| A Papanastasiou fluid is spread on a flat disk whose rotational speed is being ramped up from zero to a final speed. The dependent variables depend on radial and axial positions, as well as time, and do not conform to the Von Karman similarity forms. This whole spin coating process is studied at the assumption of no solvent evaporation and the dimensionless effective viscosity being 1000. The interface profiles are mostly in bell shapes due to the shear thinning; then tend to level out toward the end of the process due to mass balance. Compared with the Newtonian case, the interface comes down more slowly. For the dimensionless groups, Bond number and Capillary number have very little effect on the process, whereas larger Reynolds number results in curvier interface shapes, and larger Bingham number produces more horizontal interface shapes.; A Convected Jeffreys liquid is contained between two concentric spheres. Inside the inner sphere is an ideal gas; outside the outer one, the ambient pressure is decreased suddenly to zero at the start-up. The evolution of the process is studied.; Nonisothermal blow molding of a Newtonian fluid is studied, in which a circular flat film is blown up against the mold walls. It is found that most of the time spent in the process is at the final stage, and most of the heat transfer takes place by conduction when wall contact is made. A smaller Peclet number results in a slower process and a thicker temperature boundary layer.; Blow molding of a Carreau fluid is studied, in which an annular meniscus fixed at both ends is blown up against mold walls. As the fluid film's outer interface touches the mold wall, the pressure gradient concentrates near the point of most recent contact; when the outer interface contacts the vertical wall, the maximum velocity sits near the most recent node of wall contact; when contacts the upper mold wall, maximum velocity is located about in the middle of those two most recent nodes of wall contact. |
