Journal ArticleDOI
A finite difference analysis of developing slip flow
TLDR
In this paper, a finite difference analysis for slip flow in the entrance region of the parallel plate channel and the plain tube is presented, and results are given for Knudsen numbers equal to 0, 0.01,0.03,0,05, and 0.1.Abstract:
A finite difference analysis is presented for slip flow in the entrance region of the parallel plate channel and the plain tube. Results are given for Knudsen numbers equal to 0, 0.01, 0.03, 0.05, and 0.1. The present results for the pressure distribution in the entrance region do not favour any particular one of the linear solutions to the problem which have been given previously. There is, however, very good agreement between the finite difference prediction of the developing velocity profiles and that of a certain linear solution.read more
Citations
More filters
Journal ArticleDOI
Slip Flow in the Hydrodynamic Entrance Region of Circular and Noncircular Microchannels
Zhipeng Duan,Yuri S. Muzychka +1 more
TL;DR: In this paper, a model is proposed to predict the friction factor and Reynolds product f Re for developing slip flow and continuum flow in most noncircular microchannels, which has an approximate accuracy of 10% for most common duct shapes.
Journal ArticleDOI
The Influence Of Knudsen Number On The Hydrodynamic Development Length Within Parallel Plate Micro-channels
Journal ArticleDOI
Analytical Modeling of Fluid Flow and Heat Transfer in Microchannel/Nanochannel Heat Sinks
Waqar Khan,M. Michael Yovanovich +1 more
TL;DR: In this paper, closed-form solutions for fluid friction and Nusselt numbers are obtained by solving the continuum momentum and energy equations with the first-order velocity slip and temperature jump boundary conditions at the channel walls.
A numerical investigation of low reynolds number gaseous slip flow at the entrance of circular and parallel plate micro-channels
TL;DR: In this paper, the role of the Reynolds number and Knudsen number on the hydrodynamic development length at the entrance to circular and parallel plate micro-channels was investigated.
A numerical study of low Reynolds number slip flow in the hydrodynamic development region of circular and parallel plate ducts
RW Barber,Emerson +1 more
TL;DR: In this paper, the effects of the Reynolds number and the Knudsen number on the hydrodynamic development lengths in circular and parallel plate ducts were examined using a two-dimensional finite-volume Navier-Stokes solver.
References
More filters
Journal ArticleDOI
Finite difference analysis of plane Poiseuille and Couette flow developments
J. R. Bodoia,J. F. Osterle +1 more
TL;DR: In this article, the problem of flow development from an initially flat velocity profile in the plane Poiseuille and Couette flow geometry is investigated for a viscous fluid and the basic governing momentum and continuity equations are expressed in finite difference form and solved numerically on a high speed digital computer for a mesh network superimposed on the flow field.
Journal ArticleDOI
Laminar flow in the entrance region of a pipe
TL;DR: In this article, the laminar flow of an incompressible fluid in the inlet of a pipe is analyzed numerically, and the numerical technique allows a closer approximation to the basic equations of fluid motion than has been possible in previous investigations.
Journal ArticleDOI
Laminar flow in the inlet section of parallel plates
Y. L. Wang,P. A. Longwell +1 more
TL;DR: In this article, a definite concavity was found in the velocity profile near the entrance for case I. In case II, which is more realistic physically, very definite effects are transmitted upstream, and the velocity distributions downstream show little concaveity.