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Abstract

In this work, the permanent laminar flow in the entrance region of a cylindrical tube is analyzed using a new Fourier series-based approximation technique of similarity for velocity profiles. The similarity method used in this work is well known in the literature on fluid mechanics and can be applied in other engineering education fields. The potential of the original modified Fourier cosine series is compared with the mathematical modelling of the entrance flow. Different physical entrance flow parameters of the interest are obtained through the integral formulation of differential equations for conservation laws. The results of this mathematical approach were found to be compatible with those reported in the literature.

Keywords

entrance region laminar flow circular tube similarity method Fourier series

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Mathematical Modelling of the Laminar Entrance Flow into a Circular Tube Using a Fourier Series Approximation

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