RTM Model for Resin Flow Over Nonuniformly Heated Fibers

Scott A. Wymer, Renata S. Engel

Research output: Contribution to journalArticle

Abstract

This study examines the effect of heating the fibers of a unidirectional mat on the resin flow between fibers. The model used assumes steady incompressible flow in the direction of the fibers. The resulting Stoke's equation is solved analytically assuming linear variation of pressure, while the energy equation is solved numerically using finite differencing. An iterative scheme is used to update velocity in the direction of flow by using the temperature dependence of viscosity according to the Arrhenius equation. The fibers are heated conductively from their ends producing a temperature distribution down the length of the fibers. Velocity profiles between fibers, resulting from thermally-induced viscosity gradients, are compared for various steps along the fiber lengths. The resulting reductions in flow time are compared to those for fibers held at a constant temperature and to the flow times for the simple isothermal case of unheated fibers.

Original languageEnglish (US)
Pages (from-to)11-19
Number of pages9
JournalMaterials and Manufacturing Processes
Volume10
Issue number1
DOIs
StatePublished - Jan 1 1995

Fingerprint

Resin transfer molding
Resins
Fibers
Viscosity
Incompressible flow
Temperature distribution
Heating
Temperature

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

@article{18c6b52a6bed4761826ec46834622e0b,
title = "RTM Model for Resin Flow Over Nonuniformly Heated Fibers",
abstract = "This study examines the effect of heating the fibers of a unidirectional mat on the resin flow between fibers. The model used assumes steady incompressible flow in the direction of the fibers. The resulting Stoke's equation is solved analytically assuming linear variation of pressure, while the energy equation is solved numerically using finite differencing. An iterative scheme is used to update velocity in the direction of flow by using the temperature dependence of viscosity according to the Arrhenius equation. The fibers are heated conductively from their ends producing a temperature distribution down the length of the fibers. Velocity profiles between fibers, resulting from thermally-induced viscosity gradients, are compared for various steps along the fiber lengths. The resulting reductions in flow time are compared to those for fibers held at a constant temperature and to the flow times for the simple isothermal case of unheated fibers.",
author = "Wymer, {Scott A.} and Engel, {Renata S.}",
year = "1995",
month = "1",
day = "1",
doi = "10.1080/10426919508934994",
language = "English (US)",
volume = "10",
pages = "11--19",
journal = "Materials and Manufacturing Processes",
issn = "1042-6914",
publisher = "Taylor and Francis Ltd.",
number = "1",

}

RTM Model for Resin Flow Over Nonuniformly Heated Fibers. / Wymer, Scott A.; Engel, Renata S.

In: Materials and Manufacturing Processes, Vol. 10, No. 1, 01.01.1995, p. 11-19.

Research output: Contribution to journalArticle

TY - JOUR

T1 - RTM Model for Resin Flow Over Nonuniformly Heated Fibers

AU - Wymer, Scott A.

AU - Engel, Renata S.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - This study examines the effect of heating the fibers of a unidirectional mat on the resin flow between fibers. The model used assumes steady incompressible flow in the direction of the fibers. The resulting Stoke's equation is solved analytically assuming linear variation of pressure, while the energy equation is solved numerically using finite differencing. An iterative scheme is used to update velocity in the direction of flow by using the temperature dependence of viscosity according to the Arrhenius equation. The fibers are heated conductively from their ends producing a temperature distribution down the length of the fibers. Velocity profiles between fibers, resulting from thermally-induced viscosity gradients, are compared for various steps along the fiber lengths. The resulting reductions in flow time are compared to those for fibers held at a constant temperature and to the flow times for the simple isothermal case of unheated fibers.

AB - This study examines the effect of heating the fibers of a unidirectional mat on the resin flow between fibers. The model used assumes steady incompressible flow in the direction of the fibers. The resulting Stoke's equation is solved analytically assuming linear variation of pressure, while the energy equation is solved numerically using finite differencing. An iterative scheme is used to update velocity in the direction of flow by using the temperature dependence of viscosity according to the Arrhenius equation. The fibers are heated conductively from their ends producing a temperature distribution down the length of the fibers. Velocity profiles between fibers, resulting from thermally-induced viscosity gradients, are compared for various steps along the fiber lengths. The resulting reductions in flow time are compared to those for fibers held at a constant temperature and to the flow times for the simple isothermal case of unheated fibers.

UR - http://www.scopus.com/inward/record.url?scp=0029219813&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029219813&partnerID=8YFLogxK

U2 - 10.1080/10426919508934994

DO - 10.1080/10426919508934994

M3 - Article

AN - SCOPUS:0029219813

VL - 10

SP - 11

EP - 19

JO - Materials and Manufacturing Processes

JF - Materials and Manufacturing Processes

SN - 1042-6914

IS - 1

ER -