Some problems on flow and heat transfer of nanofluids

Abstract

The present thesis is related to theoretical study of nanofluid newlineflow. The formulation of mathematical model must warrant two newlineimportant aspects: (i) the model should represent a real world problem newlineand possible industrial applications (ii) the mathematical model so newlineformulated must have solutions either analytical or numerical or both. newlineThe motivation of each flow model has been spelt out clearly with newlinean emphasis to the supplementary and complementary aspects of newlineearlier studies so that the generality and validation can be newlineaccomplished. newlineThe present topic mostly related to squeezing of two parallel newlineplates as well as stretching/shrinking of the sheets. It has wide range newlineof applications in modern technology. Moreover, governing equations of newlinerelated model possess similarity solution as suggested by L. J. Crane to newlinesolve a steady two dimensional incompressible boundary layer flow newlinecaused by the stretching of a sheet which moves in its own plane. newlineThe study of Newtonian fluid flows over a stretching surface has newlineimportant application in polymer industry. For instance, a number of newlinetechnical processes relating to polymers involve the cooling of newlinecontinuous strips/filaments extruded from a die by drawing them newlinethrough a stagnant fluid with controlled cooling system and in the newlineprocess of drawing, these strips are sometimes stretched. The quality newlineof the final product depends to a large extent on the rate of heat newlinetransfer at the stretching surface. newlineThe governing equations characterizing the flow heat and mass newlinetransfer phenomena are solved numerically as well as analytically. The newlineanalytical method is based upon Laplace Transformation and a semianalytical newlinemethod, Adomain Decomposition Method and Variation newlineParameter Method. newlineThe coupled non-linear partial differential equations, governing newlinethe flow-model with appropriate boundary conditions are reduced to newlineordinary differential equations with suitable similarity newlinetransformations. Then Runge-Kutta fourth order method with shooting newlinetechnique has been applied to solve the equations. The numerica