This paper investigates entropy generation due to forced convection in a porous medium sandwiched between two parallel plates one of them being subjected to a uniform heat flux and the other one insulated. Our results showed that viscous dissipation will affect the entropy generation rate at the centerline of the channel since viscous dissipation is a quadratic function of velocity [1-3]. Negle...

Abstract— This paper describes the use of GC quadratic trigonometric spline interpolant for preserving the shape of monotonic data. Simple data dependent constraints are derived for shape parameters to preserve the monotonicity through monotonic data. The necessary and sufficient conditions for the monotonicity of the trigonometric quadratic interpolant have been derived. The scheme is computat...

In this note we specialize and illustrate the ideas developed in the paper [4] Families, Eta forms, and Deligne cohomology in the case of the determinant line bundle. We discuss the surgery formula in the adiabatic limit using the adiabatic decomposition formula of the zeta regularized determinant of the Dirac Laplacian in [11].

We study evolution problems of the type e∂tu+h(∂x)u = f where h is a holomorphic function on a vertical strip around the imaginary axis, and s > 0. If P is a second-order polynomial we give a complete characterization of the spectrum of the parameter-dependent operator λe +P (∂x) in Lp(R). We show the surprising result that the spectrum is independent of λ whenever | arg λ| < π. Moreover, we al...

A sign pattern matrix is a matrix whose entries are from the set {+,−, 0}. The minimum rank of a sign pattern matrix A is the minimum of the ranks of the real matrices whose entries have signs equal to the corresponding entries of A. It is conjectured that the minimum rank of every sign pattern matrix can be realized by a rational matrix. The equivalence of this conjecture to several seemingly ...