Stability of Flow of a Non-Newtonian Liquid Between Two Rotating Cylinders in the Presence of a Circular Magnetic Field

Stability of Flow of a Non-Newtonian Liquid Between Two Rotating Cylinders in the Presence of a Circular Magnetic Field

Author: M. N. L. Narasimhan

Publisher:

Published: 1963

Total Pages: 30

ISBN-13:

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The stability of flow of certain non-Newtonian fluids between two rotating coaxial cylinders in the presence of a circular magnetic field is examined. The fluid in question is assumed to be an incmpressible Reiner-Rivlin fluid. The equations of motion for these non-Newtonian fluids governing marginal stability are derived, and boundary conditions for perfectly conducting cylinders (Fermi boundary conditions) are formulated for the cases of corotating and counterrotating cylinders, when the gap between the cylinders is small. The underlying characteristic value problem is solved by using an expansion in orthogonal functions method developed by Chandrasekhar to determine the critical Taylor numbers for marginal stability as stability criteria. Numerical calculations have been performed. It is found that the effect of crossviscosaty is to facilitate the onset of instability; whereas the effect of viscosity under similar conditions would be a stabilizing one. Thus the effect of cross-viscosity is found to be opposite that of viscosity in the stability analysis of the present case. (Author).


Stability of Viscous Flow in Rotating Cylinders with Magnetic Field

Stability of Viscous Flow in Rotating Cylinders with Magnetic Field

Author: Jitender Singh

Publisher: LAP Lambert Academic Publishing

Published: 2010-07

Total Pages: 116

ISBN-13: 9783838384696

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In this thesis, we have discussed numerically, the stability of an incompressible flow of a ferrofluid in an annular space between two coaxial rotating cylinders of infinite aspect ratio, in the presence of an axial magnetic field. The system is described by modified Navier-Stokes equation, equation of continuity, Maxwell-equations, and Shliomis s equation of ferrofluid magnetization. The mathematical model of the physical system, leads to a two-point boundary value problem that has been solved with help of numerical methods. The onset of axisymmetric and non-axisymmetric Taylor vortices, has been discussed. Effect of superposition of radial flow has also been discussed. Also considered is the parametric instability arising as a result of applying periodically oscillating magnetic field to the system.


Notable Modern Indian Mathematicians and Statisticians

Notable Modern Indian Mathematicians and Statisticians

Author: Purabi Mukherji

Publisher: Springer Nature

Published: 2022-10-11

Total Pages: 235

ISBN-13: 9811961328

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This book provides a comprehensive portrayal of the history of Indian mathematicians and statisticians and uncovers many missing parts of the scientific representation of mathematical and statistical research during the 19th and 20th centuries of Bengal (now West Bengal), India. This book gives a brief historical account about the establishment of the first-two departments in an Indian university, where graduate teaching and research were initiated. This was a unique distinction for the University of Calcutta which was established in 1857. The creation of the world famous Indian Statistical Institute (ISI) in Calcutta (now Kolkata) is also briefly described. The lives and works of the 16 pioneer mathematical scientists who adorned the above mentioned institutions and the first Indian Institute Technology (IIT) of India have been elaborated in lucid language. Some outstanding scholars who were trained at the ISI but left India permanently have also been discussed briefly in a separate chapter. This book fulfils a long-standing gap in the history of modern Indian mathematics, which will make the book very useful to researchers in the history of science and mathematics. Written in very lucid English with little mathematical or statistical jargon makes the book immensely readable even to general readers with interest in scientific history even from non-mathematical, non-statistical background. This book is a clear portrayal of the struggle and success of researchers in mathematical sciences in Bengal (an important part of the colonial India), unveils before the international community of mathematical scientists. The real connoisseurs will appreciate the value of the book, as it will clear up many prevailing misconceptions.


The Non-Linear Field Theories of Mechanics

The Non-Linear Field Theories of Mechanics

Author: C. Truesdell

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 600

ISBN-13: 3662131838

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This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and standardization of the concepts, terms and notations in the field.