Browsing by Publisher "Bulgarian Academy of Sciences, National Committee of Theoretical and Applied Mechanics"

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    ANALYTICAL STUDY OF PARALLEL PLATE FLOW OF A NEWTONIAN FLUID WITH SPATIAL VARIATIONS IN VISCOSITY
    (Bulgarian Academy of Sciences, National Committee of Theoretical and Applied Mechanics, 2024) Pakdemirli M.
    One dimensional Newtonian fluid flow between fixed parallel plates is considered. The viscosity is not constant but changes with the spatial variable of height. Two different classes of problems are treated: 1) Continuous changes in the viscosity, 2) Discontinuous changes in the viscosity. In the first class, general integral form solutions are given first and then, for the four different viscosity functions, the velocities and the discharges are calculated. For the second class of discontinuous changes, two problems are solved: 1) Two different immiscible fluids one laying on top of the other, 2) An intermediate high viscosity fluid lubricated by a low viscosity thin layer fluid at the boundaries. Velocity profiles and discharges are calculated for both cases. It is found that spatial viscosity variations have substantial effects on the velocity profiles and discharges and cannot be ignored for a precise treatment. © 2024 Bulgarian Academy of Sciences, National Committee of Theoretical and Applied Mechanics. All rights reserved.