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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 24, 1993 - Issue 2
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Original Articles

Natural Convection in Trapezoidal Cavities

Pages 213-219 | Received 13 Jan 1992, Accepted 15 Jun 1992, Published online: 16 Jan 2007

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Read on this site (16)

S. P. Malkeson, S. Alshaaili & N. Chakraborty. (2023) Numerical investigation of steady state laminar natural convection of power-law fluids in side-cooled trapezoidal enclosures heated from the bottom. Numerical Heat Transfer, Part A: Applications 83:7, pages 770-789.
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Krishne Gowda B. Mote Gowda, Madurai S. Rajagopal, Aswatha & Kankanhalli N. Seethramu. (2020) Numerical Studies on Natural Convection in a Trapezoidal Enclosure With Discrete Heating. Heat Transfer Engineering 41:6-7, pages 595-606.
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D. Ramakrishna, Tanmay Basak & S. Roy. (2013) Heatlines for Visualization of Heat Transport for Natural Convection within Porous Trapezoidal Enclosures with Various Wall Heating. Numerical Heat Transfer, Part A: Applications 63:5, pages 347-372.
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R. Roslan, H. Saleh & I. Hashim. (2011) Buoyancy-Driven Heat Transfer in Nanofluid-Filled Trapezoidal Enclosure with Variable Thermal Conductivity and Viscosity. Numerical Heat Transfer, Part A: Applications 60:10, pages 867-882.
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Éliton Fontana, Adriano da Silva, Viviana Cocco Mariani & Francisco Marcondes. (2010) The Influence of Baffles on the Natural Convection in Trapezoidal Cavities. Numerical Heat Transfer, Part A: Applications 58:2, pages 125-145.
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Khalil Lasfer, Mounir Bouzaiane & Taieb Lili. (2010) Numerical Study of Laminar Natural Convection in a Side-Heated Trapezoidal Cavity at Various Inclined Heated Sidewalls. Heat Transfer Engineering 31:5, pages 362-373.
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E. Natarajan, S. Roy & Tanmay Basak. (2007) Effect of Various Thermal Boundary Conditions on Natural Convection in a Trapezoidal Cavity with Linearly Heated Side Wall(s). Numerical Heat Transfer, Part B: Fundamentals 52:6, pages 551-568.
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F. Moukalled & M. Darwish. (2007) Buoyancy-Induced Heat Transfer in a Trapezoidal Enclosure with Offset Baffles. Numerical Heat Transfer, Part A: Applications 52:4, pages 337-355.
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El Hassan Ridouane, Antonio Campo & Mohammed Hasnaoui. (2006) Benefits Derivable from Connecting the Bottom and Top Walls of Attic Enclosures with Insulated Vertical Side Walls. Numerical Heat Transfer, Part A: Applications 49:2, pages 175-193.
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F. Moukalled & M. Darwish. (2003) NATURAL CONVECTION IN A PARTITIONED TRAPEZOIDAL CAVITY HEATED FROM THE SIDE. Numerical Heat Transfer, Part A: Applications 43:5, pages 543-563.
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E. Papanicolaou, K. Voropoulos & V. Belessiotis. (2002) NATURAL CONVECTIVE HEAT TRANSFER IN AN ASYMMETRIC GREENHOUSE-TYPE SOLAR STILL--EFFECT OF ANGLE OF INCLINATION. Numerical Heat Transfer, Part A: Applications 42:8, pages 855-880.
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Gang Wang. (2002) An Efficient Equal-Order Finite-Element Method for Natural Convection in Complex Enclosures. Numerical Heat Transfer, Part B: Fundamentals 42:4, pages 307-324.
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S. Völker, T. Burton & S. P. Vanka. (1996) FINITE-VOLUME MULTIGRID CALCULATION OF NATURAL-CONVECTION FLOWS ON UNSTRUCTURED GRIDS. Numerical Heat Transfer, Part B: Fundamentals 30:1, pages 1-22.
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Tien-Mo Shih, M. M. Ohadi & Wei Liu. (1996) LITERATURE SURVEY ON NUMERICAL HEAT TRANSFER (1992–1993). Numerical Heat Transfer, Part A: Applications 29:5, pages 441-484.
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R. A. Kuyper & C. J. Hoogendoorn. (1995) LAMINAR NATURAL CONVECTION FLOW IN TRAPEZOIDAL ENCLOSURES. Numerical Heat Transfer, Part A: Applications 28:1, pages 55-67.
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H. Sadat & P. Salagnac. (1995) FURTHER RESULTS FOR LAMINAR NATURAL CONVECTION IN A TWO-DIMENSIONAL TRAPEZOIDAL ENCLOSURE. Numerical Heat Transfer, Part A: Applications 27:4, pages 451-459.
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S. Malkeson, S. Alshaaili & N. Chakraborty. (2023) Numerical investigation of steady state, laminar, natural convection of Bingham fluids in a trapezoidal enclosure heated from the bottom and cooled from the sides. International Journal of Thermofluids 20, pages 100512.
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Prodip Kumar Das, Shohel Mahmud, Syeda Humaira Tasnim & A.K.M. Sadrul Islam. (2003) Effect of surface waviness and aspect ratio on heat transfer inside a wavy enclosure. International Journal of Numerical Methods for Heat & Fluid Flow 13:8, pages 1097-1122.
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G.B. Kim & J.M. Hyun. (1999) Technical NoteBuoyant convection in a non-rectangular cavity with non-vertical insulating sidewalls. International Journal of Heat and Mass Transfer 42:11, pages 2111-2117.
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H Sadat & P Salagnac. (1997) Calcul des flux aux parois présentant des singularités. International Journal of Heat and Mass Transfer 40:18, pages 4255-4262.
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E.R.G. Eckert, R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, P.J. Strykowski, K.K. Tamma, T.H. Kuehn, A. Bar-Cohen, J.V.R. Heberlein, D.L. Hofeldt, K.A. Stelson & J.H. Davidson. (1996) Heat transfer—a review of 1993 literature. International Journal of Heat and Mass Transfer 39:5, pages 885-963.
Crossref
R. A. Kuyper & C. J. Hoogendoorn. (1995) The Shape of an Enclosure With Uniform-Flux, Isothermal, Nonhorizontal Walls. Journal of Heat Transfer 117:4, pages 936-941.
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Jorge Rojas & Francisco Avila. (1995) Numerical and experimental study of transient natural convection in an inclined wall cavity. International Communications in Heat and Mass Transfer 22:5, pages 693-704.
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Ronald D. Flack, Klaus Brun & Rita J. Schnipke. (1995) Measurement and prediction of natural convection velocities in triangular enclosures. International Journal of Heat and Fluid Flow 16:2, pages 106-113.
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