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This thesis is regarding the development of mathematical flow models and analytical techniques for Newtonian and nan-Newtonian nanofluids containing different nanoparticles on stretching sheets and thin film flows on stretching cylinder and starching disc. For stretching sheet, a mathematical model of MHD three-dimension rotating flow of nanofluids is analyzed. SWCNTs are utilized as nano-sized materials while water is used as a based fluid. In this study the heat exchange phenomena deliberated subject to thermal radiation, Brownian motion and thermophoresis. Now for horizontal stretching cylinder, a mathematical formulation of thin film of 2 3 2 Al O H O g − and 2 3 2 6 2 Al O C H O g − nanoliquids is considered. The effect of effective Prandtl number, viscosity and thermal conductivity is discussed. For a starching disc of same problem, an unsteady thin film flow of 2 3 2 Al O H O g − and 2 3 2 6 2 Al O C H O g − nanoliquids is developed. Similarly, another problem of Darcy Forchheimer 2D thin film flow of nanofluids through unsteady stretchable sheets is developed. In this analysis water base SWCNTs are accounted as a nanoparticle. The transformation of nonlinear PDEs arising in these problems into strong ODEs is formed through appropriate variables. HAM techniques have been proposed to solve these problems while the solution of problem three are carried out by using OHAM scheme. In addition, in all these problems the effect of some model flow parameters on velocity and heat are calculated and studied through graphs. The certain physical factors of these problems skin friction coefficient (surface drag force) and Nusselt number (rate of heat transfer) are derived and present through tables.
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