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2 International Journal of Applied Mechanics and Engineering

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A new analytical procedure for solving the non-linear differential equation arising in the stretching sheet problem

Siddheshwar P. G., Mahabaleswar U. S., Andersson H. I.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 3

955--964

The paper discusses a new analytical procedure for solving the non-linear boundary layer equation arising in a linear stretching sheet problem involving a Newtonian/non-Newtonian liquid. On using a technique akin to perturbation the problem gives rise to a system of non-linear governing differential equations that are solved exactly. An analytical expression is obtained for the stream function and velocity as a function of the stretching parameters. The Clairaut equation is obtained on consideration of consistency and its solution is shown to be that of the stretching sheet boundary layer equation. The present study throws light on the analytical solution of a class of boundary layer equations arising in the stretching sheet problem.

Three-dimensional simulation of time-dependent flow behind bluff bodies

Valles B, Andersson H. I., Jenssen C. B.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 1

311-328

Computer simulations of the laminar flow past three-dimensional bluff bodies are presented. The focus is on the time-dependent wake flow behind linearly tapered circular cylinders and downstream of a circular cylinder with an abrupt change in diameter. In both cases the intricate vortex shedding phenomena observed in earlier laboratory experiments are convincingly reproduced by the computer experiments. The simulations moreover provide important supplementary information not readily accessible in the laboratory.