Heat and Mass Transfer of Nanofluid over a Linear Stretching Surface with Viscous Dissipation Effect

Document Type : Full Length Research Article

Authors

1 Mathematics, JNTUH

2 Mathematics, SV University, Andhra Pradesh

3 GITAM University Hyderabad Telangana

Abstract

Boundary Layer Flow past a stretching surface with constant wall temperature, of a nanofluid is studied for heat transfer characteristics. The system of partial differential equations describing such a flow is subjected to similarity transformations gives rise to a boundary value problem involving a system of ordinary differential equations. This system is solved by a shooting method. Effect of the non-dimensional parameters on temperature and concentration profiles are displayed graphically for different values of the parameters, namely, Brownian motion parameter, Lewis number, Prandtl number and thermophoresis parameter. The reduced Nusselt number and the reduced Sherwood number are also shown in a tabular form.
The main objective of this paper is to extend the numerical investigation of boundary-layer flow of steady state, two-dimensional flow of nanofluid over a stretching surface with the impact of viscous dissipation. The ordinary differential equations are obtained by applying similarity transformation on partial differential equations. Then, the system is solved by applying the shooting techniques together with Adams-Bashforth Moulton Method. Software Fortran is used to compute the numerical results and the resulting values are indicated through graphs and tables.

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Main Subjects


[1]S. U. S. Choi. Enhancing thermal conductivity of fluids with nanoparticles. ASMEPublications-Fed, 231, 99-106 (1995).[2]J. Buongiorno. Convective transport in nanofluids. Journal of Heat Transfer, 128 (3), 240-250 (2006).
[3]A. V. Kuznetsov and D. A. Nield. Natural convective boundary-layer flow of a nanofluid past a vertical plate. International Journal of Thermal Sciences, 49(2), 243-247 (2010).
[4]W.A. Khan, I. Pop, “Boundary-layer flow of a nanofluid past a stretching sheet”, Int. J. Heat Mass Transf., 53, 2477-2483 (2010).
[5]A. Noghrehabadi, R. Pourrajab, and M. Ghalambaz, Effect of partial slip boundary condition on the ow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature," International Journal of Thermal Sciences, 54, 253-261 (2012).
[6]L. J. Crane, Flow past a stretching plate, Z.A.M.P., 21, 645-647(1970).
[7]N. Bachok, A. Ishak, and I. Pop, “Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet,” Physics letters A, 374, 4075-4079 (2010).
[8]P.S. Gupta, A.S. Gupta, “Heat and mass transfer on a stretching sheet with suction or blowing”. J. Chem. Eng. 55, 744-746 (1977).
[9]K. Vajravelu. K.V. Prasad, P.S. Dutt, “Viscous flow over a nonlinearly stretching sheet. Applied mathematics and computation, 124(3), 281-288 (2001).
[10] I. Wubshet, and S. Bandari, “MHD boundary layer flow and heat transfer of a nanofluid past permeable stretching sheet with velocity, thermal and solutal slip boundary conditions”. Computers & Fluids 75, 1–10 (2013).
[11] R. S. R. Gorla and I. Sidawi, “Free convection on a vertical stretching surface with suction and blowing,” Appl. Sci. Res., 52(3), 247-257 (1994).
[12] H. Aly Emad and A. Ebaid, “New Exact Solutions for Boundary-Layer Flow of a Nanofluid Past a Stretching Sheet”, Journal of Computational and Theoretical Nanoscience, 10, 2591–2594 (2013).
[13] W. Ibrahim, B. Shanker, “MHD Boundary Layer low and Heat Transfer of a Nanofluid Over Non-Isothermal Stretching Sheet”, Journal of Heat Transfer, 136 (2014).
[14] K. Vajravelu, K.V. Prasad, Jinho Lee, Changhoon Lee, I. Pop, Robert A. Van Gorder, “Convective heat transfer in the flow of viscous Age water and Cue water nanofluids over a stretching surface”, Int. J. Therm. Sci. 50, 843-851 (2011).
[15] T. Hayat, T. Javed, Z. Abbas, “MHD flow of a micropolar fluid near a stagnation point towards a non-linear stretching surface”, Nonlinear Anal. Real World Appl. 10, 1514- 1526 (2009).
[16] W. A. Khan and R. S. R. Gorla, “Heat and Mass Transfer in Power-Law Nanofluid Over a Non-Isothermal Stretching Wall with Convective Boundary Condition,” ASME J. Heat Transfer, 134, 112001(2012).
[17] M. Subhas Abel, Magnetic Field Effect on Mixed Convection Flow in a Nanofluid under convective boundary condition, International Journal of Mechanical Engineering and Technology, 6(4), 72-86 (2015).
[18] M. Hassan, M. Mohammad Tabar, H. Nemati,G. Domairry, F. Noori ,An analytical solution for boundary layer flow of a nanofluid past a stretching sheet, International Journal of Thermal Sciences 50, 2256-2263 (2011).
[19] X. Wang and A. S. Mujumdar, “A Review on Nanofluids-Part I: Theoretical and Numerical Investigation,” Braz. J. Chem. Eng., 25(04), 613–630 (2008)