Abstract
The flow rate-pressure drop relationships for steady flow of non-Newtonian Sutterby-model fluid in non-circular ducts (rectangular and isosceles triangular ducts) has been derived using the variational method. The trial function of velocity profile is assumed to be similar to the velocity profile of a Newtonian fluid. The flow rate-pressure drop relationship was tested with experimental data on aqueous solutions of CMC and good agreement was obtained. Correlative equations for flow in circular and non-circular ducts are proposed. These equations will enable the flow rate and pressure drop of the flow in a non-circular duct to be calculated from the experimental flow data in a circular pipe.
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