I am considering planck's equation where Intensity of emission is a function of wavelength and temperature . If we have the intensity value for a particular wavelength (determined through emission spectroscopy) for solid propellant combustion case. Then in planck's equation for grey body emissivity and temperature will be the two unknowns.
As an end result I want to determine temperature in the solid propellant combustion flame by knowing intensity of the emission emitted at a particular wavelength. But since the hot particles which are emitting that intensity in the flame are like grey bodies emissivity has to be known to find out temperature of the hot particles (grey body).
Please help me in determining the emissivity so that temperature can be determined from intensity and wavelength data. Please refer equations given in section 3.2 (Continuous Spectra) of the attached reference paper.
If you have spectral intensity value for a particular wavelength you can calculate blackbody spectral emissive power through the Planck's distribution using the wavelength and temperature data. Once you have the blackbody spectral emissive power than you will have your spectral emissivity using the available spectral intensity value obtained through emission spectroscopy.
If you know spectral intensity, correspond wavelength but not temperature you can not find spectral emissivity value for a gray emitting object.
The spectral intensity values are for irradiation or what? Here, I thought the values you have in hand include both reflective and emissive components.
I hope this answers your question.
After further reading your question, I found another idea, if you calibrate your spectral intensity values with known temperatures (here I am suggesting you to measure flame temperature by other means) the only unknown in Planck's will be emissivity and you will have the option to calibrate your spectral emissivity value at different temperatures. Than for other points (that you don't know the temperature) you may use already determined emissivity values.
Thanks so much, Ersin Sayar; the answers are helpful. I will try to adopt one of these techniques.
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