Abstract-- The entropy generation of hydro-magnetic stagnation point flow of micro-polar fluid with energy transfer has been analyzed numerically. An uniform magnetic field is applied normal to the plate. The partial differential equations are transformed into ordinary differential equations using similarity transformations. The effects of magnetic parameter, material parameter, Prandtl number, Grashof number on the flow and entropy generation are discussed and plotted graphically using the MATLAB built in bvp4c solver.
Numerical procedure of solving boundary value problems using MATLAB software has been applied to study the irreversibilies caused by magnetized micropolar fluid streaming above an extending surface. The factors responsible for irreversibilities are thermal and concentration distributions, Lorentz force etc. The entropy generation rates are shown pictorially through some figures and irreversibilities are shown in tabular form.
Keywords-- MHD, Micropolar fluid, Heat transfer, Mass transfer, Exponentially stretching/shrinking sheet, Entropy generation.
The effect of homogeneous and heterogeneous reactions, as well as second-order velocity slip, on the magnetic influenced flow of nanofluid (Cu-water and MgO-water) passes above an extending surface has been examined. To alter the nature of leading equations of this problem, a new set of dimensionless variables have been employed. The resulting equations with the corresponding surface restrictions are solved using the Runge-Kutta-Fehlberg technique (RKF45) by developing a code in Maple-18. The outcomes of this investigation are presented in terms of pictorial mode with the effects of different novel flow parameters. Also, numerical values of physical quantities that are associated with this problem are set in terms of tabular mode. It is perceived that increasing the number of solid particles, the thermal and mass fractions of the nanofluid behave as an enhancing function, whereas the motion of the nanofluid is a decreasing function.
The entropy generation (second law of thermodynamics) analysis of gyrotactic microorganism flow of power-law nanofluid with slip effects and combined effect of heat and mass transfer past a stretching sheet has been studied. The flow is maintained with Lorentz force and thermal radiation. The governing nonlinear partial differential equations are transformed into ordinary differential equations using similarity transformations. The impact of different physical parameters, such as convective bouncy parameter, power-law parameter, Brownian motion parameter, thermophoresis parameter, and slip parameter for velocity and temperature on the entropy generation number (Ns) are plotted graphically with the help of MATLAB built in bvp4c solver technique. Further, the uniqueness of this study is to find out the ratios of various irreversibilities due to thermal and mass diffusions, momentum diffusion, and microorganism over the total entropy generation rate. Our results showed that the power-law parameter and Brownian motion parameter influenced entropy generation positively. The slip parameter for velocity and temperature and the thermophoresis parameter helps to reduce the entropy production.
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