La curva del sistema e la curva de la bomba
Curva del sistema 1

Define your system curve in 5 steps

1. Configure the flow diagram. Click valves open or close.
2. Enter title and medium.
3. Parameters for frictionless flow (Bernoulli).
4. Parameters for viscous flow (pipe friction / Colebrook, valves, etc.).
5. Save your data.

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p 1

p 4

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h 1

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clic en la válvula para abrirla

Nombre de característica
Comentario
Caudal nominal*	m³/h

Fluido				Temperatura		ºC
Densidad*		kg/m³		Viscosidad Din. (Newton)*		mPas

Flujo sin fricción

Bernoulli´s equation stands for all parameters that influence pressure loss in frictionless regime: absolute pressures, suction height, height of discharge and speed (diameter). Pressure loss caused by friction and turbulence we deal with further down. Data for suction side and pressure side is collected separately to determine the pressure rise accross the pump. Absolute pressure on the pumps suction side must stay below its NPSH value to avoid cavitation caused by evaporation inside the pump.

Lado de succión

Lado de presión

Bernoulli

Tubo de acero

Tubo de Plástico

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p1	bar,abs	Presión absoluta!	p4=p1
h1*	m		h4=h1
tubo detrás del tanque compensador		las toberas de la bomba	tubo delante del tanque compensador
d1*	mm	d2* mm d3* mm	d4=d1

Pérdida de presión en el flujo viscoso

A. Tubería

The equation of Darcy-Weisbach allows to determine the pressure loss of straight piping and bends. Darcy Friction Factor is calculated by the law of Hagen-Poiseulle for laminar flow. For transition zone and turbulent flow Darcy Friction Factor is calculated by the equation of Colebrook (Moody). Laminar flow through bends is calculated according to Ghia, non-laminar flow according to Krüger. Data for suction side and pressure side is collected separately to determine the pressure rise accross the pump. Absolute pressure on the pumps suction side must stay below its NPSH value to avoid cavitation caused by evaporation inside the pump. We start with choosing the roughness of the inner pipe wall. Click the link roughness for help.

Rugosidad superficial mm

Lado de succión

Lado de presión

Tubo recto

Medio del cálculo

Tubo de acero

Tubo de Plástico

dSucc,1 mm Longitud m

dPresión,1 mm Longitud m

Codos 90º

Medio del cálculo

Tubo de acero

Tubo de Plástico

Número d =dSucc,1 r/dSucc,1

Número d =dPresión,1 r/dPresión,1

B. Elementos varios: accesorios de tubería, filtros, válvulas, caudalímetros, intercambiadores, etc.

First we look at components with a known maximum pressure drop. Filters have to be changed or cleaned at maximum pressure drop. Components that tend to plug or become incrusted have to be cleaned at maximum pressure drop. Data for suction side and pressure side is collected separately to determine the pressure rise accross the pump. Absolute pressure on the pumps suction side must stay below its NPSH value to avoid cavitation caused by evaporation inside the pump.

Δ p = constante

Nombre Pérdida de presión bar	Nombre Pérdida de presión bar
Nombre Pérdida de presión bar	Nombre Pérdida de presión bar
Nombre Pérdida de presión bar	Nombre Pérdida de presión bar

Lado de succión

Lado de presión

Flow coefficient cv of a component equals its water flow in [gal/min] at a pressure loss of 1 [psi]. Flow coefficient kv equals its water flow in [m³/h] at a pressure loss of 1 [bar]. The tab above the entry area leads to kv values of various valves. Flow coefficients cv can be converted to kv - see link kv or choose the calculator from the main menue. More theory as always on the left corner of the entry area.

Coeficiente de caudal k_v c_v

k_v para diversas válvulas

	Nombre Número		Nombre Número
	kv m³/h H₂0 @ Δp = 1 [bar]		kv m³/h H₂0 @ Δp = 1 [bar]

	Nombre Número		Nombre Número
	kv m³/h H₂0 @ Δp = 1 [bar]		kv m³/h H₂0 @ Δp = 1 [bar]

	Nombre Número		Nombre Número
	kv m³/h H₂0 @ Δp = 1 [bar]		kv m³/h H₂0 @ Δp = 1 [bar]

Lado de succión

Lado de presión

Friction Factor K is the proportional factor of the Darcy-Weisbach equation. Click the tab above the entry area for K values of various valves. More theory as always on the left corner of the entry area.

Coeficiente de resistencia K

K para diversas válvulas

	Nombre Número		Nombre Número
	Coeficiente de resistencia K [-]		Coeficiente de resistencia K [-]
	Diámetro mm		Diámetro mm

	Nombre Número		Nombre Número
	Coeficiente de resistencia K [-]		Coeficiente de resistencia K [-]
	Diámetro mm		Diámetro mm

	Nombre Número		Nombre Número
	Coeficiente de resistencia K [-]		Coeficiente de resistencia K [-]
	Diámetro mm		Diámetro mm

Lado de succión

Lado de presión

Sometimes neither a cv value nor a friction factor is known for the component in question. But pressure loss and flow for one point of operation. This data can be used as reference the same way we use cv values. Darcy-Weisbach equation allows the conversion to different flows, pressure losss and densities.

un punto de servicio conocido

	Nombre Número		Nombre Número
	Pérdida de presión bar		Pérdida de presión bar
	Flujo de volumen m³/h		Flujo de volumen m³/h
	Densidad kg/m³		Densidad kg/m³

	Nombre Número		Nombre Número
	Pérdida de presión bar		Pérdida de presión bar
	Flujo de volumen m³/h		Flujo de volumen m³/h
	Densidad kg/m³		Densidad kg/m³

La curva del sistema e la curva de la bombaCurva del sistema 1

Flujo sin fricción

Lado de succión

Lado de presión

Pérdida de presión en el flujo viscosoA. Tubería

Lado de succión

Lado de presión

Tubo recto

Codos 90º

B. Elementos varios: accesorios de tubería, filtros, válvulas, caudalímetros, intercambiadores, etc.

Lado de succión

Lado de presión

Lado de succión

Lado de presión

Lado de succión

Lado de presión

La curva del sistema e la curva de la bomba
Curva del sistema 1

Pérdida de presión en el flujo viscoso

A. Tubería