1. Mechanical Engineering Department, Faculty of Engineering, Assiut University, Assiut 71516, Egypt e-mail:
2. Mechanical Engineering Department, Faculty of Engineering-Rabigh, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia
3. Department of Mechanical Engineering, Assiut University, Assiut 71516, Egypt e-mail:
4. Mechanical Engineering Department, Faculty of Engineering, Majmaah University, P.O. Box 66, Majmaah 11952, Saudi Arabia e-mail: