Experimental and numerical analyses of natural convection flow in a partially heated vertical annulus

2016 ◽  
Vol 70 (7) ◽  
pp. 763-775 ◽  
Author(s):  
Shahid Husain ◽  
M. Altamush Siddiqui
Keyword(s):  
Natural Convection ◽  
Numerical Analyses ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Vertical Annulus

scholarly journals Unsteady/Steady Natural Convection Flow of Reactive Viscous Fluid in a Vertical Annulus

2013 ◽  
Vol 18 (1) ◽  
pp. 73-83 ◽  
Author(s):  
B.K. Jha ◽  
A.K. Samaila ◽  
A.O. Ajibade
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Natural Convection ◽  
Differential Equations ◽  
Viscous Fluid ◽  
Skin Friction ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Vertical Annulus ◽  
Analytical Expressions

This paper presents both analytical and numerical analyses of a fully developed unsteady/steady natural convection flow of a reactive viscous fluid in an open ended vertical annulus. Analytical expressions for velocity, temperature, skin-friction and rate of heat transfer are obtained after simplifying and solving the governing differential equations with reasonable approximations. The interesting result found in this study is that an increase in non-dimensional time (t) , increases both temperature and velocity profiles until a steady-state value is attained. Subsequent results obtained by numerical calculations show excellent agreement with analytical results.

Effect of Inner Wall Rotation on Multicellular Natural Convection Flow in a Vertical Annulus

2003 ◽  
Author(s):  
A. Sergent ◽  
P. Le Que´re´ ◽  
S. P. Vanka
Keyword(s):  
Reynolds Number ◽  
Natural Convection ◽  
Boussinesq Equations ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Time Stepping ◽  
Concentric Cylinders ◽  
Vertical Annulus ◽  
Volume Method ◽  
Weak Influence

Numerical simulations have been performed to study the effects of the inner wall rotation on the unsteady multicellular flow of natural convection in the conductive regime (Ra = 8000). We consider a tall air-filled vertical annulus between differentially heated concentric cylinders with the inner cylinder allowed to rotate. The unsteady Boussinesq equations are discretized using a finite volume method with a second order time stepping scheme. The natural convection flow is axisymmetric in this regime, whereas it is known that the mixed convection flow becomes 3D over a range of Reynolds number. We observe the transition in a range of Reynolds number close to the critical Reynolds number of the Taylor-Couette flow. The rotation has a weak influence on the axisymmetric time-periodic natural convection flow before the transition, whereas the flow becomes 3D and chaotic after.

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