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Pouring Time using Bernoulli's Equation Formula

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Pouring time is the time for complete filling of a mould. Check FAQs

t pt = \frac{W c}{ρ m \cdot A c \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

t_pt - Pouring Time?W_c - Casting Mass?ρ_m - Density of Metal?A_c - Area of Choke Section of Sprue?C - Efficiency Factor of Gating System?H - Effective Metal Head of Mould?[g] - Gravitational acceleration on Earth?

Pouring Time using Bernoulli's Equation Example

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Here is how the Pouring Time using Bernoulli's Equation equation looks like with Values.

Here is how the Pouring Time using Bernoulli's Equation equation looks like with Units.

Here is how the Pouring Time using Bernoulli's Equation equation looks like.

11.0022 = \frac{5.27}{7850 \cdot 12.99 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}}

11.0022s = \frac{5.27kg}{7850kg/m³ \cdot 12.99cm² \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}}

11.0022 = \frac{5.27}{7850 \cdot 12.99 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}}

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Pouring Time using Bernoulli's Equation Solution

Follow our step by step solution on how to calculate Pouring Time using Bernoulli's Equation?

FIRST Step Consider the formula

t pt = \frac{W c}{ρ m \cdot A c \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

Next Step Substitute values of Variables

∴

t pt = \frac{5.27kg}{7850kg/m³ \cdot 12.99cm² \cdot 0.75 \cdot \sqrt{2 \cdot [g] \cdot 0.02cm}}

Next Step Substitute values of Constants

∴

t pt = \frac{5.27kg}{7850kg/m³ \cdot 12.99cm² \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}}

Next Step Convert Units

∴

t pt = \frac{5.27kg}{7850kg/m³ \cdot 0.0013m² \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.0002m}}

Next Step Prepare to Evaluate

∴

t pt = \frac{5.27}{7850 \cdot 0.0013 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.0002}}

Next Step Evaluate

∴

t pt = 11.0022171046889s

LAST Step Rounding Answer

∴

t pt = 11.0022s

Pouring Time using Bernoulli's Equation Formula Elements

Variables

Constants

Functions

Pouring Time

Pouring time is the time for complete filling of a mould.

Symbol: t_pt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Pouring Time

Casting Mass

Casting Mass is the weight of the material used to form a casting.

Symbol: W_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Casting Mass

Density of Metal

Density of Metal is the mass per unit volume of the given metal in the casting process.

Symbol: ρ_m

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Metal

Area of Choke Section of Sprue

Area of Choke Section of Sprue is the area at that part of sprue where it runs full of metal.

Symbol: A_c

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Area of Choke Section of Sprue

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Efficiency Factor of Gating System

Effective Metal Head of Mould

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.

Symbol: H

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Effective Metal Head of Mould

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other formulas in Choke Area category

Go Choke Area using Bernoulli's Equation

A c = \frac{W c}{ρ m \cdot t pt \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

Go Casting Mass using Bernoulli's Equation

W c = A c \cdot ρ m \cdot t pt \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}

Go Density of Molten Metal using Bernoulli's Equation

ρ m = \frac{W c}{A c \cdot t pt \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

Go Effective Metal Head for Bottom Gate

H b = h - \frac{c}{2}

How to Evaluate Pouring Time using Bernoulli's Equation?

Pouring Time using Bernoulli's Equation evaluator uses 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)) to evaluate the Pouring Time, Pouring Time using Bernoulli's Equation is used to describe the behavior of fluids in motion, particularly in situations involving flow through pipes or over surfaces. Pouring Time is denoted by t_pt symbol.

How to evaluate Pouring Time using Bernoulli's Equation using this online evaluator? To use this online evaluator for Pouring Time using Bernoulli's Equation, enter Casting Mass (W_c), Density of Metal (ρ_m), Area of Choke Section of Sprue (A_c), Efficiency Factor of Gating System (C) & Effective Metal Head of Mould (H) and hit the calculate button.

FAQs on Pouring Time using Bernoulli's Equation

What is the formula to find Pouring Time using Bernoulli's Equation?

The formula of Pouring Time using Bernoulli's Equation is expressed as 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)). Here is an example- 11.00222 = 5.27/(7850*0.001299*0.75*sqrt(2*[g]*0.0002)).

How to calculate Pouring Time using Bernoulli's Equation?

With Casting Mass (W_c), Density of Metal (ρ_m), Area of Choke Section of Sprue (A_c), Efficiency Factor of Gating System (C) & Effective Metal Head of Mould (H) we can find Pouring Time using Bernoulli's Equation using the formula - 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)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Pouring Time using Bernoulli's Equation be negative?

No, the Pouring Time using Bernoulli's Equation, measured in Time cannot be negative.

Which unit is used to measure Pouring Time using Bernoulli's Equation?

Pouring Time using Bernoulli's Equation is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Pouring Time using Bernoulli's Equation can be measured.

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Pouring Time using Bernoulli's Equation Formula

Pouring Time using Bernoulli's Equation Example

Pouring Time using Bernoulli's Equation Solution

Pouring Time using Bernoulli's Equation Formula Elements

Other formulas in Choke Area category

How to Evaluate Pouring Time using Bernoulli's Equation?

FAQs on Pouring Time using Bernoulli's Equation

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