TY - JOUR
T1 - Chebyshev Spectral  Method for Unsteady Axisymmetric Mixed Convection Heat Transfer of Power Law Fluid over a Cylinder with Variable Transport Properties
AU - Niu , J.
AU - Zheng , L.
AU - Yang , Y.
AU - Shu , C.-W.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 525
EP - 540
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/540.html
KW - Unsteady mixed convection, power law fluid, temperature dependent fluid viscosity, variable thermal conductivity, Chebyshev spectral method.
AB - <p style="text-align: justify;">In this work, we study the unsteady axisymmetric mixed convection boundary layer flow and heat transfer of non-Newtonian power law fluid over a cylinder. Different from most
classical works, the temperature dependent variable fluid viscosity and thermal conductivity are
taken into account in highly coupled velocity and temperature fields. The motion of the fluid can be
modeled by a time-dependent nonlinear parabolic system in cylindrical coordinates, which is solved
numerically by using Chebyshev spectral method along with the strong stability preserving (SSP)
third order Runge-Kutta time discretization. We apply the numerical solver to problems with
different power law indices, viscosity parameter, thermal conductivity parameter and Richardson
numbers, and compute up to the steady state. The numerical solver is checked by testing the
spectral convergence of the numerical approximation to a smooth exact solution of the PDEs with
source terms. Moreover, the combined effects of pertinent physical parameters on the flow and
heat transfer characteristics are analyzed in detail.</p>