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Effect of slip on entropy generation in a single rotating disk in MHD flow
Authors:Aytac Arikoglu   Ibrahim Ozkol  Guven Komurgoz
Affiliation:aIstanbul Technical University, Faculty of Aeronautics and Astronautics, Aeronautical Engineering Department, Maslak, TR-34469 Istanbul, Turkey;bIstanbul Technical University, Faculty of Electrical and Electronics Engineering, Electrical Engineering Department, Maslak, TR-34469 Istanbul, Turkey
Abstract:In the present study, the effect of slip on entropy generation in magnetohydrodynamic (MHD) flow over a rotating disk is investigated by semi-numerical analytical solution technique. The nonlinear governing equations of flow and thermal fields are reduced to ordinary differential equations by the Von Karman approach, then solved via differential transform method (DTM), a recently-developed, powerful analytical method. Related entropy generation equations are derived and nondimensionalized using geometrical and physical flow field-dependent parameters. For a rotating surface the form of slip introduced into the governing equations is rarefaction. For comparison, slip and no-slip regimes in the range 0.1 > Kn > 0 and their interaction with magnetic effects are investigated by minimum entropy generation. While minimizing entropy generation, equipartitioning is encountered between fluid friction irreversibility and Joule dissipation.
Keywords:Entropy generation minimization   EGM   Slip flow   MHD flow   Rotating disk   Genetic algorithms   Equipartition of entropy production (EoEP)   Second law of thermodynamics
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