Melting Heat Transfer in Boundary Layer Stagnation-Point Micropolar Fluid Flow towards a Stretching Sheet in Porous Medium with Heat Absorption

Khilap Singh, Manoj Kumar, A. K. Pandey

Abstract


The present investigation deals with the study of fluid flow and heat transfer characteristics occurring during the melting process due to a stretching surface in micro-polar fluid with heat absorption. The governing equations representing fluid flow have been transformed into coupled nonlinear ordinary differential equations using similarity transformations. The equations thus obtained have been solved numerically using         Runge–Kutta–Fehlberg method with shooting technique. The effects of the melting parameter, micro-polar parameter, heat absorption parameter and stretching parameter on the fluid flow and heat transfer characteristics have been tabulated, illustrated graphically and discussed in detail.

Keywords


Boundary layer, Heat absorption, Melting heat transfer, Micropolar fluid, Stagnation-point, Stretching sheet.

References


Eringen, A.C. Theory of micropolar fluid, Jour of mathematics and Mechanics. 16: 1-18, 1966.

Eringen, A.C. Theory of Thermomicrofluids, Journal of mathematical analysis and application. 38: 480 – 496, 1972.

Eringen, A.C. Simple micropolar fluids, International Journal of Engineering Science, 2: 205-217, 1964.

Das, K. Slip effects on MHD mixed convection stagnation point flow of a micropolar fluid towards a shrinking vertical sheet, Computers and Mathematics with Applications. 63: 255-267, 2012.

Nadeem, S., Hussain, M., Naz, M. MHD stagnation flow of a micropolar fluid through a porous medium, Meccanica. 45: 869–880, 2010.

Ishak, A., Nazar, R., Pop, I. Heat transfer over a stretching surface with variable heat flux in micropolar fluids, Phys Lett A. 372: 559–561, 2008.

Wang, C.Y. Stagnation flow towards a shrinking sheet, Int Jour of Non-linear Mech. 43: 377-382, 2008.

Łukaszewicz .G, Micropolar fluids: theory and application, Basel, Birkhäuser, 1999.

Tien, C., Yen, Y.C. The effect of melting on forced convection heat transfer, J Appl. Meteorol. 4: 523–527, 1965.

Epstein, M., Cho, D.H. Melting heat transfer in steady laminar flow over a flat plate, Jour. of Heat Transfer. 98: 531–533, 1976.

Ishak, A., Nazar, R., Bachok, N., Pop, I. Melting heat transfer in steady laminar flow over a moving surface, Heat Mass Transfer. 46: 463–468, 2010.

Rosali, H., Ishak, A., Pop, I. Micropolar fluid flow towards a stretching / Shrinking sheet in a porous medium with suction, Int Communications in Heat and Mass Transfer 39: 826–829, 2012.

Yacob, N.A., Ishak, A., Pop, I. Melting heat transfer in boundary layer stagnation – point flow towards a stretching /shrinking sheet in a micropolar fluid, Computer & Fluids 47: 16–21, 2011.

Cheng, W.T., Lin, C.H. Transient mixed convective heat transfer with melting effect from the vertical plate in a liquid saturated porous medium, Int J Eng Sci. 44: 1023–1036, 2006.

Das, K. Radiation and melting effects on MHD boundary layer flow over a moving surface, Ain Shams Engineering Journal, 5(4), 1207-1214, 2014.

Cortell, R. Fluid flow and radiative nonlinear heat transfer over a stretching sheet, Journal of King Saud University – Science. 26: 161–167, 2014.

Mahmoud, M.A.A., Waheed, S.E. MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity, Journal of the Egyptian Mathematical Society. 12: 20–27, 2012.

Bataller, R.C. Effects of heat source/sink, radiation and work done by deformation on flow and heat transfer of a viscoelastic fluid over a stretching sheet, Computers and Mathematics with Applications 53: 305–316, 2007.

Ravikumar, V., Raju, M.C., Raju, G.S.S. Combined effects of heat absorption and MHD on convective Rivlin-Ericksen flow past a semi-infinite vertical porous plate with variable temperature and suction, Ain Shams Engineering Journal, 5(3), 867-875, 2014.

Ahmed, M.S., Mohamed, A.E. Effect of Hall currents and chemical reaction on hydro magnetic flow of a stretching vertical surface with internal heat generation/absorption, Applied Mathematical Modelling. 32: 1236–1254, 2008.




DOI: http://dx.doi.org/10.29218/srmsmaths.v2i01.27

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