Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Indranil Ghosh, Gareth H. McKinley, Robert A. Brown, C. Armstrong; Deficiencies of FENE dumbbell models in describing the rapid stretching dilute polymer solutions. J. Rheol. 1 May 2001; 45 (3): 721–758. https://doi.org/10.1122/1.1357822 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Indranil Ghosh, Yong Lak Joo, Gareth H. McKinley, Robert A. Brown, C. Armstrong; A new model for dilute polymer solutions in flows with strong extensional components. J. Rheol. 1 September 2002; 46 (5): 1057–1089. https://doi.org/10.1122/1.1501963 Download citation file: Ris (Zotero) Reference Manager EasyBib...

Abstract The thermohydraulics of a single-loop pulsating heat pipe (PHP) for cryogenic applications have been simulated. 120 mm long PHP tube is made 1.5 diameter inner thickness 0.83 mm. computation fluid dynamics (CFD) analysis performed with the ansysfluent software 2D numerical study using pure nitrogen as working in binary phases. boundary condition on evaporator constant flux, while same condenser temperature. phase behavior liquid and vapor their interactions are accounted through...

The purpose of this research is to impose a semi-analytical method called the iterative chemical kinetics system, which appears in form system ordinary differential equations. To test accuracy standard method, we have applied classical fourth-order Runge–Kutta and system. It significantly notable that approximate analytical precisions made high agreement with those obtained from technique. Numerical outputs solution procedures indicate can be easily applicable large class scientific numeric...

Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances input. In present study, new iterative method (NIM) was applied cases called impulse input, step and sinusoidal input for a longer time span. main feature NIM that procedure very simple, it does not need calculate any special type polynomial or multipliers such as Adomian polynomials Lagrange’s multipliers....

The chemical kinetics model or chemistry problem is extremely well known in nonlinear science. In this paper, we implement a semi analytical technique, the New Iterative Method (NIM), for solving systems which appear form of ordinary differential equations. To examine reliability and effectiveness first solved selected system by fourth order Runge-Kutta method (RK4) then (NIM). Numerical outcomes show good agreement proposed technique terms precision compare to conventional (RK4). It notable...

This study explores the multispecies Lotka-Volterra population dynamics models, a captivating nonlinear mathematical framework with significant applications in natural sciences and environmental studies. The primary objective is to deliver precise solutions for these models using New Iterative Method (NIM). Numerical simulations are conducted on three distinct types of dynamic problems, comparing accuracy NIM that Perturbation Iteration Algorithm (PIA), existing exact solutions, traditional...

This article treats analytically and numerically to the three dimensional Rössler system. The governing equations of problem are derived from traditional Lorentz system fluid mechanics nonlinear ordinary differential (ODEs) for modelling. A semi-analytic solution is developed by using New Iterative Method (NIM) whereas numerical presented Runge-Kutta order four (RK4) scheme. comparative study analytical solutions made. results confirm clearly that two methods coincide closely both chaotic...

In this paper, a numerical study has been undertaken on the susceptible-infected-recovered (SIR) epidemic model that encompasses mechanisms of evolution disease transmission; prophylactic vaccination strategy in susceptible populations, depending infective individuals. We furnish and graphical simulation combined with explicit series solutions proposed using New Iterative Method (NIM) Modified (MNIM). The analytic-numeric failed to deliver accurate solution for large time domain. A new...

The human immunodeficiency virus (HIV) mainly attacks CD4+ T cells in the host. Chronic HIV infection gradually depletes cell pool, compromising host’s immunological reaction to invasive infections and ultimately leading acquired syndrome (AIDS). goal of this study is not provide a qualitative description rich dynamic characteristics model cells, but produce accurate analytical solutions using modified iterative approach. In research, new efficient method (NIM), coupling standard NIM Laplace...

The population dynamics models are fascinating nonlinear mathematical framework due to its noteworthy and wide applications in natural sciences environment. aim of this research is present highly accurate solutions the multispecies Lotka-Volterra dynamic system, by implementing New Iterative Method (NIM). Three distinct sorts dynamical problems numerically simulated approximate precisions NIM compared with Perturbation Iteration Algorithm (PIA), accessible exact conventional fourth-order...