Abstract:
Steady boundary layer flows produced by deforming surfaces with heat transfer have significant
technical applications. These include studying the cooling process of metallic plates immersed in
a cooling bath, analysing the boundary layer during liquid film condensation, , annealing of
copper wires, uninterrupted extrusion of polymer sheet from dye and examining the behaviour of
boundary layers in polymer industries for glass production. Motivated by such significance,
present thesis aims at formulating flows of two different viscoelastic fluids bounded by
deforming surfaces with heat transfer. In first problem, Jeffrey fluid with variable physical
properties is employed. Mathematical modeling is performed by incorporating exponential
variation in viscosity, thermal conductivity, relaxation time and retardation time with
temperature. Transport equations are formulated under the aforesaid assumption and are solved
for self-similar solutions using a numerical scheme. Illustrative results are included, reflecting
the consequences of variable physical properties on the induced viscoelastic fluid motion and
accompanying heat transfer. In addition, skin friction factor for Jeffrey fluid with variable
properties is evaluated and described. The second problem deals with the examination of partial
slip conditions and viscous dissipation effects for analyzing second grade fluid flow over a
deforming surface. The theromophoretic force term is factored in the concentration equation,
which is vital for the liquids with light molecular weight. The consideration of wall slip
condition produces a non-linear Robin-type condition for the velocity field. Akin to the first
problem, a self-similar solution is derived for full range of slip coefficients using a numerical
scheme. Streamlines and isotherms are generated from the numerical solutions in both the
considered problems.
