Thermosolutal Convection of Natural and Anti-Natural Solutions Through an Angled Cavity Under Cross Gradients in Temperature and Concentration

Authors

  • Abdelhakim Mebrouki Mechanical Department, Technology Faculty, University Batna 2, Batna, Algeria
  • Redha Rebhi Department of Mechanical Engineering, Faculty of Technology, University of Medea, Medea 26000, Algeria
  • Mokdad Hayawi Rahman Aeronautical Technical Engineering, Al-Farahidi University, Baghdad 10011, Iraq
  • Giulio Lorenzini Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze, 181/A, 43124 Parma, Italy
  • Younes Menni Department of Technology, University Center Salhi Ahmed Naama (Ctr. Univ. Naama), P.O. Box 66, Naama 45000, Algeria
  • Houari Ameur Department of Technology, University Center Salhi Ahmed Naama (Ctr. Univ. Naama), P.O. Box 66, Naama 45000, Algeria
  • Hijaz Ahmad Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

DOI:

https://doi.org/10.37934/cfdl.15.5.97119

Keywords:

Natural and anti-natural solutions, thermosolutal convection, inclined cavity, concentration gradients, temperature gradients, numerical survey

Abstract

In the current study, cross-temperature and concentration gradients are used to model the     in a binary fluid contained in an angled square cavity. Using a  method, the , , and  conservation equations were numerically solved. The  inclined cavity under equal solutal buoyancy and thermal forces was the subject of the study . Since the horizontal components of the thermal and singular volume forces were equal but opposed to one another, an equilibrium solution for this situation that corresponds to the rest state of the immobile fluid is feasible. However, this equilibrium solution becomes unstable above a specific critical value of the , leading to vertical density stratification inside the enclosure. The results are shown using the  and  as well as the  and  for the flow intensity. The existence of the commencement of convection is demonstrated in this work, and both natural and anti-natural flow solutions are obtained. Subcritical convection has also been seen for the natural solution when the  is more or less than unity. For the start of supercritical and subcritical convection, the  number's critical values are identified. As the  climbed, so did the flow's intensity and the rates at which heat and mass were transferred. Reducing flow intensity and accelerating mass transfer are the results of raising the . Different flow patterns are shown for an aspect ratio of 4, and the existence interval of the oscillatory solutions is calculated.

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Author Biography

Giulio Lorenzini, Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze, 181/A, 43124 Parma, Italy

giulio.lorenzini@unipr.it

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Published

2023-03-16

How to Cite

Abdelhakim Mebrouki, Redha Rebhi, Mokdad Hayawi Rahman, Lorenzini, G., Younes Menni, Houari Ameur, & Hijaz Ahmad. (2023). Thermosolutal Convection of Natural and Anti-Natural Solutions Through an Angled Cavity Under Cross Gradients in Temperature and Concentration. CFD Letters, 15(5), 97–119. https://doi.org/10.37934/cfdl.15.5.97119

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