title: On Comparison of Series and Numerical Solutions for Flow of Eyring-Powell Fluid with Newtonian Heating And Internal Heat Generation/Absorption.
abstract: In this paper, we have investigated the combined effects of Newtonian heating and internal heat generation/absorption in the two-dimensional flow of Eyring-Powell fluid over a stretching surface. The governing non-linear analysis of partial differential equations is reduced into the ordinary differential equations using similarity transformations. The resulting problems are computed for both series and numerical solutions. Series solution is constructed using homotopy analysis method (HAM) whereas numerical solution is presented by two different techniques namely shooting method and bvp4c. A comparison of homotopy solution with numerical solution is also tabulated. Both solutions are found in an excellent agreement. Dimensionless velocity and temperature profiles are plotted and discussed for various emerging physical parameters.
authors.affiliation: Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
authors.affiliation: Faculty of Engineering Sciences, Ghulam Ishaq Khan Institute of Engineering, Sciences & Technology, 23460, Topi, 44000, Pakistan.
authors.forename: Shafqat
authors.initials: S
authors.lastname: Ali
authors.affiliation: Centre for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), Sector H-12, Islamabad, 44000, Pakistan.
authors.forename: Muhammad Asif
authors.initials: MA
authors.lastname: Farooq
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box. 80257, Jeddah, 21589, Saudi Arabia.
authors.forename: Ahmad
authors.initials: A
authors.lastname: Alsaedi
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical