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Special relativity
Published in Andrew Norton, Dynamic Fields and Waves, 2019
The Galilean coordinate transformation is a plausible solution to the central problem of relativity. However, it leads to a prediction about the transformation of velocities that is in conflict with experiment. Thus, although the Galilean transformation is intuitively appealing and agrees with everyday experience, it is NOT the correct solution to the central problem of relativity.
Cattaneo-Christov double diffusion based heat transport analysis for nanofluid flows induced by a moving plate
Published in Numerical Heat Transfer, Part A: Applications, 2023
Defining the following similarity ansatz The ODEs are obtained only through the assumption that the plate is moving with constant velocity such that (where dot represents derivative w.r.t ). This similarity variable exhibits a Galilean transformation which makes the flow steady, but the fluid is in motion due to the moving plate in that reference frame. The transformed equations are where for hybrid nanofluids
Matterwave interferometric velocimetry of cold Rb atoms
Published in Journal of Modern Optics, 2018
Max Carey, Mohammad Belal, Matthew Himsworth, James Bateman, Tim Freegarde
so and , from which we determine that the optical phase must at any point track the atomic phase and depend spatially upon . The phase of the optical field must thus have the form characteristic of a travelling plane wave. The rate of variation in optical phase at the position of the atom is again simply the Doppler shift; while we have here considered Galilean transformation between the apparatus and atomic frames, equivalent results may be obtained by relativistic Lorentz transformation [9].
Moving semi-infinite crack between dissimilarorthotropic strips
Published in Waves in Random and Complex Media, 2022
Subhadeep Naskar, S. C. Mandal
To make the crack motion steady, we conceive the Galilean transformation x = X−ct, y = Y, t = t on Equations (1) and (2) and which are now where and .