Approximate solution of the transient free convection laminar boundary layer equations

1969 ◽  
Vol 20 (1) ◽  
pp. 19-33 ◽  
Author(s):  
Roger P. Heinisch ◽  
Raymond Viskanta ◽  
Ralph M. Singer
Keyword(s):  
Boundary Layer ◽  
Approximate Solution ◽  
Free Convection ◽  
Laminar Boundary Layer ◽  
Boundary Layer Equations

Possible Similarity Solutions for Laminar Free Convection on Vertical Plates and Cylinders

1960 ◽  
Vol 27 (2) ◽  
pp. 230-236 ◽  
Author(s):  
Kwang-Tzu Yang
Keyword(s):  
Boundary Layer ◽  
Free Convection ◽  
Laminar Boundary Layer ◽  
Sufficient Conditions ◽  
Similarity Solutions ◽  
Necessary And Sufficient Conditions ◽  
Boundary Layer Equations ◽  
Necessary And Sufficient ◽  
Unsteady Conditions ◽  
General Conditions

In this paper, a study is made of the unsteady laminar boundary-layer equations for free convection on vertical plates and cylinders to establish necessary and sufficient conditions under which similarity solutions are possible. On the basis of these conditions, all possible cases are derived, including those for unsteady conditions. And it is found that the available similarity solutions in the literature have essentially covered all steady cases, except that the present analysis shows that somewhat more general conditions may also be taken in account.

Laminar Boundary∼Layer Free Convection along an Inclined, Isothermal Surface

1972 ◽  
Vol 1 (4) ◽  
pp. 189-196 ◽  
Author(s):  
J.B. Lee ◽  
G.S.H. Lock
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Free Convection ◽  
Laminar Boundary Layer ◽  
Theoretical Consideration ◽  
Plane Surface ◽  
Convection Flow ◽  
Inclined Plane ◽  
Free Convection Flow ◽  
Boundary Layer Equations

This paper gives theoretical consideration to the problem of laminar, boundary-layer, free convection flow along a long, inclined, plane surface heated isothermally. Development of the appropriate boundary-layer equations is followed by their numerical solution for air. The effects of inclination and position on heat transfer and the temperature, pressure and velocity profiles are presented graphically for RaL ≤ 106.

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