The Experts below are selected from a list of 156 Experts worldwide ranked by ideXlab platform
P Carbonaro - One of the best experts on this subject based on the ideXlab platform.
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group analysis for the equations describing the one dimensional motion of an ideal gas in the Hodograph Plane
International Journal of Non-linear Mechanics, 1997Co-Authors: P CarbonaroAbstract:Abstract This paper is concerned with the infinitesimal group analysis for the partial differential equations which represent the one-dimensional motion of an inviscid fluid in the Hodograph Plane. In particular, we studied, separately, the invariant properties of a 2 × 2 system of first order P.D.E. and those of an equivalent second order equation. The groups of invariance are generally different in the two cases, owing to the non-local character of the transformation taking the first into the latter. We consider the pressure-volume relationship as an arbitrary element and we point out some exceptional cases in which the equations under study admit an infinite parameter group. We also give a certain number of similarity solutions for different equations of state.
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Hodograph equations in relativistic gas dynamics admitting an infinite number of symmetries
Journal of Mathematical Physics, 1995Co-Authors: P Carbonaro, S. GiambòAbstract:A straightforward application of the Lie‐group theory to the linear equation, which describes the relativistic one‐dimensional flow in the Hodograph Plane, is carried out. It is shown that, for particular equations of state, one has an infinite number of symmetries. In this case, transformations can be found that reduce the Hodograph equation to a form directly integrable. The remarkable aspect of the analysis is that one of these equations of state is identified as that characterizing a one‐dimensional fully degenerate Fermi gas. Astrophysicists might find this result useful in practical applications.
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Two explicit solutions in a reducible relativistic system
Journal of Mathematical Physics, 1990Co-Authors: P CarbonaroAbstract:By reconsidering the linear equation which describes in the Hodograph Plane the motion of a relativistic fluid, a significant difference with respect to the analogous equation obtained in the classical fluid dynamic theory is found; while the latter satisfies a condition which greatly simplifies the determination of the Riemann function (required for the integration), the former does not fulfill in general a similar condition except when adopting specific pressure laws. Implications and properties of the relativistic system in these extreme cases are discussed.
O.p. Chandna - One of the best experts on this subject based on the ideXlab platform.
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Hodographic study of MHD constantly inclined fluid flows
International Journal of Engineering Science, 1992Co-Authors: O.p. Chandna, Phu Van. NguyenAbstract:Abstract Hodograph transformation technique is employed to investigate MHD constantly inclined steady Plane flows of an incompressible viscous fluid of finite electrical conductivity. The equations of motion have been transformed to the Hodograph Plane. A Legendre transform function is used to recast the equations in the Hodograph Plane in terms of this transform function. Solutions for various flow configurations are obtained.
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Hodograph method in MHD orthogonal fluid flows
International Journal of Mathematics and Mathematical Sciences, 1992Co-Authors: P. V. Nguyen, O.p. ChandnaAbstract:Equations for steady Plane MHD orthogonal flows of a viscous incompressible fluid of finite electrical conductivity are recast in the Hodograph Plane by using the Legendre transform function of the streamfunction. Three examples are studied to illustrate the developed theory. Solutions and geometries for these examples are determined.
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Hodographic study of non-Newtonian MHD aligned steady Plane fluid flows
International Journal of Mathematics and Mathematical Sciences, 1990Co-Authors: P. V. Nguyen, O.p. ChandnaAbstract:A study is made of non-Newtonian HHD aligned steady Plane fluid flows to find exact solutions for various flow configurations. The equations of motion have been transformed to the Hodograph Plane. A Legendre-transform function is used to recast the equations in the Hodograph Plane in terms of this transform function. Solutions for various flow configurations are obtained. Applications are investigated for the fluids of finite and infinite electrical conductivity bringing out the similarities and contrasts in the solutions of these types of fluids.
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Hodograph transformation method and solutions in aligned mhd Plane flows
International Journal of Engineering Science, 1990Co-Authors: O.p. Chandna, Phu Van. NguyenAbstract:Abstract Equations for steady Plane flows of electrically conducting fluids of finite and infinite electrical conductivity are recast in Hodograph Plane by using the Legendre transform of the streamfunction when velocity field is everywhere parallel to the magnetic field. As applications, various flows and the corresponding geometries are investigated.
Yu S Kosolapov - One of the best experts on this subject based on the ideXlab platform.
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Gas flow from Plane vessels with large angles of inclination of the walls
Fluid Dynamics, 1991Co-Authors: Yu S KosolapovAbstract:Numerical solutions are obtained for problems of steady supersonic gas flow from infinite Plane vessels with angles of inclination of the walls to the Plane of symmetry θ_c on the interval 90° < θ_c ≤ 180°. The problems are posed and solved in the Hodograph Plane. It is shown that starting from a certain θ_c* the flow choking mechanism is determined not by the arrival of the limiting characteristic at the edge of the opening (classical choking mechanism) but by the interaction of the jet with the outside surface of the vessel wall. The effect of θ_c and the ambient pressure on the local and integral flow characteristics is investigated.
Zhang Si-cong - One of the best experts on this subject based on the ideXlab platform.
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Solution for the Free-surface of Seepage Flow over Cutoff Wall
Advances in Water Science, 2020Co-Authors: Zhang Si-congAbstract:Two-dimensional seepage flow of free-surface over cutoff wall has been solved by conformal transformation method in this paper. By introducing the Hodograph Plane and utilizing Schwarz-Christoffel transform, the mapping relational formula between the physical Plane Z ( x , y) and complex potential Plane (Φ,Ψ) has been deduced. The main four parameters and integrated constants also have been obtained by joint-solution method. The solution example indicates that the solution method is feasible.
Phu Van. Nguyen - One of the best experts on this subject based on the ideXlab platform.
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Hodographic study of MHD constantly inclined fluid flows
International Journal of Engineering Science, 1992Co-Authors: O.p. Chandna, Phu Van. NguyenAbstract:Abstract Hodograph transformation technique is employed to investigate MHD constantly inclined steady Plane flows of an incompressible viscous fluid of finite electrical conductivity. The equations of motion have been transformed to the Hodograph Plane. A Legendre transform function is used to recast the equations in the Hodograph Plane in terms of this transform function. Solutions for various flow configurations are obtained.
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Hodograph transformation method and solutions in aligned mhd Plane flows
International Journal of Engineering Science, 1990Co-Authors: O.p. Chandna, Phu Van. NguyenAbstract:Abstract Equations for steady Plane flows of electrically conducting fluids of finite and infinite electrical conductivity are recast in Hodograph Plane by using the Legendre transform of the streamfunction when velocity field is everywhere parallel to the magnetic field. As applications, various flows and the corresponding geometries are investigated.