The feature of non-isothermal viscoelastic flows around sphere at obstruction condition

The numerical study is performed for study of the viscoelastic flow characteristics and heat transfer around sphere. The flow of liquid is described by equations of conservation of mass, momentum and thermal energy with rheological constitutive equation of Phan-Thien Tanner (PTT). This model represents generalized Maxwell type model with two additional parameters developed from kinetic theory of polymers. The nonlinear behaviour of fluid velocity behind body (“negative wake”) is observed. The paper numerically shows the essential influence of relaxation time and heating of sphere for viscoelastic structure of the flow in wake. The heat transfer exchange in non-isothermal flow around sphere with slip and noslip condition on walls has been investigated.