An experimental study was performed to determine the thermal conductivities of polymer aqueous solutions under static condition. Pseudoplastic fluids were considered as test fluids. A coaxial cylinder apparatus with a rotating outer cylinder and a stationary inner cylinder was installed to measure the thermal conductivities of the test fluid. First, the thermal conductivity of distilled water was measured to validate the instrument. The experimental water data agreed within 1% of literature values and there was no effect of outer cylinder rotation (shear field). In addition, for polymer aqueous solutions such as aqueous Carboxy-methyl Cellulose solutions, thermal conductivities were also in agreement within 5% of literature values for Carboxy-methyl Cellulose solutions depending on the polymer concentration and temperature.