Convective heat transfer enhancement in low Reynolds number flows with wavy walls

Castellões, Fernando V.; Quaresma, João Nazareno Nonato; Cotta, Renato M.

doi:10.1016/j.ijheatmasstransfer.2009.12.054

Cited by 40 publications

(32 citation statements)

References 17 publications

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“…The proposed model taking into account the coupling of the heat transfer section with the upstream region, ÀZ ad,1 < Z < 0, including the single-domain reformulation in the longitudinal direction and together with its associated solution methodology, are first critically compared with a simpler version of this problem, studied before by Castellõ es et al [11]. In that work the internal convection problem had been tackled by the traditional approach, separately handling the two longitudinal domains coupled by continuity conditions at the interface Z ¼ 0.…”

Section: Resultsmentioning

confidence: 99%

“…One way to solve the coupled equations given in problem (3) would be to perform the integral transformation by means of Eqs. (4) and (5), yielding a transformed partial differential equation (PDE) system on h h i ðZ; tÞ and h h ad;i ðZ; tÞ coupled at the interface Z ¼ 0 [11]. Instead, we here choose to reformulate problem (3) assuming that the transition from the upstream region to the heat exchange section, i.e., the transition from the insulated to the convective boundary condition at Y ¼ 1, occurs abruptly, similarly to what has been proposed in the transverse direction, thus making use of the single-domain formulation also in the longitudinal direction.…”

Section: Downloaded By [University Of Maryland] At 15:07 19 October 2014mentioning

confidence: 99%

“…A number of works are then still devoted to building and revisiting reliable models and solution methodologies capable of describing the physical phenomena that take place in such microscale problems. For instance, the consideration of slip flow in opposition to the classical no-slip condition for gas flow, the inclusion of terms related to viscous dissipation, wall conjugation, axial diffusion, and corrugated walls effects, which are often neglected in macroscale problems, illustrate some of the efforts to include effects that are not commonly accounted for in macroscale situations [5][6][7][8][9][10][11][12][13]. Nunes et al [13] presented some experimental and theoretical results showing the importance of considering heat conduction along metallic microchannel walls, leading to a conjugated problem that yields results in better agreement with the reported experimental data.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Heat Transfer in Microchannels with Upstream–Downstream Regions Coupling and Wall Conjugation Effects

Knupp

Cotta

Naveira-Cotta

2013

Numerical Heat Transfer, Part B: Fundamentals

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Heat transfer in microchannels is analyzed, including the coupling between the regions upstream and downstream of the heat transfer section and taking into account the wall conjugation and axial diffusion effects which are often of relevance in microchannels. The methodology is based on a recently proposed single-domain formulation for modeling the heat transfer phenomena simultaneously at the fluid stream and the channel walls, and applying the generalized integral transform technique (GITT) to find a hybrid numerical-analytical solution to the unified partial differential energy equation. The proposed mathematical model involves coefficients represented as space-dependent functions, with abrupt transitions at the fluid-wall interfaces, which carry the information concerning the transition of the two domains, unifying the model into a single-domain formulation with variable coefficients. Convergence of the proposed eigenfunction expansions is thoroughly investigated and the physical analysis is focused on the effects of the coupling between the downstream and the upstream flow regions.

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Section: Resultsmentioning

confidence: 99%

Section: Downloaded By [University Of Maryland] At 15:07 19 October 2014mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Heat Transfer in Microchannels with Upstream–Downstream Regions Coupling and Wall Conjugation Effects

Knupp

Cotta

Naveira-Cotta

2013

Numerical Heat Transfer, Part B: Fundamentals

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“…Castellões et al [3] reported convective heat transfer enhancement in low Reynolds number flows with wavy walls. They proposed a hybrid numerical-analytical solution methodology for energy equation.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer optimization of two phase modeling of nanofluid in a sinusoidal wavy channel using Artificial Bee Colony technique

Valinataj-Bahnemiri

Ramiar

Manavi

et al. 2015

Engineering Science and Technology, an International Journal

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a b s t r a c tThe present study represents the heat transfer optimization of two-dimensional incompressible laminar flow of Al 2 O 3 -water nanofluids in a duct with uniform temperature corrugated walls. A two phase model is applied to investigate different governing parameters, namely: Reynolds number (100 Re 1000), nonofluids volume fraction (0% f 5%) and amplitude of the wavy wall (0 a 0.04 m). For optimization process, a recent spot-lighted method, called Artificial Bee Colony (ABC) algorithm, is applied, and the results are shown to be in a good accuracy in comparison with another well-known heuristic method, i.e. particle swarm optimization (PSO). The results indicate that the effect of utilizing nanoparticles and increasing Reynolds number is more intensified on growing the average Nusselt number than variations of the amplitude of the wavy wall. To prevent the worst possible heat transfer, the specific amplitude which leads to a minimum average Nusselt number is detected. The effect of using nanoparticles on thermal-hydraulic performance factor (j/f) is presented which considers both heat transfer and hydrodynamics aspects. The results showed that volume fraction has a direct and the wavy wall's amplitude has a converse effect on the thermal-hydraulic performance factor. Furthermore, an optimum value for Reynolds number is found to maximize the thermal-hydraulic performance factor.

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“…Mikhailov and Cotta [22] proposed heat transfer solutions for slip-flow in parallel plate channels, [23] examined heat transfer in flows within wavy walls; apparently, there are no studies using this technique in electrokinetic-driven flows. Moreover, when looking into the available analytical-based solutions for the Graetz problem extended to electroosmotic-driven flows, it seems that cases with the thin EDL approximation are generally considered.…”

Section: Introductionmentioning

confidence: 99%

Integral transform solution for heat transfer in parallel-plates micro-channels: Combined electroosmotic and pressure driven flows with isothermal walls

Sphaier

2012

International Communications in Heat and Mass Transfer

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Convective heat transfer enhancement in low Reynolds number flows with wavy walls

Cited by 40 publications

References 17 publications

Heat Transfer in Microchannels with Upstream–Downstream Regions Coupling and Wall Conjugation Effects

Heat Transfer in Microchannels with Upstream–Downstream Regions Coupling and Wall Conjugation Effects

Heat transfer optimization of two phase modeling of nanofluid in a sinusoidal wavy channel using Artificial Bee Colony technique

Integral transform solution for heat transfer in parallel-plates micro-channels: Combined electroosmotic and pressure driven flows with isothermal walls

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