I have a non-newtonian fluid flowing radially-outwards on a horizontal flat plate. The flow is assumed to be laminar. How can I calculate frictional losses between solid-liquid interface?
Can you see: A Generic Model for the Calculation of Frictional
Losses in Pipe and Annular Flows
С.Т. JOHANSEN
SINTEF Materials Technology
P. SKALLE
Norwegian University of Science and Technology
J. SVEEN
SINTEF Technology Management
http://www.ipt.ntnu.no/~pskalle/files/TechnicalPapers/25_generic.pdf
If I understand your question correctly, you are interested in the spread of a liquid jet over a horizontal plate. If so, this problem was first analyzed in detail for a Newtonian fluid in a classic paper by Watson: see Watson, E. 1964 "The spread of a liquid jet over a horizontal plane." J. Fluid Mech. 20, 481 – 499. A more recent paper addresses non-newtonian effects: Zhoa and Khayat, 2008 "The spread of a Non-Newtonian liquid jet over a horizontal plane. J. Fluid Mech. 613, 411– 433. In the Watson paper expression for the shear stress on the stationary plate is given. Note however, the flow geometry results in a hydraullic jump at some critical radius. In the Zhoa and Khayat paper, the shear stress at the stationary plate is also derived for power law fluids (shear thinning and shear thickening). One of the conclusions those authors draw is that non-Newtionian effects do not influence appreciably the location of the hydraulic jump. Hope this helps.
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