Abstract
An exact solution of the Navier–Stokes equations can be obtained only in a limited number of cases. These include steady unidirectional flows in which the fluid moves in one direction only and, therefore, the velocity vector has just one non-zero component. The steady-state assumption limits the analysis to laminar flows.
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Notes
- 1.
The other boundary condition, \(v_x=0\) for \(y=0\), was implicitly used when the integral was calculated from 0.
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Soldati, A., Marchioli, C. (2024). Exact Solutions for Unidirectional Steady Flows. In: Fluid Mechanics for Mechanical Engineers. Springer, Cham. https://doi.org/10.1007/978-3-031-53950-3_4
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DOI: https://doi.org/10.1007/978-3-031-53950-3_4
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