Abstract
Slip flow of a second-grade fluid past a lubricated rotating disc is studied. The disc is lubricated with a power-law fluid. The interfacial conditions between fluid and lubricant are imposed on the surface of disc by assuming a thin lubrication layer. The numerical solutions are obtained using Keller-Box method. The effects of slip parameter and Weissenberg number on the three components of fluid velocity and pressure are analyzed graphically while effects on both components of skin friction are demonstrated through tables. The computed results show that spin-up by a second grade bulk fluid near the rotating disc is reduced by increasing slip at the interface. The obtained solutions agree well in the special case with those of other researches. Key words: Non-Newtonian power-law fluid, second grade fluid, rotating disc, slip boundary condition.
Highlights
Technical applications of the flow over a rotating surface occur in many engineering and industrial fields
The computed results show that spin-up by a second grade bulk fluid near the rotating disc is reduced by increasing slip at the interface
The stagnation point flow of Newtonian fluid over a rotating disc was initially discussed by Von Karman (1921), who transformed the set of partial differential equations into ordinary differential equations by introducing an elegant similarity transformation and solved the resulting equations by momentum integral method
Summary
Slip flow of a second-grade fluid past a lubricated rotating disc is studied. The disc is lubricated with a power-law fluid. The interfacial conditions between fluid and lubricant are imposed on the surface of disc by assuming a thin lubrication layer. The numerical solutions are obtained using Keller-Box method. The effects of slip parameter and Weissenberg number on the three components of fluid velocity and pressure are analyzed graphically while effects on both components of skin friction are demonstrated through tables. The computed results show that spin-up by a second grade bulk fluid near the rotating disc is reduced by increasing slip at the interface. The obtained solutions agree well in the special case with those of other researches
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