Geodesic
Steady Stokes flow past dumbbell shaped axially symmetric body of revolution: An analytic approach
Theoretical and applied mechanics, Tome 39 (2012) no. 3, p. 255 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, the problem of steady Stokes flow past dumbbell-shaped axially symmetric isolated body of revolution about its axis of symmetry is considered by utilizing a method (Datta and Srivastava, 1999) based on body geometry under the restrictions of continuously turning tangent on the boundary. The relationship between drag and moment is established in transverse flow situation. The closed form expression of Stokes drag is then calculated for dumbbell-shaped body in terms of geometric parameters b, c, d and a with the aid of this linear relation and the formula of torque obtained by (Chwang and Wu, part 1, 1974) with the use of singularity distribution along axis of symmetry. Drag coefficient and moment coefficient are defined in various forms in terms of dumbbell parameters. Their numerical values are calculated and depicted in respective graphs and compared with some known values.
DOI : 10.2298/TAM1203255S
Classification : 76D05
Keywords: Stokes flow, dumbbell shaped axially symmetric body, drag, torque. 
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     title = {Steady {Stokes} flow past dumbbell shaped axially symmetric body of revolution: {An} analytic approach},
     journal = {Theoretical and applied mechanics},
     pages = {255 },
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Deepak Kumar Srivastava; Raja Ram Yadav; Supriya Yadav. Steady Stokes flow past dumbbell shaped axially symmetric body of revolution: An analytic approach. Theoretical and applied mechanics, Tome 39 (2012) no. 3, p. 255 . doi: 10.2298/TAM1203255S

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