title: A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux.
abstract: This article examines the impact of Cattaneo-Christov heat flux in flows of viscoelastic fluids. Flow is generated by a linear stretching sheet. Influence of thermal relaxation time in the considered heat flux is seen. Mathematical formulation is presented for the boundary layer approach. Suitable transformations lead to a nonlinear differential system. Convergent series solutions of velocity and temperature are achieved. Impacts of various influential parameters on the velocity and temperature are sketched and discussed. Numerical computations are also performed for the skin friction coefficient and heat transfer rate. Our findings reveal that the temperature profile has an inverse relationship with the thermal relaxation parameter and the Prandtl number. Further the temperature profile and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to the classical Fourier's law of heat conduction.
authors.affiliation: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.|Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
authors.affiliation: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.
authors.forename: Taseer
authors.initials: T
authors.lastname: Muhammad
authors.affiliation: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Alsaedi
authors.affiliation: School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan.
authors.forename: Meraj
authors.initials: M
authors.lastname: Mustafa
mesh_terms: D017276:Friction; D006358:Hot Temperature; D008962:Models, Theoretical; D012212:Rheology; D012996:Solutions; D055682:Viscoelastic Substances / Q000737:chemistry*
chemical_list: D012996:Solutions; D055682:Viscoelastic Substances