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In the present book, we study new unsteady effectiveness of a centrifugal force and heat transfer on a gas. We solve a system of non-linear time-dependent partial differential equations using exact analytical and numerical techniques. Our model is examined to follow the manner of the macroscopic properties of a gas bounded between two parallel horizontal rigid fixed plane plates. The moment and travelling wave methods are utilized. Comparison between the perturbed distribution function and the equilibrium one with time is investigated. System internal energy change is investigated. We detected that in specific conditions, we could compensate for the decreasing of particles' number adjacent to the lower horizontal rigid fixed plane plate because of the centrifugation process, with other particles adjacent to the higher heated horizontal rigid fixed plane plate. We did that with the help of the reverse heat current from the heated upper horizontal rigid fixed plane plates, which gave us a considerable enhancement and development of the gases isotope separation process. The significance of this book is due to its vast applications in numerous fields, such as physics, and engineering.