Advanced Computational Methods in Heat Transfer IX by B. Sunden, C. A. Brebbia

By B. Sunden, C. A. Brebbia

Warmth move issues are in general of a really complicated nature. frequently varied mechanisms like warmth conduction, convection, thermal radiation, and non-linear phenomena, similar to temperature-dependent thermophysical homes, and section adjustments happen concurrently. New advancements in numerical answer tools of partial differential equations and entry to high-speed, effective and inexpensive pcs have resulted in dramatic advances in the course of contemporary years. This e-book comprises the edited types of the papers provided on the 9th overseas convention on complex Computational tools and Experimental Measurements in warmth move and Mass move. the target of this convention sequence is to supply a discussion board for presentation and dialogue of complicated issues, new ways and alertness of complicated computational tools and experimental measurements to warmth and mass move difficulties. the chosen sections convey the wide variety of utilized and basic difficulties within the warmth and mass move box. Papers surround a few subject matters akin to: average and compelled convection; Advances in computational equipment; warmth and mass move; Modelling and experiments; warmth exchangers and kit; strength platforms; Micro and nano scale warmth and mass move.

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Consequently, as long as the local Nusselt number is discussed in this range, n = 20 provides sufficiently accurate results. Note that all of the following results are obtained from the analytical solution with n = 20. Table 1: Comparison of local Nusselt numbers. 6 θ n=5,10,20 n=5 n=10 n=20 Rosales et al. 8 1 η Figure 3: Relationship between the number of partitions n and convergence of dimensionless temperature θ. 2 Effects of parameters on local Nusselt number distribution Figure 4 illustrates the effects of the viscous dissipation, heat transfer coefficients of the external surfaces and rheological character of the fluid on the local Nusselt number around the entrance of the conduit.

From the governing equations of mass, momentum conservations, the vorticity-stream function formulation may be obtained by defining the stream function and vorticity, as, respectively, ∂ψ ∂ψ ∂V ∂U − ω= (1) U= V =− ∂Y ∂X ∂X ∂Y Hence, the equations in dimensionless form can be written as follows. com, ISSN 1743-3533 (on-line) (2) Advanced Computational Methods in Heat Transfer IX 35 Vorticity-transport equation ∂θ ∂ω 1  ∂ 2 ω ∂ 2 ω  ∂ω ∂ω = + + Ri +V +U 2 2   ∂X ∂Y Re  ∂X ∂X ∂τ ∂Y  (3) Energy equation 1  ∂ 2θ ∂ 2θ ∂θ ∂θ ∂θ = + +V +U ∂Y Re Pr  ∂X 2 ∂Y 2 ∂X ∂τ     (4) where Re, Ri and Pr denote, respectively, Reynolds number, Richardson number and Prandlt number.

E. where air-conditioning is being used, see for example Collins et al. [1–3], Machin et al. [4], Shahid et al. [5]. These studies and those described by Duarte et al. [6] and Phillips et al. [7] have concentrated on Venetian blinds. , see Oosthuizen et al. [8–10]. , see Oosthuizen [11–13]. However these studies have not considered the effect of a gap between the wall and the top of the window-blind system. The present study, as is the case in many of the previous studies mentioned above, considers only the convective heat transfer.

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