Some Flow Problems in Differential Type Fluids

ISBN-13: 9783639146660 / Angielski / Miękka / 2009 / 168 str.

Muhammad Sajid

Opis

Non-Newtonian flows arise in many processes inengineering, science and biology for example, inpolymer processing, coating, ink-jet printing,microfluidics, geological flows in the earth mantle,homodynamic and many others. Modeling non-Newtonianflows is important for understanding and predictingthe behaviour of processes and thus for designingoptimal flow configurations. Several models based onempirical observations have been suggested for thesefluids. A constitutive equation of the non-Newtonianfluids is in general have their order higher thanthose describing the motion of the Newtonian fluids,but apparently there is no corresponding increase inthe number of boundary conditions. Appliedmathematicians and computer scientists are thusforced with the so-called ill-posed boundary valueproblems which, in theory have a family of infinitelymany solutions. The task them becomes of selectingone of them under some plausible assumption. The mainobjective of this book is to consider the problems inone class of non-Newtonian fluids namely the fluidsof differential type and to develop analyticsolutions using the homotopy analysis method (HAM).

O autorze

Muhammad Sajid, Ph.D: Studied Fluid Mechanics at Quaid-i-Azam
University, Islamabad, Pakistan. Research work is mainly in Fluid
Mechanics (Newtonian and non-Newtonian fluids, Boundary layer
flows, Heat transfer analysis), General Relativity (Foliations of
spacetime) and Plasma Physics (Drift modes, Streaming
instabilities).