[1] South Valley Univ, Fac Engn, Mech Engn Dept, Qena 83523, Egypt
[2] Umm Al Qura Univ, Coll Engn & Islamic Architecture, Mech Engn Dept, Mecca 21421, Saudi Arabia
[3] Aswan Univ, Fac Engn, Aswan 81542, Egypt
[4] Egypt Japan Univ Sci & Technol, Chem & Petrochem Engn Dept, Alexandria 21934, Egypt
[5] Zagazig Univ, Fac Engn, Mech Design & Prod Engn Dept, Zagazig 44519, Egypt
[6] Kafr El Sheikh Univ, Fac Engn, Dept Mech Engn, Kafr Al Sheikh 33516, Egypt