M. HOURIA Serguine

MCB

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Department

Mathematics Department

Research Interests

Applied Mathematics

Contact Info

University of M'Sila, Algeria

Email : houria.serguine@univ-msila.dz

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Recent Publications

2023-04-28

Numerical Study of a Mathematical Model of a Free-Surface Potential Flow

In this work, the problem of a potential and two-dimensional flow with a free surface of an incompressible, irrotational and inviscid fluid of a jet in front an inclined wall is considered, where γ is the inclination angle with the horizontal. The shape of the free surface is presented by curves which are found numerically by the series truncation method. This technique is based on the conformal transformations, resulting with the surface tension effect T with the boundary conditions on the free surfaces given by Bernoulli’s equation. The found results are dependant on parameters which are: the Weber’s number α and the angle γ. For each Weber’s number value, only one solution is specified and some shapes of free surfaces of the jet are illustrated.
Citation

M. HOURIA Serguine, fairouz.chegaar@univ-setif.dz, , (2023-04-28), "Numerical Study of a Mathematical Model of a Free-Surface Potential Flow", [national] The Australian Journal of Mathematical Analysis and Applications , Austral Internet Publishing

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2007-01-25

Zero Gravity of Free-Surface Jet Flow

Our aim in this paper, is the studies of flow due to a jet against a
infinite vertical plate on the free surface, where the effects of gravity
and surface tension is not taken into account. We use initially the
method of the free streamline theory based on the hodograph method
and Schwarz-Christoffel transformation technique to obtain the exact
solution.
Citation

M. HOURIA Serguine, (2007-01-25), "Zero Gravity of Free-Surface Jet Flow", [national] International Mathematical Forum , Hikari

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2007-01-22

The Free-Surface Flow due to a Jet Against an Infinite Vertical Plate in Presence of Surface Tension

In the present work, we are interested by the study of a bidimensional
and potential jet with a free surface. The fluid is assumed to be
inviscid, incompressible and irrotational against a vertical plate.With
the presence of the surface tension T on the free surface condition, we
computed numerically the solutions via a series tuncation method.Our
results obtained dependant of a physical parameter Weber number α
and the solution exist for any α ≥ 0.1.
Citation

M. HOURIA Serguine, (2007-01-22), "The Free-Surface Flow due to a Jet Against an Infinite Vertical Plate in Presence of Surface Tension", [national] Applied Mathematical Sciences , Hikari

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