Experimental measurements of the fully developed turbulent flow field in straight circular tubes of dilute CMC solutions are described. The viscosity of the solutions used had a non-Newtonian power law exponent of 0.93 to 0.95 in order to eliminate most of the effects attributed to power law fluids. Both pressure drop and velocity profile measurements were made over a wide range of Reynolds numbers. The velocity data were taken in both the linear sublayer and the turbulent core, and are presented in terms of the universal velocity parameters modified by use of a viscosity defined at the tube wall. A check of the existing empirical correlations based on a power law viscosity shows that none predict the observed velocity profiles.