scholarly journals On the heat transfer to an accelerated translating droplet

2004 ◽  
Vol 31 (2) ◽  
pp. 85-99
Author(s):  
S. Hanchi ◽  
H. Oualli ◽  
R. Askovic

An analysis is made for the transient response behavior of the both, outer and inner, thermal boundary layers of a fluid sphere moving at constant acceleration with internal circulation in an other viscous fluid of large extent initially at rest under the condition of large Reynolds and Peclet numbers. The disturbance is initiated by a step change in temperature of either the continuous or disperse region fluids. The approximate solutions of the governing energy equations are found by using the inviscid approximations for the flow fields.

1969 ◽  
Vol 91 (2) ◽  
pp. 273-280 ◽  
Author(s):  
B. T. Chao

An analysis is made for the transient response behavior of thermal or concentration boundary layers of a fluid sphere moving at constant velocity with internal circulation in another fluid of large extent under the condition of large Reynolds and Peclet numbers. The disturbance is initiated by a step change in temperature or solute concentration of either the continuous or disperse region fluids. The governing energy or mass conservation equations are solved using similarity transformations. The result shows that the growth of the boundary layers is independent of the fluid properties but is governed by a single parameter; namely, the product of the translating speed and time divided by the droplet radius. For all practical purposes, the transients will die out when the value of that parameter attains unity.


1994 ◽  
Vol 116 (1) ◽  
pp. 23-28 ◽  
Author(s):  
K. Dullenkopf ◽  
R. E. Mayle

The effect of free-stream turbulence and moving wakes on augmenting heat transfer in accelerating laminar boundary layers is considered. First, the effect of free-stream turbulence is re-examined in terms of a Nusselt number and turbulence parameter, which correctly account for the free-stream acceleration and a correlation for both cylinders in crossflow and airfoils with regions of constant acceleration is obtained. This correlation is then used in a simple quasi-steady model to predict the effect of periodically passing wakes on airfoil laminar heat transfer. A comparison of the predictions with measurements shows good agreement.


1962 ◽  
Vol 84 (1) ◽  
pp. 40-43 ◽  
Author(s):  
J. R. Bodoia ◽  
J. F. Osterle

The development of free convection in a viscous fluid between heated vertical plates is investigated. The basic governing continuity, momentum, and energy equations are expressed in finite difference form and solved numerically on a digital computer. Results are obtained for the variations of velocity, temperature, and pressure throughout the flow field assuming the fluid to enter the channel with ambient temperature and a flat velocity profile. The flow and heat-transfer characteristics of the channel are studied and a development height established. A comparison is made between the results of this theoretical investigation and the experimental work of Elenbaas.


1954 ◽  
Vol 5 (1) ◽  
pp. 25-38 ◽  
Author(s):  
K. E. G. Wieghardt

SummaryA simple one parametric method, due to A. Walz and based on the momentum and energy equations, for calculating approximately laminar boundary layers is extended to cover axi-symmetric flow as well as plane flow. The necessary computing work is reduced a little.Another known method which requires still less computing work is also extended for axi-symmetric flow and, with the amendment of a numerical constant, proves adequate for practical purposes.


Author(s):  
Anton Vladimirovich Eremin ◽  
Konstantin Viktorovich Trubitsyn ◽  
Andrei Igorevich Popov ◽  
Kristina Vladimirovna Gubareva
Keyword(s):  

New solutions are presented for non-stationary boundary layers induced by planar, cylindrical and spherical Chapman-Jouguet (C-J) detonation waves. The numerical results show that the Prandtl number ( Pr ) has a very significant influence on the boundary-layer-flow structure. A comparison with available time-dependent heat-transfer measurements in a planar geometry in a 2H 2 + O 2 mixture shows much better agreement with the present analysis than has been obtained previously by others. This lends confidence to the new results on boundary layers induced by cylindrical and spherical detonation waves. Only the spherical-flow analysis is given here in detail for brevity.


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