Pd(ii)-Complexes of a novel pyridinone based tripeptide conjugate: solution and solid state studies

The combined use of various techniques reveals the binding preference of Pd(ii) to the N donors of the title ligand paving the way for the synthesis of heterobimetallic Co/Pd(Pt) complexes with anticancer potential.

The Hermitian -Conjugate Generalized Procrustes Problem

We consider the Hermitian -conjugate generalized Procrustes problem to find Hermitian -conjugate matrix such that is minimum, where , , , and (, ) are given complex matrices, and and are positive integers. The expression of the solution to Hermitian -conjugate generalized Procrustes problem is derived. And the optimal approximation solution in the solution set for Hermitian -conjugate generalized Procrustes problem to a given matrix is also obtained. Furthermore, we establish necessary and sufficient conditions for the existence and the formula for Hermitian -conjugate solution to the linear system of complex matrix equations , , ( and are positive integers). The representation of the corresponding optimal approximation problem is presented. Finally, an algorithm for solving two problems above is proposed, and the numerical examples show its feasibility.

On the HermitianR-Conjugate Solution of a System of Matrix Equations

LetRbe annbynnontrivial real symmetric involution matrix, that is,R=R−1=RT≠In. Ann×ncomplex matrixAis termedR-conjugate ifA¯=RAR, whereA¯denotes the conjugate ofA. We give necessary and sufficient conditions for the existence of the HermitianR-conjugate solution to the system of complex matrix equationsAX=C and XB=Dand present an expression of the HermitianR-conjugate solution to this system when the solvability conditions are satisfied. In addition, the solution to an optimal approximation problem is obtained. Furthermore, the least squares HermitianR-conjugate solution with the least norm to this system mentioned above is considered. The representation of such solution is also derived. Finally, an algorithm and numerical examples are given.

Coupled Fluid/Solid Heat Transfer Computation for Turbine Discs

This paper considers the coupling of a finite element thermal conduction solver with a steady, finite volume fluid flow solver. Two methods were considered for passing boundary conditions between the two codes — transfer of metal temperatures and either convective heat fluxes or heat transfer coefficients and air temperatures. These methods have been tested on two simple rotating cavity test cases and also on a more complex real engine example. Convergence rates of the two coupling methods were compared. Passing heat transfer coefficients and air temperatures was found to give the quickest convergence. The coupled method gave agreement with the analytic solution and a conjugate solution of the simple free disc problem. The predicted heat transfer results for the real engine example showed some encouraging agreement, although some modelling issues are identified.

Forced Convective Cooling Enhancement Through a Double Layer Design

Numerical simulation of fluid flow and heat transfer during the cooling of electronic modules mounted on printed circuit boards are performed to examine the feasibility of a proposed double layer design. Conjugate solution of the two-dimensional energy equation is obtained for the incompressible flow over a number of uniformly heated blocks and the double layer board. Enhancement in heat convected from the modules along with the drop in maximum temperature of each module, obtained without increase in pressure head loss, characterizes the cooling improvement by the proposed design. Systematic calculations also provide sufficient data of the flow and temperature distributions for analyzing the cooling mechanism.