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{ "item_title" : "Numerical Simulation of Magneto-Rheological Fluids", "item_author" : [" Constantin Nichita "], "item_description" : "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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/63/917/390/3639173902_b.jpg", "price_data" : { "retail_price" : "52.92", "online_price" : "52.92", "our_price" : "52.92", "club_price" : "52.92", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Numerical Simulation of Magneto-Rheological Fluids|Constantin Nichita

Numerical Simulation of Magneto-Rheological Fluids

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Overview

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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Details

  • ISBN-13: 9783639173901
  • ISBN-10: 3639173902
  • Publisher: VDM Verlag
  • Publish Date: July 2009
  • Dimensions: 9 x 6 x 0.22 inches
  • Shipping Weight: 0.32 pounds
  • Page Count: 92

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