in order to increase the efficiency of the conveyance of the granular solids, a new experimental set-up is designed. the test rig has longitudinal trapezoidal slots in its conveying pipes. through experimentation, a correlation for friction factor in terms of solid mass flow rate, fluid flow rate and froude number is presented. it is shown that the mixture friction factor for pipes with inner t...

Integrating III–V gain elements in the silicon photonics platform via selective area heteroepitaxy (SAH) would enable large-scale and low-cost photonic integrated circuits. Here, we demonstrate antiphase boundary (APB)-free gallium arsenide (GaAs) microridges selectively grown on flat-bottom (001) (Si) inside a recess. This approach eliminates need for etching patterned Si to form trapezoid or ...

It is well known that the trapezoidal rule converges geometrically when applied to analytic functions on periodic intervals or the real line. The mathematics and history of this phenomenon are reviewed and it is shown that far from being a curiosity, it is linked with computational methods all across scientific computing, including algorithms related to inverse Laplace transforms, special funct...

Trapezoidal labyrinth weirs offer significant flow magnification for the available width of approach channel and that of the downstream chute. These types of weirs may find great utility and hence will have to be designed and provided for river linking projects. There are many factors such as head to crest height ratio, angle of side walls, vertical aspect ratio, apex width and approach and con...

In the present paper, the study of fully fuzzy linear fractional programming problem (FFLFPP) using graded mean integration representation method is discussed where all the parameters and variables are characterized by trapezoidal fuzzy numbers. A computational algorithm has been presented to obtain an optimal solution by applying simplex method. To demonstrate the applicability of the proposed...

We prove that the property of being closed (resp., rich, privileged trapezoidal, balanced) is expressible in first-order logic for automatic (and some related) sequences. It therefore follows that the characteristic function of those n for which an automatic sequence x has a closed (resp., privileged, rich, trapezoidal, balanced) factor of length n is automatic. For privileged words this requir...

In this paper, application of the complexity reduction approach based on halfand quarter-sweep iteration concepts with Jacobi iterative method for solving composite trapezoidal (CT) algebraic equations is discussed. The performances of the methods for CT algebraic equations are comparatively studied by their application in solving linear Fredholm integral equations of the second kind. Furthermo...

In this paper, Symmetric Trapezoidal Intuitionistic Fuzzy Numbers (STIFNs) have been introduced and their desirable properties are also studied. A new type of intuitionistic fuzzy arithmetic operations for STIFN have been proposed based on ( , )   -cuts. A numerical example is considered to elaborate the proposed arithmetic operations. These operations find applications in solving linear prog...