On the Properties of the Motion With Constant Stretch History Occurring in the Maxwell Rheometer

It is shown that the steady flow in the Maxwell rheometer is a motion with constant stretch history of type (iii) on W. Noll's list, i. e. , it is generated by a tensor which is not nilpotent. The general material functions that arise in this flow are determined, and it is demonstrated that there are at most five such functions. Since the constitutive equation for a simple fluid undergoing the flow in the Maxwell rehometer can be reduced by C. C. Wang's representation theorem to the form it has in viscometric flows, certain interesting relations between the present five material functions and the three viscometric functions are exhibited.