Unsteady Dean flow formation in an annulus with partial slippage: A riemann-sum approximation approach

Entropy Generation In an Unsteady MHD Channel Flow With Navier Slip and Asymmetric Convective Cooling

The combined effects of magnetic field, Navier slip and convective heating on the entropy generation in a flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel plates under a constant pressure gradient have been examined. Both the lower and upper plates of the channel are subjected to asymmetric convective heat exchange with the ambient fluid. T...

AXIAL FLOW OF CASSON PLASTIC MODEL IN ANNULUS WITH A ROTATING INNER CYLINDER

Stable and accurate pressure approximation for unsteady incompressible viscous flow

How to properly specify boundary conditions for pressure is a longstanding problem for the incompressible Navier–Stokes equations with no-slip boundary conditions. An analytical resolution of this issue stems from a recently developed formula for the pressure in terms of the commutator of the Laplacian and Leray projection operators. Here we make use of this formula to (a) improve the accuracy ...

Partial Euler Products as a New Approach to Riemann Hypothesis

Abstract. In this paper, we show that Riemann hypothesis (concerning zeros of the zeta function in the critical strip) is equivalent to the analytic continuation of Euler products obtained by restricting the Euler zeta product to suitable subsets Mk, k ≥ 1 of the set of prime numbers. Each of these Euler product defines so a partial zeta function ζk(s) equal to a Dirichlet series of the form ∑ ...

Sediment Transport in Unsteady Flow Conditions

Sediment transport under unsteady flow condition is studied experimentally. In the first step, sediment transport under different steady flow conditions was measured and an empirical equation was derived for its calculation. In the next step, two continuous and three stepwise hydrographs were generated in the flume, and their sediment transport rate was measured. The continuous hydrographs were...