Abstract
The problems of flow of a viscous incompressible gas embedded with particles in a circular cylinder and a cylinder whose cross section is a sector of a circle are discussed. The analysis applies to flows with pressure gradients which are arbitrary functions of time. Explicit expressions for the exact velocities of the gas and particles are obtained by using the methods of operational calculus—the finite Hankel transform, the Laplace transform, etc. Numerical results are obtained for developing flow due to a constant pressure gradient.
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Gupta, R.K., Gupta, S.C. Unsteady flow of a dusty gas in cylinders with circular and sectorial cross sections. Proc. Indian Acad. Sci. 86, 591–601 (1977). https://doi.org/10.1007/BF03046915
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DOI: https://doi.org/10.1007/BF03046915