Nonlinear elastic instability of gravity-driven flow of a thin viscoelastic film down an inclined plane

Azimuthal instability modes in a viscoelastic liquid layer flowing down a heated cylinder

“…Kang and Chen [19] find in the linear limit a purely elastic instability. This flow is investigated by Dávalos-Orozco [20] when the wall is smoothly deformed.…”

Linear Three Dimensional Instability of Viscoelastic Fluid Layers Flowing Down Cylindrical Walls

“…Lai (1967) used the Oldroyd B model for the fluid. This last fluid model was also used by Shaqfeh et al (1989) including moderate Reynolds numbers and in the non linear problem by Joo (1994) with an extra viscous thinning effect and by Kang and Chen (1995). The nonlinear stability of a Walters B fluid model of a thin film down a flat wall was investigated by Cheng et al (2000) and this was extended for the case of a vertical cylinder only taking into account the axial modes Cheng et al (2001).…”

Effect of permeability on the instability of a non-Newtonian film down a porous inclined plane

“…It is worth mentioning here that the investigations on the flow and stability characteristics of non-Newtonian fluids [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] have shown that the deviation from Newtonian rheology has a significant influence on the stability characteristics of non-Newtonian films. The above investigations have analyzed the flow characteristics and the associated time dependent properties and have developed suitable conditions for homogeneous film growth that would be relevant for industrial applications.…”