Abstract
In this work we present some analytic and semi-analytic traveling wave solutions of a generalized Burger' equation for isothermal unidirectional flow of viscous non-Newtonian fluids obeying the Gee-Lyon nonlinear rheological equation. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flow as a special case. We also derive estimates of shock thickness for the non-Newtonian flows.
| Original language | English |
|---|---|
| Pages (from-to) | 129-135 |
| Number of pages | 7 |
| Journal | Applied Mathematics E - Notes |
| Volume | 12 |
| Publication status | Published - 2012 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Applied Mathematics
Cite this
Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows. / Wei, Dongming; Holladay, Ken.
In: Applied Mathematics E - Notes, Vol. 12, 2012, p. 129-135.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows
AU - Wei, Dongming
AU - Holladay, Ken
PY - 2012
Y1 - 2012
N2 - In this work we present some analytic and semi-analytic traveling wave solutions of a generalized Burger' equation for isothermal unidirectional flow of viscous non-Newtonian fluids obeying the Gee-Lyon nonlinear rheological equation. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flow as a special case. We also derive estimates of shock thickness for the non-Newtonian flows.
AB - In this work we present some analytic and semi-analytic traveling wave solutions of a generalized Burger' equation for isothermal unidirectional flow of viscous non-Newtonian fluids obeying the Gee-Lyon nonlinear rheological equation. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flow as a special case. We also derive estimates of shock thickness for the non-Newtonian flows.
UR - http://www.scopus.com/inward/record.url?scp=84868558599&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84868558599&partnerID=8YFLogxK
M3 - Article
VL - 12
SP - 129
EP - 135
JO - Applied Mathematics E - Notes
JF - Applied Mathematics E - Notes
SN - 1607-2510
ER -