the combined effect of non-newtonian rheology and irreversible boundary reaction on dispersion in a herschel-bulkley fluid through a conduit (pipe/channel) is studied by using generalized dispersion model. the study explains the development of dispersive transport following the injection of a tracer in terms of three effective transport coefficients namely exchange, convective and dispersion co...

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 (...

Viscoelastic materials with fading memory, e.g., polymers, suspensions, and emulsions, exhibit behavior that is intermediate between the nonlinear hyperbolic response of purely elastic materials and the strongly diffusive, parabolic response of viscous fluids. Many popular numerical methods used in the computation of steady viscoelastic flows fail in important flow regimes, and thus do not capt...

In the present paper, we get exact solutions of Magnetohydrodynamic (MHD) of the fractionalized three-dimensional flow of Newtonian fluid with porous and heat transfer through the traveling wave parameter. The governing equations are produced dependent on established Navier-stokes equations which can be diminished to ordinary differential equation by wave parameter ξ=ax+by+nz+Utα/Γ(α...

This study computationally investigates the heat transfer characteristics in a double-pipe counter-flow heat-exchanger. A heated viscoelastic fluid occupies inner core region, and outer annulus is filled with colder Newtonian-Fluid-Based Nanofluid (NFBN). mathematical model developed to conjugate exchange properties from hot NFBN. The modelling formulation of given problem comprises system coup...

The mixing of Newtonian and non-Newtonian fluids in a magnetic micro-mixer was studied numerically using  ferrofluid. The mixing process was performed in a three-dimensional steady-state micro-mixer. A magnetic source was mounted at the entrance of the micro-channel to oscillate the magnetic particles. The effects of electric current, inlet velocity, size of magnetic particles, and non-Newtonia...

Continuity and momentum equations govern the pore-scale flow properties of fluid in porous media, whereas Darcy’s law governs Darcy scale transport media. The empirical shift factor relates steady shear-dependent viscosity non-Newtonian fluids to reported values cover three orders magnitude depending on considered fluid-medium configurations. This creates a challenge upscale rheology from scale...

The paper is devoted to homogenization of two-phase incompressible viscoelastic flows with disordered microstructure. We study two cases. In the first case, both phases are modeled as Kelvin-Voight viscoelastic materials. In the second case, one phase is a Kelvin-Voight material, and the other is a viscous Newtonian fluid. The microscale system contains the conservation of mass and balance of m...

An algorithm is presented for simulating the fluid and stress equations that arise in a continuum model of platelet aggregation [A.L. Fogelson, R.D. Guy, Platelet–wall interactions in continuum models of platelet thrombosis: formulation and numerical solution, Math. Med. Biol. 21 (2004) 293–334]. The model is equivalent to models of viscoelastic fluids with spatially and temporally varying mate...

In India, most of the pavement is laid by bituminous road and the consumption of binder is high for pavement construction and also modified binders are used to satisfy any specific pavement requirement. Since the binders are visco-elastic material which is having the mechanical properties of binder transition from viscoelastic solid to visco-elastic fluid. In this paper, two different protocols...