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.
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Constantin C. Nichita, Ph.D., studied Mathematics at University of Buffalo. He has a M.S. in Mechanical Engineering from University of Buffalo. Professional experience Postdoctoral Research in Geophysical Mass Flows at University of Buffalo and Postdoctoral Research in Artificial Intelligence at Petroleum-Gas University of Ploiesti.
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This work pertains to modern, interdisciplinaryresearch trends in nanomaterials. The author presentsa novel method with major potential for variousapplications such as ferromagnetic brakes and valves;nanosized shock absorbers, and in the medical field,heart valves and medical nanorobots. A mathematicalmodel is constructed with numerical solutionsproposed for the system of equations describing themodel. The underlying assumption is that aferromagnetic suspension can be regarded as acontinuous medium. Such an assumption was originallysuggested in Peskin s Immersed Boundary (IB) method.The IB method is coupled with Chorin s Projectionmethod to construct a finite differences scheme forsolving a boundary value case. The application andthe calculations are done to a first orderapproximation, hence fluid flow is treated as aStokes flow. The integration of the rheologicalbehavior is implicit, through the force densityfield. This method can easily extend to an entireclass of Newtonian and non-Newtonian ferromagneticreal fluids, whose shear viscosity depend upon themagnetic field, and upon the modulus of the strainrate tensor. Codice articolo 9783639173901
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