Figure 4.
A multi-panel graph of u dot x plus V x and f of gamma at 2, 4, 6, and 8 seconds in a straight channel.The image depicts a multi-panel graph with four rows labelled 2 seconds, 4 seconds, 6 seconds, and 8 seconds. The left column shows u dot x plus V x in metres per second with a scale from 0.0 multiplied by 10 to the power 0 to 3.2 multiplied by 10 to the power 0. The right column shows f of gamma with values from 5.0 multiplied by 10 to the power negative 1 to 7.8 multiplied by 10 to the power negative 1. Each row presents fully developed channel flow, illustrating axial velocity distribution and corresponding evolution of f of gamma along the channel over time.

Channel flow results for the Type 1 model: temporal evolution of the velocity profile (left) and viscosity distribution f(γ) (right). The results highlight the emergence of shear-thickening behavior near the walls, while the channel center maintains low viscosity and high velocity

Source: Authors’ own work

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