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Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended cylindrical annulus

Advances in Applied Mathematics and Mechanics 2010年第6期2卷 763-783页

作者： Mani Sankar Department of Mathematics East Point College of Engineering and TechnologyBangalore-560049India

A numerical investigation of laminar natural double diffusive convection in an open ended vertical cylindrical annulus with unheated entry and unheated exit is *** boundary conditions of uniform wall temperature/uniform wall concentration(UWT/UWC)and uniform heat flux/uniform mass flux(UHF/UMF)are *** of dimensionless induced volume rate Q,average Nusselt number Nu and Sherwood number Sh are obtained for air flow under various buoyancy ratio N,Grashof numbers due to heat and mass transfer GrT and GrM,Schmidt number Sc and combinations of unheated entry,heated section and unheated exit *** the flow under consideration is a boundary layer type,the governing partial differential equations was discretized to a linear system of equations by the use of an implicit finite difference *** nonlinear convective terms are approximated by second upwind difference method for the numerical *** numerical results reveal that the presence of unheated entry and unheated exit severely affects the heat and mass transfer *** numerical solutions are found to approach asymptotically the closed form solutions for fully developed ***,the present numerical results are validated with the existing solutions for pure thermal convection and are found to be in good agreement.

关键词： Discrete heating cylindrical annulus upwind difference doubles diffusive convection buoyancy ratio

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An experimental research on surface oscillation of buoyant-thermocapillary convection in open cylindrical annuli

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Acta Mechanica Sinica 2014年第5期30卷 681-686页

作者： Li Zhang Li Duan Qi Kang National Microgravity Laboratory Institute of Mechanics Chinese Academy of Sciences

An experiment is carried out on the surface oscillation of buoyant-thermocapillary convection in an open cylindrical annulus. When the radial temperature difference AT reaches a critical value △Tc, a regular oscillation appears and soon disappears on the open surface, which varies when the liquid layer＇s thickness h and temperature difference △T are varied. With growth of △T, dominant frequency of the visible oscillation will grow too but is found within certain frequencies. Driving forces, buoyance and thermocapillarity, are responsible for this phenomanon and the ＂balance＂ point is considered to exist when h is between 4.5-5.0 mm. Surface oscillation region is also found restricted within a narrow gap when Bo is smaller than 3.7.

关键词： cylindrical annulus Buoyant-thermocapillary convection Surface oscillation Critical temperature differ- ence

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