Barnett Relaxation in Thermally-Rotating Grains
We present an exact formulation of the physics of Barnett relaxation. Our formulation is based on a realistic kinetic model of the relaxation mechanism, which includes the alignment of the grain angular momentum in body coordinates by Barnett dissipation, disalignment by thermal fluctuations, and coupling of the angular momentum to the gas via gas damping. We solve the Fokker-Planck equation for the measure of internal alignment using numerical integration of the equivalent Langevin equation for Brownian rotation. The accuracy of our results is calibrated by comparing our numerical solutions with exact analytic results obtained for special cases. We describe an analytic approximation for the measure of alignment that fits our numerical results for cases of practical interest.
Abstract This paper presents the results of experimental study of gas turbine rotor of Air craft, Marine, wind turbine rotor etc. The natural frequency of gas turbine rotor using Holzer’s method same are compared with the results that are obtained through a well known software based approach of FFT Analyzer. Rotors employed for transmitting motion are manufacturing using mild steel as it offers better stiffness and economical conditions under damping conditions. Mild steel as it resists tortional loads and bending loads more efficiency are more effectively. In this paper natural frequency of the gas turbine rotor predicted according to numerical results will be compared with experiential results.