Single Phase Analysis of MHD Convective Heat Transport in NanoFluid Using Finite Difference Method


The present dissertation is an e ort to explore the heat and mass transfer in Newtonian and non-Newtonian nano fluids flowing in various physical domains. The non-Newtonian nano fluid models of Casson and micropolar fluids are utilized to highlight the thermal transport in such fluids. Homogeneous single model and Buongiorno nanofluid models are used in the study to analyze the fluid flow and heat transfer in nano fluids. Water and kerosene oil are used as the base fluids in homogeneous single phase model and the nanoparticles used are alumina, single and multiwalled carbon nanotubes. Impact of magnetic eld on the fluid flow and heat transfer is observed. The application of magnetic eld is responsible for the heat dissipation in fluid for which the Joule heating e ect is made a part of the mathematical modeling of the problems. The mathematical modeling is carried out using the continuity, linear momentum, energy and the concentration equations. The impact of microrotating structures has been made a part of the study. For the micropolar nanofluid model an additional angular momentum equation is used to observe the e ect of microstructures present within the fluid. These microstructures can move independently and rotate irrespective of the motion of the fluid. Microstructures give rise to an additional viscosity factor called the rotation viscosity. They are also responsible for the stress tensor to be antisymmetric, the impact of which can be observed in the momentum equation. To account for the induced magnetic eld e ects the Maxwell equations of electromagnetism are included. Other aspects of the study involves the impact of the shape e ects of the nanoparticles, velocity slip and convective boundary conditions. The mathematical models are transformed into ordinary di erential equations (ODEs). The system of ODEs are solved by an ecient nite di erence scheme of Keller box. The validity of Matlab code for Keller box method is acclaimed by its comparison with the already published work. The numerical results are analyzed by variation in the pertinent physical parameters appearing in the nondimentionalized ODEs using graphs and table of values.

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