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Motion of a single solid and fluid sphere in viscoplastic fluids and viscoplastic fluid flow through fixed beds: a unified solution

Dolejs V., Siska B., Teichman R., Dolecek P., Brokl P.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 4

1157-1172

An approach to the calculation of drag and fall or rise velocity of a solid and Newtonian fluid spheres in viscoplastic fluids and to the calculation of pressure drop in viscoplastic fluid flow through random fixed beds of particles is suggested. It is based on the application of the modified Rabinowitsch-Mooney equations together with corresponding relations for consistency variables and on the application of the relationship of Hadamard-Rybczynski valid for both the fluid and solid spheres. The solution is concretized for Bingham, Casson and Robertson-Stiff flow models, and in the case of fixed beds also for Herschel-Bulkley flow model.

Pressure drop during the flow of viscoplastic fluids through ducts

Dolejs V., Siska B., Dolecek P.

Applied Mechanics and Engineering

2000

Vol. 5, no 2

419-433

An equation of Rabinowitsch-Mooney type together with the corresponding relations for consistency variables has been adopted for an approximate calculation of pressure drop in flow of viscoplastic fluids through straight ducts. The suitability of the suggested procedure of calculation of pressure drop is demonstrated by the comparison of calculation results with the published analytical solution of flow of Robertson-Stiff fluid through an annulus and with numerical solution of flow of Bingham fluid through ducts of rectangular cross section.