
05204244
j
2007d.00479
Knight, D. G.
Revisiting Newtonian and nonNewtonian fluid mechanics using computer algebra.
Int. J. Math. Educ. Sci. Technol. 37, No. 5, 573592 (2006).
2006
Taylor \& Francis, Abingdon, Oxfordshire
EN
M55
R25
R35
fluid mechanics
mathematical applications
computer algebra
coordinate systems
doi:10.1080/03091900600712215
Summary: This article illustrates how a computer algebra system, such as Maple, can assist in the study of theoretical fluid mechanics, for both Newtonian and nonNewtonian fluids. The continuity equation, the stress equations of motion, the NavierStokes equations, and various constitutive equations are treated, using a full, but straightforward, notation. Programs are presented that can produce these equations in various coordinate systems, as is the algebra system used to obtain solutions for specific examples in parallel and rotational flow.