Effect of viscous dissipation on natural convection flow between vertical parallel plates with time-periodic boundary conditions

PurposeThe purpose of this paper is to investigate the impact of time-periodic thermal boundary conditions on natural convection flow in a vertical micro-annulus.Design/methodology/approachAnalytical solution in terms of Bessel’s function and modified Bessel’s function of order 0 and 1 is obtained for velocity, temperature, Nusselt number, skin friction and mass flow rate.FindingsIt is established that the role of Knudsen number and fluid–wall interaction parameter is to decrease fluid temperature, velocity, Nusselt number and skin friction.Research limitations/implicationsNo laboratory practical or experiment was conducted.Practical implicationsCooling device in electronic panels, card and micro-chips is frequently cooled by natural convection.Originality/valueIn view of the amount of works done on natural convection in microchannel, it becomes interesting to investigate the effect that time-periodic heating has on natural convection flow in a vertical micro-annulus. The purpose of this paper is to examine the impact of time-periodic thermal boundary conditions on natural convection flow in a vertical micro-annulus.

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Numerical simulation of natural convection in an inclined porous cavity under time-periodic boundary conditions with a partially active thermal side wall

RSC Advances ◽

10.1039/c6ra28333k ◽

2017 ◽

Vol 7 (28) ◽

pp. 17519-17530 ◽

Cited By ~ 6

Author(s):

Feng Wu ◽

Gang Wang

Keyword(s):

Numerical Simulation ◽

Natural Convection ◽

Boundary Conditions ◽

Periodic Boundary ◽

Side Wall ◽

Periodic Boundary Conditions ◽

Porous Cavity ◽

Thermal Boundary Conditions ◽

The Right ◽

Time Periodic

Natural convection in an inclined porous cavity with positively or negatively inclined angles is studied numerically for time-periodic boundary conditions on the left side wall and partially active thermal boundary conditions on the right wall.

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A Pseudospectral Analysis of Laminar Natural Convection Flow and Heat Transfer Between Two Inclined Parallel Plates

Heat Transfer, Volume 1 ◽

10.1115/imece2006-14302 ◽

2006 ◽

Cited By ~ 2

Author(s):

Serkan Kasapoglu ◽

Ilker Tari

Keyword(s):

Heat Transfer ◽

Natural Convection ◽

Boundary Conditions ◽

Boussinesq Approximation ◽

Temperature Fields ◽

Convection Flow ◽

Parallel Plates ◽

Natural Convection Flow ◽

Constant Wall Temperature ◽

Laminar Natural Convection

Three dimensional laminar natural convection flow of and heat transfer in incompressible air between two inclined parallel plates are analyzed with the Boussinesq approximation by using spectral methods. The plates are assumed to be infinitely long in streamwise (x) and spanwise (z) directions. For these directions, periodic boundary conditions are used and for the normal direction (y), constant wall temperature and no slip boundary conditions are used. Unsteady Navier-Stokes and energy equations are solved using a pseudospectral approach in order to obtain velocity and temperature fields inside the channel. Fourier series are used to expand the variables in × and z directions, while Chebyshev polynomials are used to expand the variables in y direction. By using the temperature distribution between the plates, local and average Nusselt numbers (Nu) are calculated. Nu values are correlated with φ, which is the inclination angle, and with Ra·cosφ to compare the results with the literature.

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