Operating Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability)
ffurnace = (ρ*10^9)/(4*pi^2*tc^2*μr)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Frequency of Induction Furnace - (Measured in Hertz) - Frequency of induction furnace is the operating frequency of coreless induction furnace.
Specific Resistance - (Measured in Ohm Meter) - Specific resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section.
Thickness of Cylinder - (Measured in Meter) - Thickness Of Cylinder is the length of the cylinder used.
Relative Permeability - Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.
STEP 1: Convert Input(s) to Base Unit
Specific Resistance: 113.59 Microhm Centimeter --> 1.1359E-06 Ohm Meter (Check conversion here)
Thickness of Cylinder: 10.6 Centimeter --> 0.106 Meter (Check conversion here)
Relative Permeability: 0.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ffurnace = (ρ*10^9)/(4*pi^2*tc^2*μr) --> (1.1359E-06*10^9)/(4*pi^2*0.106^2*0.9)
Evaluating ... ...
ffurnace = 2845.28728341767
STEP 3: Convert Result to Output's Unit
2845.28728341767 Hertz -->2.84528728341767 Kilohertz (Check conversion here)
FINAL ANSWER
2.84528728341767 2.845287 Kilohertz <-- Frequency of Induction Furnace
(Calculation completed in 00.004 seconds)

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8 Furnace Heating Calculators

Heat Conduction
Go Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall
Energy Required by Furnace to Melt Steel
Go Energy = (Mass*Specific Heat*(Temperature of Wall 2-Temperature of Wall 1))+(Mass*Latent Heat)
Thickness of Cylinder
Go Thickness of Cylinder = 1/(2*pi)*sqrt((Specific Resistance*10^9)/(Relative Permeability*Frequency of Induction Furnace))
Equivalent Inductance of Furnace
Go Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt)
Heat Radiation
Go Heat Radiation = 5.72*Emissivity*Radiating Efficiency*((Temperature of Wall 1/100)^4-(Temperature of Wall 2/100)^4)
Operating Frequency
Go Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability)
Specific Resistance using Operating Frequency
Go Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9
Energy Efficiency
Go Energy Efficiency = Theoretical Energy/Actual Energy

Operating Frequency Formula

Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability)
ffurnace = (ρ*10^9)/(4*pi^2*tc^2*μr)

What is the frequency of supply used in core type induction furnace?

Core type induction furnaces typically operate at high frequencies, typically ranging from 50 Hz to 10 kHz. However, the specific frequency used in a core type induction furnace depends on various factors, including the size and type of the furnace and the materials being heated.

Lower frequency induction furnaces (around 50-60 Hz) are commonly used for larger capacity applications, such as melting or heating of metals in foundries. These furnaces are often referred to as mains frequency or line frequency induction furnaces.

Higher frequency induction furnaces (in the range of a few kHz) are used for smaller capacity applications, such as laboratory or specialized heating processes. These higher frequency furnaces offer advantages like more precise control and enhanced heating efficiency for specific materials.

How to Calculate Operating Frequency?

Operating Frequency calculator uses Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability) to calculate the Frequency of Induction Furnace, The Operating Frequency formula is defined as the frequency used to drive the coreless induction furnace. Frequency of Induction Furnace is denoted by ffurnace symbol.

How to calculate Operating Frequency using this online calculator? To use this online calculator for Operating Frequency, enter Specific Resistance (ρ), Thickness of Cylinder (tc) & Relative Permeability r) and hit the calculate button. Here is how the Operating Frequency calculation can be explained with given input values -> 0.002845 = (1.1359E-06*10^9)/(4*pi^2*0.106^2*0.9).

FAQ

What is Operating Frequency?
The Operating Frequency formula is defined as the frequency used to drive the coreless induction furnace and is represented as ffurnace = (ρ*10^9)/(4*pi^2*tc^2*μr) or Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability). Specific resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section, Thickness Of Cylinder is the length of the cylinder used & Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.
How to calculate Operating Frequency?
The Operating Frequency formula is defined as the frequency used to drive the coreless induction furnace is calculated using Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability). To calculate Operating Frequency, you need Specific Resistance (ρ), Thickness of Cylinder (tc) & Relative Permeability r). With our tool, you need to enter the respective value for Specific Resistance, Thickness of Cylinder & Relative Permeability 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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