Summary
This paper describes the nonsteady phenomena occurring when a thin plate with sinusoidal shape at both sides and moving with velocityU 0 in an inviscid fluid with uniform velocityU 0 is suddenly brought to rest in a magnetic fieldB 0 parallel toU 0. After it has been shown that the appropriate initial condition for the flow is the nonmagnetic potential flow, the problem is, for the cases where the phase difference between upper and lower side is 0 andπ, formulated in terms of the stream function for the flow and the vector potential for the magnetic field. The governing equations are linearized and solutions valid for large time are found by means of Laplace transformations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Broer, L. J. F. and L. van Wijngaarden, Appl. sci. Res.B9 (1962) 451.
McLachlan, N. W., Complex variable theory and transform calculus, Cambridge at the University Press, 1955.
Carslaw, H. S. and J. C. Jaeger, Operational methods in applied Mathematics, Oxford University Press, 1953.
Wijngaarden, L. van, Applications of the one-fluid and the two-fluid model in magnetohydrodynamics, thesis Delft, 1962.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Broer, L.J.F., van Wijngaarden, L. The impulsive motion of a wavy plate in a conducting fluid. Appl. Sci. Res. 10, 91–109 (1962). https://doi.org/10.1007/BF02928066
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02928066