Pouring Time using Bernoulli's Equation Calculator

✖Casting Mass is the mass of casting to be prepared or required.ⓘ Casting Mass [W_c]			+10% -10%
✖Density of Metal is the mass per unit volume of the given metal.ⓘ Density of Metal [ρ_m]			+10% -10%
✖Area at choke section of sprue is the area at that part of sprue where it runs full of metal.ⓘ Area at Choke Section of Sprue [A_c]			+10% -10%
✖Efficiency factor of gating system is a function of the gating system used.ⓘ Efficiency Factor of Gating System [C]			+10% -10%
✖Effective metal head of a mould depends on the casting dimensions and the type of gating used.ⓘ Effective Metal Head [H]			+10% -10%

✖Pouring Time of Mould is the time for complete filling of a mould.ⓘ Pouring Time using Bernoulli's Equation [t]

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Formula

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Pouring Time using Bernoulli's Equation

Formula

`"t" = "W"_{"c"}/("ρ"_{"m"}*"A"_{"c"}*"C"*sqrt(2*"[g]"*"H"))`

Example

`"11.00222s"="5.27kg"/("7850kg/m³"*"12.99cm²"*"0.75"*sqrt(2*"[g]"*"0.02cm"))`

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Pouring Time using Bernoulli's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pouring Time of Mould = Casting Mass/(Density of Metal*Area at Choke Section of Sprue*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))
t = W_c/(ρ_m*A_c*C*sqrt(2*[g]*H))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Pouring Time of Mould - (Measured in Second) - Pouring Time of Mould is the time for complete filling of a mould.
Casting Mass - (Measured in Kilogram) - Casting Mass is the mass of casting to be prepared or required.
Density of Metal - (Measured in Kilogram per Cubic Meter) - Density of Metal is the mass per unit volume of the given metal.
Area at Choke Section of Sprue - (Measured in Square Meter) - Area at choke section of sprue is the area at that part of sprue where it runs full of metal.
Efficiency Factor of Gating System - Efficiency factor of gating system is a function of the gating system used.
Effective Metal Head - (Measured in Meter) - Effective metal head of a mould depends on the casting dimensions and the type of gating used.

STEP 1: Convert Input(s) to Base Unit

Casting Mass: 5.27 Kilogram --> 5.27 Kilogram No Conversion Required
Density of Metal: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required
Area at Choke Section of Sprue: 12.99 Square Centimeter --> 0.001299 Square Meter (Check conversion here)
Efficiency Factor of Gating System: 0.75 --> No Conversion Required
Effective Metal Head: 0.02 Centimeter --> 0.0002 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = W_c/(ρ_m*A_c*C*sqrt(2*[g]*H)) --> 5.27/(7850*0.001299*0.75*sqrt(2*[g]*0.0002))

Evaluating ... ...

t = 11.0022171046889

STEP 3: Convert Result to Output's Unit

11.0022171046889 Second --> No Conversion Required

FINAL ANSWER

11.0022171046889 ≈ 11.00222 Second <-- Pouring Time of Mould

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Casting (Foundry) » Gating System For Casting » Choke Area » Pouring Time using Bernoulli's Equation

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 6 Choke Area Calculators

Density of Molten Metal using Bernoulli's Equation

Go Density of Metal = Casting Mass/(Area at Choke Section of Sprue*Pouring Time of Mould*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))

Pouring Time using Bernoulli's Equation

Go Pouring Time of Mould = Casting Mass/(Density of Metal*Area at Choke Section of Sprue*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))

Choke Area using Bernoulli's Equation

Go Area at Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time of Mould*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))

Casting Mass using Bernoulli's Equation

Go Casting Mass = Area at Choke Section of Sprue*Density of Metal*Pouring Time of Mould*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)

Effective Metal Head for Parting Gate

Go Effective Metal Head for parting Gate = Height of Sprue-(Height of Mould Cavity in Cope^2)/(2*Total Height of Mould Cavity)

Effective Metal Head for Bottom Gate

Go Effective Metal Head for Bottom Gate = Height of Sprue-Total Height of Mould Cavity/2

Pouring Time using Bernoulli's Equation Formula

Pouring Time of Mould = Casting Mass/(Density of Metal*Area at Choke Section of Sprue*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))
t = W_c/(ρ_m*A_c*C*sqrt(2*[g]*H))

What is pouring time?

The time for complete filling of a mould is termed pouring time, is a very important criterion for design.Too long a pouring time requires a higher pouring temperature and too less a pouring time means turbulent flow in the mould, which makes the casting defect-prone. There is thus an optimum pouring time for any given casting.
The pouring time depends on the casting materials, complexity of the casting, section thickness and casting size. The various relations used are not theoretically obtained but established generally by the practice at various foundries and by experimenters.

How to Calculate Pouring Time using Bernoulli's Equation?

Pouring Time using Bernoulli's Equation calculator uses Pouring Time of Mould = Casting Mass/(Density of Metal*Area at Choke Section of Sprue*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)) to calculate the Pouring Time of Mould, The Pouring time using Bernoulli's equation formula is the time required to fill the cavity when choke area is known. Pouring Time of Mould is denoted by t symbol.

How to calculate Pouring Time using Bernoulli's Equation using this online calculator? To use this online calculator for Pouring Time using Bernoulli's Equation, enter Casting Mass (W_c), Density of Metal (ρ_m), Area at Choke Section of Sprue (A_c), Efficiency Factor of Gating System (C) & Effective Metal Head (H) and hit the calculate button. Here is how the Pouring Time using Bernoulli's Equation calculation can be explained with given input values -> 11.00222 = 5.27/(7850*0.001299*0.75*sqrt(2*[g]*0.0002)).

FAQ

What is Pouring Time using Bernoulli's Equation?

The Pouring time using Bernoulli's equation formula is the time required to fill the cavity when choke area is known and is represented as t = W_c/(ρ_m*A_c*C*sqrt(2*[g]*H)) or Pouring Time of Mould = Casting Mass/(Density of Metal*Area at Choke Section of Sprue*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)). Casting Mass is the mass of casting to be prepared or required, Density of Metal is the mass per unit volume of the given metal, Area at choke section of sprue is the area at that part of sprue where it runs full of metal, Efficiency factor of gating system is a function of the gating system used & Effective metal head of a mould depends on the casting dimensions and the type of gating used.

How to calculate Pouring Time using Bernoulli's Equation?

The Pouring time using Bernoulli's equation formula is the time required to fill the cavity when choke area is known is calculated using Pouring Time of Mould = Casting Mass/(Density of Metal*Area at Choke Section of Sprue*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)). To calculate Pouring Time using Bernoulli's Equation, you need Casting Mass (W_c), Density of Metal (ρ_m), Area at Choke Section of Sprue (A_c), Efficiency Factor of Gating System (C) & Effective Metal Head (H). With our tool, you need to enter the respective value for Casting Mass, Density of Metal, Area at Choke Section of Sprue, Efficiency Factor of Gating System & Effective Metal Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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