Unsteady natural convection flow of viscous fluids in a circular cylinder, due to generalized fractional thermal transport is analytically studied. The considered mathematical model based on new differential constitutive equation the flux suitable describe memory effects. To develop model, time-fractional Caputo-Fabrizio derivative used. becomes equivalent classical Fourier's law for zero value order derivative. Analytical solutions fluid temperature and velocity are determined using Laplace...

The time-fractional free convection flow of an incompressible viscous fluid near a vertical plate with Newtonian heating and mass diffusion is investigated in presence first order chemical reaction. dimensionless temperature, concentration, velocity fields, as well the skin friction rates heat transfer from to fluid, are determined using Laplace transform technique. Closed form expressions established terms Robotnov-Hartley Wright functions. similar solutions for ordinary fluids also...

Time-nonlocal generalized model of the natural convection heat transfer and nanofluid flows through a rectangular vertical channel with wall conditions Robin type are studied. The mathematical time-nonlocality is developed by considering fractional constitutive equations for shear stress thermal flux defined time-fractional Caputo derivative. power-law non-local kernel provides damping to velocity temperature gradient; therefore, transport processes influenced histories at all past present...

Some MHD unidirectional motions of the electrically conducting incompressible Maxwell fluids between infinite horizontal parallel plates incorporated in a porous medium are analytically and graphically investigated when differential expressions non-trivial shear stress prescribed on boundary. Such boundary conditions usually necessary order to formulate well-posed value problems for rate-type fluids. General closed-form established dimensionless fluid velocity, corresponding stress, Darcy’s...

The present study investigates the peristaltic flow of couple stress fluid in a non-uniform rectangular duct with compliant walls. Mathematical modeling is based upon laws mass and linear momentum. Analytic solutions are carried out by eigen function expansion method under long-wavelength low-Reynolds number approximations. features characteristics analyzed plotting graphs various values physical parameters interest. Trapping bolus scheme also presented through streamlines.

The studies of classical nanofluids are restricted to models described by partial differential equations integer order, and the memory effects ignored. Fractional nanofluids, modeled with Caputo time derivatives, able describe influence on nanofluid behavior. In present paper, heat mass transfer characteristics two water-based fractional containing nanoparticles CuO Ag, over an infinite vertical plate a uniform temperature thermal radiation, analytically graphically studied. Closed form...

General expressions for the dimensionless velocity and shear stress fields skin friction coefficient corresponding to motion due a moving plate are used provide new interesting solutions second problem of Stokes. As novelty, induced by cosine oscillations reduce classical Stokes' first if frequency becomes or tends zero. Porous magnetic effects taken into consideration and, time in literature, their combined influence is graphically underlined discussed some motions with engineering...