Abstract
The present work is devoted to study the numerical simulation for unsteady MHD flow and heat transfer of a couple stress fluid over a rotating disk. A similarity transformation is employed to reduce the time dependent system of nonlinear partial differential equations (PDEs) to ordinary differential equations (ODEs). The Runge-Kutta method and shooting technique are employed for finding the numerical solution of the governing system. The influences of governing parameters viz. unsteadiness parameter, couple stress and various physical parameters on velocity, temperature and pressure profiles are analyzed graphically and discussed in detail.
Highlights
The flow problems of non-Newtonian fluids are attracted the interest of many researchers because of its significance in modern technology and industries
Among various non-Newtonian fluid models, the couple stress fluid model has got the special status because of the spin field in the fluid which sets up an anti-symmetric stresses, known as couple stresses
Examples of couple stress fluids are liquid crystals, colloidal fluids, liquids containing longchain molecules such as polymer suspensions, blood, lubrications and additive electro-rheological fluids etc. These fluids are considered by many investigators because of the simplest model of couple stress fluid amongst others. (See recent attempts [2,3,4])
Summary
The flow problems of non-Newtonian fluids are attracted the interest of many researchers because of its significance in modern technology and industries. The basic theory and constitutive equations for couple stress fluid initially developed by Stokes [1], is one amongst the polar fluid theories which consider couple stresses in addition to the classical Cauchy stresses. This type of fluid encloses inflexible and randomoriented particles in a viscous medium. Examples of couple stress fluids are liquid crystals, colloidal fluids, liquids containing longchain molecules such as polymer suspensions, blood, lubrications and additive electro-rheological fluids etc. These fluids are considered by many investigators because of the simplest model of couple stress fluid amongst others. These fluids are considered by many investigators because of the simplest model of couple stress fluid amongst others. (See recent attempts [2,3,4])
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