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Empirical constant for AJM Solution

STEP 0: Pre-Calculation Summary
Formula Used
empirical_constant = Material removal rate/(No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4))
A0 = Zw/(N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4))
This formula uses 6 Variables
Variables Used
Material removal rate - Material removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine. (Measured in Meter³ per Second)
No. of abrasive particles impacting per unit time- No. of abrasive particles impacting per unit time
Mean diameter of abrasive particles - Mean diameter of abrasive particles is the mean calculated from sampling method. (Measured in Millimeter)
Velocity - Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). (Measured in Meter per Second)
Density - The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. (Measured in Kilogram per Meter³)
Brinell Hardness - Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested. (Measured in Kilogram-Force per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Material removal rate: 1 Meter³ per Second --> 1 Meter³ per Second No Conversion Required
No. of abrasive particles impacting per unit time: 5 --> No Conversion Required
Mean diameter of abrasive particles: 1 Millimeter --> 0.001 Meter (Check conversion here)
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Brinell Hardness: 200 Kilogram-Force per Square Millimeter --> 1961329999.99986 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A0 = Zw/(N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4)) --> 1/(5*0.001^3*60^(3/2)*(997/(12*1961329999.99986))^(3/4))
Evaluating ... ...
A0 = 145740645699.457
STEP 3: Convert Result to Output's Unit
145740645699.457 --> No Conversion Required
FINAL ANSWER
145740645699.457 <-- Empirical constant
(Calculation completed in 00.047 seconds)

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Empirical constant for AJM Formula

empirical_constant = Material removal rate/(No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4))
A0 = Zw/(N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4))

What is Abrasive Jet Machining ?

Abrasive Jet Machining is a process that uses a very high speed (supersonic about 2.5 Mach number) water jet mixed with abrasives to cut any type of material without, in any way, affecting the work material or the environment. The AJM machines aim a highly focused, supersonic stream of water at the material such that it can cut composites smoothly by eroding them without generating any heat. Thus the AJM process eliminates all the thermal and mechanical distortion caused by conventional cutting methods. Also the water jet nozzle can be directed at any angle to the material thereby allowing for angled cuts. For cutting soft materials such as textiles and food stuffs, pure water without any abrasives is used.

How to Calculate Empirical constant for AJM?

Empirical constant for AJM calculator uses empirical_constant = Material removal rate/(No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4)) to calculate the Empirical constant, The Empirical constant for AJM formula is defined as the constant used to calculate MRR in the case of abrasive jet machining. Empirical constant and is denoted by A0 symbol.

How to calculate Empirical constant for AJM using this online calculator? To use this online calculator for Empirical constant for AJM, enter Material removal rate (Zw), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d), Velocity (v), Density (ρ) and Brinell Hardness (HB) and hit the calculate button. Here is how the Empirical constant for AJM calculation can be explained with given input values -> 1.457E+11 = 1/(5*0.001^3*60^(3/2)*(997/(12*1961329999.99986))^(3/4)).

FAQ

What is Empirical constant for AJM?
The Empirical constant for AJM formula is defined as the constant used to calculate MRR in the case of abrasive jet machining and is represented as A0 = Zw/(N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4)) or empirical_constant = Material removal rate/(No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4)). Material removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles is the mean calculated from sampling method, Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). , The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. and Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.
How to calculate Empirical constant for AJM?
The Empirical constant for AJM formula is defined as the constant used to calculate MRR in the case of abrasive jet machining is calculated using empirical_constant = Material removal rate/(No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4)). To calculate Empirical constant for AJM, you need Material removal rate (Zw), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d), Velocity (v), Density (ρ) and Brinell Hardness (HB). With our tool, you need to enter the respective value for Material removal rate, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles, Velocity, Density and Brinell Hardness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Empirical constant?
In this formula, Empirical constant uses Material removal rate, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles, Velocity, Density and Brinell Hardness. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • empirical_constant = (ln(Treatability constant/Treatability constant)/ln(Depth of reference filter/Depth of actual filter))
  • empirical_constant = Cutting rate*(Vaporisation energy of the material*Area of laser beam at focal point*Thickness)/Laser Energy Output
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