BIZOMAT MAKEOS · Materials

Energy and Time to Melt Metal

How much energy and time does it take to melt and superheat this charge of metal?

Energy to heat a metal charge to its melting point, melt it and superheat the liquid to the pouring temperature, and the melting time and energy cost at a furnace power and efficiency.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Charge masskgMass of metal charged.
Starting temperature°CTemperature of the charge when loaded.
Melting point°CMelting point (or liquidus) of the alloy.
Pouring temperature°CTemperature to which the liquid is superheated before pouring.
Specific heat of solidkJ/(kg·K)Average specific heat of the solid over the range (aluminium about 0.9, steel about 0.65, copper about 0.39 kJ/kg·K).
Latent heat of fusionkJ/kgLatent heat of fusion (aluminium 397, iron about 270, copper about 205 kJ/kg).
Specific heat of liquidkJ/(kg·K)Specific heat of the liquid metal.
Furnace powerkWFurnace rated power.
Furnace efficiency%Share of furnace energy that reaches the metal (induction about 55–75%, fuel-fired lower).
Energy priceAUD/kWhEnergy price per kWh (or equivalent fuel cost).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Charge mass
Illustration: Charge massA weight resting on a scale; Charge mass is how much matter it contains, in kilograms or grams.mExample: 500 kgCharge mass
What it is
The total mass of metal loaded into the furnace for one melt, including returns and scrap in the charge.
Units and format
Enter a number in kg: kilograms. The form accepts 0.000001 kg to 10000000 kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with 500 kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Energy, time and cost all rise in direct proportion to the charge mass.
What this means: Starting temperature
Illustration: Starting temperatureA thermometer whose level rises with Starting temperature; the level follows the value you type.T₀Example: 20 °CStarting temperature
What it is
The temperature of the charge when it goes into the furnace, usually the shop or storage temperature unless it is preheated.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -50 °C to 2000 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Preheated or hot-returned charge needs less energy; use its real temperature.
What this means: Melting point
Illustration: Melting pointA thermometer whose level rises with Melting point; the level follows the value you type.TmExample: 660 °CMelting point
What it is
The temperature at which the alloy becomes fully liquid (the liquidus for alloys that melt over a range), from the alloy data sheet.
Units and format
Enter a number in °C: degrees Celsius. The form accepts 0 °C to 3500 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 660 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
It must lie between the starting and pouring temperatures, or the tool rejects the inputs.
What this means: Pouring temperature
Illustration: Pouring temperatureA thermometer whose level rises with Pouring temperature; the level follows the value you type.TpExample: 720 °CPouring temperature
What it is
The temperature the liquid metal is raised to before it is poured, set by the foundry practice for the casting.
Units and format
Enter a number in °C: degrees Celsius. The form accepts 0 °C to 3500 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 720 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Superheat costs energy; it must be at or above the melting point.
What this means: Specific heat of solid
Illustration: Specific heat of solidHeat flowing from a hot side to a cold side through a wall or into a material; Specific heat of solid sets how much heat moves or is stored.hotcoldcsExample: 0.9 kJ/(kg·K)Specific heat of solid
What it is
The average heat needed to raise one kilogram of the solid metal by one degree, over the range from the starting temperature to the melting point, from alloy data.
Units and format
Enter a number in kJ/(kg·K): kilojoules per kilogram per kelvin. The form accepts 0.000001 kJ/(kg·K) to 10 kJ/(kg·K). Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.9 kJ/(kg·K) as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Enter kJ per kg per kelvin, not J; a value given in J/(kg·K) must be divided by 1000.
What this means: Latent heat of fusion
Illustration: Latent heat of fusionHeat flowing from a hot side to a cold side through a wall or into a material; Latent heat of fusion sets how much heat moves or is stored.hotcoldLExample: 397 kJ/kgLatent heat of fusion
What it is
The heat needed to turn one kilogram of the alloy from solid to liquid at its melting point without changing its temperature, from alloy data.
Units and format
Enter a number in kJ/kg: kJ/kg. The form accepts 0.000001 kJ/kg to 5000 kJ/kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with 397 kJ/kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the latent heat for the actual alloy; tables for pure metals may differ.
What this means: Specific heat of liquid
Illustration: Specific heat of liquidHeat flowing from a hot side to a cold side through a wall or into a material; Specific heat of liquid sets how much heat moves or is stored.hotcoldclExample: 1.18 kJ/(kg·K)Specific heat of liquid
What it is
The average heat needed to raise one kilogram of the liquid metal by one degree, used for the superheat from the melting point to the pouring temperature.
Units and format
Enter a number in kJ/(kg·K): kilojoules per kilogram per kelvin. The form accepts 0.000001 kJ/(kg·K) to 10 kJ/(kg·K). Required: the tool does not calculate until every input is valid.
Example
The form opens with 1.18 kJ/(kg·K) as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
It differs from the solid value; take it from the same alloy data source.
What this means: Furnace power
Illustration: Furnace powerA motor driving a shaft; Furnace power is the rate at which it does work, energy per second.PExample: 250 kWFurnace power
What it is
The power the furnace draws from its supply while melting, normally its rated input power.
Units and format
Enter a number in kW: kilowatts. The form accepts 0.000001 kW to 1000000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Melting time is inversely proportional to furnace power; energy used is not affected.
What this means: Furnace efficiency
Illustration: Furnace efficiencyInput on the left and useful output on the right with the loss split off; Furnace efficiency is output divided by input.inputuseful outputlossηExample: 60%Furnace efficiency
What it is
The share of the energy drawn by the furnace that actually ends up as heat in the metal; the rest is lost through walls, lid, cooling water and flue gas.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 1% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 60% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Energy drawn, time and cost are inversely proportional to efficiency.
Get it right
Measure it from your own meter readings and melt records where possible.
What this means: Energy price
Illustration: Energy priceA price tag on one unit of measure; Energy price is the cost for each unit (per hour, per kilogram and so on).$cost foreach unitExample: 0.25 AUD/kWhEnergy price
What it is
What you pay for one kilowatt-hour of energy delivered to the furnace, or the equivalent cost of fuel per kilowatt-hour.
Units and format
Enter a number in AUD/kWh: Australian dollars per kilowatt-hour. The form accepts 0 AUD/kWh to 100 AUD/kWh. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.25 AUD/kWh as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Cost per melt rises in direct proportion to the price.
Get it right
Include network and demand charges if you want the true cost of each melt.

Method and formulas

  1. Q = m [cs (Tm − T₀) + L + cl (Tp − Tm)].
  2. Energy drawn = Q ÷ efficiency; time = energy drawn ÷ power.
  3. Cost = energy drawn × price.
  4. Example: 500 kg of aluminium to 720 °C needs 144.97 kWh in the metal, about 0.96648 h at 250 kW.

Limitations

  • Average property values; alloys melt over a range and properties vary with temperature.
  • Holding losses while waiting to pour are not included.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Estimate furnace time and energy per melt
  • Compare melting costs of alloys
  • Size a furnace for a production rate

Who it is for

  • Foundry engineers
  • Process engineers
  • Estimators

What you get

  • Energy to heat, melt and superheat
  • Melting time
  • Energy drawn and cost per melt

Interpreting the result

  • Keep superheat to what the casting needs; each degree costs energy and increases gas pick-up and oxidation.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 371–374, 1404–1420. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

  • Method explained here · BIZOMAT original book

    From liquid to solid

    In Metal Casting by the Numbers

    What it covers: What a foundry has to control when metal freezes in a mould: latent heat, freezing range, the three stages of shrinkage, and why most casting defects are decided by how the metal solidifies.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

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