Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 3, Pages 1451-1467Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.04.004
Keywords
Non-Newtonian nanofluid; Variable viscosities; MHD; Heat transfer analysis; Analytical solutions
Funding
- United State Education Foundation Pakistan
- CIES USA
- Higher Education Commission
- PCST of Pakistan
- NRPU
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This article examines the magnetohydrodynamic (MHD) flow of non-Newtonian nanofluid in a pipe. The temperature of the pipe is assumed to be higher than the temperature of the fluid. In particular two temperature dependent viscosity models, have been considered. The nonlinear partial differential equations along with the boundary conditions are first cast into a dimensionless form and then the equations are solved by homotopy analysis method (HAM). Explicit analytical expressions for the velocity field, the temperature distribution and nano concentration have been derived analytically. The effects of various physical parameters on velocity, temperature and nano concentration are discussed by using graphical approach. (C) 2012 Elsevier Inc. All rights reserved.
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