We describe the deenition of the SU(3) Casson invariant and outline an argument which determines the contribution of certain types of components of the at moduli space. Two applications of these methods are detailed. The rst is a connect sum formula for the SU(3) Casson invariant 3]. The second presents a strategy for computing the SU(3) Casson invariant for certain graph manifolds.

In this paper an analysis is presented to understand the effect of non–Newtonian rheology, velocity slip at the boundary, thermal radiation, heat absorption/generation and first order chemical reaction on unsteady MHD mixed convective heat and mass transfer of Casson fluid past a wedge in the presence of a transverse magnetic field with variable electrical conductivity. The partial differential...

Abstract Dusty Casson fluids and tetra-hybrid nanofluids are complex phenomena that find their extensive uses in engineering industrial applications. For instance, dusty used gas-freezing systems nuclear power reactors. The main objective of this article is to focus on the characterization generalized two-phase free convection magnetohydrodynamic flow nanofluid among parallel microplates: fluid...

We have numerically investigated the axisymmetric motion of a finite-sized nearly occluding air bubble through a shear-thinning Casson fluid flowing in blood vessels of circular cross section. The numerical solution entails solving a two-layer fluid model--a cell-free layer and a non-Newtonian core together with the gas bubble. This problem is of interest to the field of rheology and for gas em...

From the construction of the Casson invariant of homology spheres using intersection on configuration spaces, we propose a construction of an equivariant Casson invariant for a knot K homologous to 0 in rational homology sphere M . Our construction is adapted from C. Lescop ([7]) and use the same ideas in an equivariant setting. We show that the invariant we obtain is similar to the 2-loop part...

A Mathematical model for the pulsatile blood flow through stenosed artery with the effect of body acceleration and slip velocity is proposed. Blood has been represented by casson fluid equation. Analytic expression for velocity, flow rate, wall shear stress and effective viscosity is derived. Flow variables with the change of parameters are represented graphically. The effect of pulsatility, st...

The pulsating flow of MHD Casson nanofluid through a channel with the influence thermal radiation is studied, considering in vertically upward direction, maintaining same velocity at lower wall and upper wall. perturbation technique was employed to solve dimensionless expressions temperature. effect various parameters such as Prandtl number fluid parameter on variables has been discussed.