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A theoretical analysis of the flow stability in roll forming of paper

Holm, Richard (author)
KTH,FaxénLaboratoriet,Mekanik
Söderberg, L. Daniel (author)
KTH,Mekanik
 (creator_code:org_t)
2005
2005
English.
In: Nordic Pulp & Paper Research Journal. - 0283-2631 .- 2000-0669. ; 20:2, s. 212-216
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • This paper deals with the fundamental mechanisms that control partial roll dewatering in papermaking. The flow around the forming cylinder is modelled in a cylindrical coordinate system and the wire is assumed to be impermeable. The governing equations are reduced based on a discussion where the magnitude of the different terms is estimated. Given this reduced set of equations a non-linear equation for the position of the wire is deduced. This clearly shows that one of the most important parameters is the Weber number, We, which is the non-dimensional number that can be obtained by comparing the effect of wire tension in relation to the momentum of the incoming headbox jet. The characteristics of the non-linear equation are discussed and the equation is linearized around the trivial solution to the equations, which gives that the wire is displaced a constant distance from the roll along the whole wrap. The linear equation has a standing wave solution with a specific wavelength that scales with We. This solution is compared to previously measured profiles regarding the wavelength of the waves.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering (hsv//eng)

Keyword

papermaking
forming
roll dewatering
mathematical modelling
gap formers
Engineering mechanics
Teknisk mekanik

Publication and Content Type

ref (subject category)
art (subject category)

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Holm, Richard
Söderberg, L. Da ...
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ENGINEERING AND TECHNOLOGY
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Royal Institute of Technology

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