Numerical Simulation of Magneto-Rheological Fluids (Paperback) (ISBN-13: 9783639173901)

This work pertains to modern, interdisciplinary research trends in nanomaterials. The author presents a novel method with major potential for various applications such as ferromagnetic brakes and valves; nanosized shock absorbers, and in the medical field, heart valves and medical nanorobots. A mathematical model is constructed with numerical solutions proposed for the system of equations describing the model. The underlying assumption is that a ferromagnetic suspension can be regarded as a continuous medium. Such an assumption was originally suggested in Peskin's Immersed Boundary (IB) method. The IB method is coupled with Chorin's Projection method to construct a finite differences scheme for solving a boundary value case. The application and the calculations are done to a first order approximation, hence fluid flow is treated as a Stokes flow. The integration of the rheological behavior is implicit, through the force density field. This method can easily extend to an entire class of Newtonian and non-Newtonian ferromagnetic real fluids, whose shear viscosity depend upon the magnetic field, and upon the modulus of the strain rate tensor.

Author: Constantin Nichita
ISBN-10: 3639173902
ISBN-13: 9783639173901
Publisher: VDM Verlag
Language: English
Published: 07/08/2009
Pages: 92
Format: Paperback
Weight: 0.32lbs
Size: 9.00h x 6.00w x 0.22d