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- W4366483068 abstract "The entrance length needed for pipe and channel flows to re-adjust from a uniform to a fully-developed velocity profile is typically defined as the length required for the centreline velocity to reach 99% of its fully-developed value. This definition may be quite inaccurate in non-Newtonian flows with almost flat fully-developed velocity distributions near the centreline. Shear-thinning and viscoplasticity may cause the flow close to the centreline to evolve faster than that closer to the walls. Thus, alternative definitions of the entrance length have been proposed, e.g., for viscoplastic flows. In the present work, we numerically solve the flow development of power-law fluids in pipes and channels and calculate the entrance length as a function of the transverse coordinate, determining the global entrance length, Lg, along with the standard centreline estimate, Lc. We also consider an alternative definition, Lt, based on the evolution of the wall shear stress. Results have been obtained for values of the power-law exponent n ranging from 0.2 to 1.5 and for Reynolds numbers (Re) up to 1000. In pipes, centreline and global entrance lengths coincide for n>0.7, i.e., the flow indeed develops more slowly at the symmetry axis. This is not the case, however, with fluids that are more shear-thinning. Big differences are observed, which are more pronounced at lower Re. The stress entrance length is smaller than the classical centreline entrance length except for n<0.4 and n>1.45. More dramatic are the differences in channel flow. For n<1 (shear thinning fluids), Lc is smaller than both Lt and Lg. The differences are relatively reduced as Re and n are increased." @default.
- W4366483068 created "2023-04-22" @default.
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- W4366483068 date "2023-07-01" @default.
- W4366483068 modified "2023-10-16" @default.
- W4366483068 title "Entrance length estimates for flows of power-law fluids in pipes and channels" @default.
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- W4366483068 doi "https://doi.org/10.1016/j.jnnfm.2023.105056" @default.
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