title: Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions.
abstract: Here Darcy-Forchheimer flow of viscoelastic fluids has been analyzed in the presence of Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Results for two viscoelastic fluids are obtained and compared. A linear stretching surface has been used to generate the flow. Flow in porous media is characterized by considering the Darcy-Forchheimer model. Modified version of Fourier's law through Cattaneo-Christov heat flux is employed. Equal diffusion coefficients are employed for both reactants and auto catalyst. Optimal homotopy scheme is employed for solutions development of nonlinear problems. Solutions expressions of velocity, temperature and concentration fields are provided. Skin friction coefficient and heat transfer rate are computed and analyzed. Here the temperature and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to classical Fourier's law of heat conduction. Moreover, the homogeneous and heterogeneous reactions parameters have opposite behaviors for concentration field.
authors.affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan.|Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
authors.affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan.
authors.forename: Farwa
authors.initials: F
authors.lastname: Haider
authors.affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan.
authors.forename: Taseer
authors.identifier: http://orcid.org/0000-0002-0838-2731
authors.initials: T
authors.lastname: Muhammad
authors.affiliation: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Alsaedi
mesh_terms: D002056:Burns / Q000209:etiology; D004548:Elasticity; D017276:Friction; D006358:Hot Temperature; D006801:Humans; D008962:Models, Theoretical; D012879:Skin Physiological Phenomena; D013814:Thermal Conductivity; D014783:Viscosity