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1、Newtonian fluids like water,air,milk,glycerol,thin motor oil and alcohol and Non-Newtonian fluids such as paint,ketchup,blood,custard,toothpaste,shampoo and starch suspensions etc.vary tremendously in their properties an

2、d behaviors.It is immensely important to study the physical behavior of these fluids in order to enhance their performance in various industrial and manufacturing procedures.One of the pertinent non-Newtonian fluid nowad

3、ays is nanofluid which has extensive range of utility in numerous engineering problems e.g.,heat exchangers,chemical processes,cooling of electronic equipment,in nuclear reactors,safer surgery,cancer therapy,heat exchang

4、ers,micro-channel heat sinks,in designing the waste heat removal equipment,paper printing,polymer extrusion,rapid spray cooling,glass blowing,cooling of microelectronics,quenching in metal foundries and wire drawing.Thus

5、 this thesis emphasizes on the modeling of Newtonian and non-Newtonian fluids possessing distinct flow geometries and their solutions.The governing systems of equations for Newtonian and non-Newtonian fluids are of highe

6、r orders,so the solutions are not easily attainable.Four different techniques,namely homotopy analysis method,optimal homotopy analysis method,shooting method and method of lines have been employed to solve these differe

7、nt flow geometries.
  The first chapter is based on the relevant literature review,some basic laws and definitions.Variousmethods employed in the thesis are also discussed briefly.
  The second chapter incorporates

8、 steady magnetohydrodynamic flow of nanofluid between two concentric circular cylinders with the consideration of heat generation/absorption effects.The flow is assessed with respect to constant surface temperature(CST)a

9、nd constant heat flux(CHF)thermal boundary conditions.The governing nonlinear partial differential equations are remodeled into a dimensionless system of ordinary differential equations by means of suitable similarity tr

10、ansformations and solutions are obtained by employing homotopy analysis method.Comparison of computed solutions with existing results in the literature are displayed.The heat and mass transfer characteristics are analyze

11、d for various values of relevant parameters by demonstrating and discussing the plots of velocity,temperature and concentration profiles.The numerical values of skin friction coefficient,Nusselt number and Sherwood numbe

12、r for both the boundary conditions are also computed.
  The third chapter is devoted to the flow of third grade nanofluid instigated by riga plate.The theory of Cattaneo-Christov is adopted to investigate the thermal

13、and mass diffusions and the incorporation of newly eminent zero nanoparticles mass flux conditions yield important results.The governing system of equations is nondimensionalized through relevant similarity transformatio

14、ns.The behavior of affecting parameters for velocity,temperature and concentration profiles is briefly examined and graphically indicated.The values of skin friction coefficient and Nusselt number with the relevant preli

15、minary discussion have been recorded.
  In the fourth chapter,the influence of homogeneous heterogeneous reactions on the flow of single-wall and multi-wall carbon nanotube fluid along the surface of riga plate fixed

16、in a porous medium is analyzed.The riga surface which is recognized as an electromagnetic drive consisting of a sequence of constant magnets and a span wise adjusted array of alternating electrodes mounted on a flat surf

17、ace is of great importance in many demanding problems.Further,the problem is based on water and kerosene oil as two different base fluids and viscous dissipation is discussed as well.Numerical solutions for non-dimension

18、alized ordinary differential equations are assembled with the help of shooting technique and by employing the same procedure,the conduct of dominating parameters on velocity,temperature and concentration profiles is repo

19、rted.The values of skin friction coefficient and Nusselt number are determined through tabular data.
  The last chapter deals with the capillary rise dynamics for magnetohydrodynamics(MHD)fluid flow through deformable

20、 porous material in the presence of gravity effects.The modeling is performed using the mixture theory approach and mathematical manipulation yield a nonlinear free boundary problem.Due to the capillary rise action the p

21、ressure gradient in the liquid generates a stress gradient which results in the deformation of porous substrate.The capillary rise process for MHD fluid slows down as compared to the Newtonian fluid case.Numerical soluti

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