TY - JOUR
TI - Integral-balance solution to the Stokes’ first problem of a viscoelastic generalized second grade fluid
AU - Hristov Jordan Y
JN - Thermal Science
PY - 2012
VL - 16
IS - 2
SP - 395
EP - 410
PT - Article
AB - Integral balance solution employing entire domain approximation and the  penetration dept concept to the Stokes’ first problem of a viscoelastic  generalized second grade fluid has been developed. The solution has been  performed by a parabolic profile with an unspecified exponent allowing  optimization through minimization of the norm over the domain of the  penetration depth. The closed form solution explicitly defines two  dimensionless similarity variables and , responsible for the viscous and the  elastic responses of the fluid to the step jump at the boundary. The solution  was developed with three forms of the governing equation through its two  dimensional forms (the main solution and example 1) and the dimensionless  version showing various sides of the flow field and how the dimensionless  groups control it: mainly the effect of the Deborah number. Numerical  simulations demonstrating the effect of the various operating parameter and  fluid properties on the developed flow filed have been performed.