The response of inhomogeneous fluids whose material properties are strongly interconnected with mean normal stress and shear rate; such phenomenon undergo to rate constitutive-type theories within thermodynamical aspects. In this context, the thermodynamic approach for modeling a class viscoelastic so-called Oldroyd-B fluid is investigated through singular kernel. This because role kernel has b...

In this paper, we establish the well-posedness for third grade fluid equation perturbed by a multiplicative white noise. This describes motion of non-Newtonian differential type with relevant viscoelastic properties. We are faced strongly nonlinear stochastic partial supplemented Navier slip boundary condition. Taking initial condition in Sobolev space H2, show existence and uniqueness strong (...

BACKGROUND The carnivorous plants of the genus Nepenthes, widely distributed in the Asian tropics, rely mostly on nutrients derived from arthropods trapped in their pitcher-shaped leaves and digested by their enzymatic fluid. The genus exhibits a great diversity of prey and pitcher forms and its mechanism of trapping has long intrigued scientists. The slippery inner surfaces of the pitchers, wh...

a frequency-wavenumber-domain formulation is presented in this paper for calculation of the green's functions and wave propagation modes in a stratified fluid body underlain by a layered viscoelastic soil medium. the green's functions define the solid and fluid displacements and fluid pressures due to uniform disk loads acting in either the soil or fluid media. the solution is in the frequency ...