Poiseuille and Nusselt numbers for laminar flow in microchannels with rounded corners

This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the Italian Union of Thermofluid dynamics, the Process Intensification Network, HEXAG - the Heat Exchange Action Group and the Institute of Mathematics and its Applications.This work investigates the frictional and heat transfer behaviour of laminar, fully-developed flow in microchannels with trapezoidal and rectangular cross-section and rounded corners under H1 boundary conditions. The equations of momentum and energy are solved numerically, and the results validated with analytical data, when available. The runs have been carried out for different aspect ratios and nondimensional radii of curvature Rc, with either all sides or three sides heated, one short side adiabatic for rectangular geometries and three sides heated, the longest one adiabatic for trapezoidal geometries. The Poiseuille and Nusselt numbers are reported and show, for the rectangular cross-section heated on all sides, a maximum increase for the highest value of the aspect ratio (β=1) with increments in the Poiseuille and Nusselt numbers of about 11% and 16% respectively for values of Rc * of 0.5, increasing as the geometry approaches the circular duct (12.5% and 21%). The increase is less pronounced as β decreases and also when only three sides are heated (maximum increase of Nu around 10%); in the case of the trapezoidal geometry the effects of rounding the corners are almost negligible (a maximum increase in Nu of around 2%)

Effect of flow choking on experimental average friction factor of gas microflows

Pressure drop experiments are performed for a rectangular channel having a hydraulic diameter of 295\u3bcm (w=360\u3bcm, h=250\u3bcm) up to Re 16000. A validated numerical model is used to gain insight of flow physics inside employed microchannel test assembly. Comparison of numerical and experimentally calculated flow properties considering two different data reduction methodologies show that adiabatic treatment of gas results in a better agreement of average friction factor values with conventional theory in turbulent regime. Minor loss coefficients available in literature are not valid for microflows as they change from one assembly to other. This necessitates an estimation of minor loss coefficients as a priori which can be established using a validated numerical model of the experimental test rig. However, such a treatment of minor loss coefficients adds an additional step of establishing a well posed numerical model before each experiment and hence is not convenient at all from experimentalist point of view. An adiabatic treatment of the gas along the length of the channel coupled with isentropic flow assumption from manifold to microchannel inlet results in a self-sustained experimental data reduction and therefore should be followed in consequent gas flow studies. Furthermore, assumption of perfect expansion and wrong estimation of average gas temperature between inlet and outlet results in an apparent increase of experimental friction factor in highly turbulent choked regime. Literature has been divided into two main approaches for establishing experimental average frictional characteristics in micro channels (MCs). When a total pressure drop and inlet temperature are available, a classical methodology is to invoke minor loss coefficients and subtract pressure losses associated to inlet/outlet manifold. Resulting pressure difference is then utilized along with measured temperature at manifold inlet to calculate average isothermal fanning friction factor. Such a treatment is quite realistic when an incompressible liquid working fluid is utilized but has been applied to compressible flows as well in the past [1]. In reality, a gas microflow does not stay isothermal and shows a strong temperature decrease close to outlet for adiabatic walls. For an adiabatic flow, temperature estimation at MC outlet can be done using a quadratic equation proposed by [2]. Data reduction methodology where minor losses are utilized along with the temperature estimation at outlet, is referred to as M1 in the subsequent text. An alternative methodology (M2), originally proposed by [2] is to estimate MC inlet flow properties by assuming isentropic flow between inlet manifold and MC inlet. This automatically caters for a reduction in MC inlet pressure and hence inlet coefficient is not required. Main aim of current study is to investigate underlying differences and their effects on experimental average friction factor between above stated methodologies in the presence of flow choking. An establishment of a unique methodology for future compressible gas experimentalists is also intended

