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Energy Required to Melt Metal in LBM Formula

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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. Check FAQs

Q = \frac{ρ m \cdot V \cdot (c \cdot (T m - θ ambient) + L fusion)}{1 - R}

Q - Heat Energy?ρ_m - Metal Density?V - Volume of Metal Melted?c - Specific Heat Capacity?T_m - Melting Temperature of Base Metal?θ_ambient - Ambient Temperature?L_fusion - Latent Heat of Fusion?R - Material Reflectivity?

Energy Required to Melt Metal in LBM Example

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Here is how the Energy Required to Melt Metal in LBM equation looks like with Values.

Here is how the Energy Required to Melt Metal in LBM equation looks like with Units.

Here is how the Energy Required to Melt Metal in LBM equation looks like.

4199.9999 = \frac{10.08 \cdot 0.04 \cdot (0.421 \cdot (1499.999 - 55.02) + 4599.997)}{1 - 0.5}

4199.9999J = \frac{10.08kg/m³ \cdot 0.04m³ \cdot (0.421J/kg*°C \cdot (1499.999°C - 55.02°C) + 4599.997J/kg)}{1 - 0.5}

4199.9999 = \frac{10.08 \cdot 0.04 \cdot (0.421 \cdot (1499.999 - 55.02) + 4599.997)}{1 - 0.5}

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Energy Required to Melt Metal in LBM Solution

Follow our step by step solution on how to calculate Energy Required to Melt Metal in LBM?

FIRST Step Consider the formula

Q = \frac{ρ m \cdot V \cdot (c \cdot (T m - θ ambient) + L fusion)}{1 - R}

Next Step Substitute values of Variables

∴

Q = \frac{10.08kg/m³ \cdot 0.04m³ \cdot (0.421J/kg*°C \cdot (1499.999°C - 55.02°C) + 4599.997J/kg)}{1 - 0.5}

Next Step Convert Units

∴

Q = \frac{10.08kg/m³ \cdot 0.04m³ \cdot (0.421J/(kg*K) \cdot (1773.149K - 328.17K) + 4599.997J/kg)}{1 - 0.5}

Next Step Prepare to Evaluate

∴

Q = \frac{10.08 \cdot 0.04 \cdot (0.421 \cdot (1773.149 - 328.17) + 4599.997)}{1 - 0.5}

Next Step Evaluate

∴

Q = 4199.9998594176J

LAST Step Rounding Answer

∴

Q = 4199.9999J

Energy Required to Melt Metal in LBM Formula Elements

Variables

Heat Energy

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.

Symbol: Q

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Heat Energy

Metal Density

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

Symbol: ρ_m

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Metal Density

Volume of Metal Melted

Volume of Metal Melted is defined as the volume of the material removed during the process of Laser Beam Machining.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Metal Melted

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: c

Measurement: Specific Heat CapacityUnit: J/kg*°C

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Melting Temperature of Base Metal

Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid.

Symbol: T_m

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Melting Temperature of Base Metal

Ambient Temperature

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.

Symbol: θ_ambient

Measurement: TemperatureUnit: °C

Note: Value can be positive or negative.

Formulas to find Ambient Temperature

Latent Heat of Fusion

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.

Symbol: L_fusion

Measurement: Latent HeatUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Latent Heat of Fusion

Material Reflectivity

Material Reflectivity is the ratio of amount of radiation that is reflected to the total radiation incident.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Material Reflectivity

Other formulas in Energy Requirements in LBM category

Go Specific Gravity of given Metal

s = \frac{Q \cdot (1 - R)}{V \cdot (c \cdot (T m - θ ambient) + L fusion) \cdot 4.2}

Go Volume of Metal Melted

V = \frac{Q \cdot (1 - R)}{s \cdot (c \cdot (T m - θ ambient) + L fusion) \cdot 4.2}

How to Evaluate Energy Required to Melt Metal in LBM?

Energy Required to Melt Metal in LBM evaluator 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 evaluate 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 evaluate Energy Required to Melt Metal in LBM using this online evaluator? To use this online evaluator for Energy Required to Melt Metal in LBM, enter Metal Density (ρ_m), Volume of Metal Melted (V), Specific Heat Capacity (c), Melting Temperature of Base Metal (T_m), Ambient Temperature (θ_ambient), Latent Heat of Fusion (L_fusion) & Material Reflectivity (R) and hit the calculate button.

FAQs on Energy Required to Melt Metal in LBM

What is the formula to find Energy Required to Melt Metal in LBM?

The formula of Energy Required to Melt Metal in LBM is expressed as 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). Here is an example- 4200 = (10.08*0.04*(0.421*(1773.149-328.17)+4599.997))/(1-0.5).

How to calculate Energy Required to Melt Metal in LBM?

With Metal Density (ρ_m), Volume of Metal Melted (V), Specific Heat Capacity (c), Melting Temperature of Base Metal (T_m), Ambient Temperature (θ_ambient), Latent Heat of Fusion (L_fusion) & Material Reflectivity (R) we can find Energy Required to Melt Metal in LBM using the formula - 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).

Can the Energy Required to Melt Metal in LBM be negative?

No, the Energy Required to Melt Metal in LBM, measured in Energy cannot be negative.

Which unit is used to measure Energy Required to Melt Metal in LBM?

Energy Required to Melt Metal in LBM is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Energy Required to Melt Metal in LBM can be measured.

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Energy Required to Melt Metal in LBM Formula

Energy Required to Melt Metal in LBM Example

Energy Required to Melt Metal in LBM Solution

Energy Required to Melt Metal in LBM Formula Elements

Other formulas in Energy Requirements in LBM category

How to Evaluate Energy Required to Melt Metal in LBM?

FAQs on Energy Required to Melt Metal in LBM

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