Mhd Generator Duct Flow With Cross Stream Dependent Fluid Properties

Cover Mhd Generator Duct Flow With Cross Stream Dependent Fluid Properties
Mhd Generator Duct Flow With Cross Stream Dependent Fluid Properties
Trovillion, Thomas Albert
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1 : 1 \ \ \ I \ i i i 1 1 1 j i j | i i !
j 1 !
!
5 j j | 1 \ 1 s \ 1 I \ \ i i 1 ; !
i : j i 1 i 114 of the Hartmann number in similar fashion to the one-dimensional approximation.
The current streamlines for this higher Hartmann number are now seen to be straight and uniformly spaced over a much broader region of the channel, indicating the increased size of the invicid core. Although the load resistance in Figure 5-18 is the same as previously, only the outer streamline returns in the Hartma
...nn layer.
This is due to the much greater resistance of the narrow boundary layer in this case as opposed to the thicker ones at lower Hartmann numbers.
The major feature to be derived from these plots is how the one-dimensional region of the channel is increased by going to the higher Hartmann numbers. The boundary layer on the electrode, which is now greatly reduced, is the only feature not predicted by the one- dimensional Hartmann solution. This gives a good intuitive feel for the reason why the Hartmann approximation is effective and becomes more so as higher Hartmann numbers are reached.


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