Choke Area 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%
✖Pouring Time of Mould is the time for complete filling of a mould.ⓘ Pouring Time of Mould [t]			+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%

✖Area at choke section of sprue is the area at that part of sprue where it runs full of metal.ⓘ Choke Area using Bernoulli's Equation [A_c]

⎘ Copy

👎

Formula

✖

Choke Area using Bernoulli's Equation

Formula

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

Example

`"12.99262cm²"="5.27kg"/("7850kg/m³"*"11s"*"0.75"*sqrt(2*"[g]"*"0.02cm"))`

Calculator

LaTeX

Reset

👍

Download Casting (Foundry) Formula PDF PDF Image

Choke Area using Bernoulli's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A_c = W_c/(ρ_m*t*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

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.
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.
Pouring Time of Mould - (Measured in Second) - Pouring Time of Mould is the time for complete filling of a mould.
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
Pouring Time of Mould: 11 Second --> 11 Second No Conversion Required
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

A_c = W_c/(ρ_m*t*C*sqrt(2*[g]*H)) --> 5.27/(7850*11*0.75*sqrt(2*[g]*0.0002))

Evaluating ... ...

A_c = 0.00129926181990826

STEP 3: Convert Result to Output's Unit

0.00129926181990826 Square Meter -->12.9926181990826 Square Centimeter (Check conversion here)

FINAL ANSWER

12.9926181990826 ≈ 12.99262 Square Centimeter <-- Area at Choke Section of Sprue

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

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

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 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

Choke Area using Bernoulli's Equation Formula

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))
A_c = W_c/(ρ_m*t*C*sqrt(2*[g]*H))

What is choke area?

Choke area is the main control area which meters the metal flow into the mould cavity, so that the mould is completely filled within the calculated pouring time. Normally, the choke area happens to be at the bottom of the sprue and hence, the first element to be designed in the gating system is the sprue size and its proportions. The main advantage in having sprue bottom as the choke area is that proper flow characteristics are established early in the mould.

How to Calculate Choke Area using Bernoulli's Equation?

Choke Area using Bernoulli's Equation calculator uses 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)) to calculate the Area at Choke Section of Sprue, Choke area using Bernoulli's equation is defined as the main control area which meters the metal flow into the mould cavity, so that the mould is completely filled within the calculated pouring time. Area at Choke Section of Sprue is denoted by A_c symbol.

How to calculate Choke Area using Bernoulli's Equation using this online calculator? To use this online calculator for Choke Area using Bernoulli's Equation, enter Casting Mass (W_c), Density of Metal (ρ_m), Pouring Time of Mould (t), Efficiency Factor of Gating System (C) & Effective Metal Head (H) and hit the calculate button. Here is how the Choke Area using Bernoulli's Equation calculation can be explained with given input values -> 129926.2 = 5.27/(7850*11*0.75*sqrt(2*[g]*0.0002)).

FAQ

What is Choke Area using Bernoulli's Equation?

Choke area using Bernoulli's equation is defined as the main control area which meters the metal flow into the mould cavity, so that the mould is completely filled within the calculated pouring time and is represented as A_c = W_c/(ρ_m*t*C*sqrt(2*[g]*H)) or 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 is the mass of casting to be prepared or required, Density of Metal is the mass per unit volume of the given metal, Pouring Time of Mould is the time for complete filling of a mould, 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 Choke Area using Bernoulli's Equation?

Choke area using Bernoulli's equation is defined as the main control area which meters the metal flow into the mould cavity, so that the mould is completely filled within the calculated pouring time is calculated using 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)). To calculate Choke Area using Bernoulli's Equation, you need Casting Mass (W_c), Density of Metal (ρ_m), Pouring Time of Mould (t), 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, Pouring Time of Mould, 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.

Home

FREE PDFs

🔍 Search