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The Dynamics of Thin Liquid Film | ||
| Kirkuk Journal of Science | ||
| Article 1, Volume 1, Issue 2, 2006, Pages 137-153 PDF (0 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.32894/kujss.2006.44252 | ||
| Abstract | ||
| The dynamics of the thin layer which flows steadily between two vertical guide wires was investigated but with zero shear stress at their bounding surfaces where the gravity has no significant effect on the liquid film. We apply the Navier-Stokes equations in two dimensional steady flows for incompressible fluid to a falling liquid curtain and we present the derivation of the differential equation that governs such flow and we obtain a solution for these equations which is valid for this liquid curtain , where we restrict our works to the case where the domain under consideration is long and thin, the solution of the governing equation is obtained by analytical method, and in this case there is a critical solution for large when the parameter is equal to zero, where and which is identical to the case when the normalized pressure is equal to zero. Generally, we solve the equation when is not equal to zero, and the thickness of the film increases as increases where . | ||
| Keywords | ||
| Navier; Stokes equations; continuity equation; non; linear differential equations | ||
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