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Stokes flow and heat transfer past a circular cylinder in a square cavity with suction/injection on sidewalls
Author(s) -
Muduganti Pavankumar Reddy,
Josyula Ramana Murthy V.
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21776
Subject(s) - laminar flow , mechanics , potential flow around a circular cylinder , cylinder , stream function , suction , biharmonic equation , flow (mathematics) , heat transfer , square (algebra) , physics , mathematics , materials science , thermodynamics , geometry , boundary value problem , open channel flow , mathematical analysis , vortex , vorticity
Abstract The laminar viscous fluid flow past a circular cylinder placed in a square cavity of a uniform cross‐section is generated by applying injection/suction at the adjacent sidewalls. The temperature on the side walls without suction and on the boundary of the cylinder is kept constant, and constant heat flux is maintained on the walls with suction. The streamline flow pattern and isothermal lines are drawn. The flow is assumed to be Stokesian. Hence, the resulting biharmonic equation is solved for stream function by expressing it in two coupled equations, and a 5‐point formula is used to solve these equations. Fictitious nodes are introduced for derivative boundary conditions for stream function by using a central difference scheme, and a 3‐point backward difference formula is used for derivative boundary conditions on temperature.