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- W2122296904 abstract "This paper presents a gradient theory of grade two based on an axiomatic conception of a nonlocal continuum theory for materials of grade n. The general classical model of linear momentum equation that is depending on the second-order strain rate tensor and its gradients up to grade n − 1 is Cauchy's first law of motion. In special case, the second-gradient theory, the total stress tensor is a function of the rate of stress tensor and its first gradient. The objective of the present work is to study the turbulent flow through a pipe based on this theory. The linear momentum equation in this case is reduced to an ordinary differential equation of order four, which is solved by analytical method. The boundary conditions are generated by using two cases, slip and no-slip conditions. Finally, analytical results are compared with the experimental pieces of work and show good agreement with experimental data. © 2014 Curtin University of Technology and John Wiley & Sons, Ltd." @default.
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- W2122296904 date "2014-12-17" @default.
- W2122296904 modified "2023-09-25" @default.
- W2122296904 title "Analytical solution of turbulent pipe flow according to second-gradient theory" @default.
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- W2122296904 doi "https://doi.org/10.1002/apj.1856" @default.
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