Current Issue : January - March Volume : 2016 Issue Number : 1 Articles : 5 Articles
This paper concerns the numerical approximation of Fractional Initial Value Problems (FIVPs). This is achieved by constructing\n...
The development of new applications of nanofluids in chemical engineering and other technologies has stimulated significant\ninterest in computational simulations. Motivated by coating applications of nanomaterials, we investigate the transient nanofluid\nflow from a time-dependent spinning sphere using laminar boundary layer theory. The free stream velocity varies continuously\nwith time. The unsteady conservations equations are normalized with appropriate similarity transformations and rendered into\na ninth-order system of nonlinear coupled, multi degree ordinary differential equations. The transformed nonlinear boundary\nvalue problem is solved using the homotopy analysis method (HAM), a semi computational procedure achieving fast convergence.\nComputations are verified with an Adomian decomposition method (ADM). The influence of acceleration parameter, rotational\nbody force parameter, Brownian motion number, thermophoresis number, Lewis number, and Prandtl number on surface shear\nstress, heat, and mass (nanoparticle volume fraction) transfer rates is evaluated. The influence on boundary layer behavior is also\ninvestigated. HAM demonstrates excellent stability and leads to highly accurate solutions....
Several mathematical ROP models were developed in the last five decades in the petroleum industry, departing from rather simple\nbut less reliable R-W-N (drilling rate, weight on bit, and rotary speed) formulations until the arrival to more comprehensive and\ncomplete approaches such as the Bourgoyne and Young ROP model (BYM) widely used in the petroleum industry. The paper\nemphasizes the BYM formulation, how it is applied in terms of ROP modeling, identifies the main drilling parameters driving\neach subfunction, and introduces how they were developed; the paper is also addressing the normalization factors and modeling\ncoefficients which have significant influence on the model. The present work details three simulations aiming to understand the\napproach by applying the formulation in a presalt layer and how some modification of the main method may impact the modeling\nof the fitting process. The simulation runs show that the relative error measures can be seen as the most reliable fitting verification\non top of R-squared. Applying normalization factors and by allowing a more wide range of applicable drillability coefficients, the\nregression could allow better fitting of the simulation to real data from 54% to 73%, which is an improvement of about 20%....
In this paper, we prove the existence of random attractors for a stochastic reaction-diffusion equation\nwith distribution derivatives on unbounded domains. The nonlinearity is dissipative for\nlarge values of the state and the stochastic nature of the equation appears spatially distributed\ntemporal white noise. The stochastic reaction-diffusion equation is recast as a continuous random\ndynamical system and asymptotic compactness for this demonstrated by using uniform estimates\nfar-field values of solutions. The results are new and appear to be optimal....
By using the Casoratian technique, we construct the double Casoratian solutions whose entries satisfy matrix equation of a\ndifferential-difference equation related to the Ablowitz-Ladik spectral problem. Soliton solutions and rational-like solutions are\nobtained from taking special cases in general solutions....
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