Heat transfer elliptic cylinder

The heat transfer coefficient, h, is the variable whose value is being sought. Consider a series of bodies of the same geometrical shape, e.g., a series of elliptical cylinders (see Fig. 1.13), but of different size placed in various fluids. It can be deduced, either by physical argument or by considering available experimental results, that if, in the case of gas flows, the velocity is low enough for compressibility effects to be ignored, h will depend on ... 

Using the procedure outlined in this chapter for using the boundars laser equations to find the-forced convective heat transfer rate from a circular cylinder buried in a saturated porous medium, investigate the heat transfer rate from cylinders with an elliptical cross-section with their major axes aligned with the forced flow. The surface velocity distribution should be obtained from a suitable book on fluid mechanics. 

Note that in some problems of heat and mass transfer and chemical hydrodynamics, the velocity fields near the body can be determined by the flow laws of ideal nonviscous fluid. This situation is typical of flows in a porous medium [75, 153, 346] and of interaction between bodies and liquid metals (see Section 4.11, where the solution of heat problem for a translational ideal flow past an elliptical cylinder is given). 

G. D. Raithby and K. G. T. Hollands, Laminar and Turbulent Free Convection From Elliptic Cylinders, With a Vertical Plate and Horizontal Circular Cylinder as Special Cases, J. Heat Transfer (98) 72-80,1976. 

T. Miyazaki and W. H. Giedt, Heat Transfer from an Elliptical Cylinder Moving Through an Infinite Plate Applied to Electron Beam Processing, Int. J. Heat Mass Transfer, 25, pp. 807-814,1982. 

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