Numerical and experimental investigation of natural convection from horizontal heated cylinders (original) (raw)
2012
Last updatedFebruary 01, 2025
Abstract
This thesis is a collection of articles with an introduction which motivates the present work and relates the articles to each other. The main body of this thesis consist of six journal papers, which at the time of writing,

Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.
References (48)
- B.R. Gyles, B. Haegland, T.B. Dahl, A. Sanchis, S. Grafsrønningen, R.B. Schüller, and A. Jensen. Natural convection -subsea cooling; theory, simulations, experiments and design. Proceedings of the ASME 30th International Conference on Ocean, Offshore and Arctic Engineering, 2011.
- F.P. Incropera, D.P. DeWitt, T.L. Bergman, and A.S. Lavine. Fundamentals of Heat and Mass Transfer. John Wiley and Sons Inc., 2007.
- F.M.White. Viscous Fluid Flow. McGraw-Hill International Editions, 1991.
- B. Gebhart, Y. Jaluria, R.L. Mahajan, and B. Sammakia. Buoyancy-induced flows and transport. Hemisphere Publishing Corporation, 1988.
- A. Oberbeck. Über die Wärmeleitung der Flüssigkeiten bei Berücksichtigung der Strö- mungen infolge von Temperaturdifferenzen. Annalen der Physik, 243(6):271-292, 1879.
- D.D. Gray and A. Giorgini. The validity of the Boussinesq approximation for liquids and gases. International Journal of Heat and Mass Transfer, 19:545-551, 1976.
- W. Nusselt. Das Grundgesetz des Wärmeüberganges. Gesundheitsingenieur, 38:477-482, 1915.
- W. Nusselt. Die Wärmeabgabe eines waagrecht liegenden Drahtes oder Rohres in Flüs- sigketein und Gasen. Zeitschrift des Vereines deutscher Ingenieure, 41:1475-1478, 1929.
- V.T. Morgan. The overall convective heat transfer from smooth circular cylinders. Ad- vances in heat transfer, 11:199-264, 1975.
- S.W. Churchill and H.H.S. Chu. Correlating equations for laminar and turbulent free convection from a horizontal cylinder. International Journal of Heat and Mass Transfer, 18:1049-1053, 1975.
- Y.B. Zeldovich. The asymptotic laws of freely-ascending convective flows. Zh. Eksp. Teor. Fiz, 7:1463-1465, 1937 (in Russian) English translation in Selected Works of Yakov Borisovich Zeldovich, 1:82-85, 1992 (J.P. Ostriker ed.), Princeton University Press.
- G.R. Hunt and T.S. van den Bremer. Classical plume theory 1937-2010 and beyond. IMA Journal of Applied Mathematics, pages 424-448, 2010.
- B.R. Morton, G. Taylor, and J.S. Turner. Turbulent gravitational convection from main- tained and instantaneous sources. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 234:1-23, 1956.
- J. Lieberman and B. Gebhart. Interactions in natural convection from an array of heated elements, experimental. International Journal of Heat and Mass Transfer, 12:1385-1396, 1969.
- G.F. Marsters. Arrays of heated horizontal cylinders in natural convection. International Communications in Heat and Mass Transfer Journal of Heat and Mass Transfer, 15:921- 933, 1972.
- R.G. Bill and B. Gebhart. The transition of planar plumes. International Journal of Heat Mass and Transfer, 18:513-526, 1975.
- K. Noto, K. Teramoto, and T. Nakajima. Spectra and critical Grashof numbers for turbu- lent transition in a thermal plume. Journal of Thermophysics and Heat Transfer, 13:82-90, 1999.
- B. Hof, C. W.H. van Doorne, J. Westerweel, F.T.M. Nieuwstadt, H. Faisst, B. Eckhardt, H. Wedin, R. R. Kerswell, and F. Waleffe. Experimental observation of nonlinear traveling waves in turbulent pipe flow. Science, 305:1594-1598, 2004.
- B. Eckhardt. A critical point for turbulence. Science, 333:165-166, 2011.
- K. Avila, D. Moxey, A. de Lozar, M. Avila, D. Barkley, and B. Hof. The onset of turbu- lence in pipe flow. Science, 333:192-196, 2011.
- J.F. Douglas, J.M. Gasiorek, and J.A. Swaffield. Fluid Mechanics. Prentice Hall, 2001.
- F.R. Menter, M. Kuntz, and R. Langtry. Ten years of industrial experience with the sst turbulence model. Turbulence Heat and Mass Transfer 4, 4:2003, 2003.
