We show that the SU(3) Casson invariant for spliced sums along certain torus knots equals 16 times the product of their SU(2) Casson knot invariants. The key step is a splitting formula for su(n) spectral flow for closed 3-manifolds split along a torus.

Nanofluids are liquids containing suspensions of solid nanoparticles and have attracted considerable attention because they undergo substantial mass transfer and have many potential applications in energy technologies. Most studies on nanofluids have used low-ionic-strength solutions, such as water and ethanol. However, very few studies have used high-ionic-strength solutions because the aggreg...

This article mainly concerns theoretical research on entropy generation influences due to heat transfer and flow in nanofluid suspensions. A conventional nanofluid of alumina-water (Al2O3-H2O) was considered as the fluid model. Due to the sensitivity of entropy to duct diameter, miniand microchannels with diameters of 3 mm and 0.05 mm were considered, and a laminar flow regime was assumed. The ...

It is necessary to control the temperature of solar cells for enhancing efficiency with increasing concentrations of multiple photovoltaic systems. A heterogeneous two-phase model was established after considering the interacting between temperature, viscosity, the flow of nanofluid, and the motion of nanoparticles in the nanofluid, in order to study the microchannel heat sink (MCHS) using Al2O...

Numerical simulation and experimental investigation were used for study of laminar forced convective heat transfer of Al2O3/water nanofluid. Single phase model with temperaturedependent properties was employed for numerical simulation of transport phenomena in nanofluid. The results of experiments and computer-aided simulation indicated remarkable enhancement of convective heat transfer of base...

We give a simple explicit construction of pseudo-Anosov mapping classes using an improvement of the homological criterion of Casson–Bleiler.

In the present study, the effects of substituting sucrose with maltitol and xylitol as bulking agents in compound milk chocolate were examined in relation to their physico-chemical, rheological and sensory characteristics. Standard reference chocolate was made using sucrose. The Casson mathematical model was the best fitting model for predicting rheological properties. Compared with chocolate s...

Thermal performance of magnetically driven Casson nanofluid over a nonlinear stretching sheet under the influence entropy, activation energy and convective boundary conditions was analyzed numerically, employing quasi-linearization method (QLM). The collective behavior thermophoretic diffusion Brownian motion along with special effects viscous dissipation, thermal radiation, heat generation jou...

The solar gravity heat pipe has been widely used for solar thermal water heating because of its high efficient heat transfer and thermal diode characteristics. Operated on fluctuant and low intensity solar radiation conditions, a solar gravity heat pipe may frequently start up. This severely affects its solar collection performance. To enhance the thermal performance of the solar gravity heat p...

We derive a simple closed formula for the SL2(C) Casson invariant for Seifert fibered homology 3-spheres using the correspondence between SL2(C) character varieties and moduli spaces of parabolic Higgs bundles of rank two. These results are then used to deduce the invariant for Dehn surgeries on twist knots by combining computations of the Culler-Shalen norms with the surgery formula for the SL...