This article is concerned with general analytic solutions of flows in cylindrical and annular pipes subject to an arbitrary time-dependent pressure gradient and arbitrary steady initial flow. The fluids considered are Newtonian, Maxwellian and Oldroyd B. Graphical results for (blood) flow in a dog's femoral artery are presented.
- pipe flow
- annular flow
- analytic solutions
- time-dependent pressure gradient
McGinty, S., McKee, S., & McDermott, R. (2009). Analytic solutions of Newtonian and non-Newtonian pipe flows subject to a general time-dependent pressure gradient. Journal of Non-Newtonian Fluid Mechanics, 162(1-3), 54-77. https://doi.org/10.1016/j.jnnfm.2009.05.007