scholarly journals Heat transfer in a rarefied gas enclosed between parallel plates: Role of boundary conditions

1982 ◽  
Vol 25 (7) ◽  
pp. 1162 ◽  
Author(s):  
S. K. Loyalka
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Rarefied Gas ◽  
Parallel Plates

scholarly journals Differential Equations and Boundary Conditions for Higher Gas Kinetic Moments. Heat Transfer Between Parallel Plates

1977 ◽  
Vol 32 (7) ◽  
pp. 667-677 ◽  
Author(s):  
H. Vestner ◽  
L. Waldmann
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Parallel Plates ◽  
Formula One ◽  
Linearized Boltzmann Equation ◽  
Transport Relaxation ◽  
Monatomic Gas

Abstract Transport-relaxation equations for seventeen moments are derived from the linearized Boltzmann equation for a monatomic gas. Besides the well-known thirteen moments (i. e. density n, tempera­ture T, velocity ν, heat flux q, friction pressure tensor ), one additional scalar A and one ad­ditional vector A are taken into account. In steady state, differential equations for T, v. A and constitutive laws for q, , A follow from the transport-relaxation equations. Boundary conditions for T, v, A are obtained by the thermodynamical method from the interfacial entropy production. The role of the higher moments A and A for heat transfer in a gas between parallel plates is dis­cussed. The heat flux has the correct low pressure limit. Due to the presence of A and A, expo­nential terms occur in the temperature profile near the boundary.

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

2006 ◽  
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.

Heat transfer between infinite parallel plates in a rarefied gas

1972 ◽  
Vol 7 (1) ◽  
pp. 77-80 ◽  
Author(s):  
A. M. Bishaev ◽  
V. A. Rykov
Keyword(s):  
Heat Transfer ◽  
Rarefied Gas ◽  
Parallel Plates

Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions

2019 ◽  
Vol 15 (2) ◽  
pp. 492-507 ◽  
Author(s):  
K. Ramesh ◽  
Sartaj Ahmad Eytoo
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Porous Medium ◽  
Boundary Conditions ◽  
Closed Form ◽  
Parallel Plates ◽  
Slip Boundary Conditions ◽  
Content Type ◽  
Closed Form Solutions ◽  
Slip Boundary

Purpose The purpose of this paper is to investigate the three fundamental flows (namely, both the plates moving in opposite directions, the lower plate is moving and other is at rest, and both the plates moving in the direction of flow) of the Ree-Eyring fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the intention of the study is to examine the effect of different physical parameters on the fluid flow. Design/methodology/approach The mathematical modeling is performed on the basis of law of conservation of mass, momentum and energy equation. The modeling of the present problem is considered in Cartesian coordinate system. The governing equations are non-dimensionalized using appropriate dimensionless quantities in all the mentioned cases. The closed-form solutions are presented for the velocity and temperature profiles. Findings The graphical results are presented for the velocity and temperature distributions with the pertinent parameters of interest. It is observed from the present results that the velocity is a decreasing function of Hartmann number. Temperature increases with the increase of Ree-Eyring fluid parameter, radiation parameter and temperature slip parameter. Originality/value First time in the literature, the authors obtained closed-form solutions for the fundamental flows of Ree-Erying fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the results of this paper are new and original.

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