A Numerical Parametric Study of the Growth of Ice Formation Around a Vertical Tube, During the Full Charging Process of an Indirect, Area-Constrained, Ice-on-Pipe Storage Tank

2003 ◽  
Author(s):  
Cleyton S. Stampa ◽  
Angela O. Nieckele ◽  
Sergio L. Braga
Keyword(s):  
Heat Transfer ◽  
Storage Tank ◽  
Vertical Wall ◽  
Vertical Tube ◽  
Layer Growth ◽  
Ice Storage ◽  
Vertical Annulus ◽  
Numerical Parametric Study ◽  
Volume Method ◽  
The Mathematical Model

A parametric numerical investigation regarding the ice layer growth outside a vertical tube is investigated. It encompasses heat transfer and removal of energy, applicable to indirect, area-constrained, ice-on-pipe storage tanks. The study is carried out in a vertical annulus, with the inner vertical wall representing one of the tubes packed into a typical storage tank. Further, the outer vertical wall determines the maximum border for the ice layer growth under the conditions established in the present study, corresponding to a full charging process in such devices. Our task is to provide helpful qualitative results for the investigation of ice storage tank heat transfer performance, considering changes in the following parameters: aspect ratio, radius ratio, Grashof and Stefan numbers. For the mathematical model adopted to simulate transient natural convection of water with phase-change (solidification), it was utilized a model based on the finite volume method to solve the set of coupled conservation equations of mass, momentum and energy.

A Numerical Study Concerning the Influence of the Grashof Number in the Indirect Ice Storage Tanks Performance

2006 ◽  
Author(s):  
Cleyton S. Stampa ◽  
Angela O. Nieckele
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Phase Change ◽  
Flow Pattern ◽  
Storage Tank ◽  
Vertical Wall ◽  
Heat Transfer Analysis ◽  
Ice Storage ◽  
Storage Tanks ◽  
Grashof Number

The present paper deals with typical chiller-based ice storage tanks. Natural convection of water (Phase Change Material-PCM) near its density maximum leads to a peculiar nature of the flow pattern in the liquid phase of the PCM, giving rise to a multi-cellular regime that affects drastically the heat transfers within the tank. So, this work intends to examine numerically how the flow pattern affects qualitatively the performance of such thermal storage devices. This is done by investigating the influence of the non-dimensional parameter Grashof number during the charging operation step of such devices that corresponds to the ice making process occurring within the storage tank. Besides, the tank is assumed to be vertically positioned, as well as their internal tubes through which the secondary fluid flows. In order to analyze the heat transfer between the PCM and one internal tube during the growth of an ice layer around it, one selected a vertical annulus as the physical model. The inner vertical wall represents one of the tubes packed into a typical storage tank, while the outer vertical wall represents the thickness of formed ice around the tube. Regarding the annulus, the top and bottom walls, as well as the outer vertical wall were considered thermally insulated. The thermal analysis is focused in the heat transfer at the inner wall for different values of Grashof, keeping unchanged all other parameters that govern the natural convection problem with phase change. An overview of the cooling process is analyzed through streamlines and isotherms, for specific instants of the physical process. Further, a heat transfer analysis for the total charging stage is presented.

scholarly journals Numerical parametric study of a cooling system for an LNG storage tank

2019 ◽  
Vol 74 ◽  
pp. 21 ◽  
Author(s):  
Mohamed Haddar ◽  
Moez Hammami ◽  
Mounir Baccar
Keyword(s):  
Heat Transfer ◽  
Lateral Surface ◽  
Storage Tank ◽  
Cooling System ◽  
Liquefied Natural Gas ◽  
Cylindrical Tank ◽  
Heat Gain ◽  
Nusselt Numbers ◽  
Numerical Parametric Study ◽  
Volume Method

The study of the cooling system of a Liquefied Natural Gas (LNG) storage tank is vital for the safety of the installation. The objective of this paper is to develop cooling baffles capable of reducing the heat gain from the environment leading to a loss of LNG quantity, keeping the Boil-Off Gas (BOG) under control. For this purpose, a specific code based on the finite volume method was developed to improve our knowledge of the hydrodynamic and thermal behaviors of LNG in the cylindrical tank. In addition, the effect of the number, position and dimension of the baffles on the flow structure of LNG were determined. The obtained results indicated that the location of the baffles at the top of the tank nearby the vicinity of the wall would yield a better cooling of the LNG. Moreover, we emphasized that a number of six baffles would give rise to a better heat transfer. For a design purpose, the Nusselt numbers on the lateral surface and on the baffles have been correlated as functions of Rayleigh and baffle numbers.

