Free-Convection Laminar Boundary Layers in Oscillatory Flow

Unsteady Mixed Convective Flow Confined between Vertical Wavy Wall and Parallel Flat Wall Filled with Porous and Fluid Layer

“…The continuity of velocity, pressure gradient, temperature, shear stress, and heat flux across the interface is assumed. We notice from the differential equations (29) to (32) and the boundary conditions (41) and (42) that the nondimensional (zeroth-order) temperature T ( j) 0 of the fluid is affected by width ratio h and conductivity ratio k in both regions and that the nondimensional (zeroth-order) velocity u ( j) 0 of the fluid is affected by Grashof number Gr, porous parameter σ, and viscosity ratio m, in addition to width ratio h and conductivity ratio k, in both regions. Prandtl number, wave number, amplitude parameter, product of nondimensional wave number and space coordinate, and product of nondimensional frequency parameter and time are fixed as 0.7, 0.02, 0.02, 1.570796, and 0.785398, respectively, for all the computations, whereas Grashof number, viscosity ratio, width ratio, conductivity ratio, and frequency parameter are fixed as 5, 1, 1, 1, and 10, respectively, for all the graphs except the varying one.…”

“…Gill and Casal [28] obtained the similarity solution of the boundary-layer equations for steady flow over a semi-infinite horizontal plate by employing a series expansion of the stream function, which gives the perturbation of a basic forced convection flow due to buoyancy. Thus, the basic flow is entirely due to buoyancy forces over a horizontal plate for which the temperature boundary on a flat plate is analyzed by Nanda and Sharma [29]. Muhuri and Maiti [30] analyzed the steady free convection from a semi-infinite horizontal plate when the plate temperature varied periodically about a constant mean.…”

“…of Eqs (29). to(32) subjected to boundary and interface conditions(41) and(42) has been solved exactly for u and the set of Eqs.…”

Effect of Fluctuating Surface Temperature on Natural Convection Flow Over Cylinders of Elliptic Cross Section~!2009-09-14~!2009-12-05~!2010-05-11~!

“…These oscillatory flow and heat transfer problems are important in engineering because such flows occur often in practice. Similar analysis, using the Karman-Paulhausen approximate integral method, effect of surface temperature oscillation on the oscillating natural convection flow from a vertical surface had been made by Nanda and Sharma [11]. They consider skin friction and the rate of heat transfer for both low and high frequency.…”

Mixed Convection in an Inclined Channel Filled with Porous Material Having Time-Periodic Boundary Conditions: Steady-Periodic Regime

“…Resonance phenomenon was predicted in the works of Lage and Bejan (1993), Antohe and Lage (1996) and Kwak et al (1998) in which the heat flux through a vertical surface fluctuates with an amplitude that, for fixed values of the other parameters, reaches a maximum for a given value of angular frequency called the resonance frequency. Nanda and Sharma (1963) were also able to circumvent the limitation of the result for only small amplitude by separating the temperature and velocity into steady and oscillatory components. Barletta and Zanchini (2003) studied analytically the time-periodic laminar mixed convection in an inclined channel with the temperature of one wall constant and the other wall a sinusoidal function of time and ignoring viscous dissipation.…”