Casting Mass using Bernoulli's Equation Calculator

✖Area of Choke Section of Sprue is the area at that part of sprue where it runs full of metal.ⓘ Area of Choke Section of Sprue [A_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%

✖Casting Mass is the weight of the material used to form a casting.ⓘ Casting Mass using Bernoulli's Equation [W_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Casting (Foundry) Formula PDF PDF Image

Casting Mass using Bernoulli's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_c = A_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

Casting Mass - (Measured in Kilogram) - Casting Mass is the weight of the material used to form a casting.
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.
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

Area of 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: 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

W_c = A_c*ρ_m*t_pt*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)

You are here -

Home » Engineering » Production Engineering » Casting (Foundry) » Gating System For Casting » Choke Area » Casting Mass 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!

< 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)

Casting Mass using Bernoulli's Equation Formula

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)
W_c = A_c*ρ_m*t_pt*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 of Choke Section of Sprue*Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould) to calculate the Casting Mass, Casting mass using Bernoulli's equation is the calculation of the mass of metal poured into a mold during casting by applying Bernoulli's equation, which relates the pressure, velocity, and height of a fluid flow in the pouring process. 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 of Choke Section of Sprue (A_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 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 is the calculation of the mass of metal poured into a mold during casting by applying Bernoulli's equation, which relates the pressure, velocity, and height of a fluid flow in the pouring process and is represented as W_c = A_c*ρ_m*t_pt*C*sqrt(2*[g]*H) or 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). Area of 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 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 Casting Mass using Bernoulli's Equation?

Casting mass using Bernoulli's equation is the calculation of the mass of metal poured into a mold during casting by applying Bernoulli's equation, which relates the pressure, velocity, and height of a fluid flow in the pouring process is calculated using 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). To calculate Casting Mass using Bernoulli's Equation, you need Area of Choke Section of Sprue (A_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 Area of Choke Section of Sprue, 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.

Home

FREE PDFs

🔍 Search