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By Baehr H.D., Stephan K.

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By Baehr H.D., Stephan K.

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22) with a new quantity, the local heat transfer coefficient, defined by α := q˙W . 23) This definition replaces the unknown heat flux q˙W , with the heat transfer coefficient, which is also unknown. This is the reason why many researchers see the introduction of α as unnecessary and superfluous. Nevertheless the use of heat 2 Ludwig Prandtl (1875–1953) was Professor for Applied Mechanics at the University of G¨ottingen from 1904 until his death. He was also Director of the Kaiser-Wilhelm-Institut for Fluid Mechanics from 1925.

In a flat vessel wall the temperature changes linearly, however the straight line moves according to time. 38 1 Introduction. Technical Applications Fig. 17: Temperature profile for the cooling of a thin walled vessel The process of cooling, as in Fig. 17, will now be considered.

The density of the fluid adjacent to the wall is lowered, causing an upward flow in the gravitational field to develop. In free convection, the characteristic (forced) velocity w0 does not apply. The new physical quantity is the acceleration due to gravity g. 50) known as the Galilei number. As the density changes with temperature ν = η/ must be calculated with a constant density 0 = (ϑ0 ) using a fixed reference temperature ϑ0 . All other fluid properties are assumed to be constant. 1 The different types of heat transfer 23 At least one new characteristic number K is required to describe the density changes with temperature.

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