Effects of Magnetic Field and Slip Condition on Peristaltic Flow of Non-Newtonian Fluid in Curved Channels

سال انتشار: 1392
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 93

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شناسه ملی سند علمی:

ISME21_193

تاریخ نمایه سازی: 17 آبان 1401

چکیده مقاله:

The peristaltic flow of a non-Newtonian fluid is numerically studied in a curved channel under the influence of a radially-imposed magnetic field. Assuming that the fluid of interest obeys third-order model as its constitutive equation, the long-wavelength assumption is used to simplify the equations of motion. It is shown that for this particular fluid model, the governing equations are reduced to a nonlinear ODE in the low-Reynolds number regime. Spectral-Galerkin and finite difference methods are used to solve thegoverning equations so obtained. As the boundary condition, use is made of the second-order velocity slip on the walls. Numerical results show that the externallyimposed magnetic field reduces the maximum axial velocity at each cross-section of the channel and causes the velocity profile to move towards the center of the curved channel. In the pumping region, the presence of radial magnetic field increases the streamwise pressure rise for constant low flow rates; while it has a reverse effect in the co-pumping region. An increase in slip parameter makes the velocity deviate from no-slip boundary condition at walls, causing pressure rise and wall shear stress to diminish in the pumping region.

نویسندگان

A Kalantari

M.Sc. Graduate, Mech. Eng. Dep., University of Tehran

A Riasi

Assistant Professor, Mech. Eng. Dep., University of Tehran

K Sadeghy

Professor, Mech. Eng. Dep., University of Tehran