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.
Highlights
Boundary layer flow due to an impulsive motion of a moving extensible surface is involved in various industrial and technological applications such as metal and polymer extrusion, aerodynamic extrusion of plastic sheets, glass blowing, crystal growing, paper production etc
He concluded that rate of cooling of the extruded polymer sheet is larger in viscoelastic fluid when compared with the viscous fluid
After these fundamental studies, stretching sheet problem in two- and three-dimensional flows has been extensively studied by the researchers
Summary
Boundary layer flow due to an impulsive motion of a moving extensible surface is involved in various industrial and technological applications such as metal and polymer extrusion, aerodynamic extrusion of plastic sheets, glass blowing, crystal growing, paper production etc. Khan and Sanjayanand [20] examined heat transfer of viscoelastic boundary layer flow over an exponentially stretching sheet and obtained an approximate analytical solution.
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