Main Article Content
Abstract
conditions, the governing equations can be formulated into a single equation of the thickness of the
fluid, and solved numerically by an implicit finite difference method. In analyzing the equation,
the linearized equation is considered here, to see the characteristic of the solution as wave propagation
and the effect of the physical parameter. We found that the wave propagates by reducing the amplitude,
and the wave speed is affected by the steepness of the plane. All of these can be indicated in the
linearized equation. Numerical wave-simulation is presented in this paper.
Keywords
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References
- Wiryanto, L. H. and Febrianti, W, ”Numerical solution of thin-film flowing down on an inclined channel”, Adv. Appl. Fluid Mech., 20 (2017), 595-604
- Wiryanto, L. H, ”Stability analysis of thin film model”, Journal of Physics: Conf. Series, 983 (2018), 012072
- Wiryanto, L. H, ”A finite difference method for a thin film model”, Proc. Int. Conf. on mechanical, electrical and medical intelligent system (ICMEMIS) (2017), GS-02
- King, C., Tuck, E. O. and Vanden J.M, ”Air-blown on thin viscous sheets”, Phys. Fluids A, 5 (1993), 973-978
- Needham, D. J. and Merkin, J.H, ”On roll waves down an open inclined channel”, Proc. R. Soc. Lond. A, 394 (1984), 259-278.
- Merkin, J. H. and Needham, D. J, ”An infinite periodic bifurcation arising in roll waves down an open inclined channel”, Proc. R. Soc. London Ser. A, 405 (1986), 103-116
- Fauzi, R. and Wiryanto L. H, ”On the staggered scheme for shallow water model down an inclined channel”, AIP Conf. Proc. 1867 (2017)
- Fauzi, R. and Wiryanto L. H, ”Predictor-corrector scheme for simulating wave propagation on shallow water region”, IOP Conf. Ser.: Earth Environ. Sci, 162 (2018), 012047
- Dressler, R. F, ”Mathematical solution of problem of roll-waves in open inclined channels”, Commun. Pure Appl. Math, 2 (1949), 149-194.
- Wiryanto, L.H., Widyawati, R., Fauzi, R., Putra, G., Noviani, E., ”Simulation of wave propagation on thin film”, Adv. Appl. Fluid Mech., 2022, 29 (2022), 45-58
References
Wiryanto, L. H. and Febrianti, W, ”Numerical solution of thin-film flowing down on an inclined channel”, Adv. Appl. Fluid Mech., 20 (2017), 595-604
Wiryanto, L. H, ”Stability analysis of thin film model”, Journal of Physics: Conf. Series, 983 (2018), 012072
Wiryanto, L. H, ”A finite difference method for a thin film model”, Proc. Int. Conf. on mechanical, electrical and medical intelligent system (ICMEMIS) (2017), GS-02
King, C., Tuck, E. O. and Vanden J.M, ”Air-blown on thin viscous sheets”, Phys. Fluids A, 5 (1993), 973-978
Needham, D. J. and Merkin, J.H, ”On roll waves down an open inclined channel”, Proc. R. Soc. Lond. A, 394 (1984), 259-278.
Merkin, J. H. and Needham, D. J, ”An infinite periodic bifurcation arising in roll waves down an open inclined channel”, Proc. R. Soc. London Ser. A, 405 (1986), 103-116
Fauzi, R. and Wiryanto L. H, ”On the staggered scheme for shallow water model down an inclined channel”, AIP Conf. Proc. 1867 (2017)
Fauzi, R. and Wiryanto L. H, ”Predictor-corrector scheme for simulating wave propagation on shallow water region”, IOP Conf. Ser.: Earth Environ. Sci, 162 (2018), 012047
Dressler, R. F, ”Mathematical solution of problem of roll-waves in open inclined channels”, Commun. Pure Appl. Math, 2 (1949), 149-194.
Wiryanto, L.H., Widyawati, R., Fauzi, R., Putra, G., Noviani, E., ”Simulation of wave propagation on thin film”, Adv. Appl. Fluid Mech., 2022, 29 (2022), 45-58