Boundary layer Viscous Flow of Nanofluids and Heat Transfer Over a Nonlinearly Isothermal Stretching Sheet in the Presence of Heat Generation/Absorption and Slip Boundary Conditions

Ramya, Dodda; Srinivasa Raju, R.; Anand Rao, J.; Rashidi, M. M.

Boundary layer Viscous Flow of Nanofluids and Heat Transfer Over a Nonlinearly Isothermal Stretching Sheet in the Presence of Heat Generation/Absorption and Slip Boundary Conditions

Document Type : Research Paper

Authors

Dodda Ramya ¹

R. Srinivasa Raju ²

J. Anand Rao ¹

M. M. Rashidi ³^{, 4}

¹ Department of Mathematics, University College of Science, Osmania University, Hyderabad, 500007, Telangana State, India

² Department of Engineering Mathematics, GITAM University, Hyderabad Campus, Rudraram, 502329, Medak (Dt), Telangana State, India

³ Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, China

⁴ ENN-Tongji Clean Energy Institute of Advanced Studies, Shanghai, China

Abstract

The steady two-dimensional flow of a viscous nanofluid of magnetohydrodynamic (MHD) flow and heat
transfer characteristics for the boundary layer flow over a nonlinear stretching sheet is considered. The
flow is caused by a nonlinear stretching sheet with effects of velocity, temperature and concentration
slips. Problem formulation is developed in the presence of heat generation/absorption and
suction/injection parameters on non-linear stretching sheet. The resulting governing equations are
converted into a system of nonlinear ordinary differential equations by applying a suitable similarity
transformation and then solved numerically using Keller-Box technique. Convergences of the derived
solutions are studied. The effects of the different parameters on the velocity, temperature, and
concentration profiles are shown and discussed. Numerical values of local skin-friction coefficient, local
Nusselt number and Sherwood number are tabulated. It is found that the velocity profiles decreases,
temperature and concentration profiles increases with increasing of velocity slip parameter, and the
thermal boundary layer thickness increases with increasing of Brownian motion and thermophoresis
parameters.

Keywords

nanofluid

MHD

Slip effects

Heat generation/absorption

Suction/Injection