Pouring Time using Bernoulli's Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pouring Time = Mass of Casting/(Density of Metal*Area at Choke Section*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))
t = W/(ρm*A*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
Pouring Time - (Measured in Second) - Pouring time is the time for complete filling of a mould.
Mass of Casting - (Measured in Kilogram) - Mass of casting is the mass of casting to be prepared or required.
Density of Metal - (Measured in Kilogram per Cubic Meter) - Density of Metal is the mass per unit volume of the given metal.
Area at Choke Section - (Measured in Square Meter) - Area at choke section of sprue is the area at that part of sprue where it runs full of metal.
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
Mass of Casting: 15 Kilogram --> 15 Kilogram No Conversion Required
Density of Metal: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required
Area at Choke Section: 12 Square Centimeter --> 0.0012 Square Meter (Check conversion here)
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
t = W/(ρm*A*C*sqrt(2*[g]*H)) --> 15/(7850*0.0012*0.75*sqrt(2*[g]*0.0002))
Evaluating ... ...
t = 33.8991461551018
STEP 3: Convert Result to Output's Unit
33.8991461551018 Second --> No Conversion Required
FINAL ANSWER
33.8991461551018 33.89915 Second <-- Pouring Time
(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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7 Choke Area Calculators

Density of Molten Metal using Bernoulli's Equation
Go Density of Metal = Mass of Casting/(Area at Choke Section*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))
Pouring Time using Bernoulli's Equation
Go Pouring Time = Mass of Casting/(Density of Metal*Area at Choke Section*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))
Choke Area using Bernoulli's Equation
Go Area at Choke Section = Mass of Casting/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))
Casting Mass using Bernoulli's Equation
Go Mass of Casting = Area at Choke Section*Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)
Effective Metal Head for Parting Gate
Go Effective Metal Head = Height of Sprue-(Height of Mould Cavity in Cope^2)/(2*Total Height of Mould Cavity)
Composition Factor from Fluidity Spiral Length
Go Coefficient of Fluctuation of Flywheel Speed = (389.6+Fluidity Spiral Length-0.228*Pouring Temperature)/37.846
Effective Metal Head for Bottom Gate
Go Effective Metal Head = Height of Sprue-Total Height of Mould Cavity/2

Pouring Time using Bernoulli's Equation Formula

Pouring Time = Mass of Casting/(Density of Metal*Area at Choke Section*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head))
t = W/(ρm*A*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 Pouring Time using Bernoulli's Equation?

Pouring Time using Bernoulli's Equation calculator uses Pouring Time = Mass of Casting/(Density of Metal*Area at Choke Section*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)) to calculate the Pouring Time, The Pouring time using Bernoulli's equation formula is the time required to fill the cavity when choke area is known. Pouring Time is denoted by t symbol.

How to calculate Pouring Time using Bernoulli's Equation using this online calculator? To use this online calculator for Pouring Time using Bernoulli's Equation, enter Mass of Casting (W), Density of Metal m), Area at Choke Section (A), Efficiency Factor of Gating System (C) & Effective Metal Head (H) and hit the calculate button. Here is how the Pouring Time using Bernoulli's Equation calculation can be explained with given input values -> 33.89915 = 15/(7850*0.0012*0.75*sqrt(2*[g]*0.0002)).

FAQ

What is Pouring Time using Bernoulli's Equation?
The Pouring time using Bernoulli's equation formula is the time required to fill the cavity when choke area is known and is represented as t = W/(ρm*A*C*sqrt(2*[g]*H)) or Pouring Time = Mass of Casting/(Density of Metal*Area at Choke Section*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)). Mass of casting is the mass of casting to be prepared or required, Density of Metal is the mass per unit volume of the given metal, Area at choke section of sprue is the area at that part of sprue where it runs full of metal, 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 Pouring Time using Bernoulli's Equation?
The Pouring time using Bernoulli's equation formula is the time required to fill the cavity when choke area is known is calculated using Pouring Time = Mass of Casting/(Density of Metal*Area at Choke Section*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head)). To calculate Pouring Time using Bernoulli's Equation, you need Mass of Casting (W), Density of Metal m), Area at Choke Section (A), Efficiency Factor of Gating System (C) & Effective Metal Head (H). With our tool, you need to enter the respective value for Mass of Casting, Density of Metal, Area at Choke Section, 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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