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Analytical Solutions for Navier-Stokes Equations in the Cylindrical Coordinates

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We consider the problem of convective heat transport in the incompressible fluid flow and the motion of the fluid in the cylinder which is described by the Navier-Stokes equations with the heat equation.The exact solutions of the Navier-Stokes equations, the temperature field and the vorticity vector are obtained.


The Bulletin of Society for Mathematical Services and Standards (Volume 2)
V. Adanhounme et al., "Analytical Solutions for Navier-Stokes Equations in the Cylindrical Coordinates", The Bulletin of Society for Mathematical Services and Standards, Vol. 2, pp. 16-23, 2012
Online since:
June 2012

Lu Lu; Doering C.R.; Busse F.H. Bounds on convection driven by internal heating. J. Math. Phys., Vol. 45, No. 7, 2968-2985; July (2004).

Bobok Elemer; Navratil Laszlo; Muszaki Fizika 1: Aramlastan. Kezirat, Tankonyvkiado, Budapest (1990).

Eglit M. E. and al. Problemes de mecanique des milieux continus. Tomes 1, 2. Lycee Moscovite, (1996).

Busse, F. On Howard's upper bound for heat transport by turbulent convection. J. Fluid Mech. 37, 457-477 (1969).

Busse, F. The bounding theory of turbulence and its physical significance in the case of turbulent Couette flow. In: Statistical Models and Turbulence, edited by M. Rosenlatt and C. M. Van Atta, Springer Lecture Notes in Physics Vol. 12 (Springer, Berlin, 1972), pp.103-126.

Busse, F. The optimum theory of turbulence. Adv. Appl. Mech. 18, 77 -121, (1978).

Busse, F. On the optimum theory of turbulence, Energy Stability and convection, Pitman Research Notes in Mathematics, edited by G. Galdi and B. Straughan , Wiley, New York, (1987).

Zadrzynska E.; Zajaczkowski W.M. Global Regular Solutions with Large Swirl to the NavierStokes Equations in a cylinder. J. Math. Fluid Mechanics; Vol. 11, 126-169, (2009).

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