...Bernhard Manhartsgruber This paper deals with the utilization of the dynamic characteristics of laminar flow in circular pipes for the indirect measurement of flow rates. A discrete-time state space realization of the transmission line dynamics is computed via inverse Laplace transform...

... with the Laplace transformation method and the asymptotic method for small values of time. From the experimental results available, relationships between the flow parameters and the transition time were derived. These relationships are characterized by the analytical forms. A physical explanation...

.... Together with the Laplace transform method, the application of fractional calculus to the classical transient viscous-diffusion equation in a semi-infinite space is shown to yield explicit analytical (fractional) solutions for the shear-stress and fluid speed anywhere in the domain. Comparing...

... time for the transition to decay. 1 Transient velocity distribution, plate velocity sin T The general transient problem is solved by Laplace transform technique using the conditions ( 5a (6) U t Y , T = Im 1 2   e − CY / 2...