Convective Heat Transfer in Magneto-Hydrodynamic Carreau Fluid with Temperature Dependent Viscosity and Thermal Conductivity
Syed Amir Ghazi Ali Shah,
Ali Hassan,
Najah Alsubaie,
Abdullah Alhushaybari,
Fahad M. Alharbi,
Ahmed M. Galal,
Diana-Petronela Burduhos-Nergis,
Costica Bejinariu
Affiliations
Syed Amir Ghazi Ali Shah
Department of Mathematics, Capital University of Science and Technology, Islamabad 46000, Pakistan
Ali Hassan
Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan
Najah Alsubaie
Department of Computer Sciences, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Abdullah Alhushaybari
Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Fahad M. Alharbi
Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca 28821, Saudi Arabia
Ahmed M. Galal
Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam bin Abdulaziz University, Al-Kharj 16278, Saudi Arabia
Diana-Petronela Burduhos-Nergis
Faculty of Materials Science and Engineering, “Gheorghe Asachi” Technical University, 700050 Iasi, Romania
Costica Bejinariu
Faculty of Materials Science and Engineering, “Gheorghe Asachi” Technical University, 700050 Iasi, Romania
This study is aimed to explore the magneto-hydrodynamic Carreau fluid flow over a stretching/shrinking surface with a convectively heated boundary. Temperature-dependent variable thermophysical properties are utilized to formulate the problem. The flow governing equations are obtained with boundary layer approximation and constitutive relation of the Carreau fluid. The shooting method is utilized to obtain graphical and numeric outcomes. Additionally, initial guesses are generated with the help of Newton’s method. The effect of Weissenberg number, Magnetization, stretching ratio, Prandtl number, suction/blowing parameter, and Lewis number is obtained on velocity, temperature and species continuity profile and analyzed. Shear stress rates and Nusselt number outcomes under body forces influences are present in tabulated data and discussed. It is observed that in absence of magnetization force, B = 0 and strong mass suction 5≤S≤7.5 effect high rates of Nusselt number is obtained. It is concluded that under the influence of power law index and non-linearity parameter maximum heat transfer and reduced shear stress rates are obtained.
