* <math>L</math> = The length of the culvert, calculated as the distance between the culvert's endpoints.		* <math>L</math> = The length of the culvert, calculated as the distance between the culvert's endpoints.
	* <math>U</math> = Loss coefficient for culverts.		* <math>U</math> = Loss coefficient for culverts.

Frank@tygron.nl at 09:59, 27 October 2022

2022-10-27T09:59:24Z

← Older revision		Revision as of 09:59, 27 October 2022
Line 52:		Line 52:
	* <math>U</math> = Loss coefficient for culverts.		* <math>U</math> = Loss coefficient for culverts.
	* <math>n</math> = The [[Culvert n (Water Overlay)\|CULVERT_N]] attribute of the culvert.		* <math>n</math> = The [[Culvert n (Water Overlay)\|CULVERT_N]] attribute of the culvert.
	* <math>Q</math> = The potential rate of water flow through the culvert in <math>m^~~3/s~~</math>.		* <math>Q</math> = The potential rate of water flow through the culvert in <math>m^3s^{-1}</math>.
	* <math>\Delta f</math> = The water flow which takes place.		* <math>\Delta f</math> = The water flow which takes place.
	* <math>\Delta t</math> = Computational timestep in seconds.		* <math>\Delta t</math> = Computational timestep in seconds.

Frank@tygron.nl at 09:58, 27 October 2022

2022-10-27T09:58:49Z

← Older revision		Revision as of 09:58, 27 October 2022
Line 52:		Line 52:
	* <math>U</math> = Loss coefficient for culverts.		* <math>U</math> = Loss coefficient for culverts.
	* <math>n</math> = The [[Culvert n (Water Overlay)\|CULVERT_N]] attribute of the culvert.		* <math>n</math> = The [[Culvert n (Water Overlay)\|CULVERT_N]] attribute of the culvert.
	* <math>Q</math> = The potential rate of water flow through the culvert.		* <math>Q</math> = The potential rate of water flow through the culvert in <math>m^3/s</math>.
	* <math>\Delta f</math> = The water flow which takes place.		* <math>\Delta f</math> = The water flow which takes place.
	* <math>\Delta t</math> = Computational timestep.		* <math>\Delta t</math> = Computational timestep in seconds.
	* <math>\Delta x</math> = Cell size.		* <math>\Delta x</math> = Cell size in meters.

	==Related==		==Related==

Frank@tygron.nl at 09:58, 27 October 2022

2022-10-27T09:58:02Z

← Older revision		Revision as of 09:58, 27 October 2022
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	The potential flow through the culvert is then calculated:		The potential flow through the culvert is then calculated:
	: <math>C = U \cdot K \cdot \sqrt{ 2g \cdot \Vert w_{l} - w_{r} \Vert }</math>		: <math>Q = U \cdot K \cdot \sqrt{ 2g \cdot \Vert w_{l} - w_{r} \Vert }</math>

	Finally the actual amount of water flow is calculated:		Finally the actual amount of water flow is calculated:
	: <math>\Delta f = \frac{\Delta t \cdot C} { \Delta x}</math>		: <math>\Delta f = \frac{\Delta t \cdot Q} { \Delta x}</math>

	Where:		Where:
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	* <math>U</math> = Loss coefficient for culverts.		* <math>U</math> = Loss coefficient for culverts.
	* <math>n</math> = The [[Culvert n (Water Overlay)\|CULVERT_N]] attribute of the culvert.		* <math>n</math> = The [[Culvert n (Water Overlay)\|CULVERT_N]] attribute of the culvert.
	* <math>C</math> = The potential rate of water flow through the culvert.		* <math>Q</math> = The potential rate of water flow through the culvert.
	* <math>\Delta f</math> = The water flow which takes place.		* <math>\Delta f</math> = The water flow which takes place.
	* <math>\Delta t</math> = Computational timestep.		* <math>\Delta t</math> = Computational timestep.

← Older revision		Revision as of 15:37, 25 January 2024
Line 41:		Line 41:
	* <math>h_f</math> = The (flow) height of the water inside the culvert.		* <math>h_f</math> = The (flow) height of the water inside the culvert.
	* <math>T_c</math> = The [[Culvert threshold (Water Overlay)\|CULVERT_THRESHOLD]] attribute of the culvert.		* <math>T_c</math> = The [[Culvert threshold (Water Overlay)\|CULVERT_THRESHOLD]] attribute of the culvert.
	* <math>B_c</math> = The [[Terrain height (Water Overlay)\|~~surface~~ height]] of the base of the culvert.		* <math>B_c</math> = The [[Terrain height (Water Overlay)\|datum height]] of the base of the culvert.
	* <math>w_{l}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the left end of the culvert, relative to {{datum}}.		* <math>w_{l}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the left end of the culvert, relative to {{datum}}.
	* <math>w_{r}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the right end of the culvert, relative to {{datum}}.		* <math>w_{r}</math> = The [[Surface water level formula (Water Overlay)\|water level]] on the right end of the culvert, relative to {{datum}}.