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20102023
most citedThe radius of convexity of normalized Bessel functions of the first kind

73 citations

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physics.flu-dyn2021★ 11 cited

Self-similar analysis of the time-dependent compressible and incompressible boundary layers including heat conduction

Imre F. Barna, K. Hriczó, G. Bognár +1

We investigate the incompressible and compressible heat conducting boundary layer with applying the two-dimensional self-similar Ansatz. Analytic solutions can be found for the inc…

physics.flu-dyn2020★ 2 cited

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…

physics.flu-dyn2020★ 3 cited

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…

physics.flu-dyn2019★ 8 cited

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…

physics.flu-dyn2015★ 30 cited

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…