RT Journal Article
ID 6e09ef012204ba1d
A1 Zhao, Jinhu
A1 Zheng, Liancun
A1 Zhang, Xinxin
A1 Liu, Fawang
T1 MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS
JF Heat Transfer Research
JO HTR
YR 2017
FD 2017-10-26
VO 48
IS 13
SP 1165
OP 1178
K1 mixed convection
K1 viscoelastic fluid
K1 spatial fractional derivatives
K1 modified Newton's law
K1 modified Fourier's law
AB The fractional constitutive laws are introduced into the study of mixed convection heat transfer of viscoelastic fluid along an inclined plate. Nonlinear fractional boundary layer governing equations are formulated and solved by a finite difference algorithm combined with the shifted Grünwald–Letnikov formula. The results show that the inclination angle, Prandtl number, and the temperature fractional derivative parameter have remarkable impacts on both temperature and velocity fields, while the effect of the velocity fractional derivative parameter on temperature is ignorable. With decrease of the inclination angle and Prandtl number, the temperature profile rises and the thermal boundary layer becomes thicker significantly. The average Nusselt number increases remarkably with the augmentation of the temperature fractional derivative
parameter. For larger velocity fractional derivative parameter, the intersections of velocity profiles demonstrate the strengthened viscoelasticity of the fluid. The average skin friction coefficient increases slowly first and then declines dramatically with the rise of the velocity fractional derivative parameter.
PB Begell House
LK http://dl.begellhouse.com/journals/46784ef93dddff27,5fd9943845aadd36,6e09ef012204ba1d.html