Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary condition

• Published in: Applied mathematics and mechanics Vol. 36; no. 12; pp. 1593 - 1610
• Main Authors: Das, S., Chakraborty, S., Jana, R. N., Makinde, O. D.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01-12-2015; Department of Mathematics, University of Gour Banga, Maida 732103, India%Department of Applied Mathematics, Vidyasagar University, Midnapore 721102, India%Faculty of Military Science, Stellenbosch University, Saldanha 7395, South Africa
• Subjects: Applications of Mathematics; Be-jan; BOUNDARIES; Classical Mechanics; Computational fluid dynamics; CONVECTION; ENTROPY; flow; FLUID FLOW; Fluid- and Aerodynamics; FLUIDITY; generationj; heat; Heat transfer; MAGNETOHYDRODYNAMICS; MATHEMATICAL ANALYSIS; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; MHD; nanofluid; Nanofluids; number; Partial Differential Equations; source／sink; Unsteady; O345; 74F05; 65Z05; nanofluid; unsteady MHD flow; heat source/sink; TD953; Bejan number; entropy generation; 76W05
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-015-2003-6

The unsteady laminar magnetohydrodynamics （MHD） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink The unsteady governing equations are solved by a shooting method with the Runge-Kutta- Fehlberg scheme. Three different types of water based nanofluids, containing copper, aluminium oxide, and titanium dioxide, are taken into consideration. The effects of the pertinent parameters on the fluid velocity, the temperature, the entropy generation num- ber, the Bejan number, the shear stress, and the heat transfer rate at the sheet surface are graphically and quantitatively discussed in detail. A comparison of the entropy generation due to the heat transfer and the fluid friction is made with the help of the Bejan number. It is observed that the presence of the metallic nanoparticles creates more entropy in the nanofluid flow than in the regular fluid flow.