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Flow of non‐Newtonian fluids in a magnetic field
Author(s) -
Sarpkaya Turgut
Publication year - 1961
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690070231
Subject(s) - newtonian fluid , laminar flow , generalized newtonian fluid , non newtonian fluid , herschel–bulkley fluid , compressibility , mechanics , bingham plastic , pressure gradient , flow (mathematics) , hartmann number , incompressible flow , power law fluid , magnetic field , streamlines, streaklines, and pathlines , fluid dynamics , physics , classical mechanics , constant (computer programming) , thermodynamics , viscosity , reynolds number , rheology , shear rate , computer science , programming language , quantum mechanics , turbulence , nusselt number
The analytical solution to the equation of motion is given for the steady laminar flow of a uniformly conducting incompressible non‐Newtonian fluid between two parallel planes. The fluid is under the influence of a constant pressure gradient and is subjected to a steady magnetic field perpendicular to the direction of motion. Two non‐Newtonian models are considered: the Bingham plastic model and the power‐law model. Flow rates and the velocity profiles for various values of the Hartmann number and the generalized Hartmann number are presented and compared with those corresponding to Newtonian fluids.