Alt Duvarı Dalgalı Kapalı Kare Geometride Yüzey Işınımı ile Doğal Taşınımın Sayısal İncelenmesi

Year 2018, Volume: 18 Issue: 3, 1137 - 1148, 30.12.2018

Mesut Tekkalmaz

Abstract

Alt duvarı dalgalı ve tüm duvarlarında aynı yüzey ışınım yayma oranına sahip kapalı kare geometride birleşik doğal taşınım ve yüzey ışınımı sayısal olarak incelenmiştir. Geometride alt duvar ısıtılmış, üst duvar soğutulmuş, dikey duvarlar ise yalıtılmıştır. Sıcak ve soğuk duvarlar izotermal ve sabit sıcaklıkta tutulmuştur. Doğal taşınım için tanımlanan momentum ve enerji denklemi 104≤Ra≤106 ve 0≤ε≤1 alınarak SIMPLE algoritması ile sonlu hacimler kullanılarak Fluent paket programında çözülmüştür. Katılımcı olmayan ortam için yüzeyler arası ışınımla ısı transferi denklemi Discrete Ordinate Metod (DOM) kullanılarak çözülmüştür. Soğuk duvar üzerinden hesaplanan ortalama Nusselt sayısı ve geometride meydana gelen akış değişimleri değişen Rayleigh sayısı, yüzey ışınım yayma oranı, alt duvar dalga sayısı ve dalga genliği için analiz edilmiştir. Dalgalı duvarın dalga sayısı ve genliğinin değişimi aynı şartlardaki düz duvara göre bazı durumlarda ortalama toplam Nusselt sayısında maksimum %8.82 değerinde bir iyileştirme sağlamıştır.

Keywords

Rayleigh Bernard Taşınım, Doğal Taşınım, Yüzey Işınımı, Dalgalı Alt Duvar

References

• Adjlout L., Imine O., Azzi A. and Belkadi M., 2002. Laminar natural convection in an inclined cavity with a wavy wall. International Journal of Heat and Mass Transfer, 45, 2141-2152.
• Arpaci S.V., Selamet A. and Kao S.H., 2000. Introduction to heat transfer, PrenticeHall.
• Akiyama M. and Chong Q.P., 1997. Numerical Analysis of Natural Convection with Surface Radiation in a Square Enclosure. Numerical Heat Transfer, Part A: Applications, 31, 419-433.
• Balaji C. and Venkateshan S.P.,1993. Interaction of surface radiation with free convection in a square cavity. International Journal Heat and Mass Transfer, 14, 260-267.
• Bhavnani S.H. and Bergles A.E., 1991. Natural convection heat transfer from sinusoidal wavy surfaces. Heat and Mass Transfer, 26, 341-349.
• Dalal A. and Das M.K., 2005. Laminar natural convection in an inclined complicated cavity with spatially variable wall temperature. International Journal of Heat and Mass Transfer, 48, 2986-3007.
• Das P.K. and Mahmud S., 2003. Numerical investigation of natural convection inside a wavy enclosure. International Journal of Thermal Science, 42, 397-406.
• De Vahl Davis G. and Jones I.P., 1983. Natural convection in a square cavity: a comparison exercise. International Journal of Numerical Medhods for Heat and Fluid Flow, 3, 227-248.
• Fluent 6.3, Fluent User's Guide, 2005.
• Gad M.A. and Balaji C., 2010. Effect of surface radiation on RBC in cavities heated from below. International Communications in Heat and Mass Transfer, 37, 1459-1464.
• Jang J.H., Yan W.M. and Liu H.C., 2003. Natural convection heat and mass transfer along a vertical wavy surface. International Journal of Heat and Mass Transfer, 46, 1075-1083.
• Kumari M., Pop I. and Takhar H.S., 1997. Free-convection boundary-layer flow of a non-Newtonian fluid along a vertical wavy surface. International Journal of Heat and Fluid Flow, 18, 625-631.
• Mahapatra S.K., Sen S. and Sarkar A., 1999. Interaction of Surface radiation and vaiable property natural convection in a differentially heated square cavity a finite element analysis. International Journal of Numerical Medhods for Heat and Fluid Flow, 9, 4423-4443.
• Mahmud S. and Islam A.K.M.S., 2003. Laminar free convection and entropy generation inside an inclined wavy enclosure. International Journal of Thermal Science, 42, 1003-1012.
• Mahmut S., Das D.K.N.H. and Islam A.K.M.S., 2002. Laminar free convection and entropy generation inside wavy enclosure. International Journal of Thermal Science, 41, 440-446.
• Markatos N.C. and Perikleous K.A.,1984. Laminar and turbulent natural convection in an enclosed cavity. International Journal Heat and Mass Transfer, 27, 755-772.
• Mezrhab A. and Bchir L., 1999. Radiation natural convection interactions in partitioned cavities. International Journal of Numerical Medhods for Heat and Fluid Flow, 9, 186-203.
• Ostrach S.,1988. Natural convection in enclosures. Journal of Heat Transfe.r, 110, 1175-1190.
• Rahman S.U., 2001. Natural convection along vertical wavy surfaces: an experimental study. Chemical Engineering Journal, 84, 587-591.
• Ridouane E.H., Hasnaoui M., Amahmid A. and Raji A., 2004. Interaction between Natural Convection and Radiation in a Square Cavity Heated from Below. Numerical Heat Transfer, Part A: Applications, 45, 289-311.
• Ridouane E.H., Hasnaoui M. and Campo A., 2005. Effects of surface radiation on natural convection in a rayleigh-benard square enclosure: steady and unsteady conditions. Heat and Mass Transfer, 42, 214-225.
• Saidi C., Legay F. and Pruent B., 1987. Laminar flow past a sinusoidal cavity. International Journal of Heat and Mass Transfer, 30, 649-660.
• Tekkalmaz M., 2013. Natural Convection Heat Transfer and Air Flow in Rectangular Enclosures with a wavy Wall. Journal of Thermal Science and Technology, 33, 21-31.
• Varol Y. and Oztop H.F., 2006. Free convection in a shallow wavy enclosure. International Communications in Heat and Mass Transfer, 33, 764-771.
• Varol Y. and Oztop H.F., 2008. A comparative numerical study on natural convection in inclined wavy and flat-plate solar collectors. Building and Environment, 43, 1535-1544.
• Wang H., Xin S., and Le Quéré P., 2006. Étude numérique du couplage de la convection naturelle avec le rayonnement de surfaces en cavité carrée remplie d'air. Comptes Rendus Mécanique, 334, 48-57.
• Yao L.S., 1983. Natural convection along a vertical wavy surface. Journal of Heat Transfer, 105, 465-468.
• Yao L.S., 2006. Natural convection along a vertical complex wavy surface. International Journal of Heat and Mass Transfer, 49, 281-286.