1. Laboratoire de Modélisation Numérique et Expérimentale des Phénomènes Mécaniques (LMNEPM), Department of Mechanical Engineering, University Abdelhamid Ibn badis of Mostaganem, Mostaganem, Algeria
2. Laboratoire SEA2M, University Abdelhamid Ibn badis of Mostaganem, Mostaganem, Algeria
3. LMPM, Faculty of Engineering, University of Sidi-BelAbbes, Sidi-BelAbbes, Algeria
4. Department of Mechanical Engineering, King Saud University, Riyadh, Saudi Arabia