@article{nield_kuznetsov_xiong_2004, title={Effects of viscous dissipation and flow work on forced convection in a channel filled by a saturated porous medium}, volume={56}, ISSN={["0169-3913"]}, DOI={10.1023/B:TIPM.0000026087.77213.c8}, number={3}, journal={TRANSPORT IN POROUS MEDIA}, author={Nield, DA and Kuznetsov, AV and Xiong, M}, year={2004}, month={Sep}, pages={351–367} } @article{nield_kuznetsov_xiong_2004, title={Thermally developing forced convection in a porous medium: Parallel-plate channel or circular tube with isothermal walls}, volume={7}, ISSN={["1091-028X"]}, DOI={10.1615/JPorMedia.v7.i1.30}, abstractNote={The classical Graetz methodology is applied to investigate the thermal development of forced convection in a parallel-plate channel or a circular tube filled by a saturated porous medium, with walls held at constant temperature. The Brinkman model is employed. The analysis leads to expressions for the local Nusselt number and average Nusselt number, as functions of the dimensionless longitudinal coordinate and the Darcy number.}, number={1}, journal={JOURNAL OF POROUS MEDIA}, author={Nield, DA and Kuznetsov, AV and Xiong, M}, year={2004}, pages={19–27} } @article{kuznetsov_xiong_2003, title={Development of an engineering approach to computations of turbulent flows in composite porous/fluid domains}, volume={42}, ISSN={["1290-0729"]}, DOI={10.1016/S1290-0729(03)00063-2}, abstractNote={The purpose of this paper is to develop an engineering approach to computations of turbulent flows in composite domains partly occupied by a clear fluid and partly by a fluid saturated porous medium. Previous research concerning turbulent flows in porous media indicates that the effect of porous media is to dampen turbulence. Therefore, in porous/fluid domains the penetration depth of turbulent eddies into the porous region is expected to be small. The authors suggest assuming that the flow over the whole porous region remains laminar and matching turbulent flow solution in the clear fluid region with the laminar flow solution in the turbulent flow region. Although the flow in the porous region is assumed to be laminar, linear Darcy or Brinkman–Darcy models cannot be utilized to describe momentum transport in the porous region because of large filtration velocity. The momentum transport model in the porous layer utilized in this research is based on the Brinkman–Forchheimer-extended Darcy equation, which allows the accounting for deviation from linearity and also allows a smooth matching of the filtration velocity at the porous/fluid interface. Because of the large filtration velocity in the porous region, the energy equation in the porous region also accounts for the thermal dispersion effects.}, number={10}, journal={INTERNATIONAL JOURNAL OF THERMAL SCIENCES}, author={Kuznetsov, AV and Xiong, M}, year={2003}, month={Oct}, pages={913–919} } @article{kuznetsov_cheng_xiong_2003, title={Investigation of turbulence effects on forced convection in a composite porous/fluid duct: Constant wall flux and constant wall temperature cases}, volume={39}, ISSN={["1432-1181"]}, DOI={10.1007/S00231-002-0377-9}, number={7}, journal={HEAT AND MASS TRANSFER}, author={Kuznetsov, A and Cheng, L and Xiong, M}, year={2003}, month={Jul}, pages={613–623} } @article{kuznetsov_xiong_nield_2003, title={Thermally developing forced convection in a porous medium: Circular duct with walls at constant temperature, with longitudinal conduction and viscous dissipation effects}, volume={53}, ISSN={["0169-3913"]}, DOI={10.1023/A:1025060524816}, number={3}, journal={TRANSPORT IN POROUS MEDIA}, author={Kuznetsov, AV and Xiong, M and Nield, DA}, year={2003}, month={Dec}, pages={331–345} } @article{nield_kuznetsov_xiong_2003, title={Thermally developing forced convection in a porous medium: Parallel-plate channel or circular tube with walls at constant heat flux}, volume={6}, ISSN={["1091-028X"]}, DOI={10.1615/JPorMedia.v6.i3.50}, abstractNote={An adaptation of the classical Graetz methodology is applied to investigate the thermal development of forced convection in a parallel-plate channel or a circular tube filled by a saturated porous medium, with walls held at constant heat flux. The Brinkman model is employed. The analysis leads to expressions for the local Nusselt number and average Nusselt number, as functions of the dimensionless longitudinal coordinate and the Darcy number.}, number={3}, journal={JOURNAL OF POROUS MEDIA}, author={Nield, DA and Kuznetsov, AV and Xiong, M}, year={2003}, pages={203–212} } @article{nield_kuznetsov_xiong_2003, title={Thermally developing forced convection in a porous medium: parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects}, volume={46}, ISSN={["0017-9310"]}, DOI={10.1016/S0017-9310(02)00327-7}, abstractNote={A modified Graetz methodology is applied to investigate the thermal development of forced convection in a parallel plate channel filled by a saturated porous medium, with walls held at uniform temperature, and with the effects of axial conduction and viscous dissipation included. The Brinkman model is employed. The analysis leads to expressions for the local Nusselt number, as a function of the dimensionless longitudinal coordinate and other parameters (Darcy number, Péclet number, Brinkman number).}, number={4}, journal={INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER}, author={Nield, DA and Kuznetsov, AV and Xiong, M}, year={2003}, month={Feb}, pages={643–651} } @article{kuznetsov_xiong_2002, title={Dependence of microporosity formation on the direction of solidification}, volume={29}, ISSN={["0735-1933"]}, DOI={10.1016/S0735-1933(01)00321-9}, abstractNote={The aim of this paper is to suggest a new approach in the investigation of the effect of gravity on microporosity formation in solidification of binary alloys. Instead of traditional unidirectional solidification from the bottom, which involves solidification against the gravity, we suggest to carry out solidification from the top, which involves solidification along the gravity. Numerical modeling performed in this paper suggests an experimental study that compares the results of these two experiments, which potentially reveals some important data concerning the influence of gravity on microporosity formation and also could be used as a tool for validation of microporosity formation models.}, number={1}, journal={INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER}, author={Kuznetsov, AV and Xiong, M}, year={2002}, month={Jan}, pages={25–34} } @article{kuznetsov_xiong_2002, title={Effect of evaporation on thin film deposition in dip coating process}, volume={29}, ISSN={["0735-1933"]}, DOI={10.1016/S0735-1933(01)00322-0}, abstractNote={Evaporation from the free surface is an important phenomenon that occurs during dip coating process. Accounting for evaporation is crucial for correct prediction of film thickness during this process when evaporation rate is large. This paper suggests a method to extend the classical free meniscus theory to account for evaporation from the free surface in a two-component system. The governing equations are solved utilizing a finite difference method. The effects of evaporation on the free surface profile and solute concentration distribution are investigated.}, number={1}, journal={INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER}, author={Kuznetsov, AV and Xiong, M}, year={2002}, month={Jan}, pages={35–44} } @article{nield_kuznetsov_xiong_2002, title={Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium}, volume={45}, ISSN={["0017-9310"]}, DOI={10.1016/S0017-9310(02)00203-X}, abstractNote={The classical Graetz methodology is applied to investigate the effect of local thermal non-equilibrium on the thermal development of forced convection in a parallel-plate channel filled by a saturated porous medium, with walls held at constant temperature. The Brinkman model is employed. The analysis leads to an expression for the local Nusselt number, as a function of the dimensionless longitudinal coordinate, the Péclet number, the Darcy number, the solid–fluid heat exchange parameter, the solid/fluid thermal conductivity ratio, and the porosity.}, number={25}, journal={INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER}, author={Nield, DA and Kuznetsov, AV and Xiong, M}, year={2002}, month={Dec}, pages={4949–4955} } @article{kuznetsov_cheng_xiong_2002, title={Effects of thermal dispersion and turbulence in forced convection in a composite parallel-plate channel: Investigation of constant wall heat flux and constant wall temperature cases}, volume={42}, ISSN={["1040-7782"]}, DOI={10.1080/10407780290059602}, abstractNote={In this article, a composite parallel-plate channel whose central portion is occupied by a clear fluid and whose peripheral portion is occupied by a fluid saturated porous medium, is considered. The flow in the porous region of the channel is assumed to be laminar, governed by the Brinkman-Forchheimer-extended Darcy equation, while the flow in the clear fluid region of the channel is assumed to be turbulent. The validity of this laminar/turbulent assumption is validated by estimating Reynolds numbers in the clear fluid and porous regions of the channel. Although the flow in the porous region remains laminar, it is still fast enough for the quadratic drag (Forchheimer) effects to be important. In this situation, hydrodynamic mixing of the interstitial fluid at the pore scale becomes important and may cause significant thermal dispersion. It is shown that thermal dispersion may result in some counterintuitive effects, such as the increase of the Nusselt number when the width of the clear fluid region in the center of the channel is decreased.}, number={4}, journal={NUMERICAL HEAT TRANSFER PART A-APPLICATIONS}, author={Kuznetsov, AV and Cheng, L and Xiong, M}, year={2002}, month={Sep}, pages={365–383} } @article{xiong_kuznetsov_2001, title={An investigation of the microporosity formation in an Al-4.1% Cu alloy casting in microgravity and in standard gravity}, volume={38}, ISSN={["0947-7411"]}, DOI={10.1007/s002310000186}, number={1-2}, journal={HEAT AND MASS TRANSFER}, author={Xiong, M and Kuznetsov, AV}, year={2001}, month={Nov}, pages={35–43} } @article{xiong_kuznetsov_2001, title={Comparison between Lever and Scheil rules for modeling of microporosity formation during solidification}, volume={67}, ISSN={["1386-6184"]}, DOI={10.1023/A:1015291706970}, number={4}, journal={FLOW TURBULENCE AND COMBUSTION}, author={Xiong, M and Kuznetsov, AV}, year={2001}, pages={305–323} } @article{xiong_kuznetsov_2000, title={Forced convection in a Couette flow in a composite duct: An analysis of thermal dispersion and non-Darcian effects}, volume={3}, DOI={10.1615/jpormedia.v3.i3.60}, number={3}, journal={Journal of Porous Media}, author={Xiong, M. and Kuznetsov, A. V.}, year={2000}, pages={245–255} } @article{kuznetsov_xiong_2000, title={Numerical simulation of the effect of thermal dispersion on forced convection in a circular duct partly filled with a Brinkman-Forchheimer porous medium}, volume={10}, ISSN={["1758-6585"]}, DOI={10.1108/09615530010338169}, abstractNote={A numerical simulation of the fully developed forced convection in a circular duct partly filled with a fluid saturated porous medium is presented. The Brinkman‐Forchheimer‐extended Darcy equation is used to describe the fluid flow in the porous region. The energy equation for the porous region accounts for the effect of thermal dispersion. The dependence of the Nusselt number on a number of parameters, such as the Reynolds number, the Darcy number, the Forchheimer coefficient, as well as the thickness of the porous region is investigated. The numerical results obtained in this research are in agreement with published experimental data.}, number={5-6}, journal={INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW}, author={Kuznetsov, AV and Xiong, M}, year={2000}, pages={488–501} }