Linear Stability of Double-sided Symmetric Thin Liquid Film by Integral-theory

The Integral Theory approach is used to explore the stability and dynamics of a free double-sided symmetric thin liquid film. For Newtonian with non-variable density moving viscosity, flowing in thinning layer analyzed two dimensions. To construct an equation that governs such flow, Navier Stokes formulas are utilized proper boundary conditions zero shear stress conjointly normal on bounding surfaces dimensionless variables. After that, equations non-linear evolution structure thickness, local stream rate, unknown functions can be solved by using straight investigation, mode strategy moreover connected these reveal critical condition. characteristic for growth rate wave number MATLAM programming show region stable unstable films. As result our research, we able demonstrate effect thin, free, component.