- P.A.Durbin and B.A.Pettersson Reif. Statistical theory and modeling for turbulent flows. John Wiley and Sons Inc., 2003.
- K. Hanjalić. One-point closure models for buoyancy driven turbulent flows. Annual Re- view of Fluid Mechanics, 34:321-347, 2002.
- ANSYS Inc. ANSYS CFX-Solver Modeling guide, release 12.0 edition, April 2009.
- K. Kitamura, F.Kami-iwa, and T. Misumi. Heat transfer and fluid flow of natural convec- tion around large horizontal cylinders. International Journal of Heat and Mass Transfer, 42:4093-4106, 1999.
- S.B. Pope. Turbulent flows. Camebridge University Press, 2000.
- A. Shabbir and W.K. George. Experiments on a round turbulent buoyant plume. Journal of Fluid Dynamics, 275:1-32, 1994.
- M. Germano, U. Piomelli, P. Moin, and W.H. Cabot. A dynamic subgridscale eddy vis- cosity model. Phys. Fluids A, pages 1760-1765, 1991.
- S. Grafsrønningen, A. Jensen, and B.A.P. Reif. PIV investigation of buoyant plume from natural convection heat transfer above a horizontal heated cylinder. International Journal of Heat and Mass Transfer, 54:4975-4987, 2011.
- S. Grafsrønningen and A. Jensen. Simultaneous PIV/LIF measurements of a transitional buoyant plume above a horizontal cylinder. International Journal of Heat and Mass Trans- fer, 55:4195-4206, 2012.
- B.R. Gyles, B. Haegland, T.B. Dahl, A. Sanchis, S. Grafsrønningen, R.B. Schüller, and A. Jensen. Natural convection -subsea cooling; theory, simulations, experiments and design. Proceedings of the ASME 30th International Conference on Ocean, Offshore and Arctic Engineering, 2011.
- P.A. Durbin and B.A.P. Reif. Statistical theory and modeling for turbulent flows. John Wiley and Sons Inc., 2003.
- T.H. Kuehn and R.J. Goldstein. Numerical solution to the Navier-Stokes equations for laminar natural convection about a horizontal isothermal circular cylinder. International Journal of Heat and Mass Transfer, 23:971-979, 1980.
- B. Farouk and S.I. Güçeri. Natural convection from a horizontal cylinder -laminar regime. Transactions of the ASME, 103:522-527, 1981.
- B. Farouk and S.I. Güçeri. Natural convection from a horizontal cylinder -turbulent regime. Transactions of the ASME, 104:228-235, 1982.
- S. Grafsrønningen, A. Jensen, and B.A.P. Reif. Large eddy simulation of a buoyant plume above a heated horizontal cylinder at intermediate rayleigh numbers. Submitted to Inter- national Journal of Heat and Mass Transfer, 2012.
- K. Hanjalić. One-point closure models for buoyancy driven turbulent flows. Annual Re- view of Fluid Mechanics, 34:321-347, 2002.
- ANSYS Inc. ANSYS CFX-Solver Modeling guide, release 12.0 edition, April 2009.
- G. Barakos, E. Mitsoulis, and D. Assimacopolous. Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions. International Journal for Numerical Methods in Fluids, 18:695-719, 1994.
- ANSYS Inc. ANSYS CFX Referance Guide, release 12.0 edition, April 2009.
- P. Kiš and H. Herwig. The near wall physics and wall functions for turbulent natural convection. International Journal of Heat and Mass Transfer, 55:2625-2635, 2012.
- K. Hanjalić and S. Kenjereš. 'T-RANS' simulation of deterministic eddy structure in flows driven by thermal buoyancy and lorentz force. Flow, Turbulence and Combustion, 66:427-451, 2001.
- ANSYS Inc. ANSYS CFX-Solver Theory guide, release 12.0 edition, April 2009.
- F.R. Menter, R. Langtry, and S. Völker. Transition modelling for general purpose CFD codes. Flow Turbulence Combust, 77:277-303, 2006.
- K. Noto, K. Teramoto, and T. Nakajima. Spectra and critical Grashof numbers for turbu- lent transition in a thermal plume. Journal of Thermophysics and Heat Transfer, 13:82-90, 1999.
- S.B. Pope. Turbulent flows. Camebridge University Press, 2000.
- G.K. Batchelor. Small-scale variation of convected quantities like temperature in turbu- lent fluid. Part 1. general discussion and the case of small conductivity. Journal of Fluid Mechanics, 5(1):113-133, 1959.