Abstract
This chapter presents fully developed fluid flow problem for rectangular ducts. The flow field in a noncircular duct having corners is divided into as many numbers of flow regions as there are corners. It is hypothesized that the flow in each such region is influenced by its own corner. Each region is then treated as a separate flow passage with its characteristic dimension as the length of the path of least shear resistance in the flow field connecting the corner and the point of maximum velocity. The average characteristic dimension for the noncircular duct is taken as the arithmetic average of the characteristic dimensions of all flow regions. The shape factor characterizing the duct geometry is defined as the ratio of the foregoing average dimension to the duct perimeter. The fully developed pressure gradient in a duct depends upon the surface area of contact. The ratio of fully developed pressure gradient in a rectangular duct to that in a circular duct of the same flow area would then depend upon the perimeter ratio.
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