A strong correlation has been found between the center dip slope of self-reversed atomic potassium emission lines in a coal-red magnetohydrodynamics ow and the thickness of the cool boundary layer surrounding the hot core ow. The boundary-layer pro le was determined indirectly from line shape tting of simultaneous time-resolved multiwavelength emission and absorption spectra. For line shape tting, a power law model with an effective boundary-layer width is proposed for modeling the radiative transfer across a turbulent boundary layer, rather than an inverse power law model that is used for a turbulent velocity boundary layer. A simple relationship can be written between the center dip slope and the effective boundary layer width that will allow real-time monitoring of the turbulent ow. Nomenclature B = Planck blackbody light intensity E = particle light extinction-to-absorption ratio f = fraction I = light intensity L = optical path length N = boundary-layer shape exponent T = temperature x = optical path position z = ratio of blackbody intensity at the particle temperature to blackbody intensity at the gas temperature = atomic absorption coef cient, per length = boundary-layer width in power law and inverse power law thermal models = particle absorption coef cient, per length = wavelength = optical depth Subscripts av = path-averaged temperature c = core eff = effective boundary-layer width in the power law model L = total path length w = wall x = path position = wavelength dependence