A Comparison of Five Methods of Calculating Aerodynamic Stagnation-Point Heat Transfer at Velocities of 25,000 to 40,000 fps

1963 ◽  
Vol 30 (3) ◽  
pp. 430-434 ◽  
Author(s):  
Stefan Schreier

Five methods of calculating aerodynamic stagnation-point heat transfer at velocities of 25,000 to 40,000 fps are considered. Three of these methods are simple extrapolations of techniques previously developed for calculations below 25,000 fps. The other two are methods especially developed for velocities above 25,000 fps. The five methods are: The method of Fay and Riddell [1]; the method of Scala [2]; the reference enthalpy method [3]; the method of Adams [4]; and the method of Cohen [5]. Methods [4] and [5] are the methods developed for the higher velocities. The results are presented in graphical form. It is found that the extrapolation of the reference enthalpy method and the correlation formula of Fay and Riddell yield results so close to those of Cohen that, in view of the uncertainties involved in the latter method, using the former two methods over the range of values considered in the present paper yields results at least as satisfactory as those of Cohen for equilibrium flow. Furthermore it is found that extrapolation of the formula of Fay and Riddell for frozen flow yields results sufficiently close to those obtained by the method of Adams that, in view of the uncertainties of the latter method, the advantage of its use over the former in the range of values under consideration is questionable.

2020 ◽  
Vol 142 (7) ◽  
Author(s):  
S. Dholey

Abstract The combined influence of normal transpiration and tangential movement of a porous surface on the unsteady separated stagnation-point flow and heat transfer of a viscous fluid is studied. This study is based on five physical parameters, namely (i) flow strength parameter a, (ii) suction/injection parameter d, (iii) plate velocity parameter λ, (iv) unsteadiness parameter β, and (v) Prandtl number Pr. This analysis shows an interesting relation β = 2a which allows us to derive some closed-form analytic solutions depending upon the unlikely values of d. For suction d > 0, two attached flow solutions (AFS) without point of inflection are found in the range (−ad2/4−3<λ<−3), whereas for λ > −3 only one solution of the same type is found for any given value of d. Besides them, the numerical computations reveal two types of AFS—one without and the other with a point of inflection in the range (−1.24658 ≤λ≤ −1.07) when d = β = 0. The present analysis confirms the nonexistence of the second attached flow solution after a certain value of suction d depending upon the choice of the values of λ in this range. A reverse flow solution (RFS) along with the above two solutions is found for a negative value of β which continues even for large rate of suction d. The asymptotic solutions of this flow problem have also been derived for large values of d which provide with the exact results after a certain value of d depending upon the values of the other parameters.


2005 ◽  
Vol 128 (2) ◽  
pp. 203-206 ◽  
Author(s):  
A.-R. A. Khaled

Heat transfer through joint fins is modeled and analyzed analytically in this work. The terminology “joint fin systems” is used to refer to extending surfaces that are exposed to two different convective media from its both ends. It is found that heat transfer through joint fins is maximized at certain critical lengths of each portion (the receiver fin portion which faces the hot side and the sender fin portion that faces the cold side of the convective media). The critical length of each portion of joint fins is increased as the convection coefficient of the other fin portion increases. At a certain value of the thermal conductivity of the sender fin portion, the critical length for the receiver fin portion may be reduced while heat transfer is maximized. This value depends on the convection coefficient for both fin portions. Thermal performance of joint fins is increased as both thermal conductivity of the sender fin portion or its convection coefficient increases. This work shows that the design of machine components such as bolts, screws, and others can be improved to achieve favorable heat transfer characteristics in addition to its main functions such as rigid fixation properties.


Author(s):  
C. P. Howard

The results are presented from a numerical finite-difference method of calculation for the transient behavior of porous media when subjected to a step change in fluid temperature considering the case where the longitudinal thermal heat conduction cannot be neglected. These results, given in tabular and graphical form, provide a useful means for evaluating the heat-transfer data obtained from the transient testing of compact heat-exchanger surfaces.


1983 ◽  
Vol 10 (4) ◽  
pp. 740-747 ◽  
Author(s):  
G. Ahmadi ◽  
P. G. Glockner

The problem of collapse by ponding of air-supported elastic spherical caps subjected to a distributed axisymmetric central load is investigated. Cases of uniform and nonuniform load intensity are considered and the expressions for the critical intensities for the onset of collapse are derived. Numerical solutions are obtained for a range of values of the parameters and the results are presented in graphical form. The interpretation of the results in terms of some initial depressions filled with a ponding fluid is also discussed.


Sign in / Sign up

Export Citation Format

Share Document