Asymptotic solution of the shock layer equations near the stagnation point of a sphere with intense blowing

1975 ◽  
Vol 8 (1) ◽  
pp. 152-156
Author(s):  
G. A. Danilin
Keyword(s):  
Asymptotic Solution ◽  
Stagnation Point ◽  
Shock Layer

Asymptotic Solution for Viscous, Absorbing, Emitting Shock Layer

AIAA Journal ◽  
1971 ◽  
Vol 9 (10) ◽  
pp. 1920-1928 ◽  
Author(s):  
MARTIN C. JISCHKE
Keyword(s):  
Asymptotic Solution ◽  
Shock Layer

Unsteady Stagnation Point Heat Transfer with Blowing or Suction

1981 ◽  
Vol 103 (3) ◽  
pp. 448-452 ◽  
Author(s):  
Takao Sano
Keyword(s):  
Heat Transfer ◽  
Temperature Field ◽  
Prandtl Number ◽  
Asymptotic Solution ◽  
Stagnation Point ◽  
Wall Temperature ◽  
Step Change ◽  
Surface Heat ◽  
Unsteady Heat Transfer ◽  
Prandtl Numbers

The effects of blowing and suction on unsteady heat transfer at a stagnation point due to a step change in wall temperature are examined. Two asymptotic solutions for the temperature field at large and small Prandtl numbers are presented. It is shown that the asymptotic solution for large Prandtl number gives sufficiently accurate results for the surface heat transfer even for the moderate values of Prandtl number if Euler transformation is applied to the series.

Condensation of a Quiescent Vapor by a Stagnation-Point Liquid Flow

2018 ◽  
Vol 140 (5) ◽  
Author(s):  
R. Balasubramaniam ◽  
E. Ramé
Keyword(s):  
Heat Transfer ◽  
Temperature Field ◽  
Asymptotic Solution ◽  
Stagnation Point ◽  
Excellent Agreement ◽  
Liquid Flow ◽  
Vapor Flow ◽  
Liquid Temperature ◽  
Subcooled Liquid ◽  
Noncondensable Gas

We analyze the condensation of a quiescent vapor, that is in equilibrium with its liquid, induced by a stagnation point flow in the liquid. The liquid flow brings subcooled liquid from far away to the interface. The ensuing heat transfer causes the vapor to condense. A similarity formulation for the liquid and vapor flow fields and the liquid temperature field is pursued, and a perturbation solution is performed when the ratio of the product of viscosity and density of the vapor to that of the liquid is small. A two-term higher order asymptotic solution is shown to be in excellent agreement with numerical results. The reduction in the rate of condensation due to the presence of a noncondensable gas in the vapor that is insoluble in the liquid is also analyzed.

scholarly journals Unsteady Reversed Stagnation-Point Flow over a Flat Plate

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Vai Kuong Sin ◽  
Chon Kit Chio
Keyword(s):  
Laminar Flow ◽  
Flow Field ◽  
Asymptotic Solution ◽  
Stagnation Point ◽  
Stokes Equations ◽  
Stagnation Point Flow ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Total Flow ◽  
Navier Stokes Equations

This paper investigates the nature of the development of two-dimensional laminar flow of an incompressible fluid at the reversed stagnation-point. Proudman and Johnson (1962) first studied the flow and obtained an asymptotic solution by neglecting the viscous terms. Robins and Howarth (1972) stated that this is not true in neglecting the viscous terms within the total flow field. Viscous terms in this analysis are now included, and a similarity solution of two-dimensional reversed stagnation-point flow is investigated by solving the full Navier-Stokes equations.

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