## THERMAL SCIENCE

International Scientific Journal

### HEAT TRANSFER ANALYSIS BASED ON CATTANEO-CHRISTOV HEAT FLUX MODEL AND CONVECTIVE BOUNDARY CONDITIONS FOR FLOW OVER AN OSCILLATORY STRETCHING SURFACE

**ABSTRACT**

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 nonlinear partial differential equations 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.

**KEYWORDS**

PAPER SUBMITTED: 2016-02-25

PAPER REVISED: 2017-08-22

PAPER ACCEPTED: 2017-08-24

PUBLISHED ONLINE: 2017-09-09

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Issue 2**, PAGES [443 - 455]

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