Title
Numerical Simulations of Heat and Mass Transfer Flows utilizing Nanofluid
Abstract
In this dissertation, the nano fluid flow with the heat and mass transfer for various models of fluids is analyzed. The flows are induced over stretching sheet and two in nite plates. The important quantities such as magneto hydrodynamics, viscous dissipation, Joule heating, chemical reaction, Brownian motion and thermophoresis are incorporated for physical consideration. The MHD Je rey nano fluid flow and heat transfer over a stretching sheet considering the Joule heating and viscous dissipation is analyzed. The motion of a non-Newtonian tangent hyperbolic nano fluid past a stretching sheet is also investigated. Further, the e ects of chemical reaction, viscous dissipation and Joule heating are also contemplated for the problem. Magnetic eld is implemented in vertical direction under the assumption of low magnetic Reynolds number. Moreover, an elaborated evaluation is presented for the strati ed MHD Je rey nano fluid flow towards a stretching surface in the presence of gyrotactic micro-organisms. And nally the numerical solution of rotating flow of a nano fluid over a stretching surface in the presence of magnetic fi eld. To model the system of partial di erential equations, di erent emerging laws of Physics are used. To convert the system of partial di erential equations into the ordinary di erential equations, some suitable transformations named as the similarity transformations are utilized. Further, utilizing the Keller box method and shooting technique, the system of ordinary di erential equations has been solved with the help of the computational software MATLAB to compute the numerical results. The numerical solution obtained for the velocity, temperature, concentration and density of the motile micro-organisms pro les has been presented through graphs for di erent choices of the physical parameters. The numerical values of the skin friction, Nusselt, Sherwood and local density number of the motile micro-organisms have also been presented and analyzed through tables. A comparison with the previously available literature in limiting cases is also performed to strengthen the reliability of the code. To further strengthen the reliability of our MATLAB code, the results presented in the previously published articles are reproduced successfully.