title: Three-dimensional flow of nanofluid induced by an exponentially stretching sheet: an application to solar energy.
abstract: This work deals with the three-dimensional flow of nanofluid over a bi-directional exponentially stretching sheet. The effects of Brownian motion and thermophoretic diffusion of nanoparticles are considered in the mathematical model. The temperature and nanoparticle volume fraction at the sheet are also distributed exponentially. Local similarity solutions are obtained by an implicit finite difference scheme known as Keller-box method. The results are compared with the existing studies in some limiting cases and found in good agreement. The results reveal the existence of interesting Sparrow-Gregg-type hills for temperature distribution corresponding to some range of parametric values.
authors.affiliation: Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan.
authors.forename: Junaid Ahmad
authors.initials: JA
authors.lastname: Khan
authors.affiliation: School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan.
authors.forename: M
authors.initials: M
authors.lastname: Mustafa
authors.affiliation: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia.
authors.forename: T
authors.initials: T
authors.lastname: Hayat
authors.affiliation: Department of Mechanical Engineering, Babol University of Technology, Babol, Iran.
authors.forename: M
authors.initials: M
authors.lastname: Sheikholeslami
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia.
authors.forename: A
authors.initials: A
authors.lastname: Alsaedi
mesh_terms: D008962:Models, Theoretical; D036103:Nanotechnology; D012993:Solar Energy