Energy Required to Melt Metal in LBM Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Energy = (Metal Density*Volume of Metal Melted*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion))/(1-Material Reflectivity)
Q = (ρm*V*(c*(Tm-θambient)+Lfusion))/(1-R)
This formula uses 8 Variables
Variables Used
Heat Energy - (Measured in Joule) - Heat Energy is the form of energy that is transferred between systems with different temperatures. It flows from the hotter system to the cooler one until thermal equilibrium is reached.
Metal Density - (Measured in Kilogram per Cubic Meter) - Metal Density is the mass per unit volume of the given metal.
Volume of Metal Melted - (Measured in Cubic Meter) - Volume of Metal Melted is defined as the volume of the material removed during the process of Laser Beam Machining.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Melting Temperature of Base Metal - (Measured in Kelvin) - Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid.
Ambient Temperature - (Measured in Kelvin) - Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding environment.
Latent Heat of Fusion - (Measured in Joule per Kilogram) - The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.
Material Reflectivity - Material Reflectivity is the ratio of amount of radiation that is reflected to the total radiation incident.
STEP 1: Convert Input(s) to Base Unit
Metal Density: 10.08 Kilogram per Cubic Meter --> 10.08 Kilogram per Cubic Meter No Conversion Required
Volume of Metal Melted: 0.04 Cubic Meter --> 0.04 Cubic Meter No Conversion Required
Specific Heat Capacity: 0.421 Joule per Kilogram per Celcius --> 0.421 Joule per Kilogram per K (Check conversion ​here)
Melting Temperature of Base Metal: 1499.999 Celsius --> 1773.149 Kelvin (Check conversion ​here)
Ambient Temperature: 55.02 Celsius --> 328.17 Kelvin (Check conversion ​here)
Latent Heat of Fusion: 4599.997 Joule per Kilogram --> 4599.997 Joule per Kilogram No Conversion Required
Material Reflectivity: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (ρm*V*(c*(Tmambient)+Lfusion))/(1-R) --> (10.08*0.04*(0.421*(1773.149-328.17)+4599.997))/(1-0.5)
Evaluating ... ...
Q = 4199.9998594176
STEP 3: Convert Result to Output's Unit
4199.9998594176 Joule --> No Conversion Required
FINAL ANSWER
4199.9998594176 4200 Joule <-- Heat Energy
(Calculation completed in 00.020 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Energy Requirements in LBM Calculators

Specific Gravity of given Metal
​ LaTeX ​ Go Specific Gravity of Material = (Heat Energy*(1-Material Reflectivity))/(Volume of Metal Melted*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion)*4.2)
Volume of Metal Melted
​ LaTeX ​ Go Volume of Metal Melted = (Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion)*4.2)
Melting Temperature of Metal
​ LaTeX ​ Go Melting Temperature of Base Metal = ((Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*Volume of Metal Melted*4.2)-Latent Heat of Fusion)/Specific Heat Capacity+Ambient Temperature
Energy Required to Melt Metal in LBM
​ LaTeX ​ Go Heat Energy = (Metal Density*Volume of Metal Melted*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion))/(1-Material Reflectivity)

Energy Required to Melt Metal in LBM Formula

​LaTeX ​Go
Heat Energy = (Metal Density*Volume of Metal Melted*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion))/(1-Material Reflectivity)
Q = (ρm*V*(c*(Tm-θambient)+Lfusion))/(1-R)

How does Laser Beam Machining work ?

Laser (light amplification by stimulated emission of radiation) beam machining (LBM) utilises the energy from the coherent light beams called laser (light amplification by stimulated emission of radiation). The basic principle utilised in LBM is that under proper conditions light energy of a particular frequency is used to stimulate the electrons in an atom to emit additional light with exactly the same characteristics of the original light source.

How to Calculate Energy Required to Melt Metal in LBM?

Energy Required to Melt Metal in LBM calculator uses Heat Energy = (Metal Density*Volume of Metal Melted*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion))/(1-Material Reflectivity) to calculate the Heat Energy, The Energy Required to melt metal in LBM formula is defined as energy required to melt metal while performing LBM. Heat Energy is denoted by Q symbol.

How to calculate Energy Required to Melt Metal in LBM using this online calculator? To use this online calculator for Energy Required to Melt Metal in LBM, enter Metal Density m), Volume of Metal Melted (V), Specific Heat Capacity (c), Melting Temperature of Base Metal (Tm), Ambient Temperature ambient), Latent Heat of Fusion (Lfusion) & Material Reflectivity (R) and hit the calculate button. Here is how the Energy Required to Melt Metal in LBM calculation can be explained with given input values -> 4200 = (10.08*0.04*(0.421*(1773.149-328.17)+4599.997))/(1-0.5).

FAQ

What is Energy Required to Melt Metal in LBM?
The Energy Required to melt metal in LBM formula is defined as energy required to melt metal while performing LBM and is represented as Q = (ρm*V*(c*(Tmambient)+Lfusion))/(1-R) or Heat Energy = (Metal Density*Volume of Metal Melted*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion))/(1-Material Reflectivity). Metal Density is the mass per unit volume of the given metal, Volume of Metal Melted is defined as the volume of the material removed during the process of Laser Beam Machining, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount, Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid, Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding environment, The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered & Material Reflectivity is the ratio of amount of radiation that is reflected to the total radiation incident.
How to calculate Energy Required to Melt Metal in LBM?
The Energy Required to melt metal in LBM formula is defined as energy required to melt metal while performing LBM is calculated using Heat Energy = (Metal Density*Volume of Metal Melted*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion))/(1-Material Reflectivity). To calculate Energy Required to Melt Metal in LBM, you need Metal Density m), Volume of Metal Melted (V), Specific Heat Capacity (c), Melting Temperature of Base Metal (Tm), Ambient Temperature ambient), Latent Heat of Fusion (Lfusion) & Material Reflectivity (R). With our tool, you need to enter the respective value for Metal Density, Volume of Metal Melted, Specific Heat Capacity, Melting Temperature of Base Metal, Ambient Temperature, Latent Heat of Fusion & Material Reflectivity 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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