In this work, three melt blown grades of isotactic linear polypropylenes, with weight average molecular weights between 56 250-75 850 g/mol, have been characterized at 230 degrees C over a very wide shear rate range (10-10(7) 1/s) by using conventional rotational and twin bore capillary rheometry equipped with novel orifice die, and by an instrumented capillary nozzle on an injection molding machine. A low shear rate primary Newtonian plateau, a pseudoplastic region and a well developed secondary Newtonian plateau (occurring between 2.10(6) - 7.10(6) 1/s) were identified for all the polypropylene melts. Flow activation energy at low (E-0) and high (E-infinity) shear rates was found to be 56.590 kJ/mol and 25.204 kJ/mol, respectively. Considering the typical value of pressure sensitivity coefficient for polypropylene melt, beta = 20.00 GPa(-1), and measured flow activation energy at the secondary Newtonian plateau, E-infinity = 25.204 kJ/mol, it was found that the effect of viscous dissipation and pressure is mutually cancelled, i.e. that the measured viscosity data can be considered as the true material property within the whole applied shear rate range. For the first time, it has been revealed that the secondary Newtonian viscosity, eta(infinity) depends linearly on the weight average molecular weight, M-W, in log-log scale as eta(infinity) = 1.19.10(-6)M(w)(1.084). The observed slope close to 1 between eta(infinity) and M-w suggests that polymer chains in the melt are disentangled at the secondary Newtonian plateau region. This conclusion is supported by the experimental observation that the high shear rate flow activation energy E-infinity for given PP melts is comparable with the flow activation energy of PP like oligomer (squalane, C30H62; 2,6,10,15,19,23-hexamethyltetracosane). The measured flow data were fitted by six different viscosity models, from which two, namely Modified Carreau and Quemada models, were suggested here for the first time. It has been found that the accuracy of utilized models to describe the measured data is the highest for the newly suggested models and decreases in the following order: Modified Quemada model, Modified Carreau model, Carreau-Yasuda model, Cross model, Generalized Quemada model and Carreau model.