Bottom Gating Calculator

✖Ratio of area is the ratio of initial to final area.ⓘ Ratio of Area [A_ratio]			+10% -10%
✖Acceleration is the rate of change in velocity to the change in time.ⓘ Acceleration [a_c]			+10% -10%
✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [l]			+10% -10%
✖The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.ⓘ Height of Capillary Rise/Fall [h_c]			+10% -10%

✖Bottom gating pouring time, it is the time for liquid metal filled in the mold from bottom to top, thus avoiding the splashing and oxidation associated with vertical gating.ⓘ Bottom Gating [T_bg]

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Bottom Gating Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bottom Gating Pouring Time = Ratio of Area/sqrt(2*Acceleration)*2*(sqrt(Length of Cylinder)-sqrt(Length of Cylinder-Height of Capillary Rise/Fall))
T_bg = A_ratio/sqrt(2*a_c)*2*(sqrt(l)-sqrt(l-h_c))
This formula uses 1 Functions, 5 Variables

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

Bottom Gating Pouring Time - (Measured in Second) - Bottom gating pouring time, it is the time for liquid metal filled in the mold from bottom to top, thus avoiding the splashing and oxidation associated with vertical gating.
Ratio of Area - Ratio of area is the ratio of initial to final area.
Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in time.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the vertical height of the Cylinder.
Height of Capillary Rise/Fall - (Measured in Meter) - The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.

STEP 1: Convert Input(s) to Base Unit

Ratio of Area: 5.24 --> No Conversion Required
Acceleration: 12.56 Meter per Square Second --> 12.56 Meter per Square Second No Conversion Required
Length of Cylinder: 6 Meter --> 6 Meter No Conversion Required
Height of Capillary Rise/Fall: 0.01 Meter --> 0.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_bg = A_ratio/sqrt(2*a_c)*2*(sqrt(l)-sqrt(l-h_c)) --> 5.24/sqrt(2*12.56)*2*(sqrt(6)-sqrt(6-0.01))

Evaluating ... ...

T_bg = 0.00426999054621799

STEP 3: Convert Result to Output's Unit

0.00426999054621799 Second --> No Conversion Required

FINAL ANSWER

0.00426999054621799 ≈ 0.00427 Second <-- Bottom Gating Pouring Time

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< Casting Calculators

Bottom Gating

LaTeX Go Bottom Gating Pouring Time = Ratio of Area/sqrt(2*Acceleration)*2*(sqrt(Length of Cylinder)-sqrt(Length of Cylinder-Height of Capillary Rise/Fall))

Caine's Formula

LaTeX Go Freezing Ratio = (Surface Area Of Casting*Volume Riser)/(Surface Area Riser*Volume of Casting)

Solidification Time

LaTeX Go Solidification Time = Solidification Time per Unit Area*(Volume of Casting/Surface Area Of Casting)^2

Shape Factor

LaTeX Go Shape Factor = (Length of Casting+Width of Casting)/Average Thickness of Section

Bottom Gating Formula

LaTeX Go

Bottom Gating Pouring Time = Ratio of Area/sqrt(2*Acceleration)*2*(sqrt(Length of Cylinder)-sqrt(Length of Cylinder-Height of Capillary Rise/Fall))
T_bg = A_ratio/sqrt(2*a_c)*2*(sqrt(l)-sqrt(l-h_c))

What is Aspiration effect?

For a mold made of a permeable material (e.g., sand), care should be taken to ensure that the pressure anywhere in the liquid metal stream does not fall below the atmospheric pressure.

How to Calculate Bottom Gating?

Bottom Gating calculator uses Bottom Gating Pouring Time = Ratio of Area/sqrt(2*Acceleration)*2*(sqrt(Length of Cylinder)-sqrt(Length of Cylinder-Height of Capillary Rise/Fall)) to calculate the Bottom Gating Pouring Time, Bottom Gating, the liquid metal is filled in the mold from bottom to top, thus avoiding the splashing and oxidation associated with vertical gating. Bottom Gating Pouring Time is denoted by T_bg symbol.

How to calculate Bottom Gating using this online calculator? To use this online calculator for Bottom Gating, enter Ratio of Area (A_ratio), Acceleration (a_c), Length of Cylinder (l) & Height of Capillary Rise/Fall (h_c) and hit the calculate button. Here is how the Bottom Gating calculation can be explained with given input values -> 0.00427 = 5.24/sqrt(2*12.56)*2*(sqrt(6)-sqrt(6-0.01)).

FAQ

What is Bottom Gating?

Bottom Gating, the liquid metal is filled in the mold from bottom to top, thus avoiding the splashing and oxidation associated with vertical gating and is represented as T_bg = A_ratio/sqrt(2*a_c)*2*(sqrt(l)-sqrt(l-h_c)) or Bottom Gating Pouring Time = Ratio of Area/sqrt(2*Acceleration)*2*(sqrt(Length of Cylinder)-sqrt(Length of Cylinder-Height of Capillary Rise/Fall)). Ratio of area is the ratio of initial to final area, Acceleration is the rate of change in velocity to the change in time, Length of Cylinder is the vertical height of the Cylinder & The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.

How to calculate Bottom Gating?

Bottom Gating, the liquid metal is filled in the mold from bottom to top, thus avoiding the splashing and oxidation associated with vertical gating is calculated using Bottom Gating Pouring Time = Ratio of Area/sqrt(2*Acceleration)*2*(sqrt(Length of Cylinder)-sqrt(Length of Cylinder-Height of Capillary Rise/Fall)). To calculate Bottom Gating, you need Ratio of Area (A_ratio), Acceleration (a_c), Length of Cylinder (l) & Height of Capillary Rise/Fall (h_c). With our tool, you need to enter the respective value for Ratio of Area, Acceleration, Length of Cylinder & Height of Capillary Rise/Fall 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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