Density of Molten Metal using Bernoulli's Equation Calculator

✖Casting Mass is the weight of the material used to form a casting.ⓘ Casting Mass [W_c]			+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%
✖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 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 a 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 [H]			+10% -10%

✖Density of Metal is the mass per unit volume of the given metal in the casting process.ⓘ Density of Molten Metal using Bernoulli's Equation [ρ_m]

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Density of Molten Metal using Bernoulli's Equation

Formula

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

Example

`"7851.582kg/m³"="5.27kg"/("12.99cm²"*"11s"*"0.75"*sqrt(2*"[g]"*"0.02cm"))`

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Density of Molten Metal using Bernoulli's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
ρ_m = W_c/(A_c*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

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.
Casting Mass - (Measured in Kilogram) - Casting Mass is the weight of the material used to form a casting.
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.
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 the measure of how effectively the gating system distributes molten metal into the mold cavity during casting.
Effective Metal Head - (Measured in Meter) - Effective metal head of a 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
Area at Choke Section of Sprue: 12.99 Square Centimeter --> 0.001299 Square Meter (Check conversion here)
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

ρ_m = W_c/(A_c*t*C*sqrt(2*[g]*H)) --> 5.27/(0.001299*11*0.75*sqrt(2*[g]*0.0002))

Evaluating ... ...

ρ_m = 7851.582206528

STEP 3: Convert Result to Output's Unit

7851.582206528 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

7851.582206528 ≈ 7851.582 Kilogram per Cubic Meter <-- Density of Metal

(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

Density of Molten Metal using Bernoulli's Equation Formula

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))
ρ_m = W_c/(A_c*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 Density of Molten Metal using Bernoulli's Equation?

Density of Molten Metal using Bernoulli's Equation calculator uses 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)) to calculate the Density of Metal, Density of Molten Metal using Bernoulli's Equation is used to describe the behavior of fluids in motion, particularly in situations involving flow through pipes or over surfaces. Density of Metal is denoted by ρ_m symbol.

How to calculate Density of Molten Metal using Bernoulli's Equation using this online calculator? To use this online calculator for Density of Molten Metal using Bernoulli's Equation, enter Casting Mass (W_c), Area at Choke Section of Sprue (A_c), Pouring Time of Mould (t), Efficiency Factor of Gating System (C) & Effective Metal Head (H) and hit the calculate button. Here is how the Density of Molten Metal using Bernoulli's Equation calculation can be explained with given input values -> 7851.582 = 5.27/(0.001299*11*0.75*sqrt(2*[g]*0.0002)).

FAQ

What is Density of Molten Metal using Bernoulli's Equation?

Density of Molten Metal using Bernoulli's Equation is used to describe the behavior of fluids in motion, particularly in situations involving flow through pipes or over surfaces and is represented as ρ_m = W_c/(A_c*t*C*sqrt(2*[g]*H)) or 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)). Casting Mass is the weight of the material used to form a casting, Area at choke section of sprue is the area at that part of sprue where it runs full of metal, Pouring Time of Mould 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 a 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 Density of Molten Metal using Bernoulli's Equation?

Density of Molten Metal using Bernoulli's Equation is used to describe the behavior of fluids in motion, particularly in situations involving flow through pipes or over surfaces is calculated using 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)). To calculate Density of Molten Metal using Bernoulli's Equation, you need Casting Mass (W_c), Area at Choke Section of Sprue (A_c), 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, Area at Choke Section of Sprue, 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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