# zbMATH — the first resource for mathematics

##### Examples
 Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quotation marks". au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted. Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff. "Quasi* map*" py: 1989 The resulting documents have publication year 1989. so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14. "Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic. dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles. py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses). la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 any anywhere an internal document identifier au author, editor ai internal author identifier ti title la language so source ab review, abstract py publication year rv reviewer cc MSC code ut uncontrolled term dt document type (j: journal article; b: book; a: book article)
Turbulent natural convection between inclined isothermal plates. (English) Zbl 1134.76358
Summary: Steady two-dimensional turbulent natural convection between inclined isothermal plates has been investigated numerically. Validations for the present computational procedure were carried out utilizing experimental and numerical data published in the literature. The comparisons with published data indicate very good agreement. The present calculations were conducted for a single aspect ratio, $L/b = 24$, over the range of modified Rayleigh number $\text{Ra}^{\prime}$ of $10^{4} \leq \text{Ra}^{\prime}\leq 10^{6}$ and angle of inclination $0^\circ \leq \theta \leq 90^{\circ}$ . The results indicate that the channel overall average Nusselt number is reduced, the rate of reduction increases as the inclination angle is increased and that the overall average Nusselt number at different inclination angles can be presented by a single correlation if plotted versus the product of the modified Rayleigh number and $(Cos \theta )^{0.5}$. For the case of horizontal channel $(\theta = 90^\circ )$, the results indicate that the local Nusselt number along the lower wall is much higher than that along the upper wall.

##### MSC:
 76F35 Convective turbulence 76M12 Finite volume methods (fluid mechanics)
Full Text:
##### References:
 [1] Nobuhide, K.; Mitsugu, N.: Direct numerical simulation of combined forced and natural turbulent convection in a vertical plane channel. Int. J. Heat fluid flow 18, 88-99 (1997) [2] Fedorov, A. G.; Viskanta, R.: Turbulent heat transfer in an asymmetrically heated vertical parallel plate channel. Int. J. Heat mass transfer 40, No. 16, 3849-3860 (1997) · Zbl 0925.76661 [3] Miyamoto M, Katoh Y, Kurima J, Sasaki H. Turbulent free convection heat transfer from vertical parallel plates. Heat transfer. In: Proceedings of the International Heat Transfer, Conference 8th 1986, vol. 4. p. 1593-8. [4] Fedorov, A. G.; Viskanta, R.; Mohamad, A. A.: Turbulent heat and mass transfer in an asymmetrically heated, vertical parallel plate channel. Int. J. Heat fluid flow 18, 307-315 (1997) · Zbl 0925.76661 [5] Versteegh, T. A. M.; Nieuwstadt, F. T. M.: A direct numerical simulation of natural convection between two infinite vertical differentially heated walls scaling laws and wall functions. Int. J. Heat mass transfer 42, 3673-3679 (1999) · Zbl 0944.76591 [6] Versteegh, T. A. M.; Nieuwstadt, F. T. M.: Turbulent budgets of natural convection in an infinite, differentially heated, vertical channel. Int. J. Fluid flow 19, 135-140 (1998) [7] Bessaih, R.; Kadja, M.: Turbulent natural convection cooling of electronic components mounted on a vertical channel. Appl. therm. Engng. 20, No. 2, 141-154 (2000) [8] Bessaih, R.; Kadja, M.: Numerical study of three-dimensional turbulent natural convection air cooling of heat sources simulating electronic components mounted in a vertical channel. J. enhanc. Heat transfer 7, No. 2, 153-166 (2000) [9] Azevedo, L. F. A.; Sparrow, E. M.: Natural convection in open ended inclined channels. J. heat transfer, trans. ASME 107, No. 4, 893-901 (1985) [10] Hajjai, A.; Warek, W. M.: Analysis of combined fully-developed natural convection heat and mass transfer between two inclined parallel plates. Int. J. Heat mass transfer 31, No. 9, 1933-1940 (1988) [11] Straatman, A. G.; Naylor, D.; Floryan, J. M.; Tarasuk, J. D.: A study of natural convection between inclined isothermal plates. J. heat transfer 116, 145-243 (1994) [12] Onur, N.; Aktas, N. K.: An experimental study on the effect of opposing wall on natural convection along an inclined hot plate facing downward. Int. commun. Heat mass transfer 25, No. 3, 389-397 (1998) [13] Baskaya, S.; Aktas, M. K.; Onur, N.: Numerical simulation of the effect of plate separation and inclination on heat transfer in buoyancy driven open channels. Heat mass transfer 35, No. 44, 273-280 (1999) [14] Bianco, N.; Morrone, B.; Nardini, S.; Naso, V.: Air natural convection between inclined parallel plates with uniform heat flux at the walls. Heat technol. 18, No. 2, 23-45 (2000) · Zbl 0988.76500 [15] Jaluria, Y.: Natural convection heat and mass transfer. (1980) [16] Launder, B. E.; Spalding, D. B.: Lectures in mathematical models of turbulence. (1972) · Zbl 0288.76027 [17] Yang, Z.; Shih, T. H.: New time scale based k-${\epsilon}$ model for near-wall turbulence. Am. inst. Aeronaut. astronaut. J. 31, No. 7, 1191-1198 (1993) · Zbl 0800.76162 [18] S. Anwar, Natural convection flow in parallel plate vertical channels. M.S. Thesis, King Fahd University of Petroleum and Minerals, KSA, 2003. [19] Patankar, S. V.: Numerical heat transfer and fluid flow. (1980) · Zbl 0521.76003 [20] Versteeg, H. K.; Malalasekera, W.: An introduction to computational fluid dynamics. The finite volume method. (1995)