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Effects of Dufour and fractional derivative on unsteady natural convection flow over an infinite vertical plate with constant heat and mass fluxes
Faculty
Science
Year:
2018
Type of Publication:
ZU Hosted
Pages:
245–255
Authors:
Sanaa Mohamed Kamal
Staff Zu Site
Abstract In Staff Site
Journal:
BioNanoScience Springer link
Volume:
Keywords :
Effects , Dufour , fractional derivative , unsteady natural
Abstract:
In this paper, we analyze the effects of Dufour number and fractional-order derivative on unsteady natural convection flow of a viscous and incompressible fluid over an infinite vertical plate with constant heat and mass fluxes. The fractional constitutive model is obtained using fractional calculus approach. The Caputo fractional derivative operator is used in this problem. The dimensionless system of equations has been solved by employing Laplace transformation technique. Closed form solutions for concentration, temperature and velocity are presented in the form of Wright function and complementary error function. Effects of fractional and physical parameters on temperature and velocity profiles are illustrated graphically.
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