Consider the number of monochromatic k-cliques in an edge-two-coloring of the complete graph of order n. We determine asymptotically the best constant ck such that the number of one of the monochromatic k-cliques is less than ckn. For example, if k = 3 then c3 = μ3/6, where μ ≈ 0.65 is a root of z3−3z2 +1 = 0, and to get this c3 we translate the problem into a problem concerning the volume of a...

A turbulent axisymmetric bluff body wake is investigated using large eddy simulation to uncover key flow dynamics and structures. The effect of low-frequency high-frequency pulsed jet forcing at the point separation studied reveal underlying mechanisms involved in base pressure changes, which provide a reference for drag reduction active control.

Several experiments involving two-dimensional and axisymmetric bodies have been carried out in a Trisonic wind tunnel at supersonic speeds to investigate and analyse the measured values of base pressure and to compare them with those from the theoretical methods. The objective of the experiments was to obtain an appropriate method for processing the results of wind tunnel tests on rockets or ai...

2-D and axisymmetric Navier-Stokes equations are solved using Reiman-Roe solver with different limiters for second-order accurate schemes. The results were obtained for supersonic viscous flows over semi-infinite axisymmetric and 2-D bodies. The free stream Mach numbers were 7.78 and 16.34. The stability of Roe method with different limiters and entropy conditions were considered. The results s...