Laminar flow past the bottom with obstacles – a suspension approximation

• Autorzy: Wojnar R. , Bielski W.

Identyfikatory

DOI

10.1515/bpasts-2015-0080

• Języki publikacji: EN

Abstrakty

EN

From Albert Einstein’s study (1905) it is known that suspension introduced to a fluid modifies its viscosity. We propose to describe the influence of obstacles on the Stokesian flow as a such modification. Hence, we treat the fluid flow through small obstacles as a flow with suspension. The flow is developing past the plane bottom under the gravity force. The spatial distribution of suspension concentration is treated as given, and is regarded as an approximation of different obstacles which modify the fluid flow and change its viscosity. The different densities of suspension are considered, beginning of small suspension concentration until 40%. The influence of suspension concentration on fluid viscosity is analyzed, and Brinkman’s formula as fitting best to experimental data is applied.

Słowa kluczowe

EN

Stokes flow; Einstein's suspension; Brinkman’s suspension; non-uniform viscosity; velocity distribution; wastes; plants on the bottom

PL

przepływ Stokesa; lepkość; rozkład prędkości; odpady

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2015
• Tom: Vol. 63, nr 3
• Strony: 685--695
• Opis fizyczny: Bibliogr. 76 poz., rys., wykr.

Twórcy

autor

Wojnar R.

• Institute of Fundamental Technological Research PAS, IPPT PAN, 5B Pawińskiego St., 02-106 Warszawa, Poland

autor

Bielski W.

• Institute of Geophysics, Polish Academy of Sciences, IGF PAN, 64 Księcia Janusza St., 01-452 Warszawa, Poland

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