Transient Simple Shear Flow of Shvedov-Bingham Fluids

Transient Simple Shear Flow of Shvedov-Bingham Fluids 

The only nonzero velocity component Vx is directed along the X-axis coinciding with the boundary of the half-space. This component depends on t and Y and satisfies equation (6.10.1), where p is the fluid density and txy is the corresponding component of the stress tensor. 

In this case, the rheological equation for a Shvedov-Bingham fluid has the form 

The boundary conditions have the form n forf 0 with n t0 T2 for t 0 with ti to 

Exact solution. The exact self-similar solution of problem (6.10.1), (6.10.17)—(6.10.19) is given by the formulas 

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