EFFECT OF DERIVATIVES ORDER ON NATURAL CONVECTION OF A CU-H2O NANOFLUID IN AN ENCLOSURE

This paper studies the effect of fractional order and how it effects on the distribution of heat (isotherms) and sites of the thermally buoyant part of the walls on the flow pattern (streamlines) in an enclosure filled with Cu-water nanofluid. The conformable fractional derivative are used to transform the dimensionless governing equations to fractional equations in dimensionless form by substituting derivatives of an integer order with fractional derivatives of order α. Equations are solved numerically by finite difference method for several values of the fractional parameter α.The results show that α control in the movement of fluid and the velocity in the cavity. Also we see that Nusselt number increases when α reduces