1. LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences; School of Mathematical Science, University of Chinese Academy of Sciences, Beijing, P R China
2. Physics Department, College of Sciences Abha, King Khalid University, Abha, Saudi Arabia
3. Research Laboratory of Metrology and Energetic Systems, National Engineering School, Energy Engineering Department, Monastir University, Monastir, Tunisia
4. Higher School of Sciences and Technology of Hammam Sousse, Sousse University, Sousse, Tunisia
5. Laboratoire de Recherche Thermique et Thermodynamique des Procédés Industriels (LRTTPI, National Engineering School of Monastir, University of Monastir, Monastir, Tunisia
6. Department of Mechanical Engineering, ISSAT, University of Kairouan, Kairouan, Tunisia
7. Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia
8. UR: “ Matériaux, Energie et Energies Renouvelables “ (MEER), Faculty of Sciences of Gafsa, Gafsa, Tunisia
9. Department of Mathematics, College of Science, Taif University, Taif, Saudi Arabia
10. Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawara, Saudi Arabia
11. Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
12. Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi addawaser 11991, Saudi Arabia
13. Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt