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