Solution of the inverse contact problem of heat transfer in a rectangular plate

1983 ◽  
Vol 45 (5) ◽  
pp. 1250-1253
Author(s):  
N. F. Dormodikhina ◽  
A. A. Kosarev ◽  
L. I. Kosareva ◽  
L. S. Milovskaya
2015 ◽  
Vol 8 (S1) ◽  
pp. 110
Author(s):  
Jae Young Kim ◽  
Tai Heoun Park ◽  
Jong Bok Park ◽  
Doo seuk Choi ◽  
Key Sun Kim

1968 ◽  
Vol 90 (3) ◽  
pp. 218-228 ◽  
Author(s):  
A. L. London ◽  
R. K. Shah

Basic heat transfer and flow friction design data are presented for eight offset rectangular plate-fin surfaces. One of the configurations had a heat transfer area density ratio of 1772 sq ft/ cu ft, one of the most compact plate-fin surfaces ever tested at Stanford University.


2002 ◽  
Vol 15 (1) ◽  
pp. 1-18 ◽  
Author(s):  
C. Ramirez ◽  
D. B. Murray ◽  
J. A. Fitzpatrick

2020 ◽  
Vol 19 (3) ◽  
pp. 224-229
Author(s):  
S. V. Bosakov

Until the present time there is no exact solution to the contact problem for a rectangular plate on an elastic base with distribution properties. Practical analogues of this design are slab foundations widely used in construction. A lot of scientists have solved this problem in various ways. The methods of finite differences, B. N. Zhemochkin and power series do not distinguish a specific feature in contact stresses at the edges of the plate. The author of the paper has obtained an expansion of the Boussinesq solution for determining displacements of the elastic half-space surface in the form of a double series according to the Chebyshev polynomials of the first kind in a rectangular region. For the first time, such a representation for the symmetric part of the Boussinesq solution was obtained by V. I. Seimov and it has been applied to study symmetric vibrations of a rectangular stamp, taking into account inertial properties of the half-space. Using this expansion, the author gives a solution to the problem for a rectangular plate lying on an elastic half-space under the action of an arbitrarily applied concentrated force. In this case, the required displacements are specified in the form of a double row in the Chebyshev polynomials of the first kind. Contact stresses are also specified in the form of a double row according to the Chebyshev polynomials of the first kind with weight. In the integral equation of the contact problem integration over a rectangular region is performed while taking into account the orthogonality of the Chebyshev polynomials. In the resulting expression the coefficients are equal for the same products of the Chebyshev polynomials. The result is an infinite system of linear algebraic equations, which is solved by the amplification method. Thus the sought coefficients are found in the expansion for contact stresses.


2004 ◽  
Vol 20 (1) ◽  
pp. 33-41 ◽  
Author(s):  
T.Y. Chen ◽  
Y.H. Chen

ABSTRACTHeat transfer and near-wall flow characteristics in an inherently swirling fan flow, containing rectangular-plate turbulators with 45° and 90° angles of attack, were experimentally investigated. The heat transfer characteristics for uniform flows with the turbulators were also investigated for comparison. Eight heated aluminum plates, installed along a bottom duct-wall, were used as the heat transfer surfaces, which allows the studies of heat transfer variations along the duct and the studies of the relations between the local fluid flows and heat transfer variations. Three-component mean and fluctuating velocities were measured using a laser Doppler velocimetry to obtain the near-wall flow parameters, including the axial mean velocity, axial vorticity and turbulent kinetic energy. The temperatures on the eight heat transfer surfaces were measured using thermocouples to obtain the Stanton number distributions. Results suggest that the rectangular-plate turbulators in fan flows may cause the increases in the near-wall flow parameters and, consequently, augment the heat transfer, especially around the flow reattachment regions. Also, the rectangular-plate turbulator effect on heat transfer augmentation in fan flows may be as attractive as that in uniform flows at the investigated X/H ranges.


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