The GASMEMS network: Rationale, programme and initial results

This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the Italian Union of Thermofluid dynamics, the Process Intensification Network, HEXAG - the Heat Exchange Action Group and the Institute of Mathematics and its Applications.GASMEMS is an Initial Training Network supported by the European Commission, which aims at training young researchers in the field of rarefied gas flows in MEMS, and at structuring research in Europe in the field of gas microflows in order to improve global fundamental knowledge and enable technological applications to an industrial and commercial level. The partners and the global objectives of this 4 year programme are detailed, and some initial results are presented. First experimental data about the flow of binary gas mixtures through rectangular microchannels are successfully compared with continuum and kinetic models, in the slip flow and early transition regimes. The behaviour of these mixtures has also been simulated in triangular microchannels, for the whole range of the Knudsen number, using a kinetic approach and the McCormack model. Heat transfer in plane microchannels has been numerically investigated, pointing out compressibility and rarefaction effects. The effect of thermal creep has been studied comparing BGK, Smodel and ellipsoidal model with the solution from the full Boltzmann equation. A semi-analytical model of the Knudsen layer has been developed and used to simulate the problem of thermal transpiration in a microchannel. Gaseous flows through rough microchannels have been simulated using kinetic theory and DSMC method, the wall roughness being simulated as a highly porous medium of variable thickness.This study is funded by the European Community's Seventh Framework Programme FP7/2007-2013 under grant agreement ITN GASMEMS n° 215504

Numerical characterization of silicon DC electro-osmotic pumps: the role of the micro channel geometry

This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, Aristotle University of Thessaloniki, University of Thessaly, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute.A numerical analysis of silicon DC open channel EOPs is presented to show which parameters should be taken into account in the design of these devices. Particular attention is paid to the influence of the channel cross-section geometry on pump behavior, especially in relation to the electrical properties of the fluid. Rectangular and trapezoidal, micro and nano channels chemically etched on silicon wafers are considered and a broad range of operative conditions are analyzed. In order to make all the results available, two user-friendly correlations that predict the characteristic curves of the pumps are given as functions of the relevant parameters. The EOP model used to obtain the results is explained extensively, as well as the method used to solve it. A brief discussion on the domain in which it applies is also presented

Experimental and Numerical Analysis of Single Phase Flow in a micro T-junction

This paper was presented at the 4th Micro and Nano Flows Conference (MNF2014), which was held at University College, London, UK. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute, ASME Press, LCN London Centre for Nanotechnology, UCL University College London, UCL Engineering, the International NanoScience Community, www.nanopaprika.eu.In this work the fluid-dynamic behaviour of a micro T-junction has been investigated both numerically and experimentally for low Reynolds numbers (Re<14) with water as working fluid. The velocity profiles within the T-junction has been experimentally determined by using the micro Particle Image Velocimetry (μPIV). The experimental data have been compared with the numerical results obtained by means of a 3D model implemented in Comsol Multiphysics® environment for incompressible, isothermal, laminar flows with constant properties. The comparison between the experimental and the numerical data puts in evidence a perfect agreement among the results. In the central region of the T-junction where the velocity profiles of the inlet branches interact, the maximum difference is less than 5.8% for different flow rates imposed at the inlet (with the ratio 1:2) and less than 4.4% in the case of the same flow rate at the inlets (1:1). Since the estimated uncertainty of the experimental velocity is about 3%, the obtained result can be considered very good and it demonstrates that no significant scaling effects influences the liquid mixing for low Reynolds numbers (Re<14) and the behaviour of the micro T-junction can be considered as conventional. The detailed analysis of the velocity profile evolution within the central region of the mixer has allowed to determine where the fully developed laminar profile is reached (for instance 260 mm far from the centre of the T-junction when a maximum water flow rate of 8 ml/h is considered)

The effect on the Nusselt number of the non-linear axial temperature distribution of gas flows through commercial microtubes

