PSEUDOPLASTICITY AND DILATANCY IN SHALLOW CHANNEL FLOWS

A novel formulation is presented applicable to flows of inelastic, she ar-thinning and shear-thickening fluids between parallel plates. The s olution is documented by comphrensive contour maps allowing flow: desc riptions to be reconstructed for the Ostwald-deWaele and the Cross/Car reaau fluid model fluids within an exhaustive range of rheological and flow parameters, 0 < n less than or equal to 2 and 0 less than or equ al to q less than or equal to 2. The description of pseudoplastic beha vior is extended to values approaching zero, numerical stability permi tting (0.01 less than or equal to n < I). The paper highlights the dil atant behavior; 1 less than or equal to n less than or equal to 2, rep orted previously to arise in certain heterogeneous systems, and shown to affect significantly other types of non-Newtonian flows. Ir is sugg ested that in thermally and compositionally developing flows, typical of reactive processing, where dilatancy may arise, the present formula tion can facilitate solutions to the coupled rheological and heat/mass transfer problems encountered The newly generated data on dilarant li quids suggest a dramatic increase in energy dissipation with the incre asing degree of dilatancy.