Numerical Flow and Heat Transfer in a Channel with Various Shaped Ribs
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Abstract – A numerical investigation of convective heat transfer between a fluid and some physical obstacles (ribs) mounted on the lower wall (12 ribs) and on the upper wall (13 ribs) of a channel was conducted. This technique is used in the internal cooling of turbine blades. The governing equations have been solved in a two-dimensional domain using a control volume method and the SIMPLE algorithm for the velocity-pressure coupling is employed. Computation was made for three shaped ribs, rectangular, triangular and semicircular cross-sections. The flow Reynolds number for this numerical study is varied between 200 and 1000 and the Prandtl number is equal to 0.71. The rib height-to-channel hydraulic diameter, width-to channel hydraulic diameter and pitch-to-height ratio are fixed at h=0.214, w=0.74 and p=10, respectively. The grid is non uniform and is highly concentrated close to the rib to capture high gradient velocity, pressure and temperature. A uniform temperature through the ribs and all walls was assumed. We have determined distributions of velocity, friction factor, temperature and Nusselt number according to the shaped ribs and Reynolds numbers
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