This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, Aristotle University of Thessaloniki, University of Thessaly, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute.The characteristics of nitrogen convective heat transfer through commercial stainless steel microtubes with inner diameter of 172 μm and 750 μm are investigated both experimentally and numerically. In this work is highlighted that the axial local gas bulk temperature distribution can present a strong nonlinearity along the flow direction especially for microtubes having a small inner diameter and a thick solid wall. It is also demonstrated that the trend of the experimental Nusselt numbers as a function of the Reynolds number can be considered in good agreement with the conventional correlations if the average bulk temperature is calculated by taking into account the axial non-linearity of the gas bulk temperature. This fact explains the low values of the Nusselt numbers obtained in the previous experimental works appeared in literature where the convective heat transfer for gas flows through microtubes has been investigated assuming the gas bulk temperature distribution between the inlet and the outlet of the microtube as linear without verifying this hypothesis.European Community's Seventh Framework Programme (ITN - FP7/2007-2013) under grant agreement no 215504

Experimental measurements of thermal-hydraulic performance of aluminum-foam water-to-air heat exchangers for a HVAC application

In this paper, thermal and hydraulic performance of in-house made prototypes of water-to-air heat exchangers are experimentally investigated and compared to those of a compact heat exchanger, used in a commercial fan coil. The prototypes are built replacing the fins with aluminum foam surfaces characterized by a large porosity, higher than 96%. In order to evaluate the performance of the foam-based heat exchangers in a real-scale application, the geometry of the prototypes was based on that of the reference model and, moreover, experimental tests were performed placing the heat exchangers within the commercial cabinet, under the same fan power. Different bonding techniques were also tested to couple metal foams to copper tubes. Results show that similar hydraulic performance can be obtained with the foam-based heat exchangers, if compared to the commercial device. However, the large foam porosity accounts for a lower value of the surface-to-volume ratio of the aluminum foam media, thus yielding a strong penalty, up to 60%, of the heat transfer rate with respect to that of the conventional finned surface. Moreover, experimental results highlight how the bonding technique and the foam packaging have a strong influence on the contact thermal resistance and, consequently, on the overall heat transfer coefficient. Epoxy bonding allows to increase the thermal performance of the heat exchanger, if compared to press fitting, between 15% and 110%. In conclusion, results presented in this paper suggest that metal foams can be considered as a potential alternative to fins in water-to-air heat exchangers only if the foam tube bonding is obtained by welding or brazing

Data reduction of average friction factor of gas flow through adiabatic micro-channels

This paper presents data reduction of average friction factor of gas flow through adiabatic microchannels. In the case of micro-channel gas flow at high speed, the large expansion occurs near the outlet and the pressure gradient along the length is not constant with a significant increase near the outlet. This results in flow acceleration and a decrease in gas temperature. Therefore the friction factor of microchannel gas flow should be obtained with measuring both the pressure and temperature. The data reductions on friction factors were carried out under the assumption of isothermal flow for numerous experimental and numerical studies since temperature measurement of micro-channel gas flow at high speed is quite difficult due to the measurement limitations. In the previous study, it was found that the gas temperature can be determined by the pressure under the assumption of one dimensional flow in an adiabatic channel (Fanno flow). Therefore in the present study data reduction to estimate friction factors between two relatively distant points considering the effect of a decrease in temperature is introduced with the temperature determined by the measured pressure at a specific location. The Friction factors obtained by using the present data reduction are examined with the available literature and the results are compared with empirical correlations on Moody chart

Data reduction of average friction factor of gaseous flow in micro-channels with adiabatic wall

This study focuses on data reduction of average friction factor of gaseous flow through microchannels. In the case of microchannel gas flow at high speed, the large expansion occurs near the outlet and the pressure gradient along the length is not constant and increases near the outlet. This results in flow acceleration and a decease in bulk temperature. Therefore both pressure and temperature are required to obtain the friction factor of the microchannel gas flow. In the past data reduction of many experiments, the friction factors have been obtained under the assumption of isothermal flow since temperature measurement of compressible flow in micro-channels is quite difficult due to the experimental technique limitations. Kawashima and Asako [1] found that the gas temperature can be determined by the pressure under the assumption of one dimensional flow in an adiabatic channel (Fanno flow) to obtain the friction factor considering the effect of a decrease in gas temperature