Heat transfer in higher-order boundary layer flows at low Prandtl number with suction and injection

1976 ◽  
Vol 10 (1) ◽  
pp. 55-67
Author(s):  
N. Afzal
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Prandtl Number ◽  
Higher Order ◽  
Boundary Layer Flows

Asymptotic expansions for laminar forced-convection heat and mass transfer Part 2. Boundary-layer flows

1966 ◽  
Vol 24 (2) ◽  
pp. 339-366 ◽  
Author(s):  
J. D. Goddard ◽  
Andreas Acrivos
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Mass Transfer ◽  
Prandtl Number ◽  
Order Term ◽  
Higher Order ◽  
Convection Heat ◽  
Boundary Layer Flows ◽  
Prandtl Numbers ◽  
Higher Order Term

This is the second of two articles by the authors dealing with asymptotic expansions for forced-convection heat or mass transfer to laminar flows. It is shown here how the method of the first paper (Acrivos & Goddard 1965), which was used to derive a higher-order term in the large Péclet number expansion for heat or mass transfer to small Reynolds number flows, can yield equally well higher-order terms in both the large and the small Prandtl number expansions for heat transfer to laminar boundary-layer flows. By means of this method an exact expression for the first-order correction to Lighthill's (1950) asymptotic formula for heat transfer at large Prandtl numbers, as well as an additional higher-order term for the small Prandtl number expansion of Morgan, Pipkin & Warner (1958), are derived. The results thus obtained are applicable to systems with non-isothermal surfaces and arbitrary planar or axisymmetric flow geometries. For the latter geometries a derivation is given of a higher-order term in the Péclet number expansion which arises from the curvature of the thermal layer for small Prandtl numbers. Finally, some applications of the results to ‘similarity’ flows are also presented.

On Heat Transfer in Laminar Boundary-Layer Flows of Liquids Having a Very Small Prandtl Number

1958 ◽  
Vol 25 (3) ◽  
pp. 173-180 ◽  
Author(s):  
G. W. MORGAN ◽  
A. C. PIPKIN ◽  
W. H. WARNER
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Prandtl Number ◽  
Laminar Boundary Layer ◽  
Boundary Layer Flows

Unsteady Natural Convection Heat Transfer Past a Vertical Flat Plate Embedded in a Porous Medium Saturated With Fractional Oldroyd-B Fluid

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Jinhu Zhao ◽  
Liancun Zheng ◽  
Xinxin Zhang ◽  
Fawang Liu ◽  
Xuehui Chen
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Porous Medium ◽  
Natural Convection ◽  
Prandtl Number ◽  
Fractional Derivative ◽  
Convection Heat Transfer ◽  
Natural Convection Heat Transfer ◽  
Convection Heat ◽  
Elastic Effect

This paper investigates natural convection heat transfer of generalized Oldroyd-B fluid in a porous medium with modified fractional Darcy's law. Nonlinear coupled boundary layer governing equations are formulated with time–space fractional derivatives in the momentum equation. Numerical solutions are obtained by the newly developed finite difference method combined with L1-algorithm. The effects of involved parameters on velocity and temperature fields are presented graphically and analyzed in detail. Results indicate that, different from the classical result that Prandtl number only affects the heat transfer, it has remarkable influence on both the velocity and temperature boundary layers, the average Nusselt number rises dramatically in low Prandtl number, but increases slowly with the augment of Prandtl number. The maximum value of velocity profile and the thickness of momentum boundary layer increases with the augment of porosity and Darcy number. Moreover, the relaxation fractional derivative parameter accelerates the convection flow and weakens the elastic effect significantly, while the retardation fractional derivative parameter slows down the motion and strengthens the elastic effect.

Errata: "Boundary-Layer Flows with Large Injection and Heat Transfer"

AIAA Journal ◽  
1968 ◽  
Vol 6 (6) ◽  
pp. 1215-1216 ◽  
Author(s):  
T. KUBOTA ◽  
F. L. FERNANDEZ
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flows ◽  
Large Injection

Injection effects in high Prandtl number boundary-layer flows.

AIAA Journal ◽  
1968 ◽  
Vol 6 (9) ◽  
pp. 1796-1797 ◽  
Author(s):  
D. R. KASSOY
Keyword(s):  
Boundary Layer ◽  
Prandtl Number ◽  
Boundary Layer Flows ◽  
High Prandtl Number

Effects of dissipation on heat transfer due to second order boundary layer flows

1974 ◽  
Vol 7 (2) ◽  
pp. 79-86 ◽  
Author(s):  
Noor Afzal ◽  
S. C. Raisinghani
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Second Order ◽  
Boundary Layer Flows

Boundary-layer flows with large injection and heat transfer.

AIAA Journal ◽  
1968 ◽  
Vol 6 (1) ◽  
pp. 22-28 ◽  
Author(s):  
TOSHI KUBOTA ◽  
FRANK L. FERNANDEZ
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flows ◽  
Large Injection
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