mhd boundary layer flow of two phase model nanofluid over a vertical plate is investigated both analytically and numerically. a system of governing nonlinear partial differential equations is converted into a set of nonlinear ordinary differential equations by suitable similarity transformations and then solved analytically using homotopy analysis method and numerically by the fourth order rung...

ultimate limits of an open pit, which define its size and shape at the end of the mine’s life, is the pit with the highest profit value. a number of algorithms such as floating or moving cone method, floating cone method ii and the corrected forms of this method, the korobov algorithm and the corrected form of this method, dynamic programming and the lerchs and grossmann algorithm based on grap...

in this paper, the (m+1)-step adams-bashforth, adams-moulton, and predictor-correctormethods are used to solve rst-order linear fuzzy ordinary dierential equations. the conceptsof fuzzy interpolation and generalised strongly dierentiability are used, to obtaingeneral algorithms. each of these algorithms has advantages over current methods. moreover,for each algorithm a convergence formula can b...

Nowadays, numerical models have great importance in every field of science, especially for solving the nonlinear differential equations, partial differential equations, biochemical reactions, etc. The total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is simulated by the Runge-Kutta of order four (RK4) and by nonstandard finite difference (NSFD) method. A...

the effect of boundary conditions on the solution of the inverse problem of identifying the geometry and location of a cavity inside an elastic solid body using displacement measurements obtained from a tension test is investigated. the boundary elements method (bem) coupled with the genetic algorithm (ga) and the conjugate gradient method (cgm) are implemented in this identification problem. a...

the adsorption study was conducted on three japanese soils with different soil properties to characterize the adsorption pattern of arsenic (as). double tube method was used to find out the effect of soil moisture levels on as adsorption. for this study, besides double tube method, conventional batch method also was used. the as adsorption showed two phase kinetics. an initial and rapid adsorpt...

in this paper wave transformation in a submerged sloped breakwater and its hydraulic performance was simulated by developing a numerical model in fortran. the code was established by combining porous flow and a two-phase model using vof method. modified navier-stokes and k-ε equations implemented to the model to simulate the flow in porous media. cut cell method was modified to simulate fluid t...