Ted bed, For the enhance in vertical distance, the turbulence anisotropy invariants alter from Butyrolactone II Epigenetics pancake-shaped to cigar-shaped in kinds, it observed that if data points near the scour bed method one of the anisotropy the front face of the abutment. Namely, upstream of surface. For near the scour bed, the anisottends for the opposite region near the water the abutmentinstance, near the scour hole at ropy tends to be pancake-shaped, the its side in the Lumley, whereas the approach to = 160 , information points are confined toand leftvalues Muristerone A medchemexpress increase together with the boost in the azimuthal angle. Ultimately, close to the the surface zone. The highest degree of anisotropy the proper side from the Lumley is nearwater surface, the turbulence anisotropy reaches the best boundary at which commonly occurs at the points near the scour hole other two. At for the un-vegetated bed among the components of TKE is bigger than the and/or in the the azimuthal scour hole or the water surface. This result and kinetic energy Mera points near theangle of 90 the anisotropic turbulence statewas also reported byact inversely. Thus, there the trend toward the anisotropy occur close to with a high anisotropic et al. [24]. Note that’s a highest degrees ofcigar-shaped boundarythe water surface within the area downstream of the abutment. Although for the case with vegetationan azimuth at = level close to the scour bed. In the downstream side with the abutment with inside the bed, angle of 160 the turbulence anisotropy is much more uniform, which shows a tendency toward the cigar-shaped boundary. In addition, the amount of anisotropy increases with all the depth raise and follows a path virtually parallel to the suitable boundary. Hence, as presented in Figure 20, it really is clear that the information points of your surface zone at all angles for the caseWater 2021, 13,23 of30 , the highest degree of anisotropy is observed near the scour bed. Together with the increases within the angle, the highest degree of anisotropy is positioned out with the scour hole. Inside the area downstream from the abutment, the lowest degree of anisotropy occurs near the scour bed. To preciously assess the turbulence anisotropy changes at particular angles with a continuous distance in the abutment (four cm) along the tangential path, a parameter named anisotropic invariant function (F) was defined here. Figure 21 shows the anisotropic invariant function (F) for the flow depth (Z/H). At the upstream face from the abutment, the worth on the invariant function (F) close to the scour hole for the case of the un-vegetated bed is far more than that for the case with vegetation within the bed. At all angles, inside the scour hole and close to the scour bed, the worth of F is close to 0.7 for each vegetated and un-vegetated situations. Nevertheless, at an angle of = 90 and with a incredibly close distance for the scour bed, the value of F for an un-vegetated bed is 0.08, which corresponds to two-dimensional isotropy. Downstream with the abutment, the opposite condition takes place, and the worth of F for the case of the vegetated bed close to the scour hole is higher than that for the case of Water 2021, 13, x FOR PEER Overview 24 the the un-vegetated bed. Additionally, at an angle of = 120 inside the scour hole and nearof 28 scour bed, the worth of F indicates three-dimensional isotropy.Figure 21. Evolution of the invariant function (F) in the azimuthal sections of ==(a) 30 , (b) 60 , (c) Figure 21. Evolution of your invariant function (F) at the azimuthal sections of (a) 30 (b) 60 (c) 90 (d) 120 and (e) 160for the case.