Local similarity solutions for boundary layer flow of a FENE-P fluid

2006 ◽  
Vol 173 (1) ◽  
pp. 593-602 ◽  
Author(s):  
David O. Olagunju
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Similarity Solutions ◽  
Local Similarity ◽  
Layer Flow

scholarly journals ANALYTICAL STUDY FOR THE BOUNDARY LAYER FLOW IN THE PRESENCE OF HEAT TRANSFER THROUGH A POROUS MEDIUM

2021 ◽  
Vol 8 (65) ◽  
pp. 15142-15146
Author(s):  
Ram Naresh Singh
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Porous Medium ◽  
Boundary Layer Flow ◽  
Numerical Solutions ◽  
Finite Difference Schemes ◽  
Local Similarity ◽  
High Porosity ◽  
Flow Through ◽  
Layer Flow

In this paper we study a problem of the boundary layer flow through a porous media in the presence of heat transfer. Here we consider high porosity bounded by a semi-infinite horizontal plate. The main aim of this study is to point out local similarity transformations for the boundary layer flow, through a homogeneous porous medium. Here we applying finite difference schemes to find out the numerical solutions of the problem. The free stream velocity and the temperature far away from the plate are exponential function of variables.

Vortex Instability in Buoyancy-Induced Flow over Inclined Heated Surfaces in Porous Media

1979 ◽  
Vol 101 (4) ◽  
pp. 660-665 ◽  
Author(s):  
C. T. Hsu ◽  
Ping Cheng
Keyword(s):  
Boundary Layer ◽  
Inclination Angle ◽  
Boundary Layer Flow ◽  
Heated Surface ◽  
Wave Number ◽  
Heated Plate ◽  
Local Similarity ◽  
Linear Temperature ◽  
Vortex Instability ◽  
Layer Flow

A linear stability analysis is performed for the study of the onset of vortex instability in free convective flow over an inclined heated surface in a porous medium. The undisturbed state is assumed to be the steady two-dimensional buoyancy-induced boundary layer flow which is characterized by a non-linear temperature profile. By a scaling argument, it is shown that the length scales of disturbances are smaller than those for the undisturbed boundary layer flow, thus, confirming the so-called “bottling effects” whereby the disturbances are confined within the boundary layer. By neglecting the lowest order terms in the three-dimensional disturbances equations, the simplified equations are solved based on the local similarity approximations, wherein the disturbances are assumed to have a weak dependence in the streamwise direction. The resulting eigenvalue problem is solved numerically. The critical parameter and the critical wave number of disturbances at the onset of vortex instability are computed for different prescribed wall temperature distribution of the inclined surface. It is found that the larger the inclination angle with respect to the vertical, the more susceptible is the flow for the vortex mode of disturbances; and in the limit of zero inclination angle (i.e., a vertical heated plate) the flow is stable for this form of disturbances.

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