a theoretical solution is presented for the forced convection heat transfer of a viscoelastic fluid obeying the giesekus constitutive equation in a concentric annulus under steady state, laminar, and purely tangential flow. a relative rotational motion exists between the inner and the outer cylinders, which induces the flow. a constant temperature was set in both cylinders, in this study. the f...

Two recent papers showed that shear-lag analysis can be an effective tool for stress analysis of composites when done properly and when applied to problems for which it is appropriate. This paper extends the prior analysis of concentric cylinders to a generalized shear-lag analysis in which the transverse variations of shear stress are described by arbitrary shape functions. The shear-lag analy...

The solution to the scattering of an incident pressure wave by an arrangement of eccentric cylinders embedded inside a pair of concentric cylinders is derived here using a combination of T-matrix and mode-matching approaches. This method allows the generation of synthetic data from relatively complex structures to be used for the validation of acoustic tomography methods. An application of the ...

The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding Stokes flow problem.

A theorem of Laman gives a combinatorial characterisation of the graphs that admit a realisation as a minimally rigid generic bar-joint framework in R. A more general theory is developed for frameworks in R whose vertices are constrained to move on a two-dimensional smooth submanifold M. Furthermore, when M is a union of concentric spheres, or a union of parallel planes or a union of concentric...

The steady flow of an electrically conducting, incompressible micropolar fluid in a narrow gap between two concentric rotating vertical cylinders, with porous lining on inside of outer cylinder, under an imposed axial magnetic field is studied. Beavers and Joseph slip condition is taken at the porous lining boundary. The velocity profiles, coefficient of skin friction on the cylinders are calcu...

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