39 citations · 259 across the 47 of their papers we have counts for
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Analytical investigation of time-dependent two-dimensional non-Newtonian boundary layer equations
Imre F. Barna, G. Bognár, L. Mátyás +1
In this study, five different time-dependent incompressible non-Newtonian boundary layer models in two dimensions are investigated, including external magnetic field effects. The p…
The Formulation of Scaling Expansion in an Euler-Poisson Dark-fluid Model
Balázs Endre Szigeti, Imre Ferenc Barna, Gergely Gábor Barnaföldi
We present a dark fluid model described as a non-viscous, non-relativistic, rotating, and self-gravitating fluid. We assumed that the system has spherical symmetry and the matter c…
Analytic solutions of the rotating and stratified hydrodynamical equations
Imre Ferenc Barna, László Mátyás
In this article we investigate the two-dimensional incompressible rotating and stratified, just rotating, just stratified Euler equations with each other and with the normal Euler…
Analytic solutions of a two-fluid hydrodynamic model
I. F. Barna, Mátyás László
We investigate a one dimensional flow described with the non-compressible coupled Euler and non-compressible Navier-Stokes equations in Cartesian coordinate systems. We couple the…
Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system
Imre Ferenc Barna, László Mátyás, Mihály András Pocsai
The simplest model to couple the heat conduction and Navier-Stokes equations together is the Oberbeck-Boussinesq(OB)system which were investigated by E.N. Lorenz and opened the par…
Analytic self-similar solutions of the Oberbeck-Boussinesq equations
I. F. Barna, L. Matyas
In this article we will present pure two-dimensional analytic solutions for the coupled non-compressible Newtoniain Navier-Stokes --- with Boussinesq approximation --- and the heat…