The study of the HTS tube transition, which must be provoked for some appli
cations err controlled for other ones, is very important. In, any case. it
is necessary to protect the superconductor from an excessive rise of temper
ature to avoid its destruction, Our paper deals with the study of the influ
ence of the thermal conductivity and the specific heat on the stability of
a superconducting tube, Indeed, these parameters may have an important vari
ation doe to the different materials and technology of manufacturing, Beyon
d scientific curiosity, this theoretical study and the obtained results cou
ld help the user to design a suitable material for a given application.