In 1985, Andrew Casson defined an invariant À(M) of an oriented integral homology 3-sphere M [C, AM]. This invariant can be thought of as counting the number of conjugacy classes of nontrivial representations nx (M) —• SU(2), in the sense that the Lefschetz number of a map counts the number of fixed points. Casson proved the following three properties of A. (i) If nx(M) = 1, then A(M) = 0. (ii)...

A numerical investigation has been carried out applying single phase approach on turbulent forced convection flow of water based Al2O3 and TiO2 nanofluids flowing through a horizontal circular pipe under uniform heat flux boundary condition applied to the wall. The effect of volume concentrations, Brownian motion and size diameter of nanoparticles on flow and heat transfer have been examined fo...

We provide a formula for the SU(3) Casson invariant for 3-manifolds given as the connected sum of two integral homology 3-spheres.

In this study we applied thermal lens (TL) technique to study the effect of size on thermal diffusivity of cadmium sulphide (CdS) nanofluid prepared by using γ-radiation method containing particles with different sizes. In TL experimental set up a diode laser of wavelength 514 nm and intensity stabilized He-Ne laser were used as the excitation source and the probe beam respectively, respectivel...

NanoFluid have amazing advantage over base cooling fluids in terms of heat transfer removal characterization. In this paper a review on potential applications of Nanofluid technology in heat transfer enhancement has been addressed. This review sheds light on the current state of the art experimental research undertaken in this field and introduces todays novel ideas to resolve the present and u...

Analysis of the extended two-hybrid nanofluid models: The Casson fluid with combination base (Ethylene Glycol) and two different nanoparticles is described in detail by Yamada-Ota Xue (CoFe 2 O 4 Mn-Zn Fe ). This considered to flow a rotating cone system, where tangential vector (x-axis), azimuthal (y-axis) normal are all part coordinate system (z-axis). thermal properties hybrid controlled sli...