| Sumario: | Due to the two-dimensional configuration of the channel, relation (3) justifies the existence of the stream function I i whose definition is given by the following relations: HT <math display="block" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>V</mi><mi>x</mi></msub><mo>=</mo><mfrac><mi> </mi><mi> </mi><mi> </mi><mi>y</mi></mfrac><mspace width="0.17em" /><mtext>and</mtext><mspace width="0.17em" /><msub><mi>V</mi><mi>y</mi></msub><mo>=</mo><mo>-</mo><mfrac><mi> </mi><mi> </mi><mi> </mi><mi>x</mi></mfrac><mo>,</mo></math> ht Graph (4)so that the conservation of mass is automatically satisfied without knowing beforehand the velocity field. As I i increases from its smallest value 0, the quantity HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="|" open="|"><msub><mfenced close=")" open="("><mi> </mi><mi>u</mi><mo>/</mo><mi> </mi><mi> </mi></mfenced><mtext>wall</mtext></msub></mfenced></math> ht decreases. - The Reynolds number of the flow is defined as: HT <math overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML"><mi>Re</mi><mo>=</mo><mfenced close=")" open="("><mrow><mi>U</mi><mi>h</mi><mo>+</mo><msup><mi>h</mi><mn>3</mn></msup><mfenced close="|" open="|"><msub><mi>P</mi><mi>L</mi></msub><mo>-</mo><msub><mi>P</mi><mn>0</mn></msub></mfenced><mo>/</mo><mn>4</mn><mi> </mi><mi> </mi><mi>L</mi></mrow></mfenced><mo>/</mo><mi> </mi></math> ht .
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