Suscripción a Biblioteca: Guest
Factor de Impacto: 0.404 Factor de Impacto de 5 años: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Imprimir: 1064-2285
ISSN En Línea: 2162-6561

# Heat Transfer Research

DOI: 10.1615/HeatTransRes.2017018876
pages 1165-1178

## MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS

Jinhu Zhao
School of Mathematics and Statistics, Fuyang Normal College, Fuyang 236037, Anhui, China
Liancun Zheng
School of Mathematics and Physics, University of Science and Technology Beĳing, Beĳing 100083, China
Xinxin Zhang
School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China; Beijing Key Laboratory of Energy Saving and Emission Reduction for Metallurgical Industry, University of Science and Technology Beijing, Beijing 100083, China
Fawang Liu
School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia

### SINOPSIS

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.

### Articles with similar content:

Radiation Effects on MHD Combined Convective Flow and Heat Transfer Past a Porous Stretching Surface
International Journal of Fluid Mechanics Research, Vol.37, 2010, issue 6
Swati Mukhopadhyay, Gorachand C. Layek, Rama Subba Reddy Gorla
NONSIMILAR SOLUTION OF UNSTEADY MIXED CONVECTION FLOW NEAR THE STAGNATION POINT OF A HEATED VERTICAL PLATE IN A POROUS MEDIUM SATURATED WITH A NANOFLUID
Journal of Porous Media, Vol.21, 2018, issue 4
Abdullah A. Abdullah, Fouad S. Ibrahim, Ali J. Chamkha
Stagnation-Point Flow Towards a Heated Stretching Sheet with Variable Fluid Viscosity
International Journal of Fluid Mechanics Research, Vol.32, 2005, issue 5
Swati Mukhopadhyay, Gorachand C. Layek, Rama Subba Reddy Gorla
DEVELOPING FORCED AND FREE CONVECTIVE FLOWS BETWEEN TWO SEMI-INFINITE PARALLEL PLATES
International Heat Transfer Conference 4, Vol.19, 1970, issue
S. D. Savkar
Free Convection Flow and Heat Transfer Along a Heated Vertical Slotted Surface
International Journal of Fluid Mechanics Research, Vol.35, 2008, issue 4
Saleem Ashgar, Rama Subba Reddy Gorla, M. A. Hossain