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 https://www.dl.begellhouse.com/journals/46784ef93dddff27,5fd9943845aadd36,6e09ef012204ba1d.html