Temperatre balance of polymer flow through pipe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present the mathematical equations that govern heat transfer in a polymer melt flowing in a circular tube with constant ambient temperature, taking into account the viscous dissipation effects. This leads to a nonlinear parabolic partial differential equation. It is shown that the exact solution of a linearized version of the governing equation can be presented in terms of the Whittaker function. A finite difference scheme is used to produce an approximate solution of the linearized problem. The numerical solution is shown to be a good approximation to the exact solution found in terms of the Whittaker function. The finite difference scheme is then modified to approximate the nonlinear parabolic partial differential equation using nonlinear a iterative technique, and is compared to the results found using the finite element method.

Original languageEnglish
Title of host publicationSociety of Plastics Engineers - International Polyolefins Conference - FLEXPACKCON 2008
Pages791-796
Number of pages6
Volume2
Publication statusPublished - 2008
Externally publishedYes
EventInternational Polyolefins Conference - FLEXPACKCON 2008 - Houston, TX, United States
Duration: 24 Feb 200827 Feb 2008

Other

OtherInternational Polyolefins Conference - FLEXPACKCON 2008
CountryUnited States
CityHouston, TX
Period24/2/0827/2/08

Fingerprint

Partial differential equations
Polymers
Pipe
Polymer melts
Heat transfer
Finite element method
Temperature

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Chemistry(all)
  • Polymers and Plastics

Cite this

Elgindi, M. (2008). Temperatre balance of polymer flow through pipe. In Society of Plastics Engineers - International Polyolefins Conference - FLEXPACKCON 2008 (Vol. 2, pp. 791-796)

Temperatre balance of polymer flow through pipe. / Elgindi, Mohamed.

Society of Plastics Engineers - International Polyolefins Conference - FLEXPACKCON 2008. Vol. 2 2008. p. 791-796.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Elgindi, M 2008, Temperatre balance of polymer flow through pipe. in Society of Plastics Engineers - International Polyolefins Conference - FLEXPACKCON 2008. vol. 2, pp. 791-796, International Polyolefins Conference - FLEXPACKCON 2008, Houston, TX, United States, 24/2/08.
Elgindi M. Temperatre balance of polymer flow through pipe. In Society of Plastics Engineers - International Polyolefins Conference - FLEXPACKCON 2008. Vol. 2. 2008. p. 791-796
Elgindi, Mohamed. / Temperatre balance of polymer flow through pipe. Society of Plastics Engineers - International Polyolefins Conference - FLEXPACKCON 2008. Vol. 2 2008. pp. 791-796
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