Effect of Periodic Imposed Heat Flux on Three-Dimensional Natural Convection in a Partially Heated Cubical Enclosure

2016 ◽  
Vol 831 ◽  
pp. 83-91
Author(s):  
Lahoucine Belarche ◽  
Btissam Abourida
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Numerical Study ◽  
Control Volume ◽  
Vertical Wall ◽  
Three Dimensional ◽  
Maximum Temperature ◽  
Cubical Enclosure ◽  
Simplec Algorithm ◽  
Volume Method

The three-dimensional numerical study of natural convection in a cubical enclosure, discretely heated, was carried out in this study. Two heating square sections, similar to the integrated electronic components, are placed on the vertical wall of the enclosure. The imposed heating fluxes vary sinusoidally with time, in phase and in opposition of phase. The temperature of the opposite vertical wall is maintained at a cold uniform temperature and the other walls are adiabatic. The governing equations are solved using Control volume method by SIMPLEC algorithm. The sections dimension ε = D / H and the Rayleigh number Ra were fixed respectively at 0,35 and 106. The average heat transfer and the maximum temperature on the active portions will be examined for a given set of the governing parameters, namely the amplitude of the variable temperatures a and their period τp. The obtained results show significant changes in terms of heat transfer, by proper choice of the heating mode and the governing parameters.

Direct Current/Alternating Current Magnetohydrodynamic Micropump of a Hybrid Nanofluid Through a Vertical Annulus With Heat Transfer

2020 ◽  
Vol 12 (4) ◽  
Author(s):  
Y. A. S. El-Masry ◽  
Y. Abd Elmaboud ◽  
M. A. Abdel-Sattar
Keyword(s):  
Heat Transfer ◽  
Direct Current ◽  
Biomedical Applications ◽  
Alternating Current ◽  
Hybrid Nanofluid ◽  
Titanium Oxide Nanoparticles ◽  
New Class ◽  
The Laplace Transform ◽  
Vertical Annulus ◽  
The Mathematical Model

Abstract Gold nanoparticles (AuNPs) are increasingly being widely used in several biomedical applications for their compatibility of synthesis and less toxicity. The mixture of gold and titanium oxide nanoparticles is suspended in water to make a new class of nanofluid, which is called a hybrid nanofluid. The problem of direct current (DC)/alternating current (AC) magnetohydrodynamic (MHD) micropump of the hybrid nanofluid through a porous medium in the gap between vertical coaxial microtubes with heat transfer has been discussed. The mathematical model is established and then solved with the help of the Laplace transform. The inversion of the transformed functions is calculated numerically. The velocity, the flowrate, the pressure, and the heat transfer are discussed graphically. The higher concentration of the mixture of particles enhances the stream so that the required pressure is small. Moreover, it is found that the variation of the Nusselt number is noticeable by increasing the concentrations of nanoparticles, but this variation vanishes near the outer tube.

scholarly journals NUMERICAL STUDY OF ICE LAYER GROWTH AROUND A VERTICAL TUBE

2005 ◽  
Vol 4 (2) ◽  
pp. 138
Author(s):  
C. S. Stampa ◽  
A. O. Nieckeleb
Keyword(s):  
Thermal Energy ◽  
Numerical Study ◽  
Vertical Tube ◽  
Layer Growth ◽  
Heat Of Fusion ◽  
Energy Storage Devices ◽  
Storage Devices ◽  
Volume Method ◽  
Vertical Tubes ◽  
Change Material

Typical latent heat of fusion storage systems consists of vertical tubes inside a larger container, with phase change material being formed outside the tubes. During the charging stage of the cycle, ice is formed around the exterior of the tubes. Once all water has frozen, the discharging process can begin. This work presents a numerical investigation concerning the growth of an ice layer formed outside a vertical tube, inside an annular cavity. The inner wall of the cavity represents the external wall of the tube, whereas the outer one represents the limit of growth for the formed ice layer. Natural convection plays a significant role during the ice formation, especially due to density inversion behavior with temperature. To be able to control the growth of ice layers inside typical thermal energy storage devices, it is necessary to understand the phenomenum. The problem was solved two-dimensionally, making use of a model based on the finite volume method. The results are presented by means of: streamlines, representing the flow patterns driven by buoyancy forces; isolines of temperature; heat transfer at the inner wall of the cavity and the extraction of the thermal energy stored into the annular region of the cavity.

Influence of Coil Inclined around Y Axis on Thermomagnetic Convection of Air in a Porous Cubic Enclosure under Zerogravity

2011 ◽  
Vol 354-355 ◽  
pp. 24-28 ◽  
Author(s):  
Chang Wei Jiang ◽  
Xian Feng Zhu ◽  
Er Shi ◽  
Zhen Zhou
Keyword(s):  
Heat Transfer ◽  
Magnetic Force ◽  
Vertical Wall ◽  
Simple Algorithm ◽  
Darcy Number ◽  
The Other ◽  
Governing Equations ◽  
Left Hand ◽  
Thermomagnetic Convection ◽  
Volume Method

Thermomagnetic convection of air in a porous cubic enclosure with a electric coil inclined around the Y axis is numerically investigated under zerogravity environment. The porous cubic enclosure is heated isothermally from left-hand side vertical wall and cooled isothermally from opposing wall while the other four walls are thermally insulated. The governing equations in primitive variables are discretized by the finite-volume method and solved by the SIMPLE algorithm. The results show that the overall heat transfer is enhanced gradually with the increase of magnetic force number and Darcy number. The resulted convection is symmetrical in terms of the angle at yeuler =0 when the range of inclination angle is from -90 to 90.

scholarly journals Mathematical modeling of large floating roof reservoir temperature arena

2018 ◽  
Vol 20 (1) ◽  
pp. 67-74 ◽  
Author(s):  
Yang Liu ◽  
Jiawei Fan ◽  
Qinglin Cheng
Keyword(s):  
Heat Transfer ◽  
Temperature Field ◽  
Storage Tank ◽  
Three Dimensional ◽  
Tank Wall ◽  
Reservoir Temperature ◽  
Radial Temperature ◽  
Low Temperature Storage ◽  
The Mathematical Model ◽  
Temperature Storage

Abstract The current study is a simplification of related components of large floating roof tank and modeling for three dimensional temperature field of large floating roof tank. The heat transfer involves its transfer between the hot fluid in the oil tank, between the hot fluid and the tank wall and between the tank wall and the external environment. The mathematical model of heat transfer and flow of oil in the tank simulates the temperature field of oil in tank. Oil temperature field of large floating roof tank is obtained by numerical simulation, map the curve of central temperature dynamics with time and analyze axial and radial temperature of storage tank. It determines the distribution of low temperature storage tank location based on the thickness of the reservoir temperature. Finally, it compared the calculated results and the field test data; eventually validated the calculated results based on the experimental results.

Natural Convection Cooling of an Array of Flush Mounted Discrete Heaters Inside a 3D Cavity

2017 ◽  
Vol 9 (3) ◽  
pp. 698-721 ◽  
Author(s):  
V. P. M. Senthil Nayaki ◽  
S. Saravanan ◽  
X. D. Niu ◽  
P. Kandaswamy
Keyword(s):  
Heat Transfer ◽  
Aspect Ratio ◽  
Vertical Wall ◽  
Three Dimensional ◽  
Heat Removal ◽  
Simple Algorithm ◽  
Nusselt Numbers ◽  
Flow And Heat Transfer ◽  
Cold Walls ◽  
Volume Method

AbstractAn investigation of natural convective flow and heat transfer inside a three dimensional rectangular cavity containing an array of discrete heat sources is carried out. The array consists of a row and columnwise regular arrangement of identical square shaped isoflux discrete heaters and is flush mounted on a vertical wall of the cavity. A symmetrical isothermal sink condition is maintained by cooling the cavity uniformly from either the opposite wall or the side walls or the top and bottom walls. The other walls of the cavity are maintained adiabatic. A finite volume method based on the SIMPLE algorithm and the power law scheme is used to solve the conservation equations. The parametric study covers the influence of pertinent parameters such as the Rayleigh number, the Prandtl number, side aspect ratio of the cavity and cavity heater ratio. A detailed fluid flow and heat transfer characteristics for the three cases are reported in terms of isothermal and velocity vector plots and Nusselt numbers. In general it is found that the overall heat transfer rate within the cavity for Ra=107 is maximum when the side aspect ratio of the cavity lies between 1.5 and 2. A more complex and peculiar flow pattern is observed in the presence of top and bottom cold walls which in turn introduces hot spots on the adiabatic walls. Their location and size are highly sensitive to the side aspect ratio of the cavity and hence offers more effective ways for passive heat removal.

Study of heat transfer in ice-storage tank

2001 ◽  
Vol 10 (4) ◽  
pp. 357-362 ◽  
Author(s):  
Anding He ◽  
Huanqun Qian ◽  
Zhihua Hu ◽  
Fangde Zhou
Keyword(s):  
Heat Transfer ◽  
Storage Tank ◽  
Ice Storage
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