... transfer microchannel microtube rarefied flow Nusselt number viscous dissipation constant heat flux constant wall temperature Brinkman number Peclet number aerodynamics convection Knudsen flow microchannel flow slip flow viscosity 11 01 2011 17 08 2011 19 12 2011...

... transport equation ballistic diffusive equation BTE BDE phonon nonequilibrium heat conduction Boltzmann equation diffusion heat conduction Knudsen flow phonons 11 09 2010 01 04 2011 07 07 2011 07 07 2011 2011 American Society of Mechanical Engineers ...

... equation diffusion Knudsen flow mesoscopic systems nanoparticles nanowires phonons thermal conductivity Boltzmann transport equation constriction resistance ballistic-diffusive transition gas gap conductance slip flow and heat transfer Knudsen number temperature jump Thermal...

... heat conduction Knudsen flow Navier-Stokes equations numerical analysis Boltzmann equation rarefied gas microflow oscillatory heating The flow of a rarefied gas has been studied extensively for more than five decades, and the behaviors of various fundamental flows have been...

... ( 10 ). microchannel gas flow heat transfer slip regime turbomachinery blades flow instability flow simulation gas turbines heat transfer Knudsen flow laminar flow microchannel flow numerical analysis slip flow 29 09 2009 30 07 2010 02 11 2010 02 11...

.../S0017-9310(96)00256-6 31 01 2009 12 01 2010 22 04 2010 22 04 2010 forced convection heat transfer heating Knudsen flow laminar flow microchannel flow slip flow temperature distribution microchannel slip flow temperature jump viscous dissipation Knudsen...

...-flows Navier–Stokes equations mean-free-path nonlinear constitutive relationships velocity-slip Knudsen-layer boundary layers Couette flow Knudsen flow microfluidics Navier-Stokes equations Poiseuille flow slip flow stress-strain relations 02 10 2008 05 03 2009 18 02...

... ( 1 ), which describes the evolution of the particle distribution function in phase space, i.e., on the microscopic level. continuum models Poiseuille flow moment method kinetic gas theory Boltzmann equation continuum mechanics flow simulation heat transfer Knudsen flow...

... considered by the velocity slip and the temperature jump in the slip flow regime decreases it. 04 02 2008 22 04 2008 17 10 2008 convection hydrodynamics Knudsen flow microchannel flow slip flow microfluidics vertical microannulus mixed convection temperature jump velocity...

... 12 2007 07 08 2008 chemically reactive flow cooling heat transfer heat treatment heating ignition Knudsen flow metals transition regime heat transfer ignition delay energetic particle magnesium ignition Problems involving the heat transfer between spherical...

... circuit fabrication technologies. slip flow annular microchannels heat transfer heat transfer Knudsen flow laminar flow microchannel flow 30 03 2007 15 02 2008 08 07 2008 Actually, only when β and Knudsen number are very small (such as β < 0.3...

... ) expression is developed. For, the limiting case of Kn = 0 , the results are found to be in an excellent agreement with those in the existing literature. 29 05 2006 26 10 2006 convection microchannel flow Knudsen flow hydrodynamics microfluidics vertical microchannel mixed...

... coatings Knudsen flow vacuum deposition Monte Carlo methods heat radiation pipe flow flow simulation finite element analysis 2007 American Society of Mechanical Engineers ...

... (structures) microchannel flow slip flow temperature distribution Knudsen flow boundary layers hydrodynamics microfluidics vertical microchannel mixed convection temperature jump velocity slip The microfluidics have attracted an important research interest in recent years due...

... roughness Knudsen flow Mach number friction etching compressibility slip flow Channel Flow Experimental Heat Transfer Microscale Rarefied Roughness As one of the basic elements of micro electro mechanical systems (MEMS), microchannels have been utilized in micro-heat sinks, ink-jet...

... Transfer Division for publication in the JOURNAL OF HEAT TRANSFER . Manuscript received by the Heat Transfer Division July 12, 2002; revision received February 11, 2003. Associate Editor: P. S. Ayyaswamy. 12 July 2002 11 February 2003 23 09 2003 shear flow convection Knudsen...

... 05 2003 jets heat transfer compressible flow subsonic flow Knudsen flow Mach number slip flow Computational Forced Convection Heat Transfer Impingement Jets Laminar Microscale Rarefied 9 Local Nusselt number distribution illustrating the effect of slip...

... Editor: R. L. Mahajan. 12 August 1999 25 April 2001 16 07 2002 channel flow Knudsen flow heat transfer microfluidics flow simulation computational fluid dynamics Monte Carlo methods Heat transfer in developing flows in channels and tubes has been intensely studied...

... in the JOURNAL OF HEAT TRANSFER . Manuscript received by the Heat Transfer Division May 2, 2001; revision received October 1, 2001. Associate Editor: H. Bau. 02 May 2001 01 October 2001 microfluidics heat transfer Knudsen flow Couette flow Poiseuille flow channel flow Monte Carlo...

... flow Knudsen flow slip flow convection flow simulation Monte Carlo methods Heat Transfer Microscale Molecular Dynamics Monte Carlo Nanoscale For Kn>0.1, our DSMC results predict that for the same value of the Knudsen number, Nu T T o > T i...