Abstract
A study is made of the average rate of heat transferred to the wall of a rectangular channel when a hot incompressible non-Newtonian fluid flows through it. The fluid is that which is commonly called ‘third grade’ and is the Rivlin-Ericksen fluid of highest order which can yield rectilinear flow without secondary cross flow in a rectangular channel. A heat-transfer coefficient has been evaluated for several values of a non-Newtonian parameter \\ ̄ g3, and for a range of rectangular geometries from the square at one end to infinite parallel planes at the other. The results show increasing enhancement of the heat-transfer coefficient for any \\ ̄ g3 value, on moving away from the square towards narrower rectangles. An increase of the heat-transfer coefficient is also found for those fluids which exhibit large strain-rate gradients in the wall region of an arbitrary rectangular channel.
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