Theory and Measuring Method of the Temperature Distribution in Ground Surface Layer

Theoretical Analyses on the Grinding Temperature (1st Report)

Abstract

Theoretical analyses of the grinding temperature have been attempted by many investigators, but are not sufficient.
In this report, first, the technical problems on measuring method of the temperature distribution in ground surface layer are explained and the measured results are shown.
And then, the theory of its temperature distribution is explained and the problems to be considered when applying this are pointed out.
Theoretical equation of the temperature distribution in ground surface, obtained by applying Jaeger's heat transfer theory involving a moving heat source, in as follows.
Θ_zmax·πκυ/2αqK=3.1L^0.53e^-0.69L-0.37Z
where
Θ_zmax : the peak temperature at any point in ground surface layer
υ : the work speed
κ : the thermal conductivity of the workpiece
K : the thermal diffusivity of the workpiece
α : the flowing rate into the work of the heat capacity generated by grinding
q : the heat capacity per unit area generated by grinding
L=υl/2K, Z=υz/2 K
l : the contact arc length between the grinding wheel and the work
z : the depth from the ground surface.
When numerical values are used, they are always in c. g. s. units.
By this equation, the influence of the grinding conditions on the temperature distribution in ground surface layer is able to be investigated.