Heat Transfer Characteristics of Gaseous Flow in Long Mini- And Microtubes

Chen, C. S.; Kuo, Wei-Ti

doi:10.1080/10407780490463773

Cited by 23 publications

(17 citation statements)

References 9 publications

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“…The equations are also relevant to high Reynolds number flows in microchannels; see for example Fletcher (1991), Chen and Kuo (2004). In the context of vortex-wave interactions the equations were shown by Hall and Smith (1991) to govern the interaction of Tollmien-Schlichting waves and streaks.…”

Section: Introductionmentioning

confidence: 99%

The emergence of localized vortex–wave interaction states in plane Couette flow

2013

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The recently understood relationship between high Reynolds number vortex-wave interaction theory and computationally-generated self-sustaining processes provides a possible route to an understanding of some of the underlying structures of fully turbulent flows. Here vortex-wave interaction theory, which we now refer to as VWI, is used in the long streamwise wavelength limit to continue the development found at order one wavelengths by Hall and Sherwin (2010). The asymptotic description given reduces the Navier-Stokes equations to the so-called boundary-region equations for which we find equilibrium states describing the change in the VWI as the wavelength of the wave increases from O(h) to O(Rh) where R is the Reynolds number and 2h is the depth of the channel. The reduced equations do not include the streamwise pressure gradient of the perturbation or the effect of streamwise diffusion of the wave-vortex states. The solutions we calculate have an asymptotic error proportional to R −2 when compared to the full Navier-Stokes equations. The results found correspond to the minimum drag configuration for VWI states and might therefore be of relevance to the control of turbulent flows. The key feature of the new states discussed here is the thickening of the critical layer structure associated with the wave part of the flow to completely fill the channel so that the roll part of the flow is driven throughout the flow rather than as in Hall and Sherwin (2010) as a stress discontinuity across the critical layer. We identify a critical streamwise wavenumber scaling which when approached causes the flow to localise and take on similarities with computationally-generated or experimentally-observed turbulent spots. In effect the identification of this critical wavenumber for a given value of the assumed high Reynolds number fixes a minimum box length necessary for the emergence of localized structures. Whereas nonlinear equilibrium states of the Navier-Stokes equations are thought to form a backbone on which turbulent flows hang, our results suggest that the localized states found here might play a related role for turbulent spots.

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Section: Introductionmentioning

confidence: 99%

The emergence of localized vortex–wave interaction states in plane Couette flow

2013

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“…Although it is expected that these solutions for Po and Nu, given by Eqs. (13) and (15) respectively, are more accurate than first-order models and models that do not include creep and viscous dissipation effects they are still only applicable to situations of approximately the same conditions for which the solutions were derived, that is two-dimensional, isoflux, nearly incompressible, constant property flows within the slip flow regime.…”

Section: Analytic Solutionmentioning

confidence: 98%

“…The average difference between the analytic Po, Eq. (13), and the numerical Po is 0.06%, and the maximum difference is 0.70%. The average difference between the analytic Nu, Eq.…”

Section: Fully Developed Po and Numentioning

confidence: 99%

“…The majority of these studies have been analytical [1][2][3][4][5][6][7][8], although there are also several numerical studies based on either direct simulation Monte Carlo, DSMC [9][10][11], or on continuum methods with slip boundary conditions [12,13]. Nearly all of these studies have used the following simplifying assumptions: laminar, steady state, hydrodynamically fully developed, constant properties, no creep flow, and first-order accurate slip velocity and temperature jump boundary conditions with perfectly accommodating walls.…”

Section: Introductionmentioning

confidence: 99%

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The effect of creep flow on two-dimensional isoflux microchannels

Rij

Harman

Ameel

2007

International Journal of Thermal Sciences

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“…The effects of channel aspect ratio, Reynolds number, and number of channels on the thermal performance of the device was investigated. Chen and Kuo [6] conducted numerical simulations on heat transfer characteristics of gaseous flow in mini-and microtubes. They reported that as the tube diameter gets small and the Reynolds number gets large, the heat characteristics become quite different from those given by the conventional correlations.…”

Section: Introductionmentioning

confidence: 99%

Reduced Navier-Stokes Simulation of Incompressible Microchannel Flows

Chen

2007

Numerical Heat Transfer, Part A: Applications

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The objective of this research is to investigate numerically the effects of temperature dependent viscosity and thermal conductivity on friction characteristics of incompressible flow in long microchannels involving large temperature variations. The physical properties of water change significantly with temperature. These property changes result in highly nonlinear temperature, pressure, Reynolds number, and f Á Re distributions along the microchannel axis. These temperature effects must be taken into account to accurately predict the friction characteristics of incompressible microchannel flows. The major advantage of the present numerical procedure is its fast speed due to the parabolic character of the governing equations and the finite-difference method used. It is at least two to three orders of magnitude faster than the full Navier-Stokes simulation.

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Heat Transfer Characteristics of Gaseous Flow in Long Mini- And Microtubes

Cited by 23 publications

References 9 publications

The emergence of localized vortex–wave interaction states in plane Couette flow

The emergence of localized vortex–wave interaction states in plane Couette flow

The effect of creep flow on two-dimensional isoflux microchannels

Reduced Navier-Stokes Simulation of Incompressible Microchannel Flows

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