Journal ArticleDOI
Transient and steady behavior of an open, symmetrically-heated, free convection loop
Haim H. Bau,Kenneth E. Torrance +1 more
TLDR
In this article, the starting transients and the friction factors and heat transfer rates at steady state for flow Reynolds numbers from 4 to 1000 were analyzed for an open, free convection loop.About:
This article is published in International Journal of Heat and Mass Transfer.The article was published on 1981-04-01. It has received 74 citations till now. The article focuses on the topics: Steady state (electronics) & Natural convection.read more
Citations
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A review of natural circulation loops in pressurized water reactors and other systems
TL;DR: A survey on the theoretical and experimental work on single-phase natural circulation loops (thermosyphons) can be found in this article, which includes available modeling methods (analytical and numerical) to describe steady-state flows, transients and stability characteristics of the various loops.
Journal ArticleDOI
Experimental observations on the general trends of the steady state and stability behaviour of single-phase natural circulation loops
TL;DR: In this article, the steady state flow in uniform or non-uniform diameter single-phase natural circulation loops (NCLs) can be expressed as Ress = C[Grm/NG]r where the constants C and r depend on the nature of the flow (i.e. laminar or turbulent).
Journal ArticleDOI
Measurement and simulation of flow rate in a water-in-glass evacuated tube solar water heater
TL;DR: In this article, the authors evaluated the characteristics of water-in-glass evacuated tube solar water heaters including assessment of the circulation rate through single ended tubes and developed a numerical model of the heat transfer and fluid flow inside a single-ended evacuated tube.
Journal ArticleDOI
Controlling Chaos in a Thermal Convection Loop
TL;DR: In this paper, it is demonstrated experimentally and theoretically that through the use of an active feedback controller one can dramatically modify the nature of the flow in a toroidal thermal convection loop heated from below and cooled from above.
Journal ArticleDOI
Scaling laws for single-phase natural circulation loops
TL;DR: The power-to-volume scaling laws used for the construction of scaled test facilities simulating the primary system of nuclear power plants result in loops of the same elevation (and length) with reduced diameters as mentioned in this paper.
References
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Book
Dynamics of fluids in porous media
TL;DR: In this paper, the Milieux poreux Reference Record was created on 2004-09-07, modified on 2016-08-08 and the reference record was updated in 2016.
Journal ArticleDOI
On the oscillatory instability of a differentially heated fluid loop
Abstract: A theoretical discussion is given of the motion of a fluid contained in a tube forming a closed loop that is heated from below and cooled from above. The fluid is assumed to have uniform temperature over each cross-section, and the heat transfer is assumed proportional to the difference between the local temperatures of the fluid and the tube. The latter temperature is prescribed. The system has one steady solution with warm fluid rising in one branch and cold fluid sinking in the other. This solution may, however, become unstable in an oscillatory manner. A weak instability takes the form of pulsations, the motion being always of one sign, while a strong instability takes the form of oscillations with zero mean motion. These oscillations are irregular and do not repeat themselves even over very long times.These unstable motions are associated with thermal anomalies in the fluid that are advected materially around the loop. The anomalies amplify through the correlated variations in flow rate. A warm pocket of fluid creates maximum flow rate going through the upper part and minimum flow rate going through the lower part of the loop. Accordingly it passes quicker through the heat sink than through the heat source, and the latter becomes more effective. Similarly, the heat sink acts more effectively on a cold pocket of fluid.The curve of neutral stability is worked out as a function of the two parameters of the problem, a non-dimensional gravity and a non-dimensional friction coefficient. The instability has also been studied by direct numerical time integration of the model equations.It is suggested that the mechanism of instability found for this model operates also in more complicated systems, and can explain the pulsative type of motions observed recently in certain convection experiments.
Functions of a complex variable : theory and technique/ by George F. Carrier, Max Krokk, Carl E. Pearson
TL;DR: Preface Erratum 1. Complex numbers and their elementary properties 2. Analytic functions 3. Contour integration 4. Conformal mapping 5. Special functions 6. Asymptotic methods 7. Transform methods 8. Special techniques Index.
Book
Functions of a Complex Variable: Theory and Technique
TL;DR: In this paper, complex numbers and their elementary properties of complex numbers are discussed. But the authors do not discuss the relation between complex numbers, analytic functions, and transform methods, and they do not provide any special techniques.