Author: Tse-Fou Zien
Publisher:
ISBN:
Category : Laminar boundary layer
Languages : en
Pages : 60
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The skin friction on a porous flat plate in the presence of an incompressible laminar boundary layer is calculated by a generalization of a refined integral technique. This method is based on a double integration of the momentum equation, replacing the skin-friction term by an integral representation involving the assumed velocity profile. Both a case of similarity blowing of suction and a case of uniform blowing or suction were studied. Using two simple and crude velocity profiles of polynominal form with constant coefficients, closed-form solutions are obtained through simple procedures and compared with the available exact solutions. The same profiles are then employed in the usual integral method to calculate the corresponding skin friction. (Author).
Author: Tse-Fou Zien
Publisher:
ISBN:
Category :
Languages : en
Pages : 31
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Book Description
The skin friction on a porous flat plate in the presence of an incompressible laminar boundary layer is calculated by a generalization of a refined integral technique. This method is based on a double integration of the momentum equation, replacing the skin-friction term by an integral representation involving the assumed velocity profile. Both a case of similarity blowing of suction and a case of uniform blowing or suction were studied. Using two simple and crude velocity profiles of polynominal form with constant coefficients, closed-form solutions are obtained through simple procedures and compared with the available exact solutions. The same profiles are then employed in the usual integral method to calculate the corresponding skin friction. (Author).
Author:
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ISBN:
Category : Science
Languages : en
Pages : 922
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Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 978
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Author: Tse-Fou Zien
Publisher:
ISBN:
Category : Equations of motion
Languages : en
Pages : 96
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An approximate method of calculating the surface heat transfer in a transpired boundary layer is presented. The method is based on an idea for refining the momentum integral technique. A semi-infinite, isothermal flat plate with uniform surface mass flux is used to demonstrate the method. The flow is assumed to be laminar. Results are presented for both incompressible and compressible boundary layers, and comparisons are made with numerical solutions or other approximate results. The findings are indicative of the potential of the method for development into an efficient tool for studying boundary-layer flows of a more complex nature. (Author Modified Abstract).
Author: Tse-Fou Zien
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 48
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A simple procedure is developed for approximate calculations of wall heat-transfer rates in transpired boundary layers. Applications of this procedure are illustrated by various examples of incompressible, laminar flows in the limits of large and small Prandtl numbers. A distinguished limit of large Prandtl number and small mass-transfer rate is easily identified, and some limiting solutions are presented for the porous-plate configuration. Calculations for the cases with small Prandtl numbers explicitly demonstrate the usefulness of the method in studying transient heat-conduction problems. The remarkable combination of accuracy and simplicity represents the principal merit of the method. (Author).
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ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 568
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Author: Tse-Fou Zien
Publisher:
ISBN:
Category : Boundary layer control
Languages : en
Pages : 74
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A refined Karman-Pohlhausen method previously generalized by Zien to include the effects of mass transfer is further explored and its application is extended to cases involving both pressure gradients and surface mass transfer. The case with piece-wise suction (or blowing) is also included. The study is restricted to plane, incompressible, laminar boundary layers. Configurations of flat plates and circular cylinders are chosen to illustrate the application of the method. Results are given mainly in terms of skin frictions, and they are presented entirely in closed forms. The calculations for the porous plate case are carried out using rather elaborate velocity profiles, but the results differ negligibly from previous ones with very simple profiles. A linear velocity profile is then used to carry out some exploratory calculations for more complex flows. The method is shown to be a potentially efficient tool for handling the problem of boundary-layer control by means of surface mass transfer. (Author).
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ISBN:
Category : Technology
Languages : en
Pages : 238
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Author:
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ISBN:
Category : Engineering
Languages : en
Pages : 942
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