Choke Area using Bernoulli's Equation Calculator

✖Casting Mass is the weight of the material used to form a casting.ⓘ Casting Mass [W_c]			+10% -10%
✖Density of Metal is the mass per unit volume of the given metal in the casting process.ⓘ Density of Metal [ρ_m]			+10% -10%
✖Pouring time is the time for complete filling of a mould.ⓘ Pouring Time [t_pt]			+10% -10%
✖Efficiency Factor of Gating System is the measure of how effectively the gating system distributes molten metal into the mold cavity during casting.ⓘ Efficiency Factor of Gating System [C]			+10% -10%
✖Effective Metal Head of Mould is the height of molten metal above the pouring basin in a casting mold, critical for ensuring proper flow and filling of the mold cavity.ⓘ Effective Metal Head of Mould [H]			+10% -10%

✖Area of 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]

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Choke Area using Bernoulli's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould))
A_c = W_c/(ρ_m*t_pt*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 of Choke Section of Sprue - (Measured in Square Meter) - Area of 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 weight of the material used to form a casting.
Density of Metal - (Measured in Kilogram per Cubic Meter) - Density of Metal is the mass per unit volume of the given metal in the casting process.
Pouring Time - (Measured in Second) - Pouring time is the time for complete filling of a mould.
Efficiency Factor of Gating System - Efficiency Factor of Gating System is the measure of how effectively the gating system distributes molten metal into the mold cavity during casting.
Effective Metal Head of Mould - (Measured in Meter) - Effective Metal Head of Mould is the height of molten metal above the pouring basin in a casting mold, critical for ensuring proper flow and filling of the mold cavity.

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: 11 Second --> 11 Second No Conversion Required
Efficiency Factor of Gating System: 0.75 --> No Conversion Required
Effective Metal Head of Mould: 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_pt*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 of Choke Section of Sprue

(Calculation completed in 00.020 seconds)

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Created by Rajat Vishwakarma

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

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< Choke Area Calculators

Density of Molten Metal using Bernoulli's Equation

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

Pouring Time using Bernoulli's Equation

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

Choke Area using Bernoulli's Equation

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

Casting Mass using Bernoulli's Equation

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

Choke Area using Bernoulli's Equation Formula

LaTeX Go

Area of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould))
A_c = W_c/(ρ_m*t_pt*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 of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)) to calculate the Area of 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 of 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 (t_pt), Efficiency Factor of Gating System (C) & Effective Metal Head of Mould (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_pt*C*sqrt(2*[g]*H)) or Area of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)). Casting Mass is the weight of the material used to form a casting, Density of Metal is the mass per unit volume of the given metal in the casting process, Pouring time is the time for complete filling of a mould, Efficiency Factor of Gating System is the measure of how effectively the gating system distributes molten metal into the mold cavity during casting & Effective Metal Head of Mould is the height of molten metal above the pouring basin in a casting mold, critical for ensuring proper flow and filling of the mold cavity.

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 of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)). To calculate Choke Area using Bernoulli's Equation, you need Casting Mass (W_c), Density of Metal (ρ_m), Pouring Time (t_pt), Efficiency Factor of Gating System (C) & Effective Metal Head of Mould (H). With our tool, you need to enter the respective value for Casting Mass, Density of Metal, Pouring Time, Efficiency Factor of Gating System & Effective Metal Head of Mould 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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