We are concerned with fluid having very small thickness flowing on an inclined bottom. The thickness of the fluid varies by changing time, so that it forms wave propagation, and we observe the wave profile. Since the fluid is thin, it can be modelled based on the theory of lubrication. We formulate the model into a single equation of the fluid thickness with the boundary conditions. The viscosity and the surface tension are two physical parameters considered in the wave evolution. The difficulty in solving the equation is strongly non-linearity of the model. Therefore, to deal with the non-linearity, we used a numerical approach, i.e., forward time central space (FTCS). The stability is analyzed before we apply it to the equation, so that we can simulate the wave. We obtain that the wave changes the form into almost shock.

thin film, lubrication theory, forward time central space, stability condition.

Received: June 14, 2022; Accepted: August 2, 2022; Published: August 17, 2022

How to cite this article: L. H. Wiryanto, R. Widyawati, R. Fauzi, G. Putra and E. Noviani, Simulation of wave propagation on thin film, Advances and Applications in Fluid Mechanics 29 (2022), 45-58. http://dx.doi.org/10.17654/0973468622007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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