Abstract
A numerical method for solving two dimensional elliptic boundary-value problems of fourth order is used for finding stationary solutions of the equations of motion for a laminar flow through a sudden pipe expansion of an incompressible non-Newtonian fluid with a constitutive equation of the Reiner-Rivlin (R-R) type. Results for the Newtonian fluid, which is a special case, are in excellent agreement with those by previous investigators and they demonstrate the reliability, superiority and accuracy of the method. Results for the non-Newtonian cases could be of value for fixing ideas about visco-elastic behaviour although the R-R fluid allows only inelasticity: this is particularly useful since the R-R model is mathematically the least complicated allowing the introduction of non-zero normal stress differences.
Recommended Citation
Masanja, V. (1990). Numerical investigation of a Non-Newtonian Material through a sudden pipe expansion. Tanzania Journal of Engineering and Technology (TJET), 14(1), 35-57. https://doi.org/https://doi.org/10.52339/tjet.v14i1.107
Publisher Name
University of Dar es Salaam
Included in
Applied Mechanics Commons, Engineering Mechanics Commons, Numerical Analysis and Computation Commons