Drag on a permeable sphere placed in a micropolar fluid with non-zero boundary condition for microrotations

• Autorzy: Mishra V. , Gupta B. R.

Identyfikatory

DOI

10.17512/jamcm.2016.3.10

• Języki publikacji: EN

Abstrakty

EN

This paper concerns an analytical study of an infinite expanse of uniform flow of steady axisymmetric creeping flow of an incompressible micropolar fluid around the permeable sphere assuming a nonhomogeneous boundary condition for microrotation vector. It is assumed that microrotation vector is proportional to the rotation rate of velocity vector. The stream function solutions for the flow fields are obtained in the terms of modified Bessel’s functions and Gegenbauer functions. Continuity of normal velocity, no-slip condition, non-zero microrotation vector on the sphere, uniform velocity at infinity are the different boundary conditions used to determine the flow fields explicitly. The microrotation component, pressure field, bounds of permeability parameter and drag force experienced by the permeable sphere are calculated. Dependence of the drag force on different fluid parameters is presented graphically and discussed. It is found that drag force decreases with increasing spin parameter. Several cases of interest are deduced from the present analysis.

Słowa kluczowe

EN

drag force; modified Bessel’s function; micropolar fluid; permeable sphere; stream function

PL

siła tarcia; funkcja Bessela

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 3
• Strony: 97--109
• Opis fizyczny: Bibliogr. 21 poz, rys.

Twórcy

autor

Mishra V.

• Department of Mathematics, Jaypee University of Engineering & Technology

autor

Gupta B. R.

• Department of Mathematics, Jaypee University of Engineering & Technology Guna, M.P, India

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.