The Laminar Boundary Layer Equations by N. Curle

Author:N. Curle [N. Curle]
Language: eng
Format: epub
Publisher: INscribe Digital
Published: 2016-02-28T16:00:00+00:00

where χ1 is the value of χ obtained by using the previous approximation to Qw. The solution for arbitrary wall temperature is obtained by adding the solutions for the relevant distribution of the above elementary increments in wall temperature.

It should be remarked at this stage that, although the method will work effectively (and yield an improvement in accuracy as compared with Lighthill’s method) provided that F does not differ too much from 6·4, it will still break down as separation approaches and the parameter χ → ∞.

Spalding goes on to show that if only the total heat-transfer rate is required, it is not necessary to calculate (and then integrate) the local values. A quicker method is to set up an equivalent relationship to (188), which will allow this to be done directly. Spalding takes the thermal energy integral equation (55), and integrates it with respect to x to obtain

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