Boundary Layer Flow Of Maxwell Fluid Research Articles

Information of stagnation-point flow of Maxwell fluid past symmetrically exponential stretching/shrinking cylinder with prescribed heat flux

This paper deals with the numerical simulation of the stagnation-point boundary-layer flow of Maxwell fluid comprising heat transfer effects past a horizontal cylinder having exponential stretching/shrinking velocity. All geometrical aspects and physical conditions portrayed under the considered model are stated by a system of governing equations in cylindrical coordinates, for which similarity transformation is carried out to get non-linear ordinary differential equations. The secant shooting method is applied to the modeled equations to glean the graphical solution for the skin friction coefficient, local Nusselt number, longitudinal velocity, temperature dispersion, and stream function. Then further discussion was carried out in light of the governing physical parameters, and the nature of dual solutions has been discussed. The results indicate that dual solutions vanish by enhancing stretching and exist only for a limited belt of the shrinking parameter. Surface heat transfer varies inversely for an increasing stretching/shrinking parameter in case of a second branch solution. Curve relocations for axial velocity and temperature have also been observed. The symmetry of the first and second solution for the flow is found to be unaltered for Newtonian and non-Newtonian fluid.

Heat transfer analysis based on cattaneo-christov heat flux model and convective boundary conditions for flow over an oscillatory stretching surface

In this study, we investigate the heat transfer characteristics in unsteady boundary-layer flow of Maxwell fluid by using Cattaneo-Christov heat flux model and convective boundary conditions. The flow is caused by a sheet which is stretched periodically back and forth in its own plane. The physical model that takes into account the effects of constant applied magnetic field is transformed into highly non-linear PDE under boundary-layer approximations. The solution of dimensionless version of these equations is developed using homotopy analysis method. The simulations are presented in the form of temperature and velocity profiles for suitable range of physical parameters. The obtained results illustrate that an increase in Deborah number and Hartmann number suppress the velocity profiles. It is further observed that Cattaneo-Christov heat flux model predicts the suppression of thermal boundary-layer thickness as compared to Fourier law.