An Analytical Study of the Flow and Heat Transfer of Viscoelastic Fluid Between Two Wavy Walls Situated Symmetrically About a Mid Plane

In this work the two dimensional flow and heat transfer of a Visco-elastic fluid flowing steadily between two walls having periodic deformation and situated symmetrically about a mid plane is studied. The equation of motion and energy are solved with the help of the perturbation method taking the deformation of the boundaries small. Energy equation is solved under two types of thermal boundary conditions; (i) both walls are maintained at the same constant temperature and (ii) one wall is at constant temperature while the other wall is thermally insulated. The effects of visco-elastic parameter ‘K’ on the velocity distribution has been studied by draining the streamlines. We also note that the temperature distribution is not affected the presence of viscoelasticity of the liquid.