Barber, Robert W.

Dongari, Nishanth

Emerson, David R.

Reese, Jason M.

Stefanov, Stefan K.

Zhang, Yonghao

English

Nishanth Dongari

Robert W. Barber

David R. Emerson

Stefan K. Stefanov

Yonghao Zhang

Jason M. Reese

Crossref

Microfluidics and Nanofluidics

Erratum to: The effect of Knudsen layers on rarefied cylindrical Couette gas flows

Erratum to the paper: The effect of Knudsen layers on rarefied cylindrical Couette gas flowsNishanth Dongari, Robert W. Barber, David R. Emerson, Stefan K. Stefanov, Yonghao Zhang, Jason M. ReeseMicrofluid Nanofluid (2013) 14:31–4

Edinburgh Research Explorer

     Edinburgh Research Explorer                                      Erratum to: The effect of Knudsen layers on rarefied cylindricalCouette gas flowsCitation for published version:Dongari, N, Barber, RW, Emerson, DR, Stefanov, SK, Zhang, Y & Reese, JM 2013, 'Erratum to: The effectof Knudsen layers on rarefied cylindrical Couette gas flows' Microfluidics and nanofluidics, vol 14, no. 5, pp.905-906., 10.1007/s10404-013-1164-2Digital Object Identifier (DOI):10.1007/s10404-013-1164-2Link:Link to publication record in Edinburgh Research ExplorerDocument Version:Author final version (often known as postprint)Published In:Microfluidics and nanofluidicsGeneral rightsCopyright for the publications made accessible via the Edinburgh Research Explorer is retained by the author(s)and / or other copyright owners and it is a condition of accessing these publications that users recognise andabide by the legal requirements associated with these rights.Take down policyThe University of Edinburgh has made every reasonable effort to ensure that Edinburgh Research Explorercontent complies with UK legislation. If you believe that the public display of this file breaches copyright pleasecontact openaccess@ed.ac.uk providing details, and we will remove access to the work immediately andinvestigate your claim.Download date: 20. Feb. 2015T"#"Gas Placed Inside Cylinder Figure 1: New Figure 1bChanges to manuscript number: MFNF 120302Correction 1) Change the text immediately after Equation (8) fromwhere p(r) describes the probability a molecule travels a distance r with experiencing acollision.to the following:where p(r) describes the probability a molecule will experience a collision while travel-ling a distance r.Correction 2) Replace the existing Fig. (1b) with the new Figure shown above.Correction 3) Modify Eq. (19) to the following:R22 = r2 + (R+)2 + 2rR+cos(θ+),Correction 4) After Eq. (20), in the 2nd line, change the text fromUsing quarter symmetry, it is suﬃcient to integrate θ+ from 0 to π/2.to the following:Using half symmetry, it is suﬃcient to integrate θ+ from 0 to π.Correction 5) Modify Eq. (21) to the following:1λeﬀ(conc) = λ[1− 1π∫ π0(1 +R+(r, θ+)a)(1−n)dθ+],Correction 6) Modify Eq. (22) to the following:β(i) =λeﬀ(conc)λ= 1− 1π∫ π0(1 +R+(r, θ+)a)(1−n)dθ+,Correction 7) Section 2.3, Line No. 10: change the term [1− (θ−u /π)(1 + r/R2)]to the following:[1− (θ−u /π)]Correction 8) Replace the existing Eq. (23):λeﬀ = λeﬀ(conv)(θ−uπ)+ λeﬀ(conc)[1−(θ−uπ)(1 +rR2)],with the following:λeﬀ = λeﬀ(conv)(θ−uπ)+ λeﬀ(conc)[1−(θ−uπ)],Correction 9) Replace the existing Eq. (24):β =(θ−uπ)[1− 1θ−u∫ θ−u0(1 +R−(r, θ−)a)(1−n)dθ−]+[1−(θ−uπ)(1 +rR2)][1− 1θ+u∫ θ+u0(1 +R+(r, θ+)a)(1−n)dθ+],with the following:β =(θ−uπ)[1− 1θ−u∫ θ−u0(1 +R−(r, θ−)a)(1−n)dθ−]+[1−(θ−uπ)][1− 1θ+u∫ θ+u0(1 +R+(r, θ+)a)(1−n)dθ+],Correction 10) In section 3.1, line 4 in the first paragraph, correct Fig. 1 to Fig. 5.2

Dongari N

Barber RW

Emerson DR

Stefanov SK

Zhang Y

Reese JM

ePubs: the open archive for STFC research publications

https://link.springer.com/content/pdf/10.1007%2Fs10404-013-1164-2.pdf

Erratum to: The effect of Knudsen layers on rarefied cylindrical Couette gas flows

Abstract

Similar works

Full text

Available Versions

Crossref

Edinburgh Research Explorer

ePubs: the open archive for STFC research publications