Pressure-exerted steady laminar flow of an incompressible fluid along a porous parallel-walled channel with an impermeable wall.

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>=...

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Publicado en:Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 77; no. 7; pp. 675 - 688
Autores principales: Gazambeti, Yvon, Ngo Nyobe, Elisabeth, Lamara, Maurice, Pemha, Elkana
Formato: Artículo
Publicado: De Gruyter Jul2022
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Jul2022
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        atl: Pressure-exerted steady laminar flow of an incompressible fluid along a porous parallel-walled channel with an impermeable wall.
      aug:
        au:
          Gazambeti, Yvon
          Ngo Nyobe, Elisabeth
          Lamara, Maurice
          Pemha, Elkana
        affil:
          Applied Mechanics Laboratory, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
          Department of Mathematics and Physical Science, National Advanced School of Engineering, University of Yaoundé I, P.O. Box 8390, Yaoundé, Cameroon
      su:
        Incompressible flow
        Fluid flow
        Laminar flow
        Non-Newtonian flow (Fluid dynamics)
        Steady-state flow
        Streamlines (Fluids)
        Stream function
        Computational fluid dynamics
      sug:
        subj:
          Incompressible flow
          Fluid flow
          Laminar flow
          Non-Newtonian flow (Fluid dynamics)
          Steady-state flow
          Streamlines (Fluids)
          Stream function
          Computational fluid dynamics
      keyword:
        laminar flows along semi porous parallel-walled channels
        Newton–Raphson optimization algorithm
        numerical shooting technique
        similarity-solution method
        vorticity equation
        wall shear stress
      ab: 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 .
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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          year: 2022
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