Convection Flow of MHD Couple Stress Fluid in Vertical Microchannel with Entropy Generation

Entropy generation of fully developed steady, viscous, incompressible couple stress fluid in a vertical micro-porous-channel in the presence of horizontal magnetic field is analysed in this work. The governing equations for the flow are derived, and nondimensionalised and the resulting nonlinear ordinary differential equations are solved via a rapidly convergent technique developed by Zhou. The solution of the velocity and temperature profiles are utilised to obtain the flow irreversibility and Bejan number. The effects of couple stresses, fluid wall interaction parameter (FSIP), effective temperature ratio (ETR), rarefaction and magnetic parameter on the velocity profile, temperature profile, entropy generation and Bejan number are presented and discussed graphically

A Novel Approach For Solving Quadratic Riccati Differential Equations

In this paper, a numerical technique-differential transform method (DTM) is presented for the solution of Riccati differential equations. Three illustrative examples involving both constant and variable coefficients are solved. The DTM applied provides results that converge rapidly to the exact solution. To see the accuracy of this method, the results are compared with the exact solutions

Patterns obtained from digit and iterative digit sums of Palindromic, Repdigit and Repunit numbers, its variants and subsets

The digit and iterative digit sums of Palindromic numbers, their primes and squares, repdigit, repunit, their squares and cubes produced different patterns and sequences. The digit and iterative digits sum of the Palindromic, repdigits and repunit numbers are the same but with different pattern

Variational Iteration Method for Natural Frequencies of a Cantilever Beam with Special Attention to the Higher Modes

In this work, the variational iteration method (VIM) is used to calculate the natural frequencies of a cantilever prismatic beam especially for the higher modes of vibration. The solutions yielded by VIM are validated by comparing with the natural frequencies of the said beam for lower modes earlier obtained using analytical method and the differential transform metho

Modified CiteScore metric for reducing the effect of self-citations

Elsevier B.V. launched a scholarly metric called CiteScore (CS) on December 8, 2016. Up till then, the journal impact factor (JIF) owned by Clarivate Analytics (Thomson Reuters) was the only trusted metric for journal evaluation. As noted by Teixeira da Silva & Memon (2017), CS offers some observed advantages over JIF. The potentials of CiteScore as a viable metric are still emerging. The paper briefly introduces a variant of the CiteScore that can be used in quantifying the impact of researchers and their institutions. The ultimate aim is to reduce the numerical effect of self-citations (SC) in academic publishing. The reduction is designed to discourage SC but not diminishing it. The reasons for the adopted methodology are discussed extensively. The proposed modified CiteScore metric is simple, transparent and constructed to ensure integrity in academic publication. The result showed that the proposed modified CiteScore is a better option than the traditional CiteScore and hence, can be applied in impact determination, the ranking of authors and their institutions, and evaluation of scientists for a grant award. The approach used in this paper is entirely new in two ways; first, a metric similar to journal ranking is proposed for ranking authors and their institutions and secondly, disproportionate scores are awarded to different sources of citations to reduce perceived dishonesty in academic publications. In conclusion, this research is one of very few to report the effect of SC on CiteScore. Hitherto, the effect of SC has always been on the journal impact factor (IF)

Designing a Variable Step Size For the Successful Implementation of P(EC)m and P(EC)mE

The successful implementation of P(EC)m and P(EC)mE mode otherwise known as block predictor-corrector method is soley dependent on the principal local truncation error of both predictor and corrector methods of the same order. The development of this platform is built on formulating a class of P(EC)m and P(EC)mE mode that possesses the same order but different k-step. Nevertheless, designing of a variable step size on P(EC)m and P(EC)mE mode attracts a lot of computational benefits which guarantees convergence, step size control, tolerance level and error minimization

Random number datasets generated from statistical analysis of randomly sampled GSM recharge cards

In this article, a random number of datasets was generated from random samples of used GSM (Global Systems for Mobile Communications) recharge cards. Statistical analyses were performed to refine the raw data to random number datasets arranged in table. A detailed description of the method and relevant tests of randomness were also discussed

Influence of inclined magnetic field and chemical reaction on the entropy generation of Blasius and Sakiadis flows

This work considers the well-known laminar boundary layer flows; about a flat-plate in a uniform stream of fluid (Blasius flow) and about a moving plate in a quiescent am�bient fluid (Sakiadis flow) both under a convective surface boundary condition. Entropy generation due to the effect of angle of inclination, magnetic parameter, chemical reaction parameter and Schmidt number on the flows is investigated. The third order partial dif�ferential equations governing the flows are reduced to ordinary differential equations by suitable similarity variables. The obtained equations are tackled by the Runge-Kutta fourth order method with shooting technique and the results are employed to calculate entropy generation. The solution of Blasius flow is compared with the works in literature and are found to be in excellent agreement. Entropy generation can be minimized by increasing the magnetic parameter (M), chemical reaction parameter (R) and Schmidt number (Sc) for Blasius flow. Magnetic parameter reduces entropy generation for Sakiadis flow while other parameters such as angle of inclination, chemical reaction parameter and Schmidt number boost fluid irreversibility