Computations of similarity solutions on boundary layer flows for different geometries

Abstract

This thesis presents a detailed numerical study on boundary layer flows newlinefor different geometries. Similarity transformation approach is adopted to newlineanalyze the flow field behaviour. In each Chapter, the investigations of newlinenumerical findings are depicted via profiles and comparisons are corroborated newlinewith previously published results. newlineThe simultaneous effects of velocity, thermal and concentration diffusions in newlinea mixed convection flow over a vertical semi-infinite moving surface with nonuniform newlinethickness are addressed, with a focus on the effects of boundary wall newlinethickness and velocity power index parameters. To acquire dual solutions for the newlinesystem of nonlinear coupled ordinary differential equations, a shooting technique is newlineused. Because of the non-flatness of the moving surface, the significant impacts on newlinethe boundary layer development along the boundary surface have been noticed. newlineBoth, upper and lower branch, solutions are presented to display the effects of the newlineboundary wall thickness and the velocity power index on the flow, thermal and newlineconcentration fields. newlineThe impact of steady two-dimensional boundary layer for the mixed newlineconvection nanofluids flow over a moving wedge has been examined. Nanofluids, newlinecomposed of nanoparticles such as copper Cu, aluminium oxide Al2O3 and titanium newlineoxide TiO2 with water are employed. For better understanding of the parameters newlinegoverning the flow and heat transfer attributes, the nonlinear coupled partial newlinedifferential equations are transformed into nonlinear coupled ordinary differential newlineequations by similarity conversion. Shooting technique is applied to get dual newlinesolutions. The results shown that skin friction coefficient and heat transfer rate at newlinethe surface are higher for Cu than for other types of nanoparticles newline