Casting Mass using Bernoulli's Equation Calculator

✖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%
✖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%

✖Casting Mass is the mass of casting to be prepared or required.ⓘ Casting Mass using Bernoulli's Equation [W_c]

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Formula

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Casting Mass using Bernoulli's Equation

Formula

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

Example

`"5.268938kg"="12.99cm²"*"7850kg/m³"*"11s"*"0.75"*sqrt(2*"[g]"*"0.02cm")`

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Casting Mass using Bernoulli's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_c = A_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

Casting Mass - (Measured in Kilogram) - Casting Mass is the mass of casting to be prepared or required.
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.
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

Area at Choke Section of Sprue: 12.99 Square Centimeter --> 0.001299 Square Meter (Check conversion here)
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

W_c = A_c*ρ_m*t*C*sqrt(2*[g]*H) --> 0.001299*7850*11*0.75*sqrt(2*[g]*0.0002)

Evaluating ... ...

W_c = 5.26893801934652

STEP 3: Convert Result to Output's Unit

5.26893801934652 Kilogram --> No Conversion Required

FINAL ANSWER

5.26893801934652 ≈ 5.268938 Kilogram <-- Casting Mass

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

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

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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

Casting Mass using Bernoulli's Equation Formula

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)
W_c = A_c*ρ_m*t*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 Casting Mass using Bernoulli's Equation?

Casting Mass using Bernoulli's Equation calculator uses 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) to calculate the Casting Mass, Casting mass using Bernoulli's equation defines the mass of casting obtained when choke area, pouring time are known. Casting Mass is denoted by W_c symbol.

How to calculate Casting Mass using Bernoulli's Equation using this online calculator? To use this online calculator for Casting Mass using Bernoulli's Equation, enter Area at Choke Section of Sprue (A_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 Casting Mass using Bernoulli's Equation calculation can be explained with given input values -> 5.268938 = 0.001299*7850*11*0.75*sqrt(2*[g]*0.0002).

FAQ

What is Casting Mass using Bernoulli's Equation?

Casting mass using Bernoulli's equation defines the mass of casting obtained when choke area, pouring time are known and is represented as W_c = A_c*ρ_m*t*C*sqrt(2*[g]*H) or 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). Area at choke section of sprue is the area at that part of sprue where it runs full of metal, 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 Casting Mass using Bernoulli's Equation?

Casting mass using Bernoulli's equation defines the mass of casting obtained when choke area, pouring time are known is calculated using 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). To calculate Casting Mass using Bernoulli's Equation, you need Area at Choke Section of Sprue (A_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 Area at Choke Section of Sprue, 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.

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