DÜŞEY DUVARLARI KISMİ ISITILAN VE SOĞUTULAN DUVARLAR İÇERİSİNDEKİ SUYUN 4°C CİVARINDAKİ DOĞAL TAŞINIMI
Bu çalışmada, iki boyutlu kavite içerisindeki zamana bağlı ısı transferi prosesi sayısal olarak incelenmiştir. Sayısal model kontrol hacimleri yaklaşımı kullanılarak C++ programlama dilinde oluşturulmuştur. Sayısal kodun doğruluğunu belirlemek için, literatürden alınan sayısal analiz sonuçları ve deneysel hız ölçümleri ile karşılaştırmalar yapılmıştır. Bundan sonra, çeşitli kavite görünüm oranları ve farklı ısıl sınır koşulları için zamana bağlı yerel ve ortalama Nusselt sayısı değişimleri ortaya koyulmuştur. Farklı sınır koşulları ile sıcaklık ve hız dağılımları arasındaki etkileşim incelenmiştir. Soğu depolama uygulamalarında su sıcaklığı yoğunluk dönüşüm sıcaklığının altına düşmekte ve suyun doğal taşınımı kompleks hale gelmektedir. Bununla beraber, literatürde soğu depolama ünitelerinin simülasyonu için geliştirilen modellerin büyük çoğunluğunda birleşik yönetici denklemlerin karmaşıklığını basitleştirmek adına ısı transferi mekanizması iletime indirgenmekte ve böylece çözüm süresinde önemli avantajlar elde edilebilmektir. Karmaşık taşınım akımlarının ihmal edilmesi hatalı tahminlere sebep olabilmektedir. Bu bağlamda, bu çalışmada elde edilecek sonuçlar, depolama ortamı olarak su kullanılan soğu depolama uygulamalarında çalışan araştırmacılara ve tasarım mühendislerine yol gösterici olacaktır.
NATURAL CONVECTION OF WATER NEAR 4°C INSIDE PARTIALLY HEATED AND COOLED VERTICAL WALLS
In this study, transient heat transfer process inside a two-dimensional cavity has been numerically investigated. Thenumerical model has been created with control volume approach by using C++ programming language. In order to determine theaccuracy of the numerical code, comparisons are made with the results of the numerical analysis and experimental velocitymeasurements from the literature. After that, the time-dependent variations of local and averageNusselt numbers have been revealedfor various aspect ratios and different thermal boundary conditions of the cavity. The interaction of temperature and velocitydistributions by different boundary conditions has been examined. In cold storage applications, water temperature decreases belowthe density inversion temperature and the natural convection of water becomes more complicated. Nevertheless, the majority of themodels that are developed to simulate the cold storage units in the literature reduce the heat transfer mechanism into conductionmode to simplify the complexity of the coupled governing equations, so that take advantage of decreasing the computational time.Neglecting the complex convection currents may lead erroneous predictions. In this regard, the results of the current work will guidethe researchers and the design engineers working on the cold storage applications with water as a storage medium.Keywords: Transient natural convection, Density inversion, Partial heating/cooling, Aspect ratio.
___
- Wei T. and Koster J. N., 1994, Density Inversion Effect
on Transient Natural Convection in a Rectangular
Enclosure, International Journal of Heat and Mass
Transfer, 37, 927−938.
- Seki N., Fukusako S. and Inaba H. 1978, Free Convective Heat
Transfer with Density Inversion in a Confined Rectangular
Vessel, Wärme-und Stoffübertragung, 11, 145−156.
- Türkoglu H. and Yücel N., 1995, Effect of Heater and
Cooler Locations on Natural Convection in Square
Cavities, Numerical Heat Transfer, Part A: Applications,
27, 351−358.
- Tekkalmaz M., 2015, Numerical Analysis of Combined
Natural Convection and Radiation in a Square Enclosure
Partially Heated Vertical Wall, Isı Bilimi ve Tekniği
Dergisi/Journal of Thermal Science & Technology, 35,
99−106.
- Rashidi I., Mahian O., Lorenzini G., Biserni C. and
Wongwises S., 2014, Natural Convection of Al2O3/Water
Nanofluid in a Square Cavity: Effects of Heterogeneous
Heating, International Journal of Heat and Mass
Transfer, 74, 391−402.
- Rahimi M., Ranjbar A. A., Hosseini M. J. and
Abdollahzadeh M., 2012, Natural Convection of
Nanoparticle–water Mixture Near Its Density Inversion in a
Rectangular Enclosure, International Communications in
Heat and Mass Transfer, 39, 131−137.
- Patankar S., 1980, Numerical Heat Transfer and Fluid
Flow. CRC Press.
- Öztuna S. and Kahveci K., 2013, Natural Convection
Heat Transfer of Nanofluids in a Partially Divided
Enclosure, Isı Bilimi ve Tekniği Dergisi/Journal of
Thermal Science & Technology, 33, 139−154.
- Öğüt E. B., 2010, Eğik Kare Kapalı Bir Bölge İçindeki
Su Bazlı Nanoakışkanların Doğal Taşınımla Isı
Transferi, Isi Bilimi ve Tekniği Dergisi/Journal of
Thermal Science & Technology, 30, 23−33.
- Nithyadevi N., Kandaswamy P. and Lee J., 2007b,
Natural Convection in a Rectangular Cavity with
Partially Active Side Walls, International Journal of
Heat and Mass Transfer, 50(23), 4688−4697.
- Nithyadevi N., Sivasankaran S. and Kandaswamy P.,
2007a, Buoyancy−Driven Convection of Water Near Its
Density Maximum with Time Periodic Partially Active
Vertical Walls, Meccanica, 42, 503−510.
- Nardini G. and Paroncini M., 2012, Heat Transfer
Experiment on Natural Convection in a Square Cavity with
Discrete Sources, Heat and Mass Transfer, 48, 1855−1865.
- Moraga N. O. and Vega S. A., 2004, Unsteady ThreeDimensional
Natural Convection of Water Cooled Inside
a Cubic Enclosure, Numerical Heat Transfer, Part A:
Applications, 45, 825−839.
- McDonough M. W. and Faghri A., 1994, Experimental
and Numerical Analyses of the Natural Convection of
Water Through its Density Maximum in a Rectangular
Enclosure. International Journal of Heat and Mass
Transfer, 37, 783−801.
- Mahapatra P. S., Manna N. K. and Ghosh K., 2015,
Effect of Active Wall Location in a Partially Heated
Enclosure, International Communications in Heat and
Mass Transfer, 61, 69−77.
- Lin D. S. and Nansteel M. W., 1987, Natural Convection
Heat Transfer in a Square Enclosure Containing Water
Near its Density Maximum, International Journal of
Heat and Mass Transfer, 30, 2319−2329.
- Li G., Hwang Y. and Radermacher R., 2012, Review of Cold
Storage Materials for Air Conditioning Application,International
Journal of Refrigeration, 35(8), 2053−2077.
- Lee S. L., 1990, A Strongly Implicit Solver for Twodimensional
Elliptic Differential Equations, Numerical
Heat Transfer, Part B Fundamentals, 16, 161−178.
- Kandaswamy P., Sivasankaran S. and Nithyadevi N., 2007,
Buoyancy−Driven Convection of Water Near Its Density
Maximum with Partially Active Vertical Walls, International
Journal of Heat and Mass Transfer, 50, 942−948.
- Jmai R., Ben-Beya B. and Lili T., 2013, Heat Transfer
and Fluid Flow of Nanofluid-Filled Enclosure with Two
Partially Heated Side Walls and Different Nanoparticles,
Superlattices and Microstructures, 53, 130−154.
- Ismail K. A., Henriquez J. R., and Da Silva T. M., 2003,
A Parametric Study on Ice Formation Inside a Spherical
Capsule, International Journal of Thermal Sciences, 42,
881−887.
- Inaba H. and Fukuda, T., 1984, Natural Convection in an
Inclined Square Cavity in Regions of Density Inversion
of Water, Journal of Fluid Mechanics, 142, 363−381.
- Hossain M. A. and Rees D. S., 2005, Natural Convection
Flow of Water Near its Density Maximum in a
Rectangular Enclosure Having Isothermal Walls with
Heat Generation, Heat And Mass Transfer, 41, 367−374.
- Heier J., Bales C. and Martin V. 2015, Combining Thermal
Energy Storage with Buildings–a Review, Renewable and
Sustainable Energy Reviews, 42, 1305−1325.
- Ezan M. A., Uzun M. and Erek A., 2014, A Study on
Evaluation of Effective Thermal Conductivity for
Spherical Capsules, The 10th International Conference
on Heat Transfer, Fluid Mechanics and
Thermodynamics, Florida, 427−433.
- Braga S. L. and Viskanta R., 1992, Transient Natural
Convection of Water Near its Density Extremum in a
Rectangular Cavity, International Journal of Heat and
Mass Transfer, 35, 861−875.
- Bergman T. L., Incropera F. P. and Lavine A. S., 2011,
Fundamentals of Heat and Mass Transfer (Seventh Ed.),
John Wiley & Sons.
- Banaszek J., Jaluria Y., Kowalewski T. A. and Rebow
M., 1999, Semi-Implicit FEM Analysis of Natural
Convection in Freezing Water, Numerical Heat Transfer:
Part A: Applications, 36, 449−472.