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Flows in a circular cylinder heated from rotating bottom

100%

Kim J.

Archives of Thermodynamics

2001

tom Vol. 22, nr 1-2

11-22

Problem statements are fluid flows contained in a circular cylinder with a bottom disk that is rotating and supplies heat energy into the inside of the vessel at a constant temperature. The present flow configuration shows a typical flow model due to both the rotation of solid wall and buoyant force of a hot disk. Main focus lies on the flow patterns in the meridional plane and heat transfer rate throught the walls including the end disks. In this flow, the principal balance in the interior region is characterized by the relationship between the radial temperature gradient and the vertical shear in the azimuthal velocity. As the temperature at the bottom increases, larger portions of the meridional fluid transport are long-circuit from the bottom disk to the interior region via the cylindrical wall.

Analytical solutions for the unsteady MHD rotating flow over a rotating sphere near the equator

88%

Sweet E. , Vajravelu K. , Gorder R.

Open Physics

2011

tom 9

nr 1

167-175

In this paper we investigate the three-dimensional magnetohydrodynamic (MHD) rotating flow of a viscous fluid over a rotating sphere near the equator. The Navier-Stokes equations in spherical polar coordinates are reduced to a coupled system of nonlinear partial differential equations. Self-similar solutions are obtained for the steady state system, resulting from a coupled system of nonlinear ordinary differential equations. Analytical solutions are obtained and are used to study the effects of the magnetic field and the suction/injection parameter on the flow characteristics. The analytical solutions agree well with the numerical solutions of Chamkha et al. [31]. Moreover, the obtained analytical solutions for the steady state are used to obtain the unsteady state results. Furthermore, for various values of the temporal variable, we obtain analytical solutions for the flow field and present through figures.

On viscoelastic fiber jet formation by forcespinning at high rotation rate

88%

Riahi D. N. , Orizaga S.

Journal of Theoretical and Applied Mechanics

2023

tom Vol. 61 nr 2

275--287

We consider a nonlinear three-dimensional viscoelastic fiber jet that is generated during a forcespinning process. We provide a particular case for such a rotating jet at a high rotation rate. We use a viscoelastic constitutive model for the jet equations and then applying a new slender body approach, we continue with proper scaling and perturbation technique to develop a new model for such a jet system. We find that the profiles for jet quantities versus arc length are notably different from all those in related studies reported before for either high or low rotation rates. In particular, jet radius first rapidly decreases as the arc length decreases and then reaches its macro- or nano-scale size not far away from its exit section. The present model can predict a nano-fiber jet that is entirely based on proper scaling, perturbation technique and full fluid mechanics laws and equations.

Thermodynamics analysis of an MHD casson fluid flow through a rotating permeable channel with slip and hall effects

75%

Eegunjobi A. S. , Makinde O. D.

Engineering Transactions

2020

tom Vol. 68, iss. 3

239--252

In this paper, the inherent irreversibility in a Casson fluid flow through a rotating permeable microchannel with wall slip and Hall current is investigated. It is assumed that the lower wall is subjected to the velocity slip and fluid injection while the fluid suction occurs at the upper wall. The nonlinear governing equations of momentum and energy balance are obtained, analyzed and solved numerically using the shooting technique together with the Runge-Kutta-Fehlberg integration method. Pertinent results depicting the effects of various embedded thermophysical parameters on the fluid velocity, temperature, skin friction, the Nusselt number, entropy generation rate and the Bejan number are presented graphically and discussed. It is found that the entropy generation rate is enhanced by fluid rotation and velocity slip but lessened with a rise magnetic field intensity. Our results will undoubtedly augment the design and efficient operation of micro-cooling devices, micro-heat exchangers, micropumps and micro-mixing